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[(the)-206(mathemat)-12.6(ical)-205.6(mode)-8.4(ls)-204.7(propos)-7.7(ed)-202.5(so)-207.6(far)-207.2(are)-207(not)-204.2(able)-208.6(to)-209.2(reproduce)-209.7(thi)-7.8(s)-201.1(partic)-10(ular)-203.1(prope)-7.6(rty.)-206.6(This)-206(fact)-210.5(has)-210.1(been)]TJ T* [(recently)-206.7(pointed)-200.4(out)-198.5(in)-203.5(Kulkarni)-201.4(et)-199.6(al.)-199.9(\(2010\))-8.5(,)-193.9(whe)-8(re)-198.8(the)-200.3(authors)-200.8(tes)-8(t)-197(the)-200.3(dynamical)-203.4(nonlin)-10.1(ear)-195.6(q)-6.5(uadratic)-201.1(mode)-8.4(l)]TJ T* [(propos)-7.7(ed)-219.6(in)-214.8(Smidta)-8.9(s)-218.2(e)0(t)-216.6(al.)-222.7(\(2006\))-219.1(again)-10.1(st)-216(the)-217.4(afor)-8.8(ementione)-9.9(d)-217(exper)-9.4(imental)-225.6(ndings)-219.1(and)-220.3(concl)-10.1(ude)-220.3(that)-220.9(it)-217.6(does)]TJ T* [(not)-255.4(exhi)-7.6(bit)-258.2(bistabil)-8.7(ity.)-258.6(Kulkarni)-264(et)-256.5(al.)-256.8(\(2010\))-264.6(extend)-261.3(the)-257.2(Smi)-7.8(dtas’)-261.9(model)-256.6(and)-260.2(derive)-263.3(som)-7(e)-252.9(concl)-10.1(usions)-260.1(about)]TJ T* [(cellular)-255(memory)-248.7(by)-246.2(appl)-7.6(ying)-244.8(a)-247.2(method)-251.7(devi)-7.6(sed)-244.3(by)-246.2(our)-249(group)-250.5(\(Amato)-251.9(et)-245.1(al.,)-245.8(2007\))-250.5(to)-249(analyze)-254.2(the)-245.8(domains)-253.6(of)]TJ T* [(attract)-9.6(ion)-209.9(\(DA\))-214(of)-214.1(an)-208.2(equi)-7.6(librium)-212.6(point)-214.2(in)-209.2(nonli)-9.3(near)-213.5(quadratic)-218.9(system)-9.3(s.)-207.2(On)-210.3(the)-217.4(hand,)-210.1(howe)-8.8(ver,)-211.3(Kulkar)-9.3(ni)-209.1(et)-210.9(al.)]TJ 0 -1.195 TD [(\(2010\))-241.8(do)-234.8(not)-232.7(provi)-8.6(de)-236.6(a)-235.9(theoretic)-11.1(al)-233.7(analysi)-9.9(s)-235.3(nor)-237.6(numerical)-245.2(simulat)-8.7(ions)-234.6(to)-237.6(prove)-240.9(whether)-239.5(the)-240.2(proposed)-238.7(mode)-8.4(l)]TJ 0 -1.2007 TD [(actual)-9.8(ly)-277.4(exhi)-7.6(bits)-282.9(a)-281.4(bistable)-286.6(behavi)-10.9(or.)]TJ 1.0015 -1.2007 TD [(In)-282.3(this)-282.9(work,)-288.2(we)-280.4(propos)-7.7(e)-281.4(a)-287.1(novel)-281.5(mode)-8.4(l)-282.4(that)-283.5(maintai)-9.3(ns)-281.6(the)-285.7(quadr)-7.6(atic)-285.3(form)-283.7(of)-282.3(the)-285.7(most)-283.7(recently)-292.1(propos)-7.7(ed)]TJ -1.0015 -1.2007 TD [(models)-8.1(,)-330.4(derived)-343.7(by)-331.6(appl)-7.6(ying)-335.9(mass-act)-10.7(ion)-335.1(kinetics.)-343.9(Indeed,)-340.6(such)-336.1(class)-336.9(of)-333.6(d)-6.5(ynamical)-339.2(system)-9.3(s)-332(can)-335.9(be)-339.1(easily)]TJ T* [(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(CEREVISIÆ)]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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[(from)-369(the)-371(nucleus)-371.4(to)-362.8(the)-365.3(cyto)-7.6(plasm.)-366.3(Th)-7(is)-364(decrease)-12.5(s)-360.5(the)-371(concentr)-10.5(ation)-363.9(o)-6.5(f)-361.2(Gal80p,)-371.9(reducing)-372.9(the)-365.3(fraction)-372(of)]TJ T* [(Gal80p-)-10.1(bound)-311.1(Gal4p)-313.9(in)-305.9(the)-308.4(nucleus)-308.8(\(Peng)-314.1(et)-307.7(al.,)-308.4(2002\).)-307.8(Thu)-7.8(s,)-303.9(galact)-9.8(ose)-306.9(relieves)-316.1(the)-308.4(inactivat)-11.9(ion)-306.6(of)-305.1(Gal4p)]TJ 0 -1.195 TD [(and)-317.1(promot)-7.1(es)-311.8(transcr)-11.1(iption)-314.5(of)-310.8(the)]TJ /F6 1 Tf 13.8906 0 TD (GAL)Tj /F1 1 Tf 2.2022 0 TD [(genes.)-316.2(The)-311.2(p)-6.5(resence)-317.2(of)-310.8(gluc)-7.6(ose)-312.6(\(eve)-8.6(n)-308.1(whe)-8(n)-308.1(gala)-9.4(ctose)-312.9(is)-312.8(availa)-9.8(ble\))]TJ -16.0929 -1.2007 TD [(inhi)-8.6(bits)-334.1(the)-336.9(synthesi)-10.1(s)-332(o)0(f)-333.6(Gal4p)-342.3(through)-340.1(Mig1p-medi)-11(ated)-339.4(repress)-9.6(ion)-335.1(of)]TJ /F6 1 Tf 28.9877 0 TD (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(CEREVISIÆ)]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(cerevisiæ)]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* 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[(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 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[(cs,)-462.3(w)0(it)-4.5(h)-457(t)-4.5(he)-464.5(drawback)-462.7(of)-464.7(renderi)-4.5(n)3.9(g)-462.7(t)1.2(he)-464.5(stabi)-4.5(lity)]TJ -22.4037 -1.2007 TD .0112 Tc [(analysis)-423.2(a)-429.5(d)4.7(aunting)-427.7(t)2(ask.)-421.7(A)-4.9(d)4.7(di)-3.7(tional)-3.7(l)2(y,)-421.7(the)-429.5(f)2.8(or)]TJ 19.7633 0 TD .0117 Tc [(mu)5.2(lation)-421.6(of)-423.5(the)-429(m)1.7(odel)-424.3(i)2.5(n)-427.2(t)2.5(he)-429(framework)-427.2(of)-423.5(dyn)5.2(amical)]TJ -19.7633 -1.2007 TD .0105 Tc [(quadratic)-322.1(syst)-4.4(em)-5.2(s)-321.5(e)2.3(nables)-321.5(us)-321.5(to)-326(quan)]TJ 15.4726 0 TD [(titati)-4.4(vely)-320.3(characteri)-4.4(ze)-322.1(t)-4.4(h)4(e)-322.1(D)-5.6(A)-318.6(o)-1.6(f)-322.3(t)1.3(he)-322.1(equil)-4.4(i)1.3(bri)-4.4(u)4(m)-323.8(p)-1.6(oints,)-319.9(as)-321.5(w)-5.6(ill)-323.1(be)]TJ -15.4726 -1.2007 TD .0097 Tc [(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 [(The)-407.9(path)-7.6(way)-412(starts)-408.9(from)-414.6(the)-410.9(external)-411.6(gala)-9.4(ctose)-409.7(upta)-7.6(ke)-407.3(in)-408.3(the)-410.9(cell)-410.5(membr)-8.9(ane)-409.9(and)-413.8(is)-403.8(com)-7.6(posed)-410.8(of)-407.5(16)]TJ -1.0015 -1.2007 TD [(reaction)-309.2(ste)-8(ps.)-304.7(External)-307.2(g)-6.5(alactose)-310.2(is)-301.4(int)-7.8(ernalized)-311.7(into)-304.5(the)-308.4(yeast)-307.2(cell)-308.1(via)-302.7(the)-308.4(action)-309.6(of)-305.1(Gal2,)-307.8(as)-300.4(d)-6.5(escribed)-307.6(by)]TJ T* [(the)-336.9(reaction)]TJ /F6 1 Tf 16.4741 -1.9177 TD (G)Tj 6.9738 0 0 6.9738 278.8723 407.9621 Tm (e)Tj /F7 1 Tf 9.9626 0 0 9.9626 284.2015 409.4361 Tm (þ)Tj /F6 1 Tf .9389 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 300.6991 407.9621 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 307.4456 409.4361 Tm (!)Tj /F6 1 Tf 1.2804 0 TD (G)Tj 6.9738 0 0 6.9738 327.4015 407.9621 Tm (i)Tj /F7 1 Tf 9.9626 0 0 9.9626 331.54 409.4361 Tm (þ)Tj /F6 1 Tf .9389 0 TD (G)Tj /F1 1 Tf 6.9738 0 0 6.9738 348.0377 407.9621 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 353.707 409.4361 Tm (þ)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 (þ)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 (¼)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 (þ)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 (4‚80)Tj /F7 1 Tf 9.9626 0 0 9.9626 257.5558 712.0061 Tm (þ)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 (þ)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 (¼)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 (þ)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 (þ)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 (¼)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 (4‚80)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 (¼)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 (¼)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 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[(e\))-338.8(are)-332.9(l)1.9(umped)-331.1(t)-3.8(ogether)-333.1(i)1.9(n)-336.8(a)-332.9(single)-332.9(n)-1(egati)-3.8(v)4.6(e)-338.6(f)2.7(eed-)]TJ -22.6882 -1.195 TD .0116 Tc [(back)-239.6(loop.)-233.5(I)-2.5(n)-233.9(t)2.4(he)-235.6(absence)-235.6(o)-.5(f)-235.8(g)-.5(alactose,)-239.2(Gal3)5.1(/80)5.1(p)-239.6(binds)-235.1(th)]TJ 23.3256 0 TD .0112 Tc [(e)-236(R)0(eceptor)-236.2(\(R\),)-239.6(thus)-235.5(inhibitin)4.7(g)-240(its)-235.5(t)2(ranscriptional)]TJ -23.3256 -1.2007 TD .0114 Tc [(activity)-285.3(o)-.7(f)-292.9(G)1(al4p.)-284.9(T)-.6(he)-292.8(presence)-292.8(of)-292.9(g)4.9(a)-2.5(lactose)-292.8(c)3.2(auses)-292.2(t)]TJ 21.9086 0 TD .0104 Tc [(he)-293.7(re)-3.5(le)-3.5(as)-2.9(e)-293.8(o)3.9(f)-293.9(G)0(a)-3.5(l)1.2(4p)-292(and)-292(c)-3.5(on)]TJ 11.6087 0 TD .0106 Tc [(sequential)-288.8(a)-3.3(ct)-4.3(ivat)-4.3(ion)-291.8(o)4.1(f)]TJ -33.5173 -1.2007 TD .0121 Tc [(GAL3)-404.1(and)-404.1(G)1.7(AL8)5.6(0)-409.8(tr)3.7(ans)4.5(c)-1.8(r)3.7(i)-2.8(p)5.6(t)-2.8(ion.)-403.7(Thu)5.6(s)-1.2(,)-403.7(n)0(ewly)-404.1(pro)5.6(d)-.1(uce)3.9(d)-409.8(Ga)3.9(l3/80)5.6(p)-409.8(c)3.9(l)-2.8(o)5.6(s)-1.2(es)-405.3(the)-405.9(f)3.7(eed)5.6(bac)3.9(k)-409.8(towar)3.7(d)-.1(s)-405.3(G)1.7(al4p)]TJ T* .0116 Tc [(in)5.1(activation.)-284.7(Startin)5.1(g)-285.1(from)-288.6(Smidtas’)-281.4(simplied)-285.1(m)-4.1(o)5.1(d)]TJ 21.3965 0 TD .0118 Tc [(el,)-284.5(K)1.4(ulk)5.3(a)-2.1(rni)-287.6(e)3.6(t)-287.6(a)3.6(l.)-284.5(\(201)5.3(0\))-286.9(have)-286.7(proposed)-284.9(an)-284.9(extend)5.3(ed)]TJ -21.3965 -1.2007 TD .0104 Tc [(m)-5.3(o)-1.8(del,)-399.7(by)-400.1(includi)-4.5(n)-1.7(g)-394.4(f)2(urther)-396.4(m)-5.3(o)-1.7(lecular)-396.4(r)2(eacti)-4.5(ons)-401.3(a)2.2(nd,)]TJ 22.8988 0 TD .0122 Tc [(hen)5.7(ce,)-392.2(more)-394.4(state)-394.4(v).1(a)4(r)-1.9(iables)-393.8(\()3.8(F).8(ig.)-397.9(2).1(c)4(\))-1.9(.)-392.2(H)1.8(oweve)4(r)-1.9(,)]TJ -22.8988 -1.2007 TD .011 Tc [(t)-3.9(h)4.5(eir)-424.2(m)-4.7(odel)-425(inherits)-429.1(the)-424(s)3.4(i)-3.9(m)1(plication)-422.2(r)-3.1(egarding)]TJ 20.9697 0 TD .0115 Tc [(t)-3.4(h)-.6(e)-423.5(s)3.9(i)-3.4(n)5(gl)-3.4(e)-423.5(n)-.7(egative)-423.5(f)-2.6(eedback)-421.8(loop)-421.8(of)-423.7(Gal3/80p.)-421.4(O)1.1(ur)]TJ -20.9697 -1.2007 TD .0125 Tc [(mod)6(e)-1.4(l)-269.9(\()4.1(Fig)6(.)-272.4(2d)6(\))-274.8(i)3.3(ncludes)-268.3(m)2.5(ore)-268.9(s)4.9(tate)]TJ 14.9661 0 TD [(va)4.2(riab)5.9(le)4.2(s,)-266.8(since)-269(w)2(e)-274.7(h)5.9(ave)-269(a)-1.5(lso)-267.2(t)3.2(ake)4.2(n)-272.9(into)-272.9(a)4.2(cco)5.9(unt)-270(the)-269(G)-3.7(a)4.2(l)3.2(2p-)4(me)4.2(diated)]TJ -14.9661 -1.2007 TD .0115 Tc [(uptake)-400.8(of)-401(g)5(a)-2.4(lactose)-400.8(a)-2.4(nd)-399(the)-400.8(f)-2.6(ormatio)5(n)-404.7(of)-401(Gal3/80)5(p)]TJ 22.1192 0 TD .012 Tc [(and)-404.2(G)1.6(al4/80)5.5(p)-404.2(c)3.8(omplexes)-399.7(fro)5.5(m)-402(Gal3p,)-398.1(Gal4)5.5(p,)-398.1(and)]TJ -22.1192 -1.195 TD .0129 Tc [(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 [(In)-327.9(the)-325.5(next)-326.3(sect)-10.6(ion,)-324.1(we)-325.9(will)-328.2(introdu)-7.2(ce)-329.5(two)-327.7(theoretic)-11.1(al)-324.7(tools)-329.2(to)-323(inve)-7.6(stigate)-331.4(the)-325.5(prope)-7.6(rties)-327.3(of)-327.9(a)-326.9(dynamic)-9.5(al)]TJ -1.0015 -1.2007 TD [(no)-7.2(nlinear)-340.8(quadratic)-338.4(syst)-8.2(em)-336.9(in)-334.3(the)-336.9(general)-339.8(form)-340.6(\(eq.)-336.5(5\).)]TJ /F2 1 Tf 10.959 0 0 10.959 126.8787 153.7511 Tm [(4.)-501.9(STRUCTUR)5.9(AL)-333.5(MULTISTABILITY)-331.9(AND)-334.3(DA)-333.2(OF)-332.9(NONLINE)6.4(AR)]TJ 9.26 -1.0915 TD [(QUADRATIC)-331.7(SYSTEMS)]TJ /F6 1 Tf -14.0762 -1.6347 TD [(4.1.)-502(Multistabili)8.4(ty)-337.7(analysis:)-330(CRNT)]TJ /F1 1 Tf 9.9626 0 0 9.9626 84.0755 105.959 Tm .0096 Tc 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[(86)-331.6(63)]TJ /F13 1 Tf 2.3331 0 TD (:)Tj /F1 1 Tf .2731 0 TD [(86)-337.3(1)]TJ /F13 1 Tf 1.838 0 TD (:)Tj /F1 1 Tf .2731 0 TD .3308 Tc (01)Tj /F13 1 Tf 1.3316 0 TD 0 Tc (:)Tj /F1 1 Tf .2731 0 TD .3308 Tc (01)Tj /F13 1 Tf 1.3316 0 TD 0 Tc (:)Tj /F1 1 Tf .2731 0 TD [(12)-337.3(8)]TJ /F13 1 Tf 1.838 0 TD (:)Tj /F1 1 Tf .2731 0 TD [(64)-331.6(21)]TJ /F13 1 Tf 2.3331 0 TD (:)Tj /F1 1 Tf .2731 0 TD [(91)-337.3(1)]TJ /F13 1 Tf 1.838 0 TD (:)Tj /F1 1 Tf .2675 0 TD (0)Tj /F8 1 Tf .5008 0 TD (])Tj /F6 1 Tf 6.9738 0 0 6.9738 357.6188 322.9794 Tm (T)Tj /F8 1 Tf 9.9626 0 0 9.9626 365.896 318.5007 Tm ([)Tj /F18 1 Tf .3244 0 TD (l)Tj /F6 1 Tf .552 0 TD (M)Tj /F8 1 Tf .8707 0 TD (])Tj /F1 1 Tf .3244 0 TD (‚)Tj /F6 1 Tf -22.2956 -1.6503 TD (x)Tj 6.9738 0 0 6.9738 168.8881 300.5291 Tm (e)Tj /F1 1 Tf 4.9813 0 0 4.9813 172.0062 299.5086 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 177.1653 302.0598 Tm (¼)Tj /F8 1 Tf .9389 0 TD ([)Tj /F1 1 Tf .3244 0 TD (126)Tj /F13 1 Tf 1.5023 0 TD (:)Tj /F1 1 Tf .2731 0 TD [(01)-331.6(12)-7.2(6)]TJ /F13 1 Tf 2.8396 0 TD (:)Tj /F1 1 Tf .2675 0 TD [(01)-337.3(6)]TJ /F13 1 Tf 1.838 0 TD (:)Tj /F1 1 Tf .2731 0 TD [(67)-331.6(2)]TJ /F13 1 Tf 1.8324 0 TD (:)Tj /F1 1 Tf .2731 0 TD [(25)-337.3(1)]TJ /F13 1 Tf 1.838 0 TD (:)Tj /F1 1 Tf .2675 0 TD [(12)-337.3(7)]TJ /F13 1 Tf 1.838 0 TD (:)Tj /F1 1 Tf .2731 0 TD [(39)-331.6(62)]TJ /F13 1 Tf 2.3331 0 TD (:)Tj /F1 1 Tf .2731 0 TD [(86)-337.3(2)]TJ /F13 1 Tf 1.838 0 TD (:)Tj /F1 1 Tf .2675 0 TD (25)Tj /F8 1 Tf 1.0072 0 TD (])Tj /F6 1 Tf 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 [(Wi)21.6(t)13.5(h)-171.5(t)13.5(h)0(e)25.1(s)0(e)-163.8(v)0(a)25.1(l)13.5(ue)25.1(s)-178.4(o)16.3(f)-179.1(t)13.5(h)16.3(e)-179(k)16.3(i)0(n)24.2(e)0(t)22.4(i)13.5(c)-173.3(p)0(a)25.1(r)14.3(am)21.6(e)14.5(t)13.5(er)23.2(s)15.1(,)-176.8(w)12.4(e)-179(h)16.3(a)0(v)25.1(e)-179(r)14.3(u)16.3(n)]TJ /F6 1 Tf 21.755 0 TD -.0137 Tc [(in)-190.9(silic)-13.7(o)]TJ /F1 1 Tf 3.2322 0 TD -.0143 Tc [(ex)-14.3(p)12.6(e)-14.3(r)8.9(i)-.8(men)-14.3(t)9.9(s)-187(t)-.8(o)-191.5(f)0(u)-14.3(r)10.6(th)-14.3(e)10.8(r)-193.4(va)-14.3(l)8.1(i)-.8(da)-14.3(t)8.1(e)-187.6(th)-14.3(e)-177(c)-14.3(a)9.1(p)-14.3(a)10.8(b)-14.3(i)9.9(lity)]TJ -25.9887 -1.2007 TD 0 Tc [(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 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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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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 [(co)-14.7(n)12.2(c)-14.7(e)8.7(n)-14.7(t)9.5(r)-.4(a)-14.7(t)7.7(ion)-197.6(o)-14.7(f)-183.2(o)-14.7(n)12.2(e)-199.4(s)-14.7(p)11(e)-14.7(c)8.7(ies)-14.7(,)-187.8(to)-197.6(ch)-14.7(e)10.4(c)-14.7(k)-183(w)-14.7(h)8.3(e)-14.7(t)7.7(h)1.6(e)-14.7(r)-185(th)-14.7(i)9.5(s)-198.8(pe)-14.7(r)8.5(t)-1.2(ur)-14.7(b)10.2(a)-14.7(t)7.7(i)-1.2(on)-197.6(le)-14.7(a)8.6(d)-14.7(s)-182.4(t)-14.7(h)9.5(e)-199.4(sy)-14.7(s)11(t)-1.2(e)-14.7(m)-186.6(to)-197.6(a)-199.4(d)1.6(i)-14.7(f)7.5(fer)-14.7(e)8.5(n)-14.7(t)-184(eq)-14.7(u)6.5(ilibr)-14.7(i)7.5(um)-201.1(po)-14.7(i)9.5(n)1.6(t.)]TJ 1.0015 -1.2007 TD 0 Tc 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[(ac)17.7(ti)15.7(ve)-333.4(t)13.5(o)-342.2(sw)16.1(it)15.7(ch)-327.7(to)-334.3(th)18.5(e)-344(h)0(i)18.5(g)0(h)-331.6(e)0(q)19.4(u)0(i)18.5(l)0(i)15.7(b)0(r)19.3(i)0(u)18.5(m)-340(co)13.8(nd)21.2(it)15.7(io)18.5(n;)-328.6(on)-331.6(th)12.8(e)-338.3(c)0(o)13.8(n)0(t)18.5(r)0(a)17.5(r)0(y)19.3(,)-341.8(t)13.5(h)0(e)-333.4(i)0(n)18.5(i)0(t)15.7(i)0(a)16.7(l)-339.3(co)19.4(nc)13.8(en)19.4(tr)16.5(at)16.7(io)18.5(n)-342.2(o)0(f)-327.9(i)0(n)18.5(t)0(e)16.7(r)0(n)19.3(a)0(l)16.7(i)0(z)16.7(e)0(d)]TJ 0 -1.195 TD [(ga)19.4(la)16.7(ct)16.7(os)20(e)-264.3(s)0(t)17.3(r)0(o)19.3(n)0(g)15.5(l)0(y)-254.7(a)0(f)17.5(f)0(e)17.5(c)0(t)16.7(s)-258(th)18.5(e)-264.3(r)0(e)17.5(s)0(p)14.4(o)0(n)21.2(s)0(e)-254.9(o)0(f)-253.9(t)0(h)18.5(e)-264.3(sy)20(st)17.3(em)15.9(.)-262.1(I)0(n)19.3(d)0(e)13.8(e)0(d)19.4(,)-262.1(Fi)19.3(gu)15.5(re)-255.7(3b)-251.9(de)19.4(mo)17.7(ns)14.4(tr)22.2(at)16.7(es)-254.9(th)18.5(at)-256.5(th)18.5(e)-264.3(r)0(e)17.5(s)0(p)20(o)0(n)15.5(s)0(e)-254.9(o)0(f)-253.9(t)13.5(he)]TJ 0 -1.2007 TD [(sy)20(st)17.3(em)-234.5(is)-233.1(bi)18.5(st)17.3(ab)19.4(le)-233.7(si)17.3(nc)13.8(e)-241.6(t)0(h)18.5(e)-241.6(tr)16.5(aj)16.7(ec)17.7(to)18.5(ri)16.5(es)-232.1(fu)19.3(nn)15.5(el)-233.7(in)18.5(to)-231.9(ei)16.7(th)18.5(er)-232.9(on)15.5(e)-241.6(o)0(f)-231.1(t)0(h)18.5(e)-247.2(t)13.5(w)0(o)-238.8(s)0(t)23(e)0(a)12(d)0(y)-229.2(s)0(t)17.3(a)0(t)16.7(e)0(s)18.3(,)-245.1(de)19.4(pe)19.4(nd)15.5(in)18.5(g)-245.5(o)0(n)-229.1(t)0(h)18.5(e)-241.6(in)12.8(i)13.5(t)0(i)15.7(a)0(l)]TJ T* [(va)19.4(lu)18.5(e)-275.7(o)0(f)-259.6(t)0(h)18.5(e)-270(st)17.3(at)16.7(e)-270(v)0(a)13.8(r)0(i)16.5(a)0(b)19.4(l)0(e)16.7(s)0(,)-258.4(t)0(h)18.5(u)0(s)-264.5(f)0(e)17.5(a)0(t)16.7(u)0(r)19.3(i)0(n)18.5(g)-273.9(a)-270(p)0(e)19.4(r)0(s)18.1(i)0(s)17.3(t)0(e)16.7(n)0(t)-260.4(m)0(e)15.9(m)0(o)17.7(r)0(y)-265.3(o)0(f)-259.6(t)0(h)18.5(e)-275.7(pa)19.4(st)-261.6(hi)18.5(st)17.3(or)19.3(y)-273.9(o)0(f)-259.6(t)0(h)18.5(e)-270(sy)14.4(st)17.3(em)15.9(.)]TJ /F6 1 Tf 10.959 0 0 10.959 107.6031 560.0692 Tm [(5.2.)-496.9(Characterization)-331.1(of)-331.2(the)-334.3(DA)]TJ /F1 1 Tf 9.9626 0 0 9.9626 117.5811 542.1542 Tm [(In)-390.5(the)-399.5(previous)-395.1(sect)-10.6(ion,)-392.4(we)-394.2(have)-399.3(establ)-9.2(ished)-396.5(that)-397.3(the)-393.8(propos)-7.7(ed)-396(model)-393.2(can)-398.5(exhib)-8.4(it)-388.3(tw)-8.2(o)-387.7(disti)-7.6(nct)-393.8(steady)]TJ -1.0015 -1.2007 TD [(states.)-283.9(Here,)-286.1(we)-280.4(want)-279(to)-277.4(char)-8.6(acterize)-284.3(the)-280(DA)-282.5(of)-276.6(each)-281.6(of)-282.3(the)-280(equilibrium)-288.5(points,)-279.1(appl)-7.6(ying)-279(the)-280(analysi)-9.9(s)-275.1(result)]TJ T* [(devised)-342.9(in)-334.3(Amato)-340.2(et)-336.1(al.)-336.5(\(2007\))-338.6(and)-334.1(recalled)-345.1(in)-334.3(Section)-338(4.2.)]TJ 1.0015 -1.2007 TD [(Note)-347.3(that,)-346.5(in)-345.7(princi)-8.2(ple,)-343(o)-6.5(n)0(e)-344.7(could)-349.8(try)-342.8(to)-345.7(compu)-9.1(te)-341.8(the)-348.3(DAs)-347.1(thro)-7.8(ugh)-343.7(numeri)-8.9(cal)-344.4(exper)-9.4(iments,)-347(varyi)-10.3(ng)-343(the)]TJ -1.0015 -1.2007 TD [(initial)-322.5(concentrat)-10.9(ion)-318(of)-316.5(each)-315.7(species)-323.1(and)-317.1(simul)-8.4(ating)-318.4(the)-319.8(system)-322.3(response)-321.3(to)-317.3(check)-322.2(which)-319.6(steady)-319.4(state)-321.4(each)]TJ T* [(traject)-9.6(ory)-374.2(conver)-10.1(ges)-375.2(to.)-374.6(Howeve)-10.3(r,)-373(it)-376.9(is)-375.4(clear)-378.1(that)-380.2(this)-374(method)-382.5(can)-375.7(be)-378.9(successf)-11.3(ul)-374.2(only)-375.7(for)-376.1(very)-376.7(low-or)-9.5(der)]TJ T* [(system)-9.3(s,)-315.3(becau)-9.2(se)-317.5(the)-319.8(numb)-6.6(er)-318.3(of)-316.5(simul)-8.4(ations)-320.4(increas)-10.9(es)-317.5(com)-7.6(binatoria)-9.3(lly)-315.1(wi)-8.2(th)-317.3(the)-319.8(number)-324.8(of)-316.5(state)-321.4(variabl)-10.7(es.)]TJ 0 -1.195 TD [(Moreover)-9.9(,)-324.7(the)-331.2(com)-7.6(putational)-335.2(appro)-7.6(ach)-330.2(can)-330.2(only)-330.2(be)-333.4(based)-332.9(on)-325.9(a)-332.6(griddin)-7.1(g)-325.1(o)0(f)-327.9(the)-331.2(state)-332.8(space)-10.4(,)-324.7(thus)-331.4(general)-9.7(ly)]TJ 0 -1.2007 TD [(yielding)-340.5(very)-336.9(rough)-335.8(resu)-8(lts.)]TJ 1.0015 -1.2007 TD [(Note)-398.5(that)-397.3(the)-399.5(two)-395.9(equi)-7.6(librium)-400.4(points)]TJ /F6 1 Tf 15.7116 0 TD (x)Tj 7.4718 0 0 6.641 278.5889 432.907 Tm (e)Tj /F1 1 Tf .4477 0 TD (1)Tj 9.9626 0 0 9.9626 285.6755 434.5511 Tm (,)Tj /F6 1 Tf .6487 0 TD (x)Tj 7.4718 0 0 6.641 296.5605 432.907 Tm (e)Tj /F1 1 Tf .4553 0 TD (2)Tj /F19 1 Tf 9.9626 0 0 9.9626 305.3479 434.5511 Tm (s)Tj /F1 1 Tf 1.1666 0 TD [(0;)-396.9(theref)-9.2(ore,)-399.1(we)-399.9(have)-399.3(used)-398.7(two)-395.9(change)-9.9(s)-394.6(o)0(f)-396.2(variabl)-10.7(es,)]TJ -21.0152 -1.2007 TD [(before)-444.6(com)-7.6(puting)-442.6(each)-446.6(DA)-441.9(estimat)-10.5(e,)-441.1(as)-442.7(describ)-9.2(ed)-441.5(in)-436.8(Amat)-9.4(o)-438.9(e)0(t)-444.2(al.)-438.9(\(2007\))-8.5(.)-438.6(Then,)-443.2(we)-445.4(have)-444.8(dened)-445.5(the)]TJ T* [(polytope)-7.7(s)-235.3(surr)-8.2(ounding)-241.4(each)-241.7(point)-242.6(and)-237.4(have)-245.6(applied)-242.1(the)-240.2(condi)-8.4(tions)-238.2(of)-236.8(Th)-7(eorem)-240.5(3)-239.8(t)0(o)-237.6(solve)-242.9(Problem)-242.2(2)-239.8(for)-239.6(each)]TJ T* [(polytope)-7.7(.)-262.1(I)0(n)-259.6(order)-265.6(to)-266.1(nd)-263.3(the)-262.9(best)-264.9(possibl)-7.5(e)-258.6(est)-8(imates)-268.8(of)-259.6(the)-262.9(DAs,)-267.8(we)-263.3(have)-268.4(adopted)-267.7(a)-264.3(trial)-266.2(and)-260.2(err)-8(or)-259.6(strat)-8.6(egy,)]TJ T* 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/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 (¼)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 (þ)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 (4‚80)Tj /F7 1 Tf 9.9626 0 0 9.9626 271.729 661.0959 Tm (þ)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 (4‚80)Tj /F7 1 Tf 9.9626 0 0 9.9626 181.3039 644.655 Tm (¼)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 (4‚80)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 (4‚80)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 (þ)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 (4‚80)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 (¼)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 (4‚80)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 (¼)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 (¼)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(Kulkarni’s)-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 (þ)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 (þ)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 (þ)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 (Ð)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 (þ)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 (Ð)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 (þ)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 (Ð)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 (þ)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 (þ)Tj /F6 1 Tf .9389 0 TD (Gal)Tj /F7 1 Tf 1.7811 0 TD (Ð)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 (þ)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 (þ)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 (Ð)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(228–232.)]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(2119–2123.)]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(1822–1827.)]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(1176–1182.)]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(910–925.)]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(1526–1546.)]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(28–40.)]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 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