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[(tested)-390.4(for)-393.2(structura)-9.7(l)-384.8(multist)-9.7(ability,)-394.1(applying)-394.7(chemical)-397.9(reaction)-394.5(networ)-9.3(k)-387.7(theory)-392.4(\(CRNT\))-391.6(\(Fei)-8.8(nberg,)-389.2(1987,)]TJ T* [(1988\).)-364.7(CRNT)-369(is)-358.3(a)-361.1(powe)-8.8(rful)-362.6(theoretic)-11.1(al)-358.9(tool)-361.4(to)-362.8(establ)-9.2(ish)-359.1(whe)-8(ther)-362.4(an)-361.8(assigned)-367.6(reac)-10.4(tion)-361.4(networ)-9.3(k,)-359.6(endowed)]TJ T* [(with)-314.1(mass)-312.3(act)-8.6(ion)-306.7(kine)-7.6(tics,)-313.5(can)-313.2(exhi)-7.6(bit)-309.4(multipl)-8.5(e)-309.8(steady)-313.7(sta)-8(tes,)-310(inde)-7.6(pendently)-317.6(of)-310.8(the)-314.1(particular)-315.4(choi)-7.6(ce)-312.4(of)-310.8(the)]TJ T* [(kinetic)-370(parame)-9.7(ter)-367.3(values.)-365.3(Appl)-9.7(ying)-364.3(CRNT,)-369.4(we)-365.7(were)-371(able)-367.9(to)-362.8(conclud)-11.7(e)-361.1(that)-368.9(both)-364.3(Smidta)-8.9(s)-363.2(and)-368.3(Kulkarni)-10.7(s)]TJ 0 -1.195 TD [(models)-423.6(cannot)-426.3(exhi)-7.6(bit)-417.5(bistabi)-10.9(lity)-421.1(\(see)-419.5(Appe)-8.8(ndix\);)-421.8(instea)-9.2(d,)-422.2(our)-419.7(model)-421.6(veri)-9.6(es)-419.9(the)-422.2(CRNT)-425.9(conditio)-10.5(ns)-418.1(for)]TJ 0 -1.2007 TD [(bistabil)-8.7(ity,)-378.1(and)-379.7(in)-374.2(fact,)-381.6(it)-376.9(can)-381.4(reproduce)-386.1(the)-376.7(pers)-8(istent)-380(memory)-379.6(behavi)-10.9(or)-373.4(ob)-7.2(served)-381.2(in)-374.2(Aca)-9.8(r)-372.6(e)0(t)-381.7(al.)-376.3(\(2005\).)]TJ T* [(Subsequ)-7.5(ently,)-273.3(we)-274.7(have)-274.1(also)-270.6(perform)-10.9(ed)-270.8(an)-270.8(analysi)-9.9(s)-269.4(o)0(f)-265.3(the)-274.3(DA,)-271.5(appl)-7.6(ying)-273.3(our)-271.7(method)-274.4(devised)-274.6(in)-271.8(Amato)-277.6(et)-267.8(al.)]TJ T* [(\(2007\),)-339(to)-334.3(charact)-11.5(erize)-338.3(the)-336.9(persistenc)-11.5(e)-332.6(o)-6.5(f)-332.8(cellular)-340.4(memor)-8.9(y)-330.8(i)0(n)-334.3(corr)-8.8(espond)-7.6(ence)-338.5(of)-333.6(both)-335.9(equi)-7.6(librium)-337.8(points.)]TJ 1.0015 -1.2007 TD [(This)-308.4(artic)-9.2(le)-307.7(is)-307.1(struct)-9.4(ured)-308.4(as)-311.8(follows:)-317.4(Section)-315.2(2)-302.4(p)-6.5(rovides)-309(a)-309.8(bri)-7(ef)-306.9(overv)-7.6(iew)-306.7(o)-6.5(f)-304.3(the)-308.4(b)-6.5(iochemica)-11.7(l)-305.1(networ)-9.3(k)-308.1(o)0(f)]TJ -1.0015 -1.2007 TD [(the)-268.6(GAL)-266(regulat)-10.7(ory)-266(system.)-271.5(In)-259.6(Se)-8.2(ction)-267.2(3,)-262.9(we)-269(describe)-273.5(the)-262.9(new)-269.8(mathemat)-12.6(ical)-268.2(model)-268(devised)-268.9(to)-266.1(replic)-10(ate)-264.7(the)]TJ T* [(persistent)-314.1(memor)-8.9(y)-302.4(prope)-7.6(rty)-302.9(of)-305.1(the)-308.4(GAL)-311.6(system.)-311.3(The)-305.5(theo)-7.6(retical)-311.2(analysi)-9.9(s)-303.6(tools)-306.4(used)-307.6(in)-305.9(the)-308.4(present)-9.1(ed)-304.9(study)]TJ T* [(are)-440.3(disc)-8.8(ussed)-440.5(in)-442.5(Section)-446.1(4,)-439.3(and)-442.2(their)-445.6(applica)-10.5(tion)-441.1(is)-438(illus)-7.6(trated)-442.4(in)-442.5(the)-439.3(Sect)-8.6(ion)-437.5(5,)-439.3(alon)-7.6(g)-438.9(with)-445(the)-439.3(resu)-8(lts)]TJ 0 -1.195 TD [(obtaine)-8.7(d)-393.4(through)-397(nume)-8.4(rical)-396.2(simul)-8.4(ations.)-400.4(Finally,)-396.3(in)-396.9(Sect)-8.6(ion)-392(6,)-393.8(we)-399.9(discuss)-400.4(the)-393.8(resu)-8(lts)-396(and)-396.7(provide)-398.8(som)-7(e)]TJ 0 -1.2007 TD [(concludi)-9.5(ng)-280.4(remarks.)-285.4(Some)-280.7(addi)-7.6(tional)-282.1(mater)-10(ials,)-279.4(includi)-9.7(ng)-280.4(detailed)-287.2(models)-281.3(and)-282.9(parame)-9.7(ter)-282(values,)-285.6(are)-281(given)]TJ T* [(in)-334.3(the)-336.9(Appendi)-8.1(x.)]TJ /F2 1 Tf 10.959 0 0 10.959 185.4991 165.5433 Tm [(2.)-501.9(GAL)-328.5(REGULATORY)-330.5(NETWORK)-329.5(IN)]TJ /F3 1 Tf 18.3234 0 TD [(S.)-330.9(CEREVISI)]TJ /F6 1 Tf 9.9626 0 0 9.9626 117.5811 141.6189 Tm [(S.)-240.2(cere)-9.6(visiae)]TJ /F1 1 Tf 5.315 0 TD [(exhibits)-250.7(the)-245.8(capability)-251.6(to)-243.3(metabo)-8.7(lize)-245.5(gala)-9.4(ctose)-244.7(by)-246.2(activatin)-11.9(g)-239.8(the)-245.8(coord)-7.6(inated)-247(transcr)-11.1(iption)-246.2(of)]TJ -6.3165 -1.195 TD [(both)-273.3(str)-8.2(uctural)-278.2(and)-277.2(regulatory)-282.4(genes)-8.6(.)-273.5(This)-274.3(set)-275.5(of)-276.6(genes)-281.7(enables)-282.1(yeast)-278.8(cells)-275.9(to)-277.4(use)-272.7(gala)-9.4(ctose)-278.8(as)-272(an)-276.5(alter)-9.2(native)]TJ 0 -1.2007 TD [(energy)-311.7(and)-305.7(carbon)-311.7(source)-307.2(to)-305.9(gluc)-7.6(ose,)-307.2(when)-310.4(the)-302.7(latt)-7.4(er)-306.9(is)-301.4(absen)-8.6(t)-305.1(\(Bhat,)-311.3(2008;)-308.2(Lohr,)-306.8(et)-307.7(al.,)-302.7(1995)-8.7(\).)-304.7(The)-305.5(entire)]TJ T* [(pathwa)-9.1(y,)-388.1(which)-393.6(lea)-8.6(ds)-389.7(to)-391.2(the)-388.1(consum)-11.1(ption)-390.6(of)-390.5(galact)-9.8(ose)-392.2(compri)-8.9(ses)-387.7(two)-395.9(main)-392.4(subsys)-8.1(tems:)-391.4(\(i\))-390.3(a)-395.2(metaboli)-10.1(c)]TJ T* [(pathwa)-9.1(y,)-257.2(from)-255.2(galact)-9.8(ose)-255.7(cel)-8.6(lular)-257.8(intern)-8.2(alization)-262.3(to)-254.7(the)-257.2(produc)-8.3(tion)-259(of)-253.9(gluc)-7.6(ose,)-256(and)-260.2(\(ii\))-257.2(a)-258.6(regulatory)-265.4(pathway,)]TJ T* [(which)-296.8(produc)-8.3(es)-294.7(all)-294.1(the)-297.1(protei)-8.2(ns)-292.9(that)-294.9(act)-8.6(ivate)-297.4(the)-297.1(transcrip)-9.7(tion)-293.1(of)-293.7(gala)-9.4(ctose)-295.9(metabo)-8.7(lizing)-299.2(enzymes)-299.9(\(Panna)-9.3(la)]TJ T* [(et)-336.1(al.,)-336.9(2010\).)]TJ /F2 1 Tf 0 67.0005 TD [(BISTAB)-11.7(ILITY)-338.2(ANA)-8.4(LYSIS)-342.1(IN)-336.7(THE)-339.6(GAL)-338.8(NETWO)-10.1(RK)-17757.8(149)]TJ ET endstream endobj 88 0 obj <>/ProcSet [/PDF /Text /ImageB /ImageC /ImageI]/XObject<>/Font<>>>/Thumb 91 0 R/MediaBox[0 0 612 792]/Rotate 0>> endobj 92 0 obj <>/ProcSet[/PDF/Text/ImageC]/XObject<>/Font<>>> endobj 89 0 obj <>stream /GS1 gs BT /F1 1 Tf 9.9626 0 0 9.9626 84.0755 715.4644 Tm 0 0 0 rg 0 Tc 0 Tw [(The)-419.3(regulat)-10.7(ion)-414.8(path)-7.6(way)-417.7(\(Fig)-7(.)-415.8(1)0(\))-418.9(i)0(s)-415.2(made)-419.9(up)-416.9(of)-418.9(the)-422.3(following)-425.1(autoregu)-8.7(lated)-416.9(factor)-9.2(s:)-415.2(a)-418(transcr)-11.1(iption)-7.2(al)]TJ -1.0015 -1.195 TD [(act)-8.6(ivator)-321.2(p)-6.5(rotein)-321.2(Gal4p,)-331.3(a)-321.2(repressor)-326(prot)-7.8(ein)-319.8(Gal80p,)-326.4(and)-322.7(a)-321.2(sign)-7(al)-319.1(transduc)-9.9(er)-324(protei)-8.2(n)-319.4(Gal3p)-325.3(\(Timso)-8.2(n)-319.4(e)0(t)-324.7(al.,)]TJ 0 -1.2007 TD [(20)-7.2(02\).)-260.7(Gal4p)-262.7(activa)-9.8(tes)-258.4(transcr)-11.1(iption)-263.2(of)-259.6(genes)]TJ /F6 1 Tf 18.3236 0 TD (GAL1)Tj /F1 1 Tf 2.39 0 TD (,)Tj /F6 1 Tf .5065 0 TD (GAL2)Tj /F1 1 Tf 2.39 0 TD (,)Tj /F6 1 Tf .5065 0 TD (GAL7)Tj /F1 1 Tf 2.39 0 TD [(,)-262.2(and)]TJ /F6 1 Tf 2.2193 0 TD (GAL10)Tj /F1 1 Tf 2.8908 0 TD [(,)-256.5(but)-261.1(is)-261.6(unable)-261.3(to)-260.4(activa)-9.8(te)-262.2(the)]TJ -31.6167 -1.2007 TD [(tra)-8.8(nscriptio)-8.7(n)-234.1(i)0(n)-237.6(the)-240.2(absen)-8.6(ce)-238.4(of)-242.5(galactose.)-248.7(The)-237.2(protei)-8.2(n)-234.1(encode)-9.9(d)-239.8(b)0(y)-234.8(gene)]TJ /F6 1 Tf 28.3845 0 TD (GAL2)Tj /F1 1 Tf 2.6233 0 TD 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(GAL)Tj /F1 1 Tf 2.2193 0 TD [(genes)-344.3(\(Klein)-336.5(et)-336.1(al.,)-336.9(1998\).)]TJ -30.2054 -1.2007 TD [(The)-265.7(persistenc)-11.5(e)-264.3(o)0(f)-259.6(cel)-8.6(lular)-263.5(memor)-8.9(y)-256.8(exhi)-7.6(bited)-267.2(by)-257.6(the)-268.6(GAL)-266(regulatory)-271.1(networ)-9.3(k)-256.8(i)0(s)-261.6(a)-264.3(system)-9.3(-level)-266(prope)-7.6(rty,)]TJ -1.0015 -1.2007 TD [(resu)-8(lting)-404.8(from)-397.5(the)-405.2(interact)-10.3(ions)-399.7(of)-401.8(several)-409.3(species)-10.1(,)-398.7(forming)-402.5(multipl)-8.5(e)-400.9(nested)-404.7(loops.)-400.8(Two)-404.4(coupl)-8.4(ed)-401.7(positive)]TJ T* [(feed)-8.6(back)-308.2(loops)-309.4(include)-316(the)-308.4(galact)-9.8(ose)-306.9(permea)-9.7(se)-306.1(Gal2p)-313.9(and)-305.7(the)-308.4(sign)-7(aling)-307(prot)-7.8(ein)-308.4(Gal3p,)-308.6(resp)-8(ectively,)-316(and)-305.7(a)]TJ T* [(negat)-10.1(ive)-359.7(feed)-8.6(back)-359.4(loop)-364.3(involves)-367.4(the)-359.7(inhibi)-7.2(tor)-359.8(Gal80p.)-366.2(In)-356.3(Ange)-8.8(li)-359.9(et)-358.9(al.)-359.3(\(2004\))-8.5(,)-358.9(i)0(t)-359.9(has)-363.8(been)-359.4(note)-7.6(d)-359.3(that)-363.2(the)]TJ T* [(exis)-8.8(tence)-359.1(of)-350.6(a)-355.4(positive-)-8.7(feedback)-362.3(loop,)-359(or)-350.6(a)-355.4(mutually)-361.1(inhibitor)-8.5(y,)-348.3(dou)-8(ble-negative-)-12.2(feed)-8.6(back)-353.7(loop,)-359(is)-352.6(a)-349.7(nec-)]TJ T* [(essa)-9(ry)-396.2(condi)-8.4(tion)-401.2(for)-398.9(the)-399.5(occurren)-9.7(ce)-397.7(of)-401.8(multistabi)-10.9(lity.)-398.7(Hist)-8(ory-depen)-8.7(dent)-400.2(exper)-9.4(iments)-403.6(on)-394.2(gala)-9.4(ctose)-404(regu-)]TJ 0 -1.195 TD [(latory)-440.7(gene)-439.1(activity)-436.1(reve)-8.6(aled)-436.2(the)-433.6(capab)-9.2(ility)-436(of)-436(this)-430.9(molecu)-8.7(lar)-435.6(circui)-10(try)-433.8(to)-431.1(toggle)-438.7(betwee)-10.9(n)-433.2(two)-435.8(discrete,)]TJ 0 -1.2007 TD [(alter)-9.2(native)-247(stable)-248.2(steady)-245.4(states,)-244.1(based)-247.6(on)-240.5(the)-245.8(galacto)-10.5(se)-237.8(conce)-9.2(ntration.)-246.1(Ex)-7(posing)-241.8(two)-242.3(cel)-8.6(l)-236.8(cultur)-8.2(es,)-243.9(one)-243.1(grown)]TJ T* [(in)-243.3(the)-240.1(absen)-8.6(ce)-244.1(and)-243.1(the)-240.2(othe)-7.6(r)-236.1(i)0(n)-243.3(the)-240.1(pres)-8(ence)-241.7(\(2%)-7(\))-241.7(o)0(f)-236.8(gala)-9.4(ctose,)-245(to)-237.6(extrem)-10.7(e)-241.6(\(i.e.,)-243.3(either)-243.3(high)-244.8(or)-242.5(low\))-245(galactose)]TJ T* [(conce)-9.2(ntrations)-8.7(,)-484.1(they)-485.6(reac)-10.4(h)-478.8(ste)-8(ady)-482.1(sta)-8(tes,)-486.4(independe)-9.3(ntly)-486.6(of)-481.5(the)-490.5(past)-486.8(history)-486.3(\(abs)-8(ence)-486.4(of)-487.2(memory)-9.7(\).)-481.1(For)]TJ T* [(int)-7.8(ermediate)-360.8(conce)-9.2(ntrations)-8.7(,)-353.2(instea)-9.2(d,)-354(the)-359.7(two)-356.1(cultures)-359.8(show)-361(signica)-9.9(ntly)-355.7(different)-363.3(expressi)-11.1(on)-354.3(of)-350.6(the)]TJ /F6 1 Tf 41.3134 0 TD (GAL)Tj /F1 1 Tf -41.3134 -1.2007 TD [(genes)-253.3(\(persisten)-11.7(t)-236.8(memo)-11.9(ry\).)-239.9(Signa)-7.6(l)-242.5(transduc)-9.9(er)-244.3(Gal3p)-245.6(was)-248.2(iden)-7.6(tied)-243.7(as)-243.5(the)-245.8(mos)-7(t)-242.5(responsi)-9.3(ble)-245.8(in)-243.3(the)-245.8(generation)]TJ T* [(of)-282.3(two)-282.1(stable)-282.3(expre)-9.4(ssion)-282.1(states)-283.5(depend)-8.2(ing)-278.2(on)-280.4(the)-280(previous)-287(galact)-9.8(ose)-278.4(consum)-11.1(ption)-282.5(states.)-283.9(The)-282.7(other)-283.5(positive)]TJ T* [(feed)-8.6(back)-427.7(loop)-432.6(mediated)-435.9(by)-422.6(the)-427.9(Gal2p)-433.4(is)-426.6(only)-426.9(able)-430.5(to)-431.1(increase)-434.6(the)-427.9(difference)-438.9(among)-430.2(the)-427.9(two)-430.1(levels)-430.3(of)]TJ 0 -1.195 TD [(expre)-9.4(ssion.)-310.9(A)-306.3(highe)-8.4(r)-304.3(leve)-9.4(l)-305.1(o)0(f)-310.8(inhibitor)-310.1(Gal80p)-314.7(resu)-8(lts)-304.9(in)-311.6(destabili)-11.3(zation)-309.6(of)-310.8(persistent)-314.1(memor)-8.9(y)-308.1(\(Acar)-311.2(et)-313.4(al.,)]TJ 0 -1.2007 TD [(20)-7.2(05\).)]TJ /F2 1 Tf 10.959 0 0 10.959 135.3259 368.7873 Tm [(3.)-501.9(MATHEMA)5.9(TICAL)-333.8(MODEL)-329.5(OF)-332.8(THE)-333.9(GAL)-333.7(REGULATOR)6.8(Y)]TJ 7.139 -1.0915 TD [(NETWORK)-329.5(IN)]TJ /F3 1 Tf 7.0924 0 TD [(S.)-336.1(CEREVISI)]TJ /F1 1 Tf 9.9626 0 0 9.9626 84.0755 332.9007 Tm .0122 Tc [(To)-489.3(ev)5.7(aluate)-491.1(the)-485.4(dynamics)-490.5(of)-485.6(th)5.7(e)-491.1(G)1.8(AL)-489.1(regu)5.7(lato)5.7(ry)-489.3(p)5.7(a)]TJ 23.0923 0 TD [(thway)-489.3(f)3.8(ro)5.7(m)-492.9(e)4(xtern)5.7(a)-1.7(l)-486.4(g)0(alactose)-485.4(uptake)-485.4(to)-483.6(its)]TJ -24.0938 -1.195 TD .0126 Tc [(downstr)4.2(eam)-492.5(elemen)6.1(ts)5(,)-494.2(s)-.7(ev)6.1(er)4.2(al)-497.4(mod)6.1(e)-1.3(ls)-495.8(hav)6.1(e)-496.4(alre)]TJ 20.7819 0 TD .012 Tc [(ady)-495.2(b)5.5(een)-495.2(p)5.5(r)-2.1(opo)5.5(sed)-495.2(i)2.8(n)-495.2(t)2.8(he)-497(literatu)5.5(r)-2.1(e,)-494.8(in)5.5(cluding)-495.2(both)]TJ ET q 288.933 0 0 223.994 216.057 70.356 cm /Im1 Do Q BT /F2 1 Tf 8.9663 0 0 8.9663 74.0976 239.5275 Tm 0 Tc [(FIG.)-271.5(1.)]TJ /F1 1 Tf 4.053 0 TD [(Schematic)-274.7(diagram)-270.8(of)-273.5(the)]TJ -4.053 -1.2267 TD [(GAL)-599.3(regulatory)-601.2(network)-597(in)]TJ /F6 1 Tf 12.6269 0 TD (Sac-)Tj -12.6269 -1.2203 TD [(charomyces)-1091.7(cerevisi)]TJ /F1 1 Tf 9.6614 0 TD [(.)-1090.5(External)]TJ -9.6614 -1.2203 TD [(galactose)-621.5(is)-611.2(internalized)-623.2(into)-613.1(the)]TJ 0 -1.2266 TD [(cell,)-557.6(then)-554.6(it)-557.2(shuttles)-556.7(between)-554.9(the)]TJ 0 -1.2203 TD [(cytoplasm)-689.8(and)-677.5(the)-687.8(nucleus.)-679.8(The)]TJ T* [(signal)-539.8(transducer)-537.6(Gal3p)-538.4(in)-534.2(galac-)]TJ 0 -1.2266 TD [(tose)-473.6(bound-stage)-468.9(is)-472.1(highlighted)-468.4(to)]TJ 0 -1.2203 TD [(differentiate)-324.4(it)-323.2(from)-322.9(unbound)-319.1(form.)]TJ T* [(The)-538.2(pointed)-531.8(arrows)-540.3(indicate)-533.9(acti-)]TJ T* [(vation,)-592.2(whereas)-592.6(the)-586.7(blunt)-587.3(arrows)]TJ 0 -1.2267 TD [(indicate)-337.9(inhibition.)]TJ /F2 1 Tf 9.9626 0 0 9.9626 74.0976 737.4045 Tm [(15)-7.2(0)]TJ 33.5629 0 TD [(COSENTI)-9.5(NO)-339(ET)-335.3(AL.)]TJ ET endstream endobj 90 0 obj <>stream Adobed       Z  s!1AQa"q2B#R3b$r%C4Scs5D'6Tdt& EFVU(eufv7GWgw8HXhx)9IYiy*:JZjzm!1AQa"q2#BRbr3$4CS%cs5DT &6E'dtU7()󄔤euFVfvGWgw8HXhx9IYiy*:JZjz ?N*UثWb]v*Uت֤|Mo\{&;Cs{CFs +B9/[=<4Y w 뇀#.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ.'qqKIx/<|Rw _ǂ*rbi"x$`ySǀ/U?I\x/<|RW 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[(to)-489.9(ascertain)-489.9(whether)-486.2(t)2.4(hey)-489.9(c)3.4(an)-489.9(repr)]TJ 15.0856 0 TD .0118 Tc [(oduce)-491.5(t)2.6(he)-491.5(persistent)-486.8(me)]TJ 10.3853 0 TD .0122 Tc [(mo)5.7(ry)-489.3(behav)5.7(i)-2.7(o)5.7(r)-1.9(;)-486.4(h)0(owever,)-489(b)5.7(oth)-489.3(numerical)]TJ -25.4709 -1.2007 TD [(simulations)-388(an)5.8(d)-392.5(t)3.1(he)4.1(ore)4.1(t)-2.6(ic)4.1(al)-389.6(an)5.8(alysis)-388(pe)4.1(rf)3.9(ormed)-386.8(o).1(n)-386.8(s)-1(u)5.8(c)-1.6(h)-386.8(m)-3.4(o)5.8(d).2(els)-388(h).1(av)5.8(e)-394.3(p)5.8(rov)5.8(i)-2.6(d)5.8(e)-1.6(d)-386.8(a)-394.3(n)5.8(e)-1.6(ga)4.1(tive)-388.6(an)5.8(swer)-388.8(\()3.9(s)-1(ee)]TJ T* .0105 Tc (Appendix\).)Tj 1.0015 -1.2007 TD .0122 Tc [(On)-312.9(the)-309(b).1(as)4.6(is)-314.1(of)-309.2(thes)4.6(e)-314.7().8(nd)5.7(ing)5.7(s)-1.1(,)-312.5(w)1.8(e)-309(h).1(ave)-309(d)0(ev)5.7(is)4.6(ed)-312.9(a)-309(n)0(ov)5.7(el)-310(mathematical)-310(mode)4(l,)-312.5(bas)4.6(e)-1.7(d)-307.2(o).1(n)-312.9(t)3(he)-309(sche)4(matic)]TJ -1.0015 -1.2007 TD .0112 Tc [(diag)4.7(ram)-294.7(o)-1(f)-293.1(i)2(nteractions)-292.4(reported)-291.2(i)-3.7(n)-291.2(F)-.2(igure)-298.6(1)4.7(.)-296.5(T)-.8(h)4.7(e)-298.6(comp)]TJ 22.9386 0 TD .0109 Tc [(lete)-293.3(set)-294.2(o)4.4(f)-293.4(r)-3.2(eactions)-292.7(is)-292.7(reported)-297.2(in)-291.5(A)-5.2(p)-1.2(pendix,)-291.1(and)]TJ -22.9386 -1.2007 TD [(the)-367.3(s)-2.5(tate)-367.3(vari)-4.1(ables)-366.7(\()-3.3(conc)]TJ 10.2714 0 TD .0122 Tc [(e)4(n).1(tra)4(t)-2.7(ion)5.7(s)-371(of)-366.1(e)4(ach)-364.1(spe)4(c)-1.7(ies)4.6(\))-366.1(of)-366.1(th)5.7(e)-371.6(d).1(y)5.7(n).1(amical)-366.9(mode)4(l)-366.9(a)-1.7(r)3.8(e)-371.6(g)5.7(i)-2.7(v)5.7(e)-1.7(n)-369.8(i)3(n)-364.1(T).2(able)-365.9(1.)-369.4(The)]TJ -10.2714 -1.2007 TD .0115 Tc [(main)-256.7(goal)-259.5(o)-.6(f)-253(our)-258.7(work)-256.7(is)-257.9(to)-256.7(achieve)-258.5(a)-258.5(s)3.9(imple)-258.5(m)1.5(odel,)-256.3(d)5(er)]TJ 22.9557 0 TD .0074 Tc [(i)-7.5(v)-4.8(ed)-260.8(b)-4.7(y)-260.8(a)-6.5(p)-4.7(pl)-7.5(yi)-7.5(ng)-266.5(mas)-5.9(s)-5.9(-)-1(a)-6.5(c)-.8(t)-7.5(i)]TJ 11.0567 0 TD .0111 Tc [(on)-257.1(kinetics,)-256.7(w).7(hich)-257.1(can)]TJ -34.0124 -1.195 TD .0126 Tc [(be)-468(c)4.4(h).5(ar)4.2(ac)4.4(te)4.4(riz)4.4(e)-1.3(d)-466.2(w)2.2(ith)-466.2(r)4.2(esp)6.1(ect)-463.2(to)-466.2(b)6.1(i)-2.3(s)4.9(t)3.4(ability)-466.2(by)-466.2(me)]TJ 21.7094 0 TD .0119 Tc [(a)3.7(n)-.2(s)-468.1(o)-.2(f)-463.2(a)-468.7(th)5.4(eor)3.5(e)-2(tical)-463.9(ana)3.7(l)2.7(ysis)-468.1(tool,)-466.5(n)-.3(amely)-466.9(CRNT.)]TJ -21.7094 -1.2007 TD .0122 Tc [(The)4(r)-1.9(e)4(f)-1.9(or)3.8(e,)-318.2(the)-320.4(m)-3.5(o)5.7(d).1(el)-321.4(d)5.7(o).1(es)-319.8(not)-321.4(a)4(im)-322.1(to)-318.6(ac)4(hieve)-320.4(a)-320.4(d)0(eta)4(i)-2.7(led)-318.6(d).1(e)4(s)-1.1(cr)3.8(iption)-318.6(of)-320.6(the)-320.4(b).1(ioch)5.7(emic)4(al)-321.4(r)3.8(e)-1.7(a)4(c)-1.7(tion,)-318.2(whic)4(h)]TJ T* .0105 Tc 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[(ill)-5.2(ustrat)-5.2(ed)-338.2(in)-332.5(t)-5.2(h)3.2(e)-334.3(f)-4.4(ollowi)-5.2(ng.)]TJ 1.0015 -1.2007 TD 0 Tc [(Note)-353(that,)-357.9(in)-351.4(order)-356.7(to)-351.4(focus)-355.9(ou)-7.2(r)-349.9(study)-354.9(on)-354.3(the)-354(bistable)-360.6(behavior)-8.7(,)-347.5(the)-359.7(following)-356.8(simpl)-8.4(ifying)-353.5(assumpt)-10.1(ions)]TJ -1.0015 -1.2007 TD [(have)-308.2(been)-302.5(mad)-7.6(e:)-302(\(i\))-304.9(the)]TJ /F6 1 Tf 9.9528 0 TD (GAL)Tj /F1 1 Tf 2.1852 0 TD [(g)-6.5(ene)-301.8(inhibi)-7.2(tion)-304.5(mechani)-11.3(sms,)-304.5(which)-308.2(are)-303.7(act)-8.6(ivated)-303.9(in)-305.9(the)-302.7(pres)-8(ence)-304.3(o)-6.5(f)-298.6(gluc)-7.6(ose,)]TJ -12.1379 -1.195 TD [(are)-337.9(neglect)-10.5(ed,)-333.7(sinc)-8.8(e)-332.6(w)0(e)-337.3(always)-346.1(assume)-338.4(a)-338.3(zero)-338.7(conce)-9.2(ntration)-342.5(of)-333.6(gluc)-7.6(ose;)-338.8(\(ii\))-336.9(the)-336.9(galact)-9.8(ose)-335.3(upta)-7.6(ke)-333.4(into)-338.6(the)]TJ 0 -1.2007 TD [(cell)-256.8(occur)-9.4(s)-252.3(only)-256.2(through)-260.5(the)-251.5(p)-6.5(rotein)-258.6(Gal2)-256.2(\(i.e.,)-260.3(we)-251.9(negl)-7.6(ect)-253.3(the)-257.2(intri)-8.4(nsic)-253.5(Gal2-)-8.6(indipend)-7.7(ent)-257.2(transpor)-10.1(t\);)-254.5(\(iii\))-255.1(the)]TJ T* [(nucleopl)-9.5(asmic)-418.9(shuttling)-417.4(is)-415.2(not)-414.8(mode)-8.4(led,)-411.2(and)-419.5(the)-416.6(cytopla)-8.7(sm)-410.3(and)-419.5(nucleus)-416.9(are)-417.6(treat)-9.2(ed)-413(as)-414.2(a)-412.3(sing)-7(le)-415.8(cellular)]TJ T* [(compartm)-10.1(ent;)-289.2(\(iv\))-282.9(binding/)-8.7(unbin)-6.6(ding)-284.7(of)-282.3(Gal4)-290.4(to/from)-291.5(DNA)-287.2(is)-284.3(negl)-7.6(ected;)-288.6(\(v\))-285.1(no)-286.1(dimeriza)-11.1(tion)-281.7(of)-288(protein)-8.9(s)-280.8(i)0(s)]TJ T* [(modele)-8.7(d;)-334.3(and)-334.1(\(vi)-7(\))-332.8(only)-335.9(one)-334.1(bindin)-10.1(g)-330.8(site)-335.9(for)-336.3(Gal4)-341.6(is)-335.5(modele)-8.7(d)-330.8(for)-336.3(each)-338.5(species)-10.2(.)]TJ 1.0015 -1.2007 TD 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407.9621 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 353.707 409.4361 Tm ()Tj /F6 1 Tf .9389 0 TD (G)Tj 6.9738 0 0 6.9738 370.2046 407.9621 Tm (e)Tj /F8 1 Tf 9.9626 0 0 9.9626 526.5637 409.4361 Tm (\()Tj /F1 1 Tf .3244 0 TD (1)Tj /F8 1 Tf .5008 0 TD (\))Tj /F1 1 Tf -42.8783 -1.9006 TD [(For)-299.4(each)-298.6(intern)-8.2(alized)-300(molecu)-8.7(le,)]TJ /F6 1 Tf 13.1224 0 TD (G)Tj 7.4718 0 0 6.641 245.4802 388.8566 Tm (i)Tj /F1 1 Tf 9.9626 0 0 9.9626 247.5779 390.5007 Tm [(,)-296.3(a)-298.5(new)-298.2(molecu)-8.7(le)-296.3(of)-299.4(externa)-9.7(l)-293.7(galact)-9.8(ose,)]TJ /F6 1 Tf 16.2067 0 TD (G)Tj 7.4718 0 0 6.641 416.2393 388.8566 Tm (e)Tj /F1 1 Tf 9.9626 0 0 9.9626 419.5841 390.5007 Tm [(,)-296.3(i)0(s)-295.7(added.)-303.7(This)-297(is)-301.4(a)-292.8(tec)-8.6(hnical)]TJ -31.3151 -1.2007 TD [(assumpt)-10.1(ion,)-267.2(which)-274.1(is)-267.2(requi)-10.3(red)-267.8(to)-271.7(model)-273.6(a)-264.3(med)-7.6(ium)-270.3(that)-272.1(is)-267.3(kept)-275.1(at)-267.8(constant)-278.2(galactose)-276.8(conce)-9.2(ntration,)-274.6(as)-266.3(in)-271.8(the)]TJ T* [(experiment)-12.6(s)-343.4(descr)-10.6(ibed)-349(in)-345.7(Acar)-348.3(et)-347.5(al.)-347.9(\(2005\))-8.5(.)-341.8(The)-351(transcrip)-9.7(tion)-350(and)-345.5(transl)-9.4(ation)-346.9(of)]TJ /F6 1 Tf 33.449 0 TD (Gal2)Tj /F1 1 Tf 2.0031 0 TD (,)Tj /F6 1 Tf .5975 0 TD (Gal3,)Tj /F1 1 Tf 2.6006 0 TD (and)Tj /F6 1 Tf 1.7925 0 TD (Gal80)Tj /F1 1 Tf 2.5038 0 TD (,)Tj -42.9466 -1.2007 TD [(promot)-7.1(ed)-333.4(by)-337.3(Gal4p,)-337(is)-335.5(mode)-8.4(led)-336.9(as)]TJ /F6 1 Tf 15.9108 -1.9177 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 273.2598 334.0345 Tm (4)Tj /F7 1 Tf 9.9626 0 0 9.9626 280.0062 335.5085 Tm (!)Tj /F6 1 Tf 1.2804 0 TD (G)Tj 6.9738 0 0 6.9738 299.9621 334.0345 Tm (y)Tj /F7 1 Tf 9.9626 0 0 9.9626 305.2346 335.5085 Tm ()Tj /F6 1 Tf .9389 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 321.7889 334.0345 Tm (4)Tj 9.9626 0 0 9.9626 325.7574 335.5085 Tm ()Tj /F6 1 Tf .8365 0 TD (y)Tj /F7 1 Tf .6146 0 TD ()Tj /F1 1 Tf .9389 0 TD [(2)-168.5(3)-168.5(80)]TJ /F8 1 Tf 17.7659 0 TD (\()Tj /F1 1 Tf .3244 0 TD (2)Tj /F8 1 Tf .5008 0 TD (\))Tj /F1 1 Tf -41.8768 -1.9405 TD [(Activation)-344.8(of)-333.6(Gal3p)-336.7(by)-337.3(intern)-8.2(alized)-339.8(galactose)-345.1(is)-335.5(describ)-9.2(ed)-333.4(as)]TJ /F6 1 Tf 17.4871 -1.9177 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 298.9417 295.5967 Tm (3)Tj /F7 1 Tf 9.9626 0 0 9.9626 304.611 297.0708 Tm ()Tj /F6 1 Tf .9389 0 TD (G)Tj 6.9738 0 0 6.9738 321.1653 295.5967 Tm (i)Tj /F7 1 Tf 9.9626 0 0 9.9626 326.381 297.0708 Tm (!)Tj /F6 1 Tf 1.2804 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 346.2802 295.5967 Tm (3)Tj /F6 1 Tf .504 0 TD (a)Tj /F8 1 Tf 9.9626 0 0 9.9626 526.5637 297.0708 Tm (\()Tj /F1 1 Tf .3244 0 TD (3)Tj /F8 1 Tf .5008 0 TD (\))Tj /F1 1 Tf -41.8768 -1.9006 TD [(The)-333.9(two)-333.3(step)-8.8(s)-332(o)0(f)-327.9(inac)-9.4(tivation)-337.6(of)-333.6(the)-336.9(inhibitor)-338.6(and)-334.1(subsequ)-9.5(ent)-331.2(releas)-10.2(e)-332.6(o)0(f)-333.6(Gal4p)-336.7(are)-337.9(modeled)-339.6(as)-334.6(a)-332.6(single)]TJ -1.0015 -1.2007 TD (reaction:)Tj ET 197.235 194.627 251.093 .45357 re f 197.235 70.242 251.093 .45355 re f 197.235 176.258 251.093 .51024 re f BT /F4 1 Tf 8.9663 0 0 8.9663 206.7023 200.8062 Tm (Table)Tj /F1 1 Tf 3.0034 0 TD (1.)Tj /F4 1 Tf 1.7451 0 TD [(Description)-336.8(of)-335.1(the)-333.5(State)-336.2(Variables)-330.1(of)-335.1(System)]TJ /F6 1 Tf -5.8044 -2.0423 TD [(State)-336.8(Variable)-10895.6(Description)]TJ 0 -2.0486 TD (G)Tj 6.7246 0 0 5.9768 203.6976 162.6519 Tm (3)Tj /F1 1 Tf 8.9663 0 0 8.9663 288.907 164.126 Tm [(Gal3p)-336.1(protein)-332.1(concentration)]TJ /F6 1 Tf -10.2241 -1.2203 TD (G)Tj 6.7246 0 0 5.9768 203.6976 151.6535 Tm (i)Tj /F1 1 Tf 8.9663 0 0 8.9663 288.907 153.1842 Tm [(Internalized)-337.2(galactose)-337(concentration)]TJ /F6 1 Tf -10.2241 -1.2266 TD (G)Tj 6.7246 0 0 5.9768 203.6976 140.7118 Tm (3a)Tj /F1 1 Tf 8.9663 0 0 8.9663 288.907 142.1858 Tm [(Active)-335.7(Gal3p)-336.1(protein)-332.1(concentration)]TJ /F6 1 Tf -10.2241 -1.2203 TD (G)Tj 6.7246 0 0 5.9768 203.6976 129.7701 Tm (4)Tj /F1 1 Tf 8.9663 0 0 8.9663 288.907 131.244 Tm [(Gal4p)-336.1(protein)-332.1(concentration)]TJ /F6 1 Tf -10.2241 -1.2203 TD (G)Tj 6.7246 0 0 5.9768 203.6976 118.7716 Tm (80)Tj /F1 1 Tf 8.9663 0 0 8.9663 288.907 120.3023 Tm [(Gal80p)-335.6(protein)-332.1(concentration)]TJ /F6 1 Tf -10.2241 -1.2266 TD (G)Tj 6.7246 0 0 5.9768 203.6976 107.8299 Tm (4,80)Tj /F1 1 Tf 8.9663 0 0 8.9663 288.907 109.3039 Tm [(Gal4p:Gal80p)-340.1(complex)-331.4(concentration)]TJ /F6 1 Tf -10.2241 -1.2203 TD (G)Tj 6.7246 0 0 5.9768 203.6976 96.8882 Tm (3a,80)Tj /F1 1 Tf 8.9663 0 0 8.9663 288.907 98.3622 Tm [(Active)-335.7(Gal3:Gal80p)-340.6(complex)-331.4(concentration)]TJ /F6 1 Tf -10.2241 -1.2203 TD (G)Tj 6.7246 0 0 5.9768 203.6976 85.8897 Tm (ex)Tj /F1 1 Tf 8.9663 0 0 8.9663 288.907 87.4205 Tm [(Extracellular)-340.6(galactose)-337(concentration)]TJ /F6 1 Tf -10.2241 -1.2266 TD (G)Tj 6.7246 0 0 5.9768 203.6976 74.948 Tm (2)Tj /F1 1 Tf 8.9663 0 0 8.9663 288.907 76.422 Tm [(Gal2p)-336.1(protein)-332.1(concentration)]TJ /F2 1 Tf 9.9626 0 0 9.9626 107.6031 737.4045 Tm [(BISTAB)-11.7(ILITY)-338.2(ANA)-8.4(LYSIS)-342.1(IN)-336.7(THE)-339.6(GAL)-338.8(NETWO)-10.1(RK)-17757.8(151)]TJ ET endstream endobj 100 0 obj <>/XObject<>/ProcSet [/PDF /Text /ImageB /ImageC /ImageI]/Font<>>>/Thumb 107 0 R/MediaBox[0 0 612 792]/Rotate 0>> endobj 108 0 obj <>/ProcSet[/PDF/Text]/Font<>>> endobj 101 0 obj <>stream /GS1 gs BT /F6 1 Tf 9.9626 0 0 9.9626 235.3889 712.0061 Tm 0 0 0 rg 0 Tc 0 Tw (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 242.5889 710.5321 Tm (480)Tj /F7 1 Tf 9.9626 0 0 9.9626 257.5558 712.0061 Tm ()Tj /F6 1 Tf .9389 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 274.0535 710.5321 Tm (3)Tj /F6 1 Tf .504 0 TD (a)Tj /F7 1 Tf 9.9626 0 0 9.9626 284.3149 712.0061 Tm (!)Tj /F6 1 Tf 1.2804 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 304.2708 710.5321 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F1 1 Tf .504 0 TD (80)Tj /F7 1 Tf 9.9626 0 0 9.9626 322.696 712.0061 Tm ()Tj /F6 1 Tf .9389 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 339.2503 710.5321 Tm (4)Tj /F8 1 Tf 9.9626 0 0 9.9626 493.0582 712.0061 Tm (\()Tj /F1 1 Tf .3244 0 TD (4)Tj /F8 1 Tf .5008 0 TD (\))Tj /F1 1 Tf -41.8768 -1.9006 TD [(Finall)-8.2(y,)-251.5(each)-258.8(species)-260.5(is)-250.2(subject)-260.3(to)-249(degra)-9.4(dation,)-257(which)-257(is)-255.9(modeled)-254.2(b)-6.5(y)-251.1(rst-order)-259.5(kinetics)-258.2(\(i.e.,)-254.7(each)-258.8(species)]TJ -1.0015 -1.2007 TD [(is)-335.5(transf)-8.6(ormed)-341.2(into)-332.9(a)-338.3(null)-332.9(produc)-8.3(t\):)]TJ /F6 1 Tf 14.454 0 TD (G)Tj 6.9738 0 0 6.9738 225.2409 679.6345 Tm (x)Tj /F7 1 Tf 9.9626 0 0 9.9626 231.6472 681.1085 Tm .2804 Tc (!;)Tj /F1 1 Tf 1.7811 0 TD 0 Tc (.)Tj -16.5936 -1.2007 TD [(Assum)-8(ing)-318(mas)-8.8(s)-314.9(action)-326.7(kinetics)-326.4(for)-319.2(each)-321.4(reaction)-326.2(rate,)-324.7(we)-320.2(obtain)-319.2(a)-321.2(set)-321(of)-316.5(nonlinea)-9.5(r)-321.4(ordinary)-321.9(differ)-9.4(ential)]TJ -1.0015 -1.2007 TD [(equat)-10.1(ions)-263.1(\(ODEs)-9(\),)-259.2(contain)-8.7(ing)-261.1(constant)-10.7(,)-256.5(lin)-7.8(ear,)-264.3(and)-260.2(quadr)-7.6(atic)-262.5(terms)-265.4(in)-260.4(the)-262.9(sta)-8(te)-262.2(variables.)-271.7(The)-260(mode)-8.4(l,)-260(which)]TJ 0 -1.195 TD [(descr)-10.6(ibes)-373(the)-376.7(concentr)-10.5(ation)-375.3(changes)-376.1(over)-376.7(time)-378.1(of)-373.4(the)-371(consid)-10.3(ered)-372.8(species)-10.2(,)-370.3(can)-375.7(be)-373.2(conven)-8.2(iently)-378.8(written)-374.1(in)]TJ 0 -1.2007 TD [(matri)-10.9(x)-330.8(form)-340.6(as)]TJ /F9 1 Tf 16.2067 -1.9177 TD (_)Tj /F6 1 Tf -.1309 -.0057 TD (x)Tj /F8 1 Tf .4439 0 TD (\()Tj /F6 1 Tf .3244 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F7 1 Tf .4894 0 TD ()Tj /F6 1 Tf .9389 0 TD (Ax)Tj /F8 1 Tf 1.0698 0 TD (\()Tj /F6 1 Tf .3187 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F7 1 Tf .4951 0 TD ()Tj /F6 1 Tf .9389 0 TD (B)Tj /F8 1 Tf .6146 0 TD (\()Tj /F6 1 Tf .3244 0 TD (x)Tj /F8 1 Tf .4496 0 TD (\))Tj /F7 1 Tf .4894 0 TD ()Tj /F6 1 Tf .9389 0 TD (Nu)Tj /F8 1 Tf 1.1666 0 TD (\()Tj /F6 1 Tf .3244 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F1 1 Tf .3244 0 TD ()Tj /F8 1 Tf 15.4214 0 TD (\()Tj /F1 1 Tf .3244 0 TD (5)Tj /F8 1 Tf .5008 0 TD (\))Tj /F1 1 Tf -42.8783 -1.9006 TD [(whe)-8(re)]TJ /F6 1 Tf 8.7009 -2.0657 TD (x)Tj /F8 1 Tf .4496 0 TD (\()Tj /F6 1 Tf .3187 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F7 1 Tf .4951 0 TD ()Tj /F8 1 Tf .9389 0 TD ([)Tj /F6 1 Tf .3187 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 196.1007 573.1085 Tm (3)Tj /F8 1 Tf 9.9626 0 0 9.9626 200.0692 574.6392 Tm (\()Tj /F6 1 Tf .3244 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F6 1 Tf .6601 0 TD (G)Tj 6.9738 0 0 6.9738 220.0251 573.1085 Tm (i)Tj /F8 1 Tf 9.9626 0 0 9.9626 222.5196 574.6392 Tm (\()Tj /F6 1 Tf .3244 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F6 1 Tf .6544 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 242.4755 573.1085 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F8 1 Tf 9.9626 0 0 9.9626 249.959 574.6392 Tm (\()Tj /F6 1 Tf .3244 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F6 1 Tf .6544 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 269.9149 573.1085 Tm (4)Tj /F8 1 Tf 9.9626 0 0 9.9626 273.8834 574.6392 Tm (\()Tj /F6 1 Tf .3244 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F6 1 Tf .6544 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 293.8393 573.1085 Tm (80)Tj /F8 1 Tf 9.9626 0 0 9.9626 301.3228 574.6392 Tm (\()Tj /F6 1 Tf .3244 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F6 1 Tf .6544 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 321.2787 573.1085 Tm (480)Tj /F8 1 Tf 9.9626 0 0 9.9626 334.6015 574.6392 Tm (\()Tj /F6 1 Tf .3187 0 TD (t)Tj /F8 1 Tf .3073 0 TD (\))Tj /F6 1 Tf .6544 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 354.5574 573.1085 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F1 1 Tf .504 0 TD (80)Tj /F8 1 Tf 9.9626 0 0 9.9626 371.3385 574.6392 Tm (\()Tj /F6 1 Tf .3244 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\))Tj /F6 1 Tf .6544 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 391.2944 573.1085 Tm (2)Tj /F8 1 Tf 9.9626 0 0 9.9626 395.2629 574.6392 Tm (\()Tj /F6 1 Tf .3244 0 TD (t)Tj /F8 1 Tf .3016 0 TD (\)])Tj /F6 1 Tf 6.9738 0 0 6.9738 407.9621 579.0613 Tm (T)Tj /F1 1 Tf 9.9626 0 0 9.9626 412.8944 574.6392 Tm ()Tj /F8 1 Tf 8.0464 0 TD (\()Tj /F1 1 Tf .3244 0 TD (6)Tj /F8 1 Tf .5008 0 TD (\))Tj /F1 1 Tf -42.8783 -1.9006 TD (for)Tj /F6 1 Tf 1.5023 0 TD (t)Tj /F10 1 Tf .6203 0 TD ()Tj /F1 1 Tf .882 0 TD [(0)-336.5(and)]TJ /F6 1 Tf 14.693 -3.4826 TD (B)Tj /F8 1 Tf .6146 0 TD (\()Tj /F6 1 Tf .3244 0 TD (x)Tj /F8 1 Tf .4496 0 TD (\))Tj /F7 1 Tf .4894 0 TD ()Tj /F6 1 Tf 1.9803 1.4454 TD (x)Tj 6.9738 0 0 6.9738 293.329 538.9794 Tm (T)Tj 9.9626 0 0 9.9626 298.2613 535.4077 Tm (B)Tj /F1 1 Tf 6.9738 0 0 6.9738 304.3842 533.877 Tm (1)Tj /F9 1 Tf 9.9626 0 0 9.9626 297.2408 521.9148 Tm (.)Tj 0 -.404 TD (.)Tj 0 .8024 TD (.)Tj /F6 1 Tf -.8422 -1.9974 TD (x)Tj 6.9738 0 0 6.9738 293.329 509.5558 Tm (T)Tj 9.9626 0 0 9.9626 298.2613 505.9841 Tm (B)Tj 6.9738 0 0 6.9738 304.3842 504.4534 Tm (n)Tj /F11 1 Tf 9.9626 0 0 9.9626 278.4755 543.7416 Tm (0)Tj 0 -1.7527 TD (B)Tj 0 -.5918 TD (@)Tj 3.1696 2.3445 TD (1)Tj 0 -1.7527 TD (C)Tj 0 -.5918 TD (A)Tj /F6 1 Tf .8763 .0626 TD (x)Tj /F1 1 Tf .4496 0 TD ()Tj /F8 1 Tf 17.0432 0 TD (\()Tj /F1 1 Tf .3244 0 TD (7)Tj /F8 1 Tf .5008 0 TD (\))Tj /F1 1 Tf -42.8783 -3.4655 TD [(wi)-8.2(th)-334.3(A,)]TJ /F6 1 Tf 3.09 0 TD (B)Tj 6.9738 0 0 6.9738 111.0047 485.0078 Tm (i)Tj /F7 1 Tf 9.9626 0 0 9.9626 116.2771 486.4818 Tm (2)Tj /F12 1 Tf .9333 0 TD (R)Tj /F6 1 Tf 6.9738 0 0 6.9738 132.7748 490.5637 Tm (n)Tj /F10 1 Tf .6666 0 TD ()Tj /F6 1 Tf .7154 0 TD (n)Tj /F1 1 Tf 9.9626 0 0 9.9626 146.4377 486.4818 Tm ()Tj /F6 1 Tf .5008 0 TD (i)Tj /F7 1 Tf .4439 0 TD ()Tj /F1 1 Tf .9389 0 TD (1)Tj /F9 1 Tf 1.1723 0 TD .1682 Tc (...)Tj /F1 1 Tf 1.3145 0 TD 0 Tc (8)Tj /F13 1 Tf .5008 0 TD (:)Tj /F1 1 Tf -11.1307 -1.195 TD .0122 Tc [(Look)5.7(ing)-250.3(a)-1.7(t)-253.1(t)3(he)-252.1(to)5.7(pologies)-251.5(of)-252.3(previous)-251.5(mo)5.7(dels)-251.5(\(Fig.)-255.6(2)]TJ 21.6412 0 TD .0131 Tc [(\),)-249(we)-251.2(ca)4.9(n)-255.1(s)-.2(p)6.6(o)1(t)-252.2(s)-.2(ome)-251.2(b)1(as)5.5(ic)-251.2(diff)4.7(er)4.7(enc)4.9(e)-.8(s)-250.6(w)-3(ith)-255.1(r)4.7(e)-.8(s)5.5(p)1(ec)4.9(t)]TJ -22.6427 -1.2007 TD .0134 Tc [(to)-249.1(th)6.9(e)-256.6(o)1.3(n)6.9(e)-256.6(pr)5(opo)6.9(sed)-249.1(i)4.2(n)-254.8(t)4.2(hi)4.2(s)-256(a)5.2(rt)4.2(i)4.2(c)-.5(l)4.2(e)-.5(.)-248.7(I)-.7(n)-249.1(p)1.3(ar)5(ti)4.2(c)5.2(u)1.3(la)5.2(r,)-248.7(i)4.2(n)-254.8(Smid)6.9(ta)5.2(s)-251.1(de)5.2(ta)5.2(il)4.2(ed)-249.1(model)-251.9(\()5(Fi)4.2(g.)-254.4(2)6.9(a)-.5(\),)-248.7(Gal)4.2(3)1.2(p,)-248.8(Ga)5.2(l8)6.9(0p,)-254.4(a)5.2(nd)]TJ T* .0117 Tc [(galacto)5.2(s)-1.6(e)-412(b)-.4(ind)-415.9(t)2.5(og)5.2(ether,)-415.5(d)5.2(ecreasing)-410.2(th)5.2(e)-417.6(b)-.4(ind)5.2(i)-3.2(n)5.2(g)-415.9(of)]TJ 21.8517 0 TD .0107 Tc [(Gal80p)-411.2(to)-416.9(Gal4p.)-416.5(Subsequently,)-410.8(t)-4.2(he)-418.6(decreasing)-411.2(of)]TJ -21.8517 -1.2007 TD .011 Tc [(G)-5.1(a)2.8(l)-3.9(8)4.5(0p)-240.2(in)-240.2(the)-241.9(n)4.5(ucleus)-241.3(act)-3.9(i)1.8(vates)-241.3(G).6(al)]TJ 14.5109 0 TD .0113 Tc [(4p)4.8(,)-239.5(t)2.1(riggering)-239.9(transcrip)4.8(t)-3.6(ion)-234.2(o)-.8(f)]TJ /F6 1 Tf 12.3713 0 TD (GAL3)Tj /F1 1 Tf 2.6689 0 TD .0102 Tc (and)Tj /F6 1 Tf 1.7185 0 TD .0115 Tc (GAL80)Tj /F1 1 Tf 3.181 0 TD .0118 Tc [(g)5.3(e)-2.1(nes)-240.5(a)3.6(nd)-239.4(closin)5.3(g)-239.4(t)2.6(he)]TJ -34.4506 -1.2007 TD .0124 Tc [(fe)4.2(edba)4.2(ck)-489.1(lo)5.9(ops,)-488.8(as)-490.3(newly)-494.8(p)5.9(rod)5.9(u).3(ce)4.2(d)-494.8(G)2(al3p)-489.1(and)-489.1(G)-3.7(a)4.2(l)3.2(80p)-494.8(s)4.8(witch)-489.1(t)3.2(he)-496.6(e)4.2(quilib)5.9(r)-1.7(ium)-492.7(b).3(a)4.2(c)-1.5(k)-489.1(t)-2.5(o)5.9(w)-3.7(a)4.2(r)-1.7(ds)-490.3(Gal4p)]TJ T* .0112 Tc [(i)-3.7(n)4.7(activation)-251.3(\()2.8(Gal4/80p\).)-250.9(I)2.8(n)-251.3(t)2(he)-253.1(Smidtas)-253.3(reduced)-245.6(m)-4.5(o)4.7(de)]TJ 22.4378 0 TD .0096 Tc [(l)-250(\()1.2(Fi)-5.3(g.)-252.5(2b\),)-252.5(an)-252.9(over)-4.5(si)-5.3(mplic)-4.3(a)1.4(t)-5.3(i).4(on)-252.9(of)-254.9(thes)-3.7(e)-249(f)-4.5(ee)-4.3(dbac)-4.3(k)]TJ -22.4378 -1.2007 TD .0107 Tc [(l)-4.2(o)4.2(ops)-298.5(i)1.5(s)-298.5(a)-3.2(dopted,)-297(p)-1.4(reserving)-297.4(t)-4.2(he)-299.1(qual)-4.2(itative)-299.1(dynam)]TJ 20.9583 0 TD .0116 Tc [(ics)-297.6(o)-.5(f)-298.4(t)2.4(he)-298.2(d)5.1(e)-2.3(tailed)-296.5(m)1.6(odel.)-296.1(H)1.2(owever,)-296.1(t)2.4(he)-298.2(two)-296.5(f)-2.5(eedback)]TJ -20.9583 -1.2007 TD .0108 Tc [(l)-4.1(o)4.3(ops)-332.6(i)-4.1(nvolving)-337.1(GAL3)-337.1(\()2.4(positive\))-333.4(and)-331.4(G).4(A)-5.3(L)-1.2(80)-337.1(\(negat)-4.1(iv)]TJ 22.6882 0 TD .0111 Tc 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[(Ga)4.7(l8)6.4(0p)-249.6(as)-245.1(re)4.7(acta)4.7(n).8(ts)5.3(,)-249.3(w)2.5(hich)-249.6(in)-249.6(the)-251.4(o)6.4(th)6.4(er)-245.9(mod)6.4(e)-1(ls)-250.8(a)4.7(r)-1.2(e)-251.4(i)3.7(nv)]TJ 22.2728 0 TD .0113 Tc [(olved)-251.2(i)2.1(n)-251.2(b)-.8(o)4.8(u)-.9(nd)-251.2(stage)-253(o)4.8(nly)4.8(.)-250.9(Structurally,)-245.2(our)-253.2(system)]TJ -22.2728 -1.2007 TD .0106 Tc [(i)-4.3(s)-270.2(more)-270.8(adherent)-266.1(t)-4.3(o)-269(the)-270.8(c)2.4(ircui)-4.3(t)-266.1(depi)-4.3(ct)-4.3(ed)-269(i)-4.3(n)-269(Acar)-271(et)-271.8(al)]TJ 21.533 0 TD .0109 Tc [(.)-268.3(\()2.5(2005\),)-268.3(consisting)-268.7(o)-1.3(f)-270.7(t)1.7(wo)]TJ 11.1535 0 TD .0102 Tc [(positive)-271.2(a)-3.7(nd)-275.1(one)-271.2(n)-2(egative)]TJ -32.6865 -1.2007 TD .0111 Tc [(feedback)-325.4(loops,)-325(w)-5(hich)-325.4(affect)-328.2(the)-327.2(u)4.6(pt)]TJ 15.2621 0 TD [(ake)-327.1(o)-1(f)-321.6(g)-1(alactose,)-324.9(t)2(he)-327.1(nucleoplasmi)]TJ 14.4255 0 TD .0106 Tc [(c)-327.7(s)-2.7(huttling)-331.6(of)-327.9(regulator)-322.2(p)-1.5(roteins,)]TJ -29.6876 -1.2007 TD .0113 Tc [(and)-450.4(t)-3.6(he)-452.2(transcription)-456.1(o)-.9(f)]TJ /F6 1 Tf 10.6299 0 TD .0112 Tc (GAL)Tj /F1 1 Tf 2.373 0 TD .0099 Tc [(gene)-4(s.)-457.1(Ther)-4.2(ef)-4.2(ore)-4(,)-451.4(we)-459.3(ca)-4(n)-457.5(c)1.7(onc)-4(l).7(ude)-459.3(t)]TJ 15.8027 0 TD .0112 Tc [(hat)-459(t)2(he)-452.3(presence)-452.3(of)-452.5(these)-458(d)-.9(istinct)]TJ -28.8056 -1.2007 TD .0114 Tc [(positive)-252.9(a)-2.5(nd)-251.1(negative)-252.9(f)3(eedback)-251.1(loops)-252.3(i)]TJ 15.7287 0 TD .011 Tc [(s)-252.7(t)1.8(he)-253.3(key)-251.5(i)-3.9(ngredient)-248.6(t)-3.9(hat)-254.3(d)-1.1(etermine)]TJ 14.2548 0 TD .0107 Tc [(s)-253(t)1.5(he)-253.6(occurrence)-253.6(of)-253.8(bistabi)-4.2(lit)-4.2(y)-251.8(i)1.5(n)]TJ -29.9835 -1.2007 TD [(the)-338.9(GAL)-336.9(system.)]TJ 1.0015 -1.2007 TD 0 Tc 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[(be)-395.1(p)5(e)-2.4(rformed)-393.3(t)2.3(hro)5(ugh)-393.3(a)-395.1(p)-.7(owerful)-396.1(a)3.3(nalysis)-394.5(t)2.3(ool,)]TJ 20.5372 0 TD .012 Tc [(CRNT.)-398.1(T)12(h)-6.4(e)-394.6(a)-1.9(dv)5.5(antag)5.5(e)-394.6(of)-394.8(CRNT)-392.6(i)2.8(s)-394(t)2.8(hat)-389.9(i)-2.9(t)-389.9(p)-.1(rovides)-394(a)]TJ -20.5372 -1.2007 TD .0123 Tc [(str)3.9(a)-1.6(ightf)3.9(o).2(rwar)3.9(d)-347(w)1.9(ay)-341.3(to)-341.3(ana)4.1(l)-2.6(y)5.8(z)-1.6(e)-343.1(t)-2.6(h)5.8(e)-348.8(type)-343.1(of)-343.3(dyna)4.1(mica)4.1(l)-344(b).2(eha)4.1(v).2(ior)-343.2(t)-2.6(h)5.8(a)-1.6(t)-344(o).2(ne)-343.1(can)-341.3(exp)5.8(ect)-344(f)3.9(r)-1.8(o)5.8(m)-350.5(a)4.1(n)-347(ar)3.9(bitra)4.1(r)-1.8(ily)]TJ T* .0133 Tc [(co)6.8(mp)6.8(le)5.1(x)-272(n)1.2(e)5.1(t)-1.6(wor)4.9(k)-272(of)-268.3(che)5.1(m)3.3(ic)5.1(al)-269.1(re)5.1(ac)5.1(tions)5.7(,)-271.6(j)4.1(ust)-269.1(b)1.2(y)-266.3(i)-1.6(n)6.8(s)0(pe)]TJ 22.0395 0 TD .0122 Tc [(ctio)5.7(n)-273.1(o).1(f)-269.4(t)3(he)-274.9(topo)5.7(log)5.7(y)-273.1(of)-269.4(the)-274.9(a)3.9(sso)5.7(ciated)-273.1(g)5.7(r)-1.9(aph.)-272.7(More)]TJ -22.0395 -1.195 TD .0126 Tc [(sp)6.1(ecic)4.4(ally)6.1(,)-431.6(CRNT)-431.8(e)4.4(nable)4.4(s)-433.2(u)6.1(s)-433.2(to)-426.3(es)4.9(ta)4.4(blis)5(h)-432(w)2.2(he)4.4(th)6.1(er)]TJ 22.3809 0 TD .0093 Tc [(a)-4.6(n)-429.6(a)-4.6(s)1.7(s)-4(i).1(gned)-435.3(re)-4.6(ac)-4.6(ti)-5.6(on)-435.3(ne)-4.6(tw)-6.8(or)-4.8(k)-429.6(c)-4.6(an)-435.3(exhibit)-432.4(one)-431.4(or)]TJ -22.3809 -1.2007 TD .0096 Tc [(mult)-5.3(iple)-271.8(equil)-5.3(i).4(brium)-273.5(p)-2.5(oi)-5.3(nt)-5.3(s,)-269.6(w)-6.5(ithout)-267.1(e)-4.3(ven)-270(t)-5.3(he)-271.8(need)]TJ 21.1859 0 TD .0115 Tc [(to)-268.1(write)-269.9(down)-268.1(t)2.3(he)-269.9(kinetic)-269.9(equ)5(a)-2.4(tions)-269.3(an)5(d)-273.8(a)3.3(ssig)5(n)-273.8(v)5(alues)]TJ -21.1859 -1.2007 TD .0103 Tc [(to)-423(the)-419(k)-1.8(inetic)-424.7(parame)]TJ 9.1618 0 TD .0087 Tc [(te)-5.2(rs)-4.6(.)-418.5(T)-3.3(h)-3.4(i)-.5(s)-425.7(p)-3.4(oi)-6.2(nt)-427.3(mak)-3.4(e)-5.2(s)-420(CRN)]TJ 12.0753 0 TD .0103 Tc [(T)-422.8(e)2.1(specially)-423(suit)-4.6(able)-424.7(for)-419.2(d)]TJ 11.3526 0 TD .0079 Tc [(e)-6(a)-.3(l)-7(i)-1.3(n)-4.3(g)-419.7(wi)-7(th)-425.4(bi)-7(om)-7.8(ol)-7(ec)-6(u)-4.2(l)-1.3(a)-6(r)]TJ -32.5898 -1.2007 TD .0119 Tc [(sy)5.4(stems,)-494.9(whose)-497.1(p)-.2(arameters)-496.5(a)3.7(re)-497.1(o)5.4(f)-2.2(ten)-495.3(u)-.2(n)5.4(known)-495.3(o)-.2(r)-491.6(s)-1.4(ub)]TJ 23.5475 0 TD .011 Tc [(ject)-499(to)-496.2(sign)4.5(icant)-493.3(vari)]TJ 9.6796 0 TD .0115 Tc [(ability)-495.7(amon)5(g)-495.7(d)-.6(ifferent)]TJ -33.2271 -1.2007 TD .0108 Tc (individuals.)Tj 1.0015 -1.2007 TD 0 Tc [(For)-362(the)-371(sake)-366.3(of)-367.7(brevit)-8.2(y,)-365.3(it)-365.6(is)-364(not)-369.2(possibl)-7.6(e)-361.1(t)0(o)-368.5(provide)-370.4(here)-367.1(the)-371(nuts)-365.5(and)-368.3(bolts)-369(of)-367.7(CRNT,)-369.4(which)-370.8(is)-364(quit)-8.6(e)]TJ -1.0015 -1.2007 TD [(involved)-275.2(and)-271.5(require)-9.9(s)-269.4(a)-270(considerabl)-11.1(e)-270(number)-273.6(of)-271(prelimi)-9.5(nary)-268.6(deni)-7.6(tions.)-272.7(The)-271.3(intere)-10(sted)-270.6(reader)-275.7(is)-267.3(ref)-8(erred)-273.1(to)]TJ T* [(the)-376.7(origina)-8.9(l)-373.4(artic)-9.2(les)-377.9(\(Feinber)-9.9(g,)-371(1)-6.5(987,)-372.6(1)-6.5(988\))-374.9(for)-376.1(a)-378.1(detailed)-383.9(treat)-9.2(ment)-375.3(or)-379.1(to)-374.2(Cos)-8.2(entino)-376.1(et)-381.7(al.)-376.3(\(2011\))-378.4(for)-376.1(an)]TJ ET q 288.933 0 0 423.779 107.603 70.242 cm /Im2 Do Q BT /F2 1 Tf 8.9663 0 0 8.9663 408.8692 476.3337 Tm [(FIG.)-486.5(2.)]TJ /F1 1 Tf 4.268 0 TD [(Graphical)-491(representation)]TJ -4.268 -1.2203 TD [(of)-469.5(the)-479.2(GAL)-472.8(core)-479.7(regulatory)-474.8(path-)]TJ T* [(way.)-418.2(Boxes,)-419.8(species;)-424.8(circles,)-423.3(reac-)]TJ 0 -1.2266 TD [(tions.)-781.1(Arrows)-787.8(point)-783.3(to)-780.8(reaction)]TJ 0 -1.2203 TD [(products;)-313.4(reagents)-314.7(are)-309.5(connected)-319.1(to)]TJ T* [(the)-504.5(reaction)-507.2(by)-504.9(lines)-508.7(\(without)-507.3(ar-)]TJ 0 -1.2266 TD [(rows\).)-357.9(A)-356.9(dashed)-363.5(line)-356.3(indicates)-363.9(that)]TJ 0 -1.2203 TD [(the)-314.8(linked)-323.7(species)-320.1(is)-320.4(both)-318.2(a)-324.4(reagent)]TJ T* [(and)-253.9(a)-254.8(product.)]TJ /F2 1 Tf 5.9751 0 TD (\(a\))Tj /F1 1 Tf 1.4227 0 TD [(Smidtas)-252.7(detailed)]TJ -7.3978 -1.2266 TD [(model.)-573.2(Gal,)-580.3(galactose;)-580.8(bound)-579.3(re-)]TJ 0 -1.2203 TD [(ceptor)-647.1(\(BR\),)-654.2(the)-649.9(Gal3/80p/galac-)]TJ T* [(tose)-1219.7(complex;)-1220.2(Gal4_80p)-1213.5(and)]TJ T* [(Gal3_80p)-397.9(denote,)-400.9(respectively,)-402(the)]TJ 0 -1.2266 TD [(Gal4p)-487.8(and)-487.8(Gal80p)-487.4(and)-487.8(the)-485.5(Gal3p)]TJ 0 -1.2203 TD [(and)-234.9(Gal80p)-240.8(proteins)-238(in)-237(bound)-237.8(stage.)]TJ /F2 1 Tf T* (\(b\))Tj /F1 1 Tf 1.7767 0 TD [(Smidtas)-562.6(reduced)-556.5(model.)-560.5(Re-)]TJ -1.7767 -1.2266 TD [(ceptor)-324.7(\(R\),)-333.9(Gal4/3/80p)-329(complex,)-328(in)]TJ 0 -1.2203 TD [(which)-677.5(Gal4p)-683.9(is)-674.5(sequestered)-683.5(and)]TJ T* [(cannot)-543.4(promote)-546.6(its)-545.2(transcriptional)]TJ 0 -1.2266 TD [(activity,)-582.7(whereas)-592.6(G4)-584(denotes)-588.3(the)]TJ 0 -1.2203 TD [(transcriptional)-1120.3(activator)-1124(protein)]TJ T* (Gal4p.)Tj /F2 1 Tf 3.3891 0 TD (\(c\))Tj /F1 1 Tf 1.802 0 TD [(Kulkarnis)-698.2(model,)-693.3(in)]TJ -5.1911 -1.2267 TD [(which)-462.6(G4a)-465.8(indicates)-465(the)-466.5(activated)]TJ 0 -1.2203 TD [(Gal4p)-430.9(protein)-433.3(and)-430.9(G4)-432.3(denotes)-430.3(the)]TJ T* [(Gal4/3/80p)-1138.4(complex.)]TJ /F2 1 Tf 10.4897 0 TD (\(d\))Tj /F1 1 Tf 2.3584 0 TD (Our)Tj -12.8481 -1.2203 TD [(model.)-510(It)-511.5(is)-510.1(possible)-508.4(to)-508.9(note)-516.6(that)]TJ 0 -1.2266 TD [(more)-348(state)-353.1(variables)-356.1(and)-355(molecular)]TJ 0 -1.2203 TD [(reactions)-387.7(are)-385.3(considered.)-386.2(Here,)-391.1(Gx)]TJ T* (\(where)Tj /F6 1 Tf 3.0919 0 TD (x)Tj /F10 1 Tf .7777 0 TD (=)Tj /F1 1 Tf .8852 0 TD [(2,)-312.2(3,)-305.9(4,)-312.2(and)-310.8(80\))-311(denotes)]TJ -4.7548 -1.2266 TD [(the)-270.5(Gal)]TJ /F6 1 Tf 2.9402 0 TD (x)Tj /F1 1 Tf .4489 0 TD [(p)-271.4(protein;)-272.4(Gex)-269.8(and)-266.5(Gic,)-270.4(the)]TJ -3.3891 -1.2203 TD [(extra-)-434.8(and)-430.9(the)-428.6(intra-cellular)-441.7(galac-)]TJ T* [(tose;)-571.9(G3att,)-570.6(the)-567.7(signaling)-574(protein)]TJ 0 -1.2267 TD [(Gal3p)-645.9(in)-648(active)-651(form;)-648.9(G80G3att)]TJ 0 -1.2203 TD [(and)-336.1(G4G80,)-342.2(the)-333.8(complexes)-346.7(formed)]TJ T* [(by)-606(Gal80p)-607.5(and)-608(Gal3p)-614.3(\(in)-605.8(active)]TJ 0 -1.2266 TD [(form\),)-517.7(and)-513.1(by)-517.5(Gal4p)-519.5(and)-513.1(Gal80p)]TJ 0 -1.2203 TD [(proteins,)-329.4(respectively.)]TJ /F2 1 Tf 9.9626 0 0 9.9626 107.6031 737.4045 Tm [(BISTAB)-11.7(ILITY)-338.2(ANA)-8.4(LYSIS)-342.1(IN)-336.7(THE)-339.6(GAL)-338.8(NETWO)-10.1(RK)-17757.8(153)]TJ ET endstream endobj 111 0 obj <>stream Adobed       sZ  s!1AQa"q2B#R3b$r%C4Scs5D'6Tdt& EFVU(eufv7GWgw8HXhx)9IYiy*:JZjzm!1AQa"q2#BRbr3$4CS%cs5DT &6E'dtU7()󄔤euFVfvGWgw8HXhx9IYiy*:JZjz ?w?j*~_$h}ȖHo-4o82mZ՛]'uIr}3ca= ((E% @$h*{qJ\ {{$SG_c0QQyԱj֞ܢG.Fw!s݊v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثV?<{POO,a ^9_itѰڄXmA-v!BYf{Ph8@nȼYơe~%R:Wp-ub6m?7*bk%V5m {S-\lFljQ3ONYYKt0Laczṷ^^)Pp2-_5Hl$H %^'r„S1v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UتTմ*KF;[X^Y(U7yFeҫ_0^)Zgs‹OqR=j_}R">XYT=/*>\Ե[!k zJ#1 |I~٤Vϑ,Xj 9}yϨUAj HGG3@4 w"bNtJ5w1)* 4qJ+v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*UثWb];vm>^EVn& Gՙ}7'>ǛM/>nXhooj|:,M5Y鷓8y&݄fׄ;OO Nj\zDH*EA9s]v*UثWb]v*2bF䝀ֿ3[Ѽf*Ҳojz_ƣyӬ_lEq}q+WbGc%GHbS,;,?S,UثV?y>c%Ə;h,]ZFP@c? 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z>[LjSuo.jL)GSC_"zrEא`StGl;e?=U{_f`O7g?=ok,,{3X7g1_{_fCxǽ+?=]7g?= ,{3XKX"ž!܈?.oRB5-G>Na9Ìe9s]v*UثWb]v*UثT6a ֓U+_(K%M[:VJ)H.@.#ն<;~9QyW =]7g1_;ok,cc޾+?= ,{3X7g?=ok,cc޾+?=ok,cc޾+?=]"lE9|Qw9]-ڒ#}N&$@u#C,X̍OVfov*UثWb]v*UثWb]v*UثWb]v*UثV?T^Rο8o\ϯ/.8ok ~^\3^_j.?y}qOخ_kg>?+.?ˏ?by}qOخ_kg>?+.?ˏ?by}qOخ_kg>?+ژiQ+_wM/+zdu?f\[]v*UثWb]v*UثWb/~J.?x\>|^gq75? bTgWmˏ?by}qOخ_kg>?+.?ˏ?by}qOخ_kg>?+.?ˏ?by}qOخ_j7K8~G\Bw_3y}U8?f|DdR endstream endobj 114 0 obj <>/ProcSet [/PDF /Text /ImageB /ImageC /ImageI]/XObject<>/Font<>>>/Thumb 118 0 R/MediaBox[0 0 612 792]/Rotate 0>> endobj 119 0 obj <>/ProcSet[/PDF/Text/ImageC]/XObject<>/Font<>>> endobj 115 0 obj <>stream /GS1 gs BT /F1 1 Tf 9.9626 0 0 9.9626 74.0976 237.2598 Tm 0 0 0 rg 0 Tc 0 Tw [(int)-7.8(roductory)-379.6(overv)-7.6(iew)-375(of)-373.4(the)-376.7(main)-381(results.)-381.6(Despite)-378.1(the)-376.7(com)-7.6(plexity)-379.6(of)-373.4(its)-378.9(theoretical)-381.4(founda)-8.3(tions,)-380.8(a)-372.4(great)]TJ 0 -1.2007 TD [(advant)-10.9(age)-335.9(of)-339.2(CRNT)-340.6(is)-335.5(that)-340.4(it)-331.4(requi)-10.3(res)-337.3(very)-336.9(little)-338.8(backgr)-10.1(ound)-338.8(for)-336.3(practical)-342.9(appl)-7.6(ication;)-339.4(inde)-7.6(ed,)-333.7(the)-336.9(CRN)-10(T)]TJ 0 -1.195 TD [(anal)-9.4(ysis)-395.2(condi)-8.4(tions)-397.5(have)-399.3(been)-399.3(coded)-400(in)-396.9(the)-399.5(CRNT)-403.2(Toolbo)-7.2(x)-393.4(\(http://)-10.5(www.chbm)-11.4(eng.ohio-)-7.3(state.)-8.8(edu/)]TJ /F14 1 Tf 40.3005 0 TD (*)Tj /F1 1 Tf 1.0015 0 TD (fein-)Tj -41.302 -1.2007 TD [(berg/)-10.3(crnt\),)-268.8(which)-268.4(is)-267.2(freely)-270.9(availa)-9.8(ble.)-269(Using)-267.8(this)-265.8(tool)-8.6(box,)-264.4(it)-268.8(is)-261.6(sufc)-8(ient)-266.4(to)-266.1(ll)-268.8(in)-266.1(the)-268.6(networks)-270.9(reac)-10.4(tions)-266.6(and)]TJ T* 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[(reac)-10.4(tion)-332.9(network,)-334.8(regardl)-9.9(ess)-330.8(of)-327.9(any)-334.1(specic)-338.2(choice)-337.1(of)-327.9(the)-331.2(mode)-8.4(l)-327.9(parame)-9.8(ters)-329.4(and)-334.1(of)-327.9(the)-331.2(com)-7.6(plexity)-334.1(of)-333.6(the)]TJ T* [(networ)-9.3(k.)-513.3(Instead)-9.2(,)-512.5(classi)-10.4(cal)-515.1(methods)-521.1(for)-512.7(the)-519(study)-514.2(of)-515.7(equili)-9(brium)-512.9(point)-9.3(s)-508.4(\()-88.1(Murray,)-519.1(2001\))-517.9(can)-518(provide)]TJ T* [(para)-8.6(metric)-502.9(mul)-8.6(tistability)-503(anal)-9.4(ysis)-497.6(o)-6.5(nly)-500.1(for)-501.3(low-order)-505(system)-9.3(s,)-497.4(since)-506.4(they)-502.7(are)-502.9(based)-503.7(on)-496.6(the)-501.9(anal)-9.4(ytical)]TJ T* [(com)-7.6(putation)-340.5(of)-333.6(the)-336.9(equi)-7.6(librium)-337.8(points.)]TJ ET q 288.933 0 0 428.712 216.057 290.381 cm /Im3 Do Q BT /F2 1 Tf 8.9663 0 0 8.9663 101.0267 501.6188 Tm [(FIG.)-334.8(2.)]TJ /F1 1 Tf 4.1162 0 TD (Continued.)Tj /F2 1 Tf 9.9626 0 0 9.9626 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[(,)-171.1(s)0(u)25.7(c)14.5(h)-171.5(t)13.5(ha)25.1(t)-174.2(e)14.5(ve)25.1(r)14.3(y)-171.5(s)15.1(t)13.5(at)22.4(e)-167.6(t)0(r)22.2(a)14.5(j)13.5(e)0(c)23.4(t)13.5(or)24.9(y)-171.5(s)15.1(t)13.5(a)0(r)23.2(t)13.5(i)13.5(n)16.3(g)-171.5(i)13.5(n)]TJ /F14 1 Tf 16.2636 0 TD (O)Tj /F1 1 Tf .8877 0 TD [(co)25.1(nv)26.9(er)23.2(ge)25.1(s)-172.7(t)13.5(o)]TJ /F6 1 Tf 5.0646 0 TD (x)Tj 7.4718 0 0 6.641 532.2896 626.5699 Tm (e)Tj /F1 1 Tf 9.9626 0 0 9.9626 535.4645 628.214 Tm (.)Tj -41.945 -1.2007 TD [(DAs)-307.2(are)-309.4(of)-305.1(para)-8.6(moun)-6.6(t)-305.1(importanc)-10.1(e)-304.2(i)0(n)-305.9(biolog)-10.1(ical)-308.1(system)-9.3(s;)-307.1(indeed,)-307.2(whe)-8(n)-308.1(a)-304.2(system)-310.9(that)-312(is)-307.1(operating)-313.8(in)-305.9(the)]TJ -1.0015 -1.2007 TD [(neighborh)-7.7(ood)-264.1(of)-265.3(an)-265.1(equi)-7.6(librium)-269.5(point)-265.4(leaves)-270(the)-268.6(boundarie)-9.5(s)-263.7(o)0(f)-259.6(its)-265.1(regi)-9.6(on)-263.3(of)-265.3(attraction,)-271.1(it)-263.1(is)-267.3(usually)-269.9(abruptly)]TJ T* [(led)-450.7(to)-448.2(a)-452.1(new)-451.9(operating)-456.1(condition)-455.1(\(corres)-10.3(pondin)-7.3(g)-444.6(t)0(o)-448.2(anot)-7.6(her)-449.9(equili)-9(brium)-450.3(point)-453.2(or)-447.4(to)-448.2(osci)-8.8(llations\).)-455.7(This)]TJ 0 -1.195 TD [(phenomeno)-8.3(n)-387.7(i)0(s)-381.1(a)0(t)-387.3(the)-388.1(basis)-386.3(of)-384.8(many)-389.6(on-off)-386.1(regulatory)-390.6(mec)-9.4(hanism)-8.2(s)-383.2(o)0(f)-384.8(biological)-392.1(functio)-8.9(ns)-384(and)-385.3(periodic)]TJ 0 -1.2007 TD [(behavior)-8.7(s)-275.1(a)0(t)-279.2(the)-280(molecu)-8.7(lar,)-282.3(cellular)-10.3(,)-273.5(o)0(r)-282.3(population)-285.2(level)-280.4(and)-282.9(is)-278.6(closely)-283.1(interwea)-11.5(ved)-277.2(with)-280(an)-282.2(important)-284.2(iss)-7.4(ue)]TJ T* [(in)-374.2(systems)-375.5(biology,)-375.4(nam)-7.6(ely)-371(the)-376.7(relation)-378.4(betwee)-10.9(n)-370.7(cellular)-380.2(decision)-374.9(mak)-7.6(ing)-374.9(and)-374(biological)-380.7(noise.)-374.1(Cellula)-10.5(r)]TJ T* [(decisi)-9.2(on)-394.2(making)-399.6(is)-392.4(the)-399.5(process)-400.2(by)-394.2(which)-399.2(cel)-8.6(ls)-392.4(can)-398.5(assume)-401(differ)-9.4(ent)-393.8(and)-396.7(herita)-10(ble)-393.8(fates)-400.3(modify)-7.1(ing)-397.7(their)]TJ T* [(genome)-449.8(or)-441.7(the)-439.3(envi)-7.6(ronment)-447.9(in)-442.5(which)-444.8(they)-445.8(reside)-446.6(\(Balazsi)-451.7(et)-438.6(al.,)-445(2011\).)-444.3(Some)-445.8(exam)-10.2(ples)-441.3(of)-441.7(regulat)-10.7(ory)]TJ T* [(molecu)-8.7(lar)-299(switch)-307.2(concern)-302.9(virus,)-300.3(bact)-9.4(eria,)-302(yeast,)-301.9(lower)-304.5(metaz)-9.8(oans,)-302.3(and)-300(mammal)-10.1(s.)-298.2(In)-299.4(lambda)-304.7(phage,)-303.7(a)-298.5(gene)]TJ T* [(regulatory)-316.6(network)-311.7(controls)-306.8(the)-308.4(lysis/)-9.6(lysogeny)-307.7(deci)-9.4(sion)-302.9(in)-305.9(which)-313.9(two)-304.9(repress)-9.6(ors)-307.1(\(CI)-306.9(and)-305.7(Cro\))-307.6(opera)-9.4(te)-307.7(as)-306.1(a)]TJ T* [(mutual)-345.5(toggle)-341.9(switch)-341.4(\(lamb)-8.2(da)-339.1(switch\))-344.1(with)-342.6(bistable)-343.5(dynamic)-9.5(s)-337.7(\(Gardn)-8.6(er)-335.3(et)-341.8(al.,)-336.9(2000)-8.7(\).)-333.2(Anoth)-10.5(er)-335.3(examp)-10.9(le)-336.1(is)]TJ 0 -1.195 TD [(represe)-10.1(nted)-366.1(by)-365.7(the)-371(Nanog-O)-11.3(ct4)-365.3(gene)-370.8(regulat)-10.7(ory)-362.8(networ)-9.3(k,)-365.3(which)-370.8(cont)-7.6(rols)-367.5(embryoni)-10.5(c)-366.8(stem)-365.1(cel)-8.6(l)-362(dif)-7(ferenti-)]TJ 0 -1.2007 TD [(ation.)-461.1(In)-458.8(the)-462.1(latter)-462.3(system)-9.3(,)-455.6(regulat)-10.7(ory)-459.5(interactions)-11.6(,)-455.6(involvi)-7.9(ng)-456.8(posi)-7(tive)-459.9(and)-459.3(negativ)-8.7(e)-457.8(feed)-8.6(back,)-462.2(generat)-9.7(e)]TJ T* [(bistabil)-8.7(ity)-332.2(from)-340.6(noise-induc)-9.3(ed)-339.1(transitions)-344.2(\(Chickar)-9.7(mane)-340.2(et)-336.1(al.,)-331.2(2)-6.5(006\).)]TJ 1.0015 -1.2007 TD [(Typical)-281.7(informat)-9.5(ion)-278.2(that)-277.8(one)-277.2(can)-279(derive)-280.3(from)-283.7(the)-274.3(know)-7(ledge)-283.3(of)-276.6(the)-274.3(DA)-282.5(is)-272.9(the)-280(extent)-281.1(of)-276.7(the)-280(perturb)-8.1(ations)]TJ -1.0015 -1.2007 TD [(that)-255.1(the)-251.5(system)-254(can)-256.2(tolerate)-255(witho)-7.6(ut)-249(changing)-257.1(its)]TJ /F6 1 Tf 19.6495 0 TD [(operati)-8.1(ve)-249.8(condi)-8.4(tion)]TJ /F1 1 Tf 7.8473 0 TD [(.)-245.1(I)0(n)-253.9(other)-255(words,)-256(the)-251.5(DA)-254.1(is)-250.2(an)-248(indicat)-11.5(or)]TJ -27.4967 -1.2007 TD [(of)-418.9(the)-427.9(capabilit)-11.9(y)-416.2(o)0(f)-424.6(the)-422.2(syst)-8.2(em)-422.3(to)-419.7(adapt)-425.6(to)-425.4(changing)-427.8(envi)-7.6(ronmental)-431.2(conditions,)-429(which)-427.7(is)-420.9(reco)-8.6(gnized)-426.3(in)]TJ T* [(biology)-340.9(as)-334.6(an)-333.4(esse)-9(ntial)-338.2(feature)-341.8(for)-336.3(every)-339.4(living)-337.2(organ)-7.6(ism.)]TJ 1.0015 -1.2007 TD [(Unfortunat)-11.4(ely,)-240.5(the)-240.1(exact)-245.2(com)-7.6(putation)-243.8(of)-242.5(the)-240.2(DA)-242.7(for)-239.6(a)-241.6(gener)-9.4(ic)-239.4(nonlinea)-9.5(r)-236.1(syst)-8.2(em)-240.2(is)-238.8(a)-241.6(very)-240.1(dif)-7(cult)-243.6(problem)]TJ -1.0015 -1.195 TD [(to)-288.8(solv)-7(e,)-293.1(especially)-297.4(for)-296.5(systems)-295.8(of)-293.7(nontriv)-7.1(ial)-288.4(dim)-8.6(ension.)-295.2(A)-289.2(mor)-7.8(e)-287.1(aff)-8(ordable)-292.5(probl)-8.6(em)-291.4(is)-290(that)-294.9(of)-293.7(determin)-9.3(ing)]TJ 0 -1.2007 TD [(an)-498.4(estim)-10.2(ate)-498(of)-498.6(\(and)-501.9(possi)-9(bly)-500.1(close)-500.7(to\))-502.1(the)-501.9(actual)-504.8(DA.)-499.2(Sim)-7.8(ilarly)-500.3(to)-499.4(wha)-8(t)-492.9(has)-506(been)-501.7(discusse)-10.3(d)-495.8(for)-501.3(the)]TJ T* [(multistabi)-10.9(lity)-324.3(anal)-9.4(ysis,)-327.2(the)-325.5(probl)-8.6(em)-325.5(of)-327.9(DA)-328.1(estimat)-10.5(ion)-323.7(is)-329.8(greatly)-329.4(simpl)-8.4(ied)-325.5(whe)-8(n)-325.1(dealing)-333.1(with)-325.5(the)-331.2(class)-331.2(of)]TJ T* [(nonlinea)-9.5(r)-332.8(quadratic)-338.4(system)-9.3(s.)-332.4(In)-327.9(partic)-10(ular,)-334.3(below)-336.7(we)-331.6(reca)-10.4(ll)-331.4(the)-331.2(main)-335.5(resu)-8(lt)-331.4(of)-327.9(Am)-9(ato)-331.2(et)-330.4(al.)-336.5(\(2007\),)-333.3(whi)-9(ch)]TJ T* [(allows)-443.8(to)-442.5(easily)-447.3(and)-442.2(efcientl)-10.3(y)-438.9(solve)-442(the)-445(aforement)-11.1(ioned)-440.8(probl)-8.6(em.)-439.7(Since)-447.5(the)-439.3(adopt)-8.4(ed)-441.5(method)-445.1(yields)-439.9(a)]TJ T* [(polytopi)-8.7(c)-332.6(estimat)-10.5(e)-332.6(o)0(f)-333.6(the)-336.9(DA,)-339.8(let)-334(us)-338.5(rst)-338.2(recall)-336.1(the)-336.9(fol)-7(lowing)-338.4(denition)-10.5(:)]TJ /F2 1 Tf 1.0015 -2.4014 TD [(Denition)-342.1(1.)]TJ /F1 1 Tf 6.3108 0 TD [(A)-334.8(polytope)-343.5(\(or)-336.3(box\))]TJ /F15 1 Tf 8.5757 0 TD (P)Tj /F7 1 Tf 1.508 0 TD ()Tj /F12 1 Tf 1.0471 0 TD (R)Tj /F6 1 Tf 6.9738 0 0 6.9738 298.5448 309.4865 Tm (n)Tj /F1 1 Tf 9.9626 0 0 9.9626 305.8582 305.4046 Tm [(can)-335.9(be)-333.4(descr)-10.6(ibed)-337.7(as)-334.6(follows:)]TJ /F15 1 Tf -6.1003 -2.0201 TD (P)Tj /F7 1 Tf 1.3942 0 TD ()Tj /F1 1 Tf .9389 0 TD (conv)Tj /F7 1 Tf 1.9519 0 TD (f)Tj /F6 1 Tf .5008 0 TD (x)Tj /F8 1 Tf 6.9738 0 0 6.9738 297.2408 283.748 Tm (\()Tj /F6 1 Tf .3252 0 TD (i)Tj /F8 1 Tf .2764 0 TD (\))Tj /F1 1 Tf 9.9626 0 0 9.9626 304.2141 285.2787 Tm ()Tj /F6 1 Tf .5008 0 TD (x)Tj /F8 1 Tf 6.9738 0 0 6.9738 313.6818 283.748 Tm (\()Tj /F1 1 Tf .3252 0 TD (2)Tj /F8 1 Tf .4959 0 TD (\))Tj /F1 1 Tf 9.9626 0 0 9.9626 322.1857 285.2787 Tm ()Tj /F9 1 Tf .6658 0 TD .1682 Tc (...)Tj /F1 1 Tf 1.3145 0 TD 0 Tc ()Tj /F6 1 Tf .5008 0 TD (x)Tj /F8 1 Tf 6.9738 0 0 6.9738 351.3826 283.748 Tm (\()Tj /F6 1 Tf .3252 0 TD (p)Tj /F8 1 Tf .4959 0 TD (\))Tj /F7 1 Tf 9.9626 0 0 9.9626 359.8865 285.2787 Tm (g)Tj /F8 1 Tf 16.2807 0 TD (\()Tj /F1 1 Tf .3244 0 TD (8a)Tj /F8 1 Tf .9503 0 TD (\))Tj /F7 1 Tf -28.9137 -1.6104 TD .1689 Tc (f)Tj /F6 1 Tf 1.4397 0 TD 0 Tc (x)Tj /F7 1 Tf .7284 0 TD (2)Tj /F12 1 Tf .9333 0 TD (R)Tj /F6 1 Tf 6.9738 0 0 6.9738 284.8251 273.3165 Tm (n)Tj /F9 1 Tf 9.9626 0 0 9.9626 291.5716 269.2346 Tm (:)Tj /F6 1 Tf .5463 0 TD (a)Tj 6.9738 0 0 6.9738 302.0031 267.7039 Tm (k)Tj .5447 .8048 TD (T)Tj 9.9626 0 0 9.9626 310.7338 269.2346 Tm (x)Tj /F16 1 Tf .4496 0 TD (p)Tj /F1 1 Tf 1.0015 0 TD (1)Tj /F6 1 Tf 1.0015 0 TD (k)Tj /F7 1 Tf .6316 0 TD ()Tj /F1 1 Tf .9389 0 TD [(1)-168.5(2)]TJ /F9 1 Tf 2.1738 0 TD .1682 Tc (...)Tj /F1 1 Tf 1.3145 0 TD 0 Tc ()Tj /F6 1 Tf .5008 0 TD (q)Tj /F7 1 Tf .5008 0 TD (g)Tj /F8 1 Tf 12.6501 0 TD (\()Tj /F1 1 Tf .3187 0 TD .0065 Tc (8b)Tj /F8 1 Tf 1.0072 0 TD 0 Tc (\))Tj /F1 1 Tf -42.8783 -2.0031 TD (where)Tj /F6 1 Tf 2.8054 0 TD (p)Tj /F1 1 Tf .8536 0 TD (and)Tj /F6 1 Tf 1.8039 0 TD (q)Tj /F1 1 Tf .8536 0 TD [(are)-360.7(suitable)-360.6(integer)-10.7(s)-349.1(n)0(u)-7.2(mbers,)]TJ /F6 1 Tf 12.6672 0 TD (x)Tj 7.4718 0 0 6.641 301.1526 247.6346 Tm [(\(i)-8.2(\))]TJ /F1 1 Tf 9.9626 0 0 9.9626 311.8109 249.2787 Tm [(denotes)-360(the)]TJ /F6 1 Tf 5.002 0 TD (i)Tj /F1 1 Tf .2845 0 TD [(th)-357.1(vertex)-360(of)]TJ /F15 1 Tf 5.1898 0 TD (P)Tj /F1 1 Tf 1.2292 0 TD [(,)-353.2(and)-356.9(conv[)]TJ /F17 1 Tf 4.6947 0 TD ($)Tj /F1 1 Tf .4496 0 TD [(])-355.6(indicates)-363.1(the)]TJ -37.3471 -1.2007 TD [(operation)-342.3(of)-333.6(taking)-341.9(the)-336.9(convex)-338.2(hull)-338.6(of)-333.6(the)-336.9(argumen)-8.7(t.)]TJ 1.0015 -1.2007 TD [(Next,)-302.1(we)-308.8(state)-304.3(the)-302.7(probl)-8.5(em)-302.8(that)-306.3(is)-301.4(solved)-306.2(by)-303.1(the)-302.7(propos)-7.7(ed)-304.9(method.)-303.2(Not)-9(e)-298.5(that,)-306.7(for)-302.2(the)-308.4(sake)-303.7(of)-299.4(simpl)-8.4(icity,)]TJ -1.0015 -1.195 TD [(the)-285.7(statemen)-10.3(t)-282.4(o)0(f)-288(the)-285.7(problem)-294.2(refers)-288.4(to)-283.1(the)-285.7(equi)-7.6(librium)-286.6(po)-7.2(int)-281(in)-288.8(the)-285.7(origin.)-285.6(How)-10.2(ever,)-287.8(it)-285.9(is)-284.3(easy)-286.7(to)-283.1(gener)-9.4(alize)]TJ 0 -1.2007 TD [(the)-262.9(denition)-266.5(and)-260.2(the)-257.2(proce)-9.4(dure)-262.9(to)-254.7(equi)-7.6(librium)-263.8(points)-261.7(differ)-9.4(ent)-257.2(than)-263.7(zero)-8.6(,)-256.5(via)-257.2(a)-258.6(change)-266(of)-259.6(sta)-8(te)-256.5(variabl)-10.7(es,)-261(as)]TJ T* [(shown)-339(in)-334.3(Amato)-340.2(et)-336.1(al.)-336.5(\(2007\).)]TJ /F2 1 Tf 1.0015 -2.9989 TD [(Problem)-411.8(2.)]TJ /F1 1 Tf 5.8385 0 TD [(Assum)-8(e)-406.6(that)-403(ever)-8.6(y)-404.8(eigenval)-11.3(ue)-401.7(of)]TJ /F6 1 Tf 14.1865 0 TD (A)Tj /F1 1 Tf 1.0186 0 TD [(in)-402.6(\(5\))-410.3(has)-403.6(stric)-8.6(tly)-406.2(negativ)-8.7(e)-400.9(real)-409.7(part;)-411.4(then,)-406.3(give)-7.6(n)-404.8(a)]TJ -22.0452 -1.2007 TD (polytope)Tj /F15 1 Tf 3.8013 0 TD (P)Tj /F1 1 Tf 1.2292 0 TD [(,)-284.9(with)-285.7(the)-291.4(origin)-285.2(of)-288(the)-285.7(sta)-8(te)-284.9(space)-289.2(lying)-288.2(in)-288.8(the)-285.7(interior)-293.3(of)]TJ /F15 1 Tf 23.3825 0 TD (P)Tj /F1 1 Tf 1.2292 0 TD [(,)-284.9(est)-8(ablish)-286.2(whe)-8(ther)]TJ /F15 1 Tf 7.8587 0 TD (P)Tj /F1 1 Tf 1.5137 0 TD [(belongs)-289.9(to)]TJ -39.0144 -1.2007 TD [(the)-336.9(DA)-333.7(of)-339.2(system)-339.4(\(5\).)]TJ 1.0015 -1.2007 TD [(We)-290.4(can)-290.4(now)-290.8(recall)-296.3(the)-291.4(followi)-8.1(ng)-286.1(sufc)-8(ient)-289.2(condi)-8.4(tions)-289.4(under)-292.1(which)-291.1(Probl)-7.8(em)-291.4(1)-285.3(adm)-7.6(its)-287.8(a)-287.1(solu)-7(tion)-287.4(\(A)-7.4(mato)]TJ -1.0015 -1.2007 TD [(et)-336.1(al.,)-336.9(2007\).)]TJ /F2 1 Tf 1.0015 -2.9989 TD [(Theorem)-319(3.)]TJ /F1 1 Tf 5.9637 0 TD [(The)-311.2(polyto)-10.1(pe)]TJ /F15 1 Tf 5.7019 0 TD (P)Tj /F1 1 Tf 1.5364 0 TD [(dened)-314.7(in)-311.6(\(8\))-313.5(belongs)-312.7(to)-311.6(the)-314.1(DA)-311(of)-310.8(syst)-8.2(em)-308.4(\(5\))-313.5(if)-307.9(ther)-9.6(e)-309.8(exist)-313.9(scalars)]TJ /F18 1 Tf 27.8609 0 TD (c)Tj /F1 1 Tf .4382 0 TD (,)Tj /F6 1 Tf .2504 0 TD (c)Tj /F1 1 Tf -42.7531 -1.2007 TD [(and)-334.1(a)-338.3(symme)-8.1(tric)-336.7(matrix)]TJ /F6 1 Tf 10.1064 0 TD (P)Tj /F1 1 Tf .9503 0 TD [(such)-336.1(that)]TJ /F2 1 Tf -11.0567 66.9948 TD 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6.9738 0 0 6.9738 382.5637 306.5385 Tm (T)Tj /F8 1 Tf 9.9626 0 0 9.9626 390.8408 302.0598 Tm ([)Tj /F18 1 Tf .3244 0 TD (l)Tj /F6 1 Tf .552 0 TD (M)Tj /F8 1 Tf .8763 0 TD (])Tj /F13 1 Tf .3244 0 TD (:)Tj /F1 1 Tf -32.8686 -2.0031 TD [(Note)-370(that)-374.6(the)-371(numerical)-376.1(values)-370.6(provi)-8.6(ded)-368.3(by)-365.7(the)-371(CRN)-10(T)-364.8(algo)-7.6(rithm)-367.7(have)-370.8(been)-376.5(scaled)-372.4(to)-368.5(the)-371(micromolar)]TJ -1.0015 -1.2007 TD [(conce)-9.2(ntrations)-458.3(in)-453.8(order)-453.4(to)-453.8(be)-452.9(consistent)-460(with)-456.4(previous)-8.1(ly)-448.2(publishe)-8.9(d)-450.3(exper)-9.4(imental)-458.9(results)-455.2(and)-453.6(numeri)-8.9(cal)]TJ 0 -1.195 TD [(simul)-8.4(ations.)]TJ 1.0015 -1.2007 TD 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[(of)-327.9(ou)26.9(r)-338.5(m)12.8(od)21.2(e)14.5(l)-339.3(t)13.5(o)-336.5(re)23.2(pl)24.2(i)13.5(c)14.5(at)22.4(e)-338.3(t)13.5(he)-327.7(p)16.3(e)0(r)23.2(s)15.1(i)13.5(s)0(t)23(e)14.5(nt)-328.7(m)12.8(e)14.5(m)12.8(o)0(r)25(y)-342.2(f)14.3(e)14.5(at)22.4(u)16.3(r)0(e)-329.7(e)14.5(vi)24.2(de)25.1(n)16.3(c)0(e)23.4(d)-342.2(b)16.3(y)-342.2(A)12.4(c)14.5(ar)-329.7(e)14.5(t)-339.3(al)22.4(.)-336.1(\()14.3(20)26.9(05)21.2(\))14.3(.)-336.1(T)10.8(h)0(e)-327.7(r)14.3(e)14.5(s)0(u)25.7(l)13.5(ts)-329.8(o)16.3(f)-338.5(th)24.2(e)]TJ ET 104.031 205.795 370.601 .51024 re f 104.031 70.469 370.601 .51022 re f 104.031 187.483 370.601 .51022 re f BT /F4 1 Tf 8.9663 0 0 8.9663 191.9055 211.9747 Tm (Table)Tj /F1 1 Tf 3.0034 0 TD (2.)Tj /F4 1 Tf 1.7451 0 TD [(Kinetic)-336.5(Parameter)-331.2(Values)-335.1(of)-335.1(System)]TJ /F6 1 Tf -14.549 -2.036 TD [(Parameter)-8027.4(Value)-8027.6(Parameter)-7945.2(Value)]TJ 0 -2.0549 TD (k)Tj 6.7246 0 0 5.9768 108 173.8204 Tm (1)Tj /F1 1 Tf 8.9663 0 0 8.9663 176.8818 175.2945 Tm (7.353)Tj /F10 1 Tf 2.5797 0 TD ()Tj /F1 1 Tf .8852 0 TD (10)Tj /F10 1 Tf 6.7246 0 0 5.9768 218.0409 179.3196 Tm (-)Tj /F1 1 Tf .725 0 TD (3)Tj 8.9663 0 0 8.9663 229.2661 175.2945 Tm ([)Tj /F18 1 Tf .3351 0 TD (l)Tj /F1 1 Tf .5501 0 TD (M)Tj /F10 1 Tf 6.7246 0 0 5.9768 246.274 179.3196 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 254.4944 175.2945 Tm (h)Tj /F10 1 Tf 6.7246 0 0 5.9768 260.0503 179.3196 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 268.2708 175.2945 Tm (])Tj /F6 1 Tf 5.8993 0 TD (k)Tj 6.7246 0 0 5.9768 325.1905 173.8204 Tm (11)Tj /F1 1 Tf 8.9663 0 0 8.9663 380.2393 175.2945 Tm (86.79)Tj /F10 1 Tf 2.5797 0 TD ()Tj /F1 1 Tf .8852 0 TD (10)Tj /F10 1 Tf 6.7246 0 0 5.9768 421.3983 179.3196 Tm (-)Tj /F1 1 Tf .725 0 TD (3)Tj 8.9663 0 0 8.9663 432.6235 175.2945 Tm ([)Tj /F18 1 Tf .3288 0 TD (l)Tj /F1 1 Tf .5564 0 TD (M)Tj /F10 1 Tf 6.7246 0 0 5.9768 449.6313 179.3196 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 457.7951 175.2945 Tm (h)Tj /F10 1 Tf 6.7246 0 0 5.9768 463.4077 179.3196 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 471.6282 175.2945 Tm (])Tj /F6 1 Tf -40.9978 -1.2203 TD (k)Tj 6.7246 0 0 5.9768 108 162.8787 Tm (2)Tj /F1 1 Tf 8.9663 0 0 8.9663 206.0787 164.3527 Tm [(7.078)-336.1([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 237.8834 168.3212 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 246.0472 164.3527 Tm (])Tj /F18 1 Tf 8.6497 0 TD (l)Tj /F6 1 Tf 6.7246 0 0 5.9768 328.5353 162.8787 Tm (1)Tj /F1 1 Tf 8.9663 0 0 8.9663 410.4566 164.3527 Tm [(1.0)-330.7([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 433.1904 168.3212 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 441.4109 164.3527 Tm (])Tj /F6 1 Tf -37.6276 -1.2203 TD (k)Tj 6.7246 0 0 5.9768 108 151.9369 Tm (3)Tj /F1 1 Tf 8.9663 0 0 8.9663 201.5999 153.411 Tm [(28.282)-335.6([)]TJ /F18 1 Tf 3.4207 0 TD (l)Tj /F1 1 Tf .5501 0 TD (M)Tj /F10 1 Tf 6.7246 0 0 5.9768 246.274 157.3795 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 254.4944 153.411 Tm (h)Tj /F10 1 Tf 6.7246 0 0 5.9768 260.0503 157.3795 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 268.2708 153.411 Tm (])Tj /F18 1 Tf 6.1712 0 TD (l)Tj /F6 1 Tf 6.7246 0 0 5.9768 328.5353 151.9369 Tm (2)Tj /F1 1 Tf 8.9663 0 0 8.9663 410.4566 153.411 Tm [(1.0)-330.7([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 433.1904 157.3795 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 441.4109 153.411 Tm (])Tj /F6 1 Tf -37.6276 -1.2203 TD (k)Tj 6.7246 0 0 5.9768 108 140.9385 Tm (4)Tj /F1 1 Tf 8.9663 0 0 8.9663 201.5999 142.4692 Tm [(0.1158)-335.6([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 237.8834 146.4377 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 246.0472 142.4692 Tm (])Tj /F18 1 Tf 8.6497 0 TD (l)Tj /F6 1 Tf 6.7246 0 0 5.9768 328.5353 140.9385 Tm (3)Tj /F1 1 Tf 8.9663 0 0 8.9663 410.4566 142.4692 Tm [(1.0)-330.7([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 433.1904 146.4377 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 441.4109 142.4692 Tm (])Tj /F6 1 Tf -37.6276 -1.2266 TD (k)Tj 6.7246 0 0 5.9768 108 129.9968 Tm (5)Tj /F1 1 Tf 8.9663 0 0 8.9663 206.0787 131.4709 Tm [(12.03)-336.1([)]TJ /F18 1 Tf 2.9212 0 TD (l)Tj /F1 1 Tf .5501 0 TD (M)Tj /F10 1 Tf 6.7246 0 0 5.9768 246.274 135.496 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 254.4944 131.4709 Tm (h)Tj /F10 1 Tf 6.7246 0 0 5.9768 260.0503 135.496 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 268.2708 131.4709 Tm (])Tj /F18 1 Tf 6.1712 0 TD (l)Tj /F6 1 Tf 6.7246 0 0 5.9768 328.5353 129.9968 Tm (4)Tj /F1 1 Tf 8.9663 0 0 8.9663 410.4566 131.4709 Tm [(1.0)-330.7([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 433.1904 135.496 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 441.4109 131.4709 Tm (])Tj /F6 1 Tf -37.6276 -1.2203 TD (k)Tj 6.7246 0 0 5.9768 108 119.0551 Tm (6)Tj /F1 1 Tf 8.9663 0 0 8.9663 206.0787 120.5291 Tm [(3.741)-336.1([)]TJ /F18 1 Tf 2.9212 0 TD (l)Tj /F1 1 Tf .5501 0 TD (M)Tj /F10 1 Tf 6.7246 0 0 5.9768 246.274 124.4976 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 254.4944 120.5291 Tm (h)Tj /F10 1 Tf 6.7246 0 0 5.9768 260.0503 124.4976 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 268.2708 120.5291 Tm (])Tj /F18 1 Tf 6.1712 0 TD (l)Tj /F6 1 Tf 6.7246 0 0 5.9768 328.5353 119.0551 Tm (5)Tj /F1 1 Tf 8.9663 0 0 8.9663 410.4566 120.5291 Tm [(1.0)-330.7([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 433.1904 124.4976 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 441.4109 120.5291 Tm (])Tj /F6 1 Tf -37.6276 -1.2203 TD (k)Tj 6.7246 0 0 5.9768 108 108.0567 Tm (7)Tj /F1 1 Tf 8.9663 0 0 8.9663 206.0787 109.5874 Tm [(31.67)-336.1([)]TJ /F18 1 Tf 2.9212 0 TD (l)Tj /F1 1 Tf .5501 0 TD (h)Tj /F10 1 Tf 6.7246 0 0 5.9768 242.8157 113.5559 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 251.0362 109.5874 Tm (])Tj /F18 1 Tf 8.0933 0 TD (l)Tj /F6 1 Tf 6.7246 0 0 5.9768 328.5353 108.0567 Tm (6)Tj /F1 1 Tf 8.9663 0 0 8.9663 410.4566 109.5874 Tm [(1.0)-330.7([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 433.1904 113.5559 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 441.4109 109.5874 Tm (])Tj /F6 1 Tf -37.6276 -1.2266 TD (k)Tj 6.7246 0 0 5.9768 108 97.1149 Tm (8)Tj /F1 1 Tf 8.9663 0 0 8.9663 215.0928 98.589 Tm [(1.0)-330.7([)]TJ /F18 1 Tf 1.9158 0 TD (l)Tj /F1 1 Tf .5501 0 TD (h)Tj /F10 1 Tf 6.7246 0 0 5.9768 242.8157 102.6141 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 251.0362 98.589 Tm (])Tj /F18 1 Tf 8.0933 0 TD (l)Tj /F6 1 Tf 6.7246 0 0 5.9768 328.5353 97.1149 Tm (7)Tj /F1 1 Tf 8.9663 0 0 8.9663 410.4566 98.589 Tm [(1.0)-330.7([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 433.1904 102.6141 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 441.4109 98.589 Tm (])Tj /F6 1 Tf -37.6276 -1.2203 TD (k)Tj 6.7246 0 0 5.9768 108 86.1732 Tm (9)Tj /F1 1 Tf 8.9663 0 0 8.9663 206.0787 87.6472 Tm [(86.79)-336.1([)]TJ /F18 1 Tf 2.9212 0 TD (l)Tj /F1 1 Tf .5501 0 TD (h)Tj /F10 1 Tf 6.7246 0 0 5.9768 242.8157 91.6157 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 251.0362 87.6472 Tm (])Tj /F18 1 Tf 8.0933 0 TD (l)Tj /F6 1 Tf 6.7246 0 0 5.9768 328.5353 86.1732 Tm (8)Tj /F1 1 Tf 8.9663 0 0 8.9663 410.4566 87.6472 Tm [(1.0)-330.7([h)]TJ /F10 1 Tf 6.7246 0 0 5.9768 433.1904 91.6157 Tm (-)Tj /F1 1 Tf .725 0 TD (1)Tj 8.9663 0 0 8.9663 441.4109 87.6472 Tm (])Tj /F6 1 Tf -37.6276 -1.2203 TD (k)Tj 6.7246 0 0 5.9768 108 75.1748 Tm (10)Tj /F1 1 Tf 8.9663 0 0 8.9663 206.0787 76.7055 Tm [(9.639)-336.1([)]TJ /F18 1 Tf 2.9212 0 TD (l)Tj /F1 1 Tf .5501 0 TD (M)Tj /F10 1 Tf 1.2203 0 TD ()Tj /F1 1 Tf .8852 0 TD (h)Tj /F10 1 Tf 6.7246 0 0 5.9768 261.6944 80.674 Tm (-)Tj /F1 1 Tf .7166 0 TD (1)Tj 8.9663 0 0 8.9663 269.8582 76.7055 Tm (])Tj /F2 1 Tf 9.9626 0 0 9.9626 74.0976 737.4045 Tm [(15)-7.2(6)]TJ 33.5629 0 TD [(COSENTI)-9.5(NO)-339(ET)-335.3(AL.)]TJ ET endstream endobj 134 0 obj <>/ProcSet [/PDF /Text /ImageB /ImageC /ImageI]/XObject<>/Font<>>>/Thumb 138 0 R/MediaBox[0 0 612 792]/Rotate 0>> endobj 139 0 obj <>/ProcSet[/PDF/Text/ImageC]/XObject<>/Font<>>> endobj 135 0 obj <>stream /GS1 gs BT /F1 1 Tf 9.9626 0 0 9.9626 107.6031 715.4644 Tm 0 0 0 rg 0 Tc 0 Tw 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[(med)-14.1(i)10.1(a,)-333.2(in)-327.8(th)-14.1(e)-319(p)-14.1(r)10.8(e).4(s)-14.1(e)9.8(n)-14.1(c)11(e)-329.6(a)-14.1(n)11(d)-333.5(in)-327.9(th)-14.1(e)-319(a)-14.1(b)11(s)1(e)-14.1(n)11(c)-14.1(e)-320.8(o)-14.1(f)-319.2(ga)-14.1(l)8.3(a).4(c)-14.1(t)8.3(os)-14.1(e)9.8(,)-327.5(is)-334.7(tak)-14.1(e)11(n)-333.5(i)-.6(nto)-333.5(acc)-14.1(o)11(u)-14.1(n)7.1(t)-324.9(b)-14.1(y)-317.2(s)-14.1(e)9.8(ttin)-14.1(g)-317.2(d)-14.1(i)10.1(f).2(f)-14.1(e)9.1(re)-14.1(n)11(t)-330.6(in)-14.1(i)10.1(tial)-330.6(c)-14.1(o)11(n)-14.1(-)]TJ 0 -1.2007 TD 0 Tc [(c)14.5(e)0(n)25.1(t)13.5(ra)23.2(t)13.5(i)13.5(o)0(n)26.9(s)-206.8(o)16.3(f)-207.6(t)13.5(h)16.3(e)-207.4(m)12.8(o)16.3(l)0(e)22.4(c)14.5(ul)24.2(a)14.5(r)-207.6(s)15.1(p)0(e)25.1(c)0(i)22.4(e)14.5(s)-206.8(i)13.5(n)-199.9(t)13.5(he)-191.1(GA)19.1(L)-199.7(r)0(e)23.2(g)0(u)26.9(l)13.5(at)22.4(o)16.3(r)0(y)-191.3(n)0(e)25.1(t)13.5(w)12.4(o)0(r)25(k)0(.)-188.9(I)0(n)-191.3(t)13.5(he)-196.8(s)15.1(i)13.5(m)12.8(u)0(l)24.2(a)14.5(t)13.5(e)0(d)-191.1(e)0(x)25.1(p)0(e)25.1(r)14.3(im)20.6(e)14.5(n)0(t)24.2(s)15.1(,)-205.2(w)12.4(e)-201.7(s)0(e)23.9(t)-202.7(al)22.4(l)-202.7(t)13.5(he)]TJ T* -.0142 Tc [(in)-14.2(i)10(tial)-342.1(c).3(o)-14.2(n)12.7(c)-14.2(e)9.2(n)-14.2(t)10(ratio)-14.2(n)7(s)-340.5(at)-336.4(e)-14.2(i)8.2(th)-14.2(e)10.9(r)-341.3(on)-14.2(e)-330.5(o)2.1(f)-341.3(t)-.7(h)-14.2(e)-330.5(two)-339.3(e).3(q)-14.2(u)7(ilibri)-14.2(u)10(m)-342.9(va)-14.2(l)8.2(u)2.1(e)-14.2(s)]TJ /F6 1 Tf 26.1253 0 TD 0 Tc (x)Tj 6.9738 0 0 6.9738 372.3589 678.1038 Tm (e)Tj /F1 1 Tf 4.9813 0 0 4.9813 375.4771 677.0833 Tm (1)Tj 9.9626 0 0 9.9626 382.3369 679.6345 Tm -.0145 Tc [(an)-14.5(d)]TJ /F6 1 Tf 1.747 0 TD 0 Tc (x)Tj 6.9738 0 0 6.9738 404.2203 678.1038 Tm (e)Tj /F1 1 Tf 4.9813 0 0 4.9813 407.3385 677.0833 Tm (2)Tj 9.9626 0 0 9.9626 410.8534 679.6345 Tm -.0143 Tc [(,)-339(a).2(n)-14.3(d)-328.8(the)-14.3(n)-330.6(we)-341.2(pe)-14.3(r)8.9(t)-.8(u)-14.3(r)10.6(b)-339.4(t)-.8(h)-14.3(e)-330.6(initia)-14.3(l)]TJ -30.4387 -1.2007 TD -.0147 Tc 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[(less)-436.8(of)-437.9(the)-434.9(initial)-442.7(concentration)-441.6(of)]TJ T* [(Gal80p,)-705.3(whereas)-706.5(different)-705.5(initial)]TJ T* [(concentrations)-562.5(of)-564.4(internalized)-566.3(ga-)]TJ 0 -1.2266 TD [(lactose)-335.5(lead)-342(the)-340.1(system)-338.2(to)-338.2(different)]TJ 0 -1.2203 TD [(equilibrium)-335.4(conditions.)]TJ /F2 1 Tf 9.9626 0 0 9.9626 107.6031 737.4045 Tm [(BISTAB)-11.7(ILITY)-338.2(ANA)-8.4(LYSIS)-342.1(IN)-336.7(THE)-339.6(GAL)-338.8(NETWO)-10.1(RK)-17757.8(157)]TJ ET endstream endobj 136 0 obj <>stream Adobed       JZ  s!1AQa"q2B#R3b$r%C4Scs5D'6Tdt& EFVU(eufv7GWgw8HXhx)9IYiy*:JZjzm!1AQa"q2#BRbr3$4CS%cs5DT &6E'dtU7()󄔤euFVfvGWgw8HXhx9IYiy*:JZjz ?q]cq.?'rHt*Yn\Ur{*(̚._SF]*?Sh~𴊲-^4 lY" J!S+*boz>ys ui[֟+%E*1THG#t8E=B+WznqTmn"fF(G@Jت'灪׈[,_cFbr?|[W1Wr?|;W1V5Xqdojߏъ `V)FzLUo7ুij6_]VGCx Uhw Hj6ksym˜rpU k]VN? +npf`H Q\Uq-? cኴ]1y-xGN~*f-AZlUOG< VEGŷኸUGFb~bO_kq\U4욍Wr~(x9 o銶 r ZN }3ȑj>U28 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UߠtV?1W~*:OZ]I\@?kw'pb*'pbIrS_ˤ[)f,?a|©(v*UثWb]v*UثWb]v*UثWb]v*UثWb]v*Uت=#^?Ob}C?((jߣX UUUUUU?W*wwwwwwwwwww?_O8_OX_OX_O8_O8_O8_OX_O8_O8_O8_O8_OX_OX_O8U?W*W8Ob#LP endstream endobj 148 0 obj <>/ProcSet [/PDF /Text /ImageB /ImageC /ImageI]/XObject<>/Font<>>>/Thumb 151 0 R/MediaBox[0 0 612 792]/Rotate 0>> endobj 152 0 obj <>/ProcSet[/PDF/Text/ImageB]/XObject<>/Font<>>> endobj 149 0 obj <>stream /GS1 gs BT /F1 1 Tf 9.9626 0 0 9.9626 117.5811 715.4644 Tm 0 0 0 rg 0 Tc 0 Tw [(Motivated)-316.6(by)-303.1(thes)-8.8(e)-304.2(nding)-6.6(s,)-309.6(we)-308.8(have)-308.2(devi)-7.6(sed)-306.9(a)-309.8(novel)-310(model,)-313.9(still)-306.3(based)-315.9(on)-303.1(mas)-8.8(s-action)-314.3(kinetics,)-315.4(of)-305.1(the)]TJ -1.0015 -1.195 TD [(GAL)-266(regulat)-10.7(ory)-266(network,)-266.6(under)-269.3(certain)-268.6(simpl)-8.4(ifying)-268.2(assumptio)-8.7(ns.)-264.9(Using)-267.8(CRNT)-266.6(agai)-9.4(n,)-262.9(we)-263.3(have)-268.4(perform)-10.9(ed)-265.1(a)]TJ 0 -1.2007 TD [(structura)-9.7(l)-362(bistabil)-8.7(ity)-360.6(anal)-9.4(ysis)-361(of)-367.7(the)-365.3(proposed)-369.6(model,)-365.1(conclud)-11.7(ing)-363.6(that)-363.2(it)-365.6(can)-364.4(exhibit)-368.2(two)-361.8(ste)-8(ady)-362.6(states)-368.9(for)]TJ T* [(some)-254.2(values)-251.1(of)-253.9(the)-245.8(kine)-7.6(tic)-248.6(para)-8.6(meters.)-257(Using)-250.7(the)-251.5(values)-256.8(obtained)-254.2(through)-254.8(the)-251.5(CRNT)-255.2(toolbox,)-250.2(the)-251.5(mode)-8.4(l)-248.2(has)]TJ T* [(been)-359.4(simul)-8.4(ated)-356.5(to)-362.8(replicate)]TJ /F6 1 Tf 11.4949 0 TD [(in)-357.1(silico)]TJ /F1 1 Tf 3.6761 0 TD [(the)-359.7(persistent-m)-13.8(emory)-358.2(exper)-9.4(iments)-363.7(conduc)-8.1(ted)-354(in)-362.8(Acar)-359.7(et)-358.9(al.)-359.3(\(2005\),)]TJ -15.171 -1.2007 TD [(conrmi)-8.9(ng)-269(the)-274.3(capability)-280.1(to)-266.1(exhi)-7.6(bit)-269.6(such)-273.5(featur)-9.2(es.)-272.3(Additiona)-9.5(lly,)-270(we)-274.7(have)-274.1(tested)-270.9(alter)-9.2(native)-275.4(structure)-9.7(s)-269.4(o)0(f)-271(the)]TJ T* [(reaction)-394.5(networ)-9.3(k,)-388.1(looking)-392.1(for)-387.5(simpl)-8.4(er)-386.6(mode)-8.4(ls;)-384.6(howe)-8.8(ver,)-387.7(such)-393(tests)-394.8(have)-387.9(evid)-7.6(enced)-390.4(that)-391.6(further)-397.1(simpli-)]TJ T* [(cation)-309.6(of)-310.8(the)-308.4(model)-307.8(entails)-314.3(signica)-9.9(nt)-305.9(change)-9.9(s)-303.6(i)0(n)-305.9(the)-308.4(globa)-8.4(l)-305.1(dynamic)-9.5(al)-302(b)-6.5(ehavior)-309.6(and,)-311.7(in)-305.9(particula)-11.1(r,)-304.7(loss)-309.8(of)]TJ T* [(bistabil)-8.7(ity.)]TJ 1.0015 -1.195 TD [(As)-257(dete)-9.4(rmination)-267.1(of)-259.6(the)-257.2(multi)-9.9(ple)-257.2(steady)-268.2(states)-260.7(is)-261.6(not)-261.1(sufc)-8(ient)-260.7(to)-260.4(comple)-8.7(tely)-260.7(charact)-11.5(erize)-264.3(the)-257.2(behavi)-10.9(or)-259.6(of)]TJ -1.0015 -1.2007 TD [(a)-383.8(dynam)-9.1(ical)-387.7(nonlinea)-9.5(r)-384(system)-9.3(,)-381.7(w)0(e)-388.5(have)-393.6(subsequent)-10.6(ly)-385.6(tackle)-9.8(d)-382(the)-388.1(problem)-391(of)-390.5(estimating)-391.2(the)-388.1(DAs)-392.6(of)-384.8(the)]TJ T* [(compute)-9.5(d)-336.5(equilibrium)-345.4(points.)-341.7(Such)-339.8(a)-332.6(p)-6.5(roblem)-339(is)-335.5(hardly)-341.2(solv)-7(able)-339.4(for)-336.3(gener)-9.4(al)-336.1(nonlinea)-9.5(r)-332.8(syst)-8.2(ems;)-336.7(howe)-8.8(ver,)]TJ T* [(when)-247.8(dealing)-253.4(with)-245.8(the)-245.8(class)-251.5(of)-242.5(quadr)-7.6(atic)-245.5(system)-9.3(s,)-241.3(it)-246.1(is)-244.5(possi)-9(ble)-245.8(to)-243.3(exploit)-248.7(the)-245.8(resu)-8(lts)-242.3(devi)-7.6(sed)-244.3(by)-246.2(our)-243.3(group)-250.5(in)]TJ T* [(Amato)-334.5(et)-324.7(al.)-330.8(\(2007\).)-333.3(These)-332.7(conditions)-337.6(have)-331(enabled)-332.1(us)-327.1(to)-328.7(effective)-12.1(ly)-328.7(compute)-333.9(two)-327.7(polytopi)-8.7(c)-326.9(estimat)-10.5(es)-328.9(of)]TJ T* [(the)-274.3(DAs)-278.8(of)-276.7(the)-274.3(two)-276.4(d)-6.5(istinct)-275.4(equi)-7.6(librium)-280.9(points)-278.7(found)-278.9(by)-274.7(means)-279.6(of)-271(CRN)-10(T.)-274.1(The)-277(com)-7.6(putation)-277.9(of)-276.7(the)-274.3(DAs)-278.8(is)-278.6(a)]TJ T* [(key)-328.4(iss)-7.4(ue)-327.7(for)-330.6(a)-332.6(quantitat)-10.1(ive)-331.2(characteri)-14.6(zation)-332.3(of)-327.9(the)-331.2(behavi)-10.9(or)-327.9(of)-327.9(a)-332.6(biologi)-7.9(cal)-333(system;)-331.5(inde)-7.6(ed,)-328.1(the)-331.2(DA)-333.8(of)-333.6(an)]TJ T* [(equilibri)-10.3(um)-323.7(point)-322.3(provides)-332.5(valuable)-330(informat)-9.5(ion)-318(about)-327(the)-325.5(capab)-9.2(ility)-322.2(of)-322.2(the)-325.5(system)-328(to)-323(adapt)-328.8(to)-323(exogen)-8.1(ous)]TJ 0 -1.195 TD [(perturb)-8.2(ations)-337.4(or)-333.6(transcr)-11.1(iption)-7.2(al)-330.4(no)-7.2(ise.)]TJ 1.0015 -1.2007 TD [(The)-453.4(results)-455.2(reporte)-9.9(d)-450.3(i)0(n)-448.2(the)-456.4(present)-458.7(article)-459.1(provide)-455.7(further)-459.7(insights)-454.9(into)-452.4(the)-456.4(functionin)-8.3(g)-450.3(o)0(f)-453.1(the)-450.7(GAL)]TJ -1.0015 -1.2007 TD [(regulatory)-367.8(system,)-362.5(and)-356.9(an)-356.1(intere)-10(sting)-357.7(developm)-10.3(ent)-359.6(would)-357.6(be)-361.8(the)-354(exper)-9.4(imental)-362.2(validat)-11.5(ion)-357.9(of)-356.3(the)-354(DA)-362.2(esti-)]TJ T* [(mated)-338(on)-337.3(the)-336.9(basis)-335.1(of)-339.2(the)-336.9(proposed)-341.1(mathemati)-10.5(cal)-338.7(model.)]TJ 1.0015 -1.2007 TD [(On)-335.5(the)-336.9(other)-334.7(hand,)-341(we)-337.3(believe)-340.6(that)-334.7(the)-336.9(main)-341.2(contri)-8.2(bution)-334.5(of)-339.2(this)-334.1(work)-339(consists)-341.3(in)-334.3(the)-336.9(introdu)-7.1(ction)-335.5(of)-333.6(a)]TJ -1.0015 -1.2007 TD [(novel)-395.3(appro)-7.6(ach)-392.8(to)-391.3(the)-393.8(anal)-9.4(ysis)-395.2(of)-390.5(som)-7(e)-389.5(system)-9.3(-level)-396.9(prope)-7.6(rties)-395.6(in)-391.2(biologi)-7.9(cal)-395.6(systems)-398.2(such)-393(as)-397.2(persistent)]TJ T* [(memor)-8.9(y,)-393.8(swit)-8(ch-like)-397.7(bioc)-7.6(hemica)-10.5(l)-396.2(response,)-401.4(and)-402.4(irreversibl)-10.3(e)-395.2(cell)-399.1(dif)-7(ferentiati)-10.9(on,)-394.6(which)-404.9(are)-394.8(based)-406.9(on)-394.2(the)]TJ T* [(capab)-9.2(ility)-248.2(of)-242.5(the)-251.5(underlying)-250.2(biomol)-7.9(ecular)-253.7(regulatory)-254(networ)-9.3(ks)-241.7(to)-249(exhibit)-248.7(multi)-9.9(ple)-245.8(steady)-251.1(states.)-249.7(We)-250.6(surmi)-7.6(se)]TJ 0 -1.195 TD [(that)-482.7(the)-479.2(p)-6.5(roposed)-482.6(appro)-7.6(ach,)-484.3(consisting)-486.7(of)-481.5(\(a\))-480.3(the)-484.8(analysi)-9.9(s)-480(for)-478.6(struct)-9.4(ural)-481.9(multistabi)-10.9(lity)-483.7(of)-475.8(the)-484.8(reaction)]TJ 0 -1.2007 TD [(networ)-9.3(k)-245.5(and)-248.8(\(b\))-245.2(the)-251.5(estimation)-254.6(of)-248.2(the)-245.8(DAs)-250.3(of)-248.2(the)-251.5(equilibrium)-254.3(points,)-250.7(which)-251.3(has)-250(been)-251.3(successf)-11.3(ully)-247.6(applied)-253.4(to)]TJ T* [(the)-365.3(analysis)-364.7(of)-362(the)-365.3(well-know)-12.6(n)-359.3(GAL)-368.5(system)-362.2(in)-362.8(yeast,)-370.2(can)-364.4(be)-361.8(effective)-12.1(ly)-362.8(generalize)-12.7(d)-359.3(t)0(o)-362.8(other)-363.1(regulat)-10.7(ory,)]TJ T* [(signaling,)-342.9(and)-334.1(metabo)-8.7(lic)-339.7(networks.)]TJ /F2 1 Tf 10.959 0 0 10.959 287.7165 344.8629 Tm [(7.)-501.9(APPENDIX)]TJ /F6 1 Tf -16.4352 -1.6347 TD [(7.1.)-496.9(Model)-330.8(developed)-333.4(in)-331.2(the)-334.3(present)-329.7(work)]TJ /F1 1 Tf 9.9626 0 0 9.9626 117.5811 309.033 Tm [(The)-493.3(GAL)-493.7(regulatory)-498.7(networ)-9.3(k)-484.5(mode)-8.4(l)-487.2(propos)-7.7(ed)-492.7(in)-488(the)-490.5(p)-6.5(resent)-492.1(work)-492.7(com)-7.6(prises)-497.2(the)-490.5(followi)-8.1(ng)-490.9(set)-491.7(of)]TJ -1.0015 -1.2007 TD (reactions:)Tj ET q 1 i 166.564 286.583 m 479.055 286.583 l 479.055 211.975 l 166.564 211.975 l W n q 312.93 0 0 74.608 166.564 211.975 cm /Im6 Do Q Q BT /F6 1 Tf 9.9626 0 0 9.9626 268.8944 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(G)Tj /F1 1 Tf 6.9738 0 0 6.9738 166.337 692.5604 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F7 1 Tf 9.9626 0 0 9.9626 175.4645 694.0345 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 189.2976 692.5604 Tm (1)Tj /F6 1 Tf 9.9626 0 0 9.9626 193.2661 694.0345 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 200.4661 692.5604 Tm (3)Tj /F6 1 Tf 9.9626 0 0 9.9626 204.4346 694.0345 Tm (G)Tj 6.9738 0 0 6.9738 211.6346 692.5604 Tm (i)Tj /F7 1 Tf 9.9626 0 0 9.9626 215.7732 694.0345 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 229.6062 692.5604 Tm (2)Tj /F6 1 Tf 9.9626 0 0 9.9626 233.5747 694.0345 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 240.7747 692.5604 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F7 1 Tf 9.9626 0 0 9.9626 249.9023 694.0345 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 263.7354 692.5604 Tm (5)Tj /F6 1 Tf 9.9626 0 0 9.9626 267.7039 694.0345 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 274.9039 692.5604 Tm (480)Tj /F6 1 Tf 9.9626 0 0 9.9626 288.17 694.0345 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 295.37 692.5604 Tm (3)Tj /F6 1 Tf .504 0 TD (a)Tj /F7 1 Tf 9.9626 0 0 9.9626 304.4975 694.0345 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 318.3306 692.5604 Tm (6)Tj /F6 1 Tf 9.9626 0 0 9.9626 322.3558 694.0345 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 329.4991 692.5604 Tm (3)Tj /F6 1 Tf .504 0 TD (a)Tj /F1 1 Tf .4959 0 TD (80)Tj /F6 1 Tf 9.9626 0 0 9.9626 346.2802 694.0345 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 353.4802 692.5604 Tm (4)Tj /F7 1 Tf 9.9626 0 0 9.9626 359.1495 694.0345 Tm ()Tj /F18 1 Tf .9389 0 TD (l)Tj /F1 1 Tf 6.9738 0 0 6.9738 374.0031 691.7101 Tm (3)Tj /F6 1 Tf 9.9626 0 0 9.9626 377.9716 694.0345 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 385.1716 692.5604 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F8 1 Tf 9.9626 0 0 9.9626 478.7148 694.0345 Tm (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (1c)Tj /F8 1 Tf .9503 0 TD (\))Tj /F9 1 Tf -34.0238 -1.417 TD (_)Tj /F6 1 Tf -.3187 -.2333 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 166.337 676.0628 Tm (4)Tj /F7 1 Tf 9.9626 0 0 9.9626 172.0062 677.5935 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 185.7826 676.0628 Tm (10)Tj /F7 1 Tf 9.9626 0 0 9.9626 194.9669 677.5935 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 208.7999 676.0628 Tm (3)Tj /F6 1 Tf 9.9626 0 0 9.9626 212.7684 677.5935 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 219.9684 676.0628 Tm (4)Tj /F6 1 Tf 9.9626 0 0 9.9626 223.937 677.5935 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 231.1369 676.0628 Tm (80)Tj /F7 1 Tf 9.9626 0 0 9.9626 240.2645 677.5935 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 254.0976 676.0628 Tm (4)Tj /F6 1 Tf 9.9626 0 0 9.9626 258.0661 677.5935 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 265.2661 676.0628 Tm (480)Tj /F7 1 Tf 9.9626 0 0 9.9626 280.233 677.5935 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 294.0661 676.0628 Tm (5)Tj /F6 1 Tf 9.9626 0 0 9.9626 298.0345 677.5935 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 305.1779 676.0628 Tm (480)Tj /F6 1 Tf 9.9626 0 0 9.9626 318.5007 677.5935 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 325.7007 676.0628 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F7 1 Tf 9.9626 0 0 9.9626 334.8282 677.5935 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 348.6613 676.0628 Tm (6)Tj /F6 1 Tf 9.9626 0 0 9.9626 352.6298 677.5935 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 359.8298 676.0628 Tm (3)Tj /F6 1 Tf .504 0 TD (a)Tj /F1 1 Tf .4959 0 TD (80)Tj /F6 1 Tf 9.9626 0 0 9.9626 376.6109 677.5935 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 383.8109 676.0628 Tm (4)Tj /F7 1 Tf 9.9626 0 0 9.9626 389.4235 677.5935 Tm ()Tj /F18 1 Tf .9389 0 TD (l)Tj /F1 1 Tf 6.9738 0 0 6.9738 404.3337 675.2691 Tm (4)Tj /F6 1 Tf 9.9626 0 0 9.9626 408.3022 677.5935 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 415.5023 676.0628 Tm (4)Tj /F8 1 Tf 9.9626 0 0 9.9626 478.2046 677.5935 Tm (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .717 0 TD (:)Tj /F1 1 Tf .2731 0 TD (1d)Tj /F8 1 Tf 1.0015 0 TD (\))Tj /F9 1 Tf -34.0238 -1.4169 TD (_)Tj /F6 1 Tf -.3187 -.239 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 166.337 659.6218 Tm (80)Tj /F7 1 Tf 9.9626 0 0 9.9626 175.4645 661.0959 Tm .334 Tc ()Tj /F6 1 Tf 2.0429 0 TD 0 Tc (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 200.296 659.6218 Tm (3)Tj /F6 1 Tf 9.9626 0 0 9.9626 204.3212 661.0959 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 211.4645 659.6218 Tm (4)Tj /F6 1 Tf 9.9626 0 0 9.9626 215.4897 661.0959 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 222.633 659.6218 Tm (80)Tj /F7 1 Tf 9.9626 0 0 9.9626 231.8172 661.0959 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 245.5936 659.6218 Tm (4)Tj /F6 1 Tf 9.9626 0 0 9.9626 249.6188 661.0959 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 256.7621 659.6218 Tm (480)Tj /F7 1 Tf 9.9626 0 0 9.9626 271.729 661.0959 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 285.5621 659.6218 Tm (7)Tj /F6 1 Tf 9.9626 0 0 9.9626 289.5873 661.0959 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 296.7306 659.6218 Tm (4)Tj /F7 1 Tf 9.9626 0 0 9.9626 302.3999 661.0959 Tm ()Tj /F18 1 Tf .9389 0 TD (l)Tj /F1 1 Tf 6.9738 0 0 6.9738 317.2534 658.7715 Tm (2)Tj /F6 1 Tf 9.9626 0 0 9.9626 321.2787 661.0959 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 328.422 659.6218 Tm (80)Tj /F8 1 Tf 9.9626 0 0 9.9626 478.7148 661.0959 Tm (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (1e)Tj /F8 1 Tf .9503 0 TD (\))Tj /F9 1 Tf -34.0238 -1.417 TD (_)Tj /F6 1 Tf -.3187 -.2333 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 166.337 643.1809 Tm (480)Tj /F7 1 Tf 9.9626 0 0 9.9626 181.3039 644.655 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 195.1369 643.1809 Tm (3)Tj /F6 1 Tf 9.9626 0 0 9.9626 199.1055 644.655 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 206.3055 643.1809 Tm (4)Tj /F6 1 Tf 9.9626 0 0 9.9626 210.274 644.655 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 217.474 643.1809 Tm (80)Tj /F7 1 Tf 9.9626 0 0 9.9626 226.6015 644.655 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 240.4346 643.1809 Tm (4)Tj /F6 1 Tf 9.9626 0 0 9.9626 244.4031 644.655 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 251.6031 643.1809 Tm (480)Tj /F7 1 Tf 9.9626 0 0 9.9626 266.57 644.655 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 280.403 643.1809 Tm (5)Tj /F6 1 Tf 9.9626 0 0 9.9626 284.3716 644.655 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 291.5716 643.1809 Tm (480)Tj /F6 1 Tf 9.9626 0 0 9.9626 304.8377 644.655 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 312.0377 643.1809 Tm (3)Tj /F6 1 Tf .504 0 TD (a)Tj /F7 1 Tf 9.9626 0 0 9.9626 321.1653 644.655 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 334.9984 643.1809 Tm (6)Tj /F6 1 Tf 9.9626 0 0 9.9626 338.9668 644.655 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 346.1668 643.1809 Tm (3)Tj /F6 1 Tf .504 0 TD (a)Tj /F1 1 Tf .4959 0 TD (80)Tj /F6 1 Tf 9.9626 0 0 9.9626 362.9479 644.655 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 370.1479 643.1809 Tm (4)Tj /F7 1 Tf 9.9626 0 0 9.9626 375.8172 644.655 Tm ()Tj /F18 1 Tf .9389 0 TD (l)Tj /F1 1 Tf 6.9738 0 0 6.9738 390.6707 642.3306 Tm (6)Tj /F6 1 Tf 9.9626 0 0 9.9626 394.6393 644.655 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 401.8392 643.1809 Tm (480)Tj /F8 1 Tf 9.9626 0 0 9.9626 479.3384 644.655 Tm (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (1f)Tj /F8 1 Tf .8877 0 TD (\))Tj /F9 1 Tf -34.0238 -1.417 TD (_)Tj /F6 1 Tf -.3187 -.2333 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 166.337 626.6833 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F1 1 Tf .504 0 TD (80)Tj /F7 1 Tf 9.9626 0 0 9.9626 184.8188 628.214 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 198.5952 626.6833 Tm (5)Tj /F6 1 Tf 9.9626 0 0 9.9626 202.6204 628.214 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 209.7637 626.6833 Tm (480)Tj /F6 1 Tf 9.9626 0 0 9.9626 223.0865 628.214 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 230.2865 626.6833 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F7 1 Tf 9.9626 0 0 9.9626 239.4141 628.214 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 253.2472 626.6833 Tm (6)Tj /F6 1 Tf 9.9626 0 0 9.9626 257.2157 628.214 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 264.4156 626.6833 Tm (3)Tj /F6 1 Tf .4959 0 TD (a)Tj /F1 1 Tf .504 0 TD (80)Tj /F6 1 Tf 9.9626 0 0 9.9626 281.1968 628.214 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 288.3968 626.6833 Tm (4)Tj /F7 1 Tf 9.9626 0 0 9.9626 294.0094 628.214 Tm ()Tj /F18 1 Tf .9389 0 TD (l)Tj /F1 1 Tf 6.9738 0 0 6.9738 308.9196 625.8896 Tm (7)Tj /F6 1 Tf 9.9626 0 0 9.9626 312.8881 628.214 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 320.0314 626.6833 Tm (3)Tj /F6 1 Tf .504 0 TD (a)Tj /F1 1 Tf .504 0 TD (80)Tj /F8 1 Tf 9.9626 0 0 9.9626 478.2046 628.214 Tm (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .717 0 TD (:)Tj /F1 1 Tf .2731 0 TD (1g)Tj /F8 1 Tf 1.0015 0 TD (\))Tj /F9 1 Tf -34.0238 -1.4169 TD (_)Tj /F6 1 Tf -.3187 -.239 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 166.337 610.2424 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 172.0062 611.7164 Tm ()Tj /F6 1 Tf .9389 0 TD (k)Tj /F1 1 Tf 6.9738 0 0 6.9738 185.7826 610.2424 Tm (8)Tj /F6 1 Tf 9.9626 0 0 9.9626 189.8078 611.7164 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 196.9511 610.2424 Tm (4)Tj /F7 1 Tf 9.9626 0 0 9.9626 202.6204 611.7164 Tm ()Tj /F18 1 Tf .9389 0 TD (l)Tj /F1 1 Tf 6.9738 0 0 6.9738 217.474 609.392 Tm (5)Tj /F6 1 Tf 9.9626 0 0 9.9626 221.4991 611.7164 Tm (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 228.6425 610.2424 Tm (2)Tj /F8 1 Tf 9.9626 0 0 9.9626 478.2046 611.7164 Tm (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .717 0 TD (:)Tj /F1 1 Tf .2731 0 TD (1h)Tj /F8 1 Tf 1.0015 0 TD (\))Tj /F6 1 Tf -34.3425 -1.4966 TD (G)Tj 6.9738 0 0 6.9738 166.337 595.2755 Tm (e)Tj /F7 1 Tf 9.9626 0 0 9.9626 171.6094 596.8062 Tm ()Tj /F1 1 Tf .9389 0 TD (const)Tj /F8 1 Tf 30.0518 0 TD (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2731 0 TD (1i)Tj /F8 1 Tf .7796 0 TD (\))Tj /F6 1 Tf 10.959 0 0 10.959 74.0976 574.4691 Tm [(7.2.)-502(Smidtas)-330.2(and)-331.3(Kulkarnis)-331.4(models)]TJ /F1 1 Tf 9.9626 0 0 9.9626 84.0755 556.5542 Tm [(The)-339.6(detailed)-344.1(model)-336.2(propos)-7.7(ed)-333.4(in)-334.3(Smi)-7.8(dtas)-333.2(et)-336.1(al.)-336.5(\(2006\))-338.6(include)-8.7(s)-332(the)-336.9(fol)-7(lowing)-338.4(equatio)-8.7(ns:)]TJ /F6 1 Tf 9.1902 -2.0201 TD (c)Tj /F10 1 Tf .6146 0 TD ()Tj /F6 1 Tf .717 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (4)Tj /F6 1 Tf .5008 0 TD (p)Tj /F13 1 Tf .5008 0 TD (=)Tj /F6 1 Tf .5008 0 TD (DNA)Tj /F7 1 Tf 2.2819 0 TD (!)Tj /F6 1 Tf 1.2804 0 TD (c)Tj /F10 1 Tf .6146 0 TD ()Tj /F6 1 Tf .7227 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (4)Tj /F6 1 Tf .5008 0 TD (p)Tj /F13 1 Tf .5008 0 TD (=)Tj /F6 1 Tf .5008 0 TD (DNA)Tj /F7 1 Tf 2.1681 0 TD ()Tj /F6 1 Tf .9389 0 TD (Gal)Tj /F1 1 Tf 1.508 0 TD (3)Tj /F6 1 Tf .5008 0 TD (p)Tj /F7 1 Tf .6658 0 TD ()Tj /F6 1 Tf .9389 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (80)Tj /F6 1 Tf 1.0015 0 TD (p)Tj /F8 1 Tf 8.9569 0 TD (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (2a)Tj /F8 1 Tf .9503 0 TD (\))Tj /F6 1 Tf -32.6865 -1.5023 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (4)Tj /F6 1 Tf .5008 0 TD (p)Tj /F13 1 Tf .5008 0 TD (=)Tj /F6 1 Tf .5008 0 TD (DNA)Tj /F7 1 Tf 2.1681 0 TD ()Tj /F6 1 Tf .9389 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (80)Tj /F6 1 Tf 1.0015 0 TD (p)Tj /F7 1 Tf .7796 0 TD ()Tj /F6 1 Tf 1.2804 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (80)Tj /F6 1 Tf 1.0015 0 TD (p)Tj /F13 1 Tf .5008 0 TD (=)Tj /F6 1 Tf .5008 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (4)Tj /F6 1 Tf .5008 0 TD (p)Tj /F13 1 Tf .5008 0 TD (=)Tj /F6 1 Tf .5008 0 TD (DNA)Tj /F8 1 Tf 13.185 0 TD (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .717 0 TD (:)Tj /F1 1 Tf .2731 0 TD (2b)Tj /F8 1 Tf 1.0015 0 TD (\))Tj /F6 1 Tf -32.6865 -1.4966 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (3)Tj /F6 1 Tf .5008 0 TD (p)Tj /F7 1 Tf .6658 0 TD ()Tj /F6 1 Tf .9389 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (80)Tj /F6 1 Tf 1.0015 0 TD (p)Tj /F7 1 Tf .7796 0 TD ()Tj /F6 1 Tf 1.2804 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (3)Tj /F6 1 Tf .5008 0 TD (p)Tj /F13 1 Tf .5008 0 TD (=)Tj /F6 1 Tf .5008 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (80)Tj /F6 1 Tf 1.0015 0 TD (p)Tj /F8 1 Tf 16.7416 0 TD (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (2c)Tj /F8 1 Tf .9503 0 TD (\))Tj /F6 1 Tf -32.6865 -1.5023 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (3)Tj /F6 1 Tf .5008 0 TD (p)Tj /F13 1 Tf .5008 0 TD (=)Tj /F6 1 Tf .5008 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (80)Tj /F6 1 Tf 1.0015 0 TD (p)Tj /F7 1 Tf .6658 0 TD ()Tj /F6 1 Tf .9389 0 TD [(Galact)-10.1(ose)]TJ /F7 1 Tf 4.3476 0 TD (!)Tj /F6 1 Tf 1.2804 0 TD [(Glact)-9.4(ose)]TJ /F13 1 Tf 3.568 0 TD (=)Tj /F6 1 Tf .5008 0 TD (Gal)Tj /F1 1 Tf 1.508 0 TD (3)Tj /F6 1 Tf .5008 0 TD (p)Tj /F13 1 Tf .5008 0 TD (=)Tj /F6 1 Tf .5008 0 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (80)Tj /F6 1 Tf 1.0015 0 TD (p)Tj /F8 1 Tf 8.0464 0 TD (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .717 0 TD (:)Tj /F1 1 Tf .2731 0 TD (2d)Tj /F8 1 Tf 1.0015 0 TD (\))Tj /F6 1 Tf -32.6865 -1.5023 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (3)Tj /F6 1 Tf .5008 0 TD (p)Tj /F7 1 Tf .7739 0 TD .2804 Tc (!;)Tj /F8 1 Tf 9.9626 0 0 9.9626 478.7148 476.6172 Tm 0 Tc (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (2e)Tj /F8 1 Tf .9503 0 TD (\))Tj /F6 1 Tf -32.6865 -1.4966 TD (Gal)Tj /F1 1 Tf 1.5023 0 TD (80)Tj /F6 1 Tf 1.0015 0 TD (p)Tj /F7 1 Tf .7796 0 TD .2747 Tc (!;)Tj /F8 1 Tf 27.2008 0 TD 0 Tc (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (2f)Tj /F8 1 Tf .8877 0 TD (\))Tj /F1 1 Tf -41.8768 -2.0031 TD [(In)-276.7(the)-274.3(presence)-278.2(of)-276.7(galactose,)-282.9(Gal3p,)-274.4(Gal80p)-280.5(binds)-275.2(to)-271.7(galact)-9.8(ose,)-273.1(thus)-274.5(decr)-8.6(easing)-279.6(the)-274.3(binding)-272.6(of)-276.6(Gal80p)-274.8(to)]TJ -1.0015 -1.195 TD [(Gal4p.)-268.7(Reduct)-9.9(ion)-261.1(of)-259.6(Gal80p)-263.4(activa)-9.8(tes)-258.4(Gal4p)-268.4(and)-260.2(induc)-8.4(es)-260.6(transcrip)-9.7(tion)-259(of)-259.6(the)]TJ /F6 1 Tf 31.1159 0 TD (GAL3)Tj /F1 1 Tf 2.6518 0 TD (and)Tj /F6 1 Tf 1.7072 0 TD (GAL80)Tj /F1 1 Tf 3.1469 0 TD [(genes)-8.6(.)-256.5(T)0(h)-7(i)0(s)]TJ -38.6218 -1.2007 TD [(clos)-8.8(es)-397.2(the)-399.5(feedb)-9.4(ack)-398.5(loop,)-398.8(and)-402.4(Gal3p)-399.3(and)-402.4(Gal80p)-400(shift)-405.2(the)-399.5(equilibrium)-402.3(b)-6.5(ack)-398.5(towar)-8.6(ds)-395.4(Gal4p)-404.9(inactivati)-9.7(on)]TJ T* [(\(G)-7.4(al4p/80p)-7.7(\).)-390.1(By)-398.9(means)-399.1(of)-396.2(CRNT,)-397.9(we)-399.9(can)-398.5(obtain)-398.8(that,)-397.7(for)-393.2(arbitrar)-9.7(y)-393.4(kine)-7.6(tics)-392.8(\(subjec)-9.2(t)-396.2(t)0(o)-391.3(very)-399.5(weak)-397.5(con-)]TJ T* [(str)-8.2(aints\),)-408.1(the)-410.9(corr)-8.8(esponding)-410.9(dif)-7(ferential)-417.1(equatio)-8.7(ns)-406.7(cannot)-414.9(admit)-413(a)-406.6(steady)-410.4(sta)-8(te)-404.4(at)-410.1(which)-416.3(all)-407.9(species)-414.2(con-)]TJ T* [(cent)-9.4(rations)-334.5(are)-332.2(positive,)-330.7(nor)-334.3(can)-330.2(they)-332(admit)-333.3(a)-326.9(cyclic)-334.1(com)-7.6(position)-334.2(trajectory)-338.2(that)-329(passe)-9.8(s)-326.3(through)-334.4(a)-326.9(point)-333.7(at)]TJ T* [(whi)-9(ch)-333.4(all)-328.3(speci)-11.3(es)-328.9(conce)-9.2(ntrations)-338.8(are)-337.9(positive.)-336.4(In)-333.6(particula)-11.1(r,)-333.2(there)-336.5(is)-329.8(no)-331.6(set)-338.1(of)-327.9(rate)-335.7(const)-9.6(ants)-333.2(for)-336.3(which)-336.7(the)]TJ T* [(resu)-8(lting)-251.1(mass)-255.4(action)-252.7(system)-254(can)-256.2(admit)-253.7(two)-248(disti)-7.6(nct)-251.5(strictly)-255.4(positive)-256.4(steady)-251.1(states)-255.1(that)-255.1(are)-252.5(stoichiom)-10.3(etrically)]TJ T* [(com)-7.6(patible)-341.6(or)-333.6(a)-332.6(degene)-9.9(rate)-341.4(steady)-336.5(state.)]TJ 1.0015 -1.195 TD [(Kulkar)-9.3(ni)-288.8(et)-290.6(al.)-296.7(\(2010\))-293.1(tested)-293.7(the)-297.1(dynamical)-300.1(nonlinea)-9.5(r)-287.3(quadr)-7.6(atic)-291(mode)-8.4(l)-288.1(propos)-7.7(ed)-287.8(in)-294.5(Smidtas)-295.4(et)-290.6(al.)-291(\(2006\))]TJ -1.0015 -1.2007 TD [(and)-339.8(derived)-338(an)-339.1(ODE)-340(model,)-336.6(includi)-9.7(ng)-331.6(mor)-7.8(e)-332.6(chemic)-10.5(al)-336.1(reactions:)]TJ /F6 1 Tf 16.9009 -2.0201 TD (G)Tj /F1 1 Tf .7227 0 TD (4)Tj /F7 1 Tf .7796 0 TD ()Tj /F6 1 Tf 1.2804 0 TD (G)Tj /F1 1 Tf .717 0 TD (4)Tj /F7 1 Tf 6.9738 0 0 6.9738 282.3306 306.1984 Tm ()Tj 9.9626 0 0 9.9626 287.9999 302.1165 Tm ()Tj /F6 1 Tf .9389 0 TD (GAL)Tj /F1 1 Tf 1.8893 0 TD (3)Tj /F13 1 Tf .5008 0 TD (=)Tj /F1 1 Tf .5008 0 TD (80)Tj /F8 1 Tf 15.3133 0 TD (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (3a)Tj /F8 1 Tf .9503 0 TD (\))Tj /F6 1 Tf -25.9774 -1.5023 TD (R)Tj /F7 1 Tf .7853 0 TD ()Tj /F6 1 Tf .9389 0 TD (Gal)Tj /F7 1 Tf 1.7811 0 TD ()Tj /F6 1 Tf 1.2804 0 TD (G)Tj /F1 1 Tf .717 0 TD (4)Tj /F7 1 Tf 6.9738 0 0 6.9738 302.2865 291.2881 Tm ()Tj 9.9626 0 0 9.9626 307.9558 287.1495 Tm ()Tj /F6 1 Tf .9389 0 TD (BR)Tj /F8 1 Tf 16.1498 0 TD (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .717 0 TD (:)Tj /F1 1 Tf .2731 0 TD (3b)Tj /F8 1 Tf 1.0015 0 TD (\))Tj /F6 1 Tf -25.9774 -1.5023 TD (G)Tj /F1 1 Tf .7227 0 TD (4)Tj /F7 1 Tf .7227 0 TD .3877 Tc ()Tj /F6 1 Tf 1.8267 0 TD 0 Tc (GAL)Tj /F1 1 Tf 1.8893 0 TD (3)Tj /F13 1 Tf .5008 0 TD (=)Tj /F1 1 Tf .5008 0 TD (80)Tj /F7 1 Tf 1.2804 0 TD ()Tj /F6 1 Tf 1.2804 0 TD (R)Tj /F8 1 Tf 14.9889 0 TD (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (3c)Tj /F8 1 Tf .9503 0 TD (\))Tj /F6 1 Tf -25.9774 -1.4966 TD (G)Tj /F1 1 Tf .7227 0 TD (4)Tj /F7 1 Tf 6.9738 0 0 6.9738 254.6645 261.3542 Tm ()Tj 9.9626 0 0 9.9626 261.4109 257.2724 Tm .2804 Tc (!;)Tj /F8 1 Tf 21.7607 0 TD 0 Tc (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .717 0 TD (:)Tj /F1 1 Tf .2731 0 TD (3d)Tj /F8 1 Tf 1.0015 0 TD (\))Tj /F6 1 Tf -25.9774 -1.5023 TD (GAL)Tj /F1 1 Tf 1.8893 0 TD (3)Tj /F13 1 Tf .5008 0 TD (=)Tj /F1 1 Tf .5008 0 TD (80)Tj /F7 1 Tf 1.2804 0 TD .2804 Tc (!;)Tj /F8 1 Tf 19.5413 0 TD 0 Tc (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (3e)Tj /F8 1 Tf .9503 0 TD (\))Tj /F6 1 Tf -25.9774 -1.4966 TD (R)Tj /F7 1 Tf .8934 0 TD .2804 Tc (!;)Tj /F8 1 Tf 22.8817 0 TD 0 Tc (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .7227 0 TD (:)Tj /F1 1 Tf .2675 0 TD (3f)Tj /F8 1 Tf .8877 0 TD (\))Tj /F6 1 Tf -25.9774 -1.5023 TD (BR)Tj /F7 1 Tf 1.5137 0 TD .2747 Tc (!;)Tj /F8 1 Tf 22.1476 0 TD 0 Tc (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .717 0 TD (:)Tj /F1 1 Tf .2731 0 TD (3g)Tj /F8 1 Tf 1.0015 0 TD (\))Tj /F6 1 Tf -25.9774 -1.4966 TD (Gal)Tj /F7 1 Tf 1.7811 0 TD .2804 Tc (!;)Tj /F8 1 Tf 21.8802 0 TD 0 Tc (\()Tj /F1 1 Tf .3244 0 TD (A)Tj /F13 1 Tf .717 0 TD (:)Tj /F1 1 Tf .2731 0 TD (3h)Tj /F8 1 Tf 1.0015 0 TD (\))Tj /F1 1 Tf -42.8783 -2.0031 TD [(whe)-8(re)-284.1(GAL3/)-8.5(80)-280.4(is)-284.3(the)-285.7(com)-7.6(plex)-286.4(in)-283.1(which)-285.4(are)-286.7(lump)-9.3(ed)-282.2(Gal3p)-291.1(and)-282.9(Gal80p;)-289.7(R)-284.3(i)0(s)-284.3(the)-285.7(inactive)-292.9(comple)-8.7(x)-279.6(formed)]TJ 0 -1.2007 TD [(by)-251.9(Gal3p,)-257.4(Gal80p,)-258.1(and)-254.5(Gal4p;)-254.8(BR)-255.7(is)-250.2(the)-251.5(bound)-254.2(recepto)-9.7(r)-247.4(com)-7.6(prisin)-7.6(g)-245.5(Gal3p,)-257.4(Gal80p,)-258.1(and)-254.5(galact)-9.8(ose;)-253.5(and)-248.8(G4*)]TJ T* [(repr)-8.8(esents)-246.6(the)-251.5(activate)-10.1(d)-245.5(transcrip)-9.7(tional)-248(activa)-9.8(tor)-246(Gal4p)-245.6(prot)-7.8(ein.)-246.2(The)-248.6(total)-247.2(Gal4p)-251.3(concentr)-10.5(ation)-244.4(is)-250.2(assumed)-248.1(to)]TJ T* [(be)-339.1(constant)-340.7(during)-339.4(the)-336.9(GAL)-340(response.)]TJ 1.0015 -1.195 TD [(By)-273.7(means)-273.9(of)-265.3(CRN)-10(T,)-268.4(we)-269(can)-273.3(still)-272.1(obtain)-273.7(that,)-272.5(for)-268(arbitr)-10.1(ary)-267.8(kine)-7.6(tics)-267.6(\(subjec)-9.1(t)-271(t)0(o)-266.1(very)-274.3(weak)-272.3(constra)-9.2(ints\),)-274.7(the)]TJ -1.0015 -1.2007 TD [(corr)-8.8(espond)-7.6(ing)-301(system)-305.3(cannot)-301.1(adm)-7.6(it)-297.3(a)-298.5(ste)-8(ady)-300(state)-304.3(at)-302(which)-302.5(all)-299.8(species)-306.1(conce)-9.2(ntrations)-310.3(are)-298.1(posi)-7(tive,)-301(nor)-300.2(can)]TJ T* [(they)-326.3(adm)-7.6(it)-320(a)-321.2(cycl)-9.4(ic)-319.1(com)-7.6(position)-328.6(traject)-9.6(ory)-322.9(that)-323.3(passe)-9.8(s)-320.6(through)-328.8(a)-321.2(point)-328(at)-319.1(which)-331(all)-322.6(species)-328.8(conce)-9.2(ntrations)]TJ T* [(are)-320.8(posi)-7(tive.)-318(In)-316.5(partic)-10(ular,)-317.2(ther)-9.6(e)-315.5(i)0(s)-318.5(n)0(o)-314.5(set)-321(of)-316.5(rate)-318.7(const)-9.6(ants)-316.1(for)-319.2(which)-325.3(the)-319.8(resulting)-321.7(mass)-323.7(action)-321(system)-322.3(can)]TJ T* [(adm)-7.6(it)-422.5(tw)-8.2(o)-421.9(disti)-7.6(nct)-422.2(str)-8.2(ictly)-423.6(p)-6.5(ositive)-426.3(ste)-8(ady)-425.2(states)-431.5(that)-431.5(are)-423.2(stoichi)-10.9(ometr)-8.2(ically)-426.2(com)-7.6(patible)-432.6(or)-424.6(a)-423.7(degene)-9.9(rate)]TJ T* [(ste)-8(ady)-334.1(state.)]TJ /F2 1 Tf 0 66.9948 TD [(16)-7.2(0)]TJ 33.5629 0 TD [(COSENTI)-9.5(NO)-339(ET)-335.3(AL.)]TJ ET endstream endobj 157 0 obj <>/XObject<>/ProcSet [/PDF /Text /ImageB /ImageC /ImageI]/Font<>>>/Thumb 159 0 R/MediaBox[0 0 612 792]/Rotate 0>> endobj 160 0 obj <>/ProcSet[/PDF/Text]/Font<>>> endobj 158 0 obj <>stream /GS1 gs BT /F2 1 Tf 10.959 0 0 10.959 251.2062 714.7841 Tm 0 0 0 rg 0 Tc 0 Tw [(DISCLOSURE)-328.8(STATEMENT)]TJ /F1 1 Tf 9.9626 0 0 9.9626 117.5811 690.9164 Tm [(No)-335.5(compet)-8.7(ing)-335.1(nancial)-340.6(intere)-10(sts)-331.8(exis)-8.8(t.)]TJ /F2 1 Tf 10.959 0 0 10.959 286.0724 653.0455 Tm (REFERENCES)Tj /F1 1 Tf 8.9663 0 0 8.9663 107.6031 629.1211 Tm [(Acar,)-467(M.,)-461.3(Becskei,)-465.6(A.,)-463.9(and)-462.5(van)-462.5(Oudenaarden,)-462.1(A.)-467.3(2005.)-462.5(Enhancement)-460.6(of)-463.2(cellular)-466.9(memory)-464.4(by)-460.6(reducing)-462.8(stochastic)]TJ .999 -1.2203 TD (transitions.)Tj /F6 1 Tf 4.7612 0 TD (Nature)Tj /F1 1 Tf 3.1109 0 TD [(435,)-336.6(228232.)]TJ -8.871 -1.2203 TD [(Am)19.4(at)19.8(o,)-179.5(F.)-184.4(2)13.1(0)0(0)19.9(6)0(.)]TJ /F6 1 Tf 6.5063 0 TD [(R)13.3(o)0(b)19.9(u)0(s)18.8(t)-193.2(Co)21.6(nt)15.9(ro)18.8(l)-186.9(o)0(f)-186.4(L)14.6(in)15.9(ea)17.5(r)-190.4(S)13.1(ys)16.3(te)19.8(ms)-180.6(Su)19.9(bj)15.9(ec)21.4(t)-193.2(t)0(o)-180.1(U)0(n)16.6(c)0(e)21.4(r)0(t)14.7(a)13.1(in)-180.1(Ti)17.3(me)20.5(-V)17.5(ar)18.8(yi)19.8(ng)-182.4(Pa)20.1(ra)18.8(me)20.5(te)19.8(rs)17.6(.)]TJ /F1 1 Tf 32.1141 0 TD [(Sp)21.4(ri)19.6(ng)19.9(er)-181.1(Ve)14.2(rl)19.6(ag)17.5(,)-186.3(B)0(e)12.8(r)0(l)19.6(i)15.4(n.)]TJ -38.6203 -1.2267 TD [(Amato,)-273(F.,)-275.8(Cosentino,)-274.1(C.,)-269.3(and)-272.8(Merola,)-277.7(A.)-271.3(2007.)-272.9(On)-274.2(the)-270.5(region)-278(of)-267.2(attraction)-280.3(of)-273.5(nonlinear)-270.3(quadratic)-279.1(systems.)]TJ /F6 1 Tf 43.3752 0 TD (Automatica)Tj /F1 1 Tf -42.3762 -1.2203 TD [(43,)-330.7(21192123.)]TJ -.999 -1.2203 TD [(Angeli,)-247.7(D.,)-242.6(Ferrel,)-252.9(J.E.,)-242.7(and)-247.5(Sontag,)-245.3(E.D.)-248.2(2004.)-247.6(Detection)-245.8(of)-248.2(multistability,)-250.4(bifurcation,)-247.3(and)-247.5(hysteresis)-248.1(in)-243.3(a)-248.5(large)-249.3(class)-249.1(of)]TJ .999 -1.2266 TD [(biological)-338.5(positive-feedback)-338.4(systems.)]TJ /F6 1 Tf 15.5733 0 TD [(Proc.)-333.2(Natl.)-329.9(Acad.)-338.3(Sci.)-330.4(USA)]TJ /F1 1 Tf 11.4634 0 TD [(101,)-330.2(18221827.)]TJ -28.0358 -1.2203 TD [(Bagowski,)-337.1(C.P.,)-333.5(and)-329.7(Ferrell,)-338.6(J.E.)-334.7(2001.)-329.8(Bistability)-336.9(in)-331.8(the)-333.8(JNK)-335.1(cascade.)]TJ /F6 1 Tf 29.4015 0 TD [(Curr.)-330.5(Biol.)]TJ /F1 1 Tf 4.7801 0 TD [(11,)-330.7(11761182.)]TJ -34.1817 -1.2203 TD (Bala)Tj 1.4606 .0379 TD ()Tj .3794 -.0379 TD [(zsi,)-243(G.,)-236.3(van)-234.9(Oudernaarden,)-242.9(A.,)-236.3(and)-241.2(Collins,)-232.5(J.J.)-241.2(2011.)-234.9(Cellular)-241.6(decision)-237.8(making)-234.7(and)-241.2(biological)-237.3(noise:)-236.3(from)-240.7(microbes)]TJ -.8409 -1.2266 TD [(to)-331.8(mammals.)]TJ /F6 1 Tf 5.6021 0 TD (Cell)Tj /F1 1 Tf 2.0107 0 TD [(144,)-336.6(910925.)]TJ -8.6118 -1.2203 TD [(Bhat,)-334.6(P.J.)-333.4(2008.)]TJ /F6 1 Tf 6.8287 0 TD [(Galactose)-341.8(Regulon)-331.6(of)-331.8(Yeast:)-334.7(From)-337.5(Genetics)-338.4(to)-331.8(Systems)-333.6(Biology.)]TJ /F1 1 Tf 26.7396 0 TD [(Springer-Verlag,)-333(Berlin.)]TJ -33.5683 -1.2203 TD [(Boyd,)-246(S.P.,)-238.9(El)-249.4(Ghaoui,)-243.7(L.,)-245.4(Feron,)-244.4(E.,)-245.4(et)-239.4(al.)-248.7(1994.)]TJ /F6 1 Tf 19.5694 0 TD [(Linear)-243.5(Matrix)-251.1(Inequalities)-246.5(in)-243.3(System)-244.4(and)-245.1(Control)-244.5(Theory.)]TJ /F1 1 Tf 23.3442 0 TD [(SIAM)-243.5(Press,)]TJ -41.9146 -1.2203 TD (Philadelphia.)Tj -.999 -1.2266 TD [(Chickarmane,)-357.2(V.,)-350.1(Troein,)-356.6(C.,)-351.5(Nuber,)-356.6(U.A.,)-355.8(et)-353.2(al.)-349.8(2006.)-355(Transcriptional)-357.3(dynamics)-351.1(of)-355.7(the)-352.7(embryonic)-352(stem)-357(cell)-352.4(switch.)]TJ /F6 1 Tf .999 -1.2203 TD [(PLoS)-331.6(Comput.)-334.5(Biol.)]TJ /F1 1 Tf 8.5106 0 TD [(2,)-331.2(e123.)]TJ -9.5097 -1.2203 TD [(Cosentino,)-337.4(C.,)-332.5(and)-329.7(Bates,)-337.7(D.G.)-333.9(2011.)]TJ /F6 1 Tf 15.5923 0 TD [(Feedback)-334.4(Control)-333(in)-338.2(Systems)-333.6(Biology.)]TJ /F1 1 Tf 16.0033 0 TD [(CRC)-335.2(Press,)-335.3(Boca)-336.4(Raton,)-334.1(FL.)]TJ -31.5956 -1.2266 TD [(Craciun,)-414(G.,)-407(and)-411.9(Feinberg,)-407.4(M.)-414.1(2005.)-405.6(Multiple)-413.6(equilibria)-410.7(in)-407.7(complex)-413.6(chemical)-415.7(reaction)-412.3(networks.)-410.9(I.)-409.7(The)-411.8(injectivity)]TJ .999 -1.2203 TD (property.)Tj /F6 1 Tf 3.9771 0 TD [(SIAM)-337.7(J.)-333.6(Appl.)-333.6(Math.)]TJ /F1 1 Tf 8.8205 0 TD [(65,)-337.1(15261546.)]TJ -13.7966 -1.2203 TD [(de)-349.2(Atauri)-348.6(P.,)-345.4(Orrell)-344.8(D.,)-350.1(Ramsey)-346.5(S.,)-345.4(et)-353.2(al.)-343.5(2004.)-348.7(Evolution)-348.9(of)-343.1(design)-346.1(principles)-350.9(in)-344.5(biochemical)-355(networks.)]TJ /F6 1 Tf 43.2803 0 TD [(IEEE)-347.9(Proc.)]TJ -42.2813 -1.2266 TD [(Syst.)-337.4(Biol.)]TJ /F1 1 Tf 4.4577 0 TD [(1,)-331.2(2840.)]TJ -5.4567 -1.2203 TD [(Ellison,)-341.4(P.)-342.4(1998.)-342.4(The)-348.5(advanced)-340.9(deciency)-349.3(algorithm)-345(and)-342.4(its)-342.9(applications)-347.5(to)-344.5(mechanism)-343.9(discrimination)-347.9([Ph.D.)-343.5(disser-)]TJ .999 -1.2203 TD [(tation].)-332.7(University)-339.2(of)-330.4(Rochester,)-340.8(Rochester,)-334.5(NY.)]TJ -.999 -1.2266 TD [(Feinberg,)-312.6(M.)-313(1988.)-310.8(Chemical)-316.8(reaction)-311.2(network)-312.4(structure)-318.4(and)-310.8(the)-314.8(stabiliyt)-310.2(of)-311.5(complex)-312.5(isothermal)-316.5(reactors.)-313.9(II.)-317(Multiple)]TJ .999 -1.2203 TD 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