Optimal nuclear spin environment
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1 Optml nucler spn envronment for rdcl pr-bsed mgnetc compss Mr Procopo Thorsten Rtz UNIVERITY OF CLIFORNI, IRVINE
2 Rdcl Pr bsed Mgnetorecepton n Brds The use of mgnetc compss by mgrtory brd ws frst demonstrted for Europen robns by Wltschko nd Merkel n 966 (Wltschko nd Merkel, Verh. dt. zool. Ges. 966). The suggeston tht lght-nduced Rdcl Pr mechnsm cn ct s chemcl compss sensor for mgnetc orentton ws suggested by chulten et l. n 978 (chulten et l., Z. Phys. Chem. 978). The evdence for n mbent lght-dependent mgnetorecepton hs been shown by Wltschko et l. n 993 (Wltschko et l., Nture,993) Vson-bsed mgnetorecepton The proposl tht rdcl pr s creted photochemclly n the brd s retn by photonduced electron trnsfer recton n n mmoblzed cryptochrome proten ws proposed by Rtz et l. n the (Rtz et l, Bophys J. )
3 Photonduced rdcl pr recton scheme wth mgnetc feld dependent recton products lght D + electron trnsfer B Mgnetc nucle D + nglet Coherent nglet Trplet nterconverson drven by HF nd Zeemn ntercton D + Trplet H H Z H HF pn- electve decy rte H Z g ( B) B nglet Products H HF g M B m m I m Trplet Products gnl
4 tochstc Louvlle equton Clcultng the nglet Yeld Intl condton : snglet stte Frcton of rdcl prs n the snglet stte t ny gven tme t mount of products decyng v snglet chnnel pn ndependent decy rte
5 For mmoblzed rdcl pr to be senstve to dfferent lgnments to the nsotropc hyperfne nterctons s source of orentton nformton p g mgnetc feld, t s necessry tht the hyperfne nterctons be nsotropc. rdcl pr-fxed xs system p y ngulr senstvty ngulr dependence of the snglet yeld for one xl nsotropc hyperfne ntercton ngulr dependence of the snglet yeld for one xl nsotropc hyperfne ntercton I B g H B ) ( z y x xlty z y x
6 How does brd mke use of the ngulr dependence of one rdcl pr recton yeld? It stll remns unknown... but Mgnetorecepton s mbent lght dependent Rdcl Pr mechnsm my be relted to the vsul system We ssume tht mny RPs resde orderly n photoreceptor cells on the retn nd the recton yelds ffect the senstvty of those cells nsotropc HFIs gve ngulr dependence of MFE for one RP West Est (K Wng, E Mttern nd T Rtz, Phys. Bol, 6) Vsul pttern
7 Fctors determnng drectonl mgnetc feld senstvty Knetcs > blnced rtes re better pn correlton tme > needs to be long enough for MFE to occur Orderng > fxed RPs optml, but even frly dsordered RPs cn provde drectonl senstvty Lu et l., J. R. oc. Interfce, Hll nd Rtz, J. R. oc. Interfce, olov yov et l. Bophys. J () Nucler spn envronment: How should HFI be chosen so s to mxmze senstvty?
8 Nucler spn envronment: How should HFI be chosen so s to mxmze senstvty? We study specl clss of RP: One Rdcl hs no HFI Frst expermentl demonstrton of erth strength MFE on RP recton used fullerene, wth neglgble HFI. (Med et l. Nture 8) Behvorl experments show strong resonnce effects t free electron Lrmor frequency, observed n mgrtory brds. The presence of very wek RF feld t the Lrmor frequency dsrupts mgnetc orentton. (Rtz et l. Bophys. J. 9). Ths suggest rdcl should be free of HFI n nml compss ssumng ths s true, how should HFI on the other rdcl be rrnged?
9 One xl nsotropc HFI ) ( I B g H B z y x.3 z y x For good drectonl senstvty, the HFI strength needs to be lrge enough nd the spn-correlton tme needs to be long enough for drectonl MFE to occur. Once one s bove threshold, there s no chnge for lrger vlues, the mgnetc feld effects re the sme robust
10 One xl nsotropc HFI + one Isotropc HFI on the me Rdcl. We vry strength of sotropc HFI ) ( I I B g H so B x z y x.3 5 G z y x.3 Note: presence of strong sotropc HFI does not destroy drectonl effects! Note: presence of strong sotropc HFI does not destroy drectonl effects! smple rguments, bsed on strength of nterctons only cn be msledng
11 Two xl nsotropc HFI on the sme rdcl: 6 RP rndomly generted, pck 3 best Δφ, 3 worst Δφ, compre trengths of HFI should not be the sme, but not too dfferent. The rto between the strengths should be roughly wthn one order of mgntude. Lrger xltes re better xes should be collner
12 tory seems to hold for RP wth more HFI n the sme rdcl HFI: 6 RP 3 HFI: 6 RP 5 HFI: 5 RP (prelmnry) rrngement of HFI s frly forgvng: there re mny rrngements tht gve drectonl senstvty > % It s lmost hrder to fnd rrngements where there s very low drectonl senstvty! Not shown here: collner xes, dfferent strengths re somewht better n ll cses.
13 Optml nucler spn envronment Conclusons ssumng tht one Rdcl should be free of HFI How should HFI be chosen on the other rdcl so s to mxmze senstvty? trengths of HFI should not be the sme, but strengths should be roughly wthn one order of mgntude Lrger xltes re better Presence of other sotropc HFI s not very dsruptve HFI xes should be collner
14 Bologcl Relzton? Typcl bologcl HFI re due to N, H, C-H3 wth comprble spred of strengths Flvn mtches the optml rdcl well (Cntoles et l. Chem. Phys. 3) Relzed n flvn, the ctve group of Cryptochromes. Cry hs been suggested s the most promsng photo-mgnetoreceptor molecule (Rtz et l, Bophys J. ) Rdcl prtner wth no HFI? uggeston of flvn Rectve Oxygen peces (superoxde?) RP (Rtz et l. 9, Bophys J.) If we fnd tht the bologcl relzton of RP-bsed mgnetorecepton s possble, we hve n exmple of coherent quntum process n bology
15 Thnk you for the ttenton cknowledgements: Thorsten Rtz Gregory Zcrell Phlsse Todd lexnder Covln Jen Perre Bouly Ferdnndo Bersn Humn Fronter cence Foundton Reserch Corporton Mrco Polo Fellowshp (Unversty of Bologn, Itly) UNIVERITY OF CLIFORNI, IRVINE
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