Final PS, Tuesday 12/13/05 How does this work?

Transcription

1 Rminr PS u as PS#, coming Tusay /5/5 PS#5, Tusay /9/5 Final PS, Tusay //5 How os his work? moling ffors Minhar an Bor, PNAS 98, (; Howar al., Phys. Rv. L. 87, 78 (; Krus, Biophys. J. 8, 68 (; Huang, Mir, an Wingrn, PNAS, 7 (. FsZ MinC Min Min Topic I Sysms Cll Biology Spaial oscillaion in. coli similar o gnic oscillaors, bu now w canno ignor h spaial imnsions biological funcion rmin h cnr of h cll, o prpar for propr cll ivision Summary of main funcions of proins polymrizs in a conracil Z-ring ha iniias spum formaion inhibis formaion of Z-ring mmbran associa proin ha rcruis minc an o mmbran jcs minc/min from mmbran ino

2 min mmbran min min min mmbran min min in wors - firs orr racions for own spcis - inhibis mmbran associaion of (MM - nhancs mmbran issociaion of (linar - nhancs mmbran associaion of (rcruimn, linar - inhibis mmbran issociaion of (MM min min min mmbran associaion of ic min wih mmbran is inhibi by min in mmbran MM aks car of singulariy as gos o zro. biological inrpraion min in mmbran spaially blocks mmbran for min similar o minc blocking FZ associaion wih mmbran - an o no iffus - an iffus 6 issociaion of mmbran min is simula by min in mmbran, afr min is jc min says in mmbran biological inrpraion min min mmbran issociaion of mmbran min is inhibi by min in MM aks car of singulariy biological inrpraion bining of min o min lowrs affiniy of min wih mmbran bu mmbran affiniy of min rmains unchang? min 7 8 5

3 9 min min mmbran min associaion of ic wih mmbran is simula by min in afr livry of o h mmbran, min ivs back in h biological inrpraion min- compl has high affiniy o mmbran sinc h iffusion of his compl osn appar in h mol i shoul b vry fas. sysm of quaions sabiliy analysis. fin fi poin (.g. numrically how_homog.m iffrn ranom iniial coniions rla o sam fi poin rsul on fi poin fin sabiliy mari (Jacobian A ( ( ( (

4 . s sabiliy of flucuaions aroun homognous soluion cos( ˆ(, ( cos( ˆ (, ( cos( ˆ(, ( cos( ˆ(, ( q q q q δ δ δ δ δ(, q q A ( ( ( ( ˆ. s sabiliy of flucuaions aroun homognous soluion 5. - rmin ignvalus of sabiliy mari, - fin ral par of ignvalus, - plo h largs as a funcion of q. (.g. how_ig.m q.5 (µm - λ π/q. µm q. (µm - λ π/q.7 µm q Ma(Ral(ignvalus /s 6 Howar al. Rsuls min

5 - ATP cycl - vrsus (projc on main iffrncs 9 7 Huang, Mir, an Wingrn, PNAS, 7 (. [ ( ] ATP AP AP AP ATP AP ATP ATP AP ATP AP [ ( ] ATP min forms polymrs in mmbran min-atp bins boh linarly an auocaalyically o min-atp in mmbran Racion only min-atp can associa wih mmbran only bins min-atp oligomrs in mmbran 8 only min--atpcompl can issocia from mmbran mmbran boun minatp compls mmbran boun minatp compls AP concnraion ic min boun o AP ATP concnraion ic min boun o ATP concnraion ic

6 Racion bins min-atp in mmbran ~ []*[min] AP AP AP ATP AP [ ( ] ATP ATP ATP AP ATP AP [ ( ] ATP Racion charging of min in from AP o ATP boun AP AP AP ATP AP [ ( ] ATP ATP ATP AP ATP AP [ ( ] ATP Racion min--atp compl isassocias from mmbran hyrolyzing ATP ~ [min] AP AP AP ATP AP [ ( ] ATP ATP ATP AP ATP AP [ ( ] ATP Sochasic racion-iffusion quaions hp//msor.sourcforg.n/

7 Comparision of racions of wo mols craion of mmbran associa min firs orr auocaalyic (linar, oligomrizaion firs orr (inhibi by mmbran, MM Huang Howar craion of mmbran associa linar wih, an ~ o min in mmbran mmbran rcruimn by Huang linar wih, an ic rcruimn by ( os no nr mmbran Howar 5 7 rmoval of mmbran associa min linar wih min ( also lavs mmbran linar wih min ( says in mmbran Huang Howar rmoval of mmbran associa linar wih min lavs mmbran oghr wih linar wih min min is no boun o min (inhibi by ic min Huang Howar 6 8

8 Wha abou sphrical clls Nissria gonorrhoa hp//bookofbacriology.n/nissria.hml min-atp oscillas, boh no ring 9 Huang an Wingrn Phys. Biol., 9-5 ( Sabiliy analysis

9 Clls always fin h long-ais