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Oxygen evolution in photosynthesis: simple analytical solution for the Kok model
Authors:Shinkarev Vladimir P
Affiliation:Department of Biochemistry, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA. vshinkar@uiuc.edu
Abstract:
Keywords:a, b, c miss, hit, and double hit in the Kok model   n, number of the flashes   PQ, plastoquinone   PSII, Photosystem II   pi(n), is the probability to find the oxygen evolving complex of PSII in the Si state (i=0,1,2,3) after the nth flash (n=0,1,2, …)     boldFont"  >p(n), (p0(n), p1(n), p2(n), and p3(n)), the row vector of probabilities of S-states after nth flash   Q, {qij}, matrix of transition probabilities, each element of which, qij (i, j=1, 2, 3, 4), is the probability for flash-induced transfer of the oxygen-evolving complex from state Si−1 to state Sj−1     mmlsi5"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0006349503744889&  _mathId=si5.gif&  _pii=S0006349503744889&  _issn=00063495&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=d17b60a0dfda3800e50da8d5e0fd7249')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  16"   border="  0"   style="  vertical-align:bottom"   width="  22"   alt="  View the MathML source"   title="  View the MathML source"   src="  http://ars.els-cdn.com/content/image/1-s2.0-S0006349503744889-si5.gif"  >, , semiquinone form of secondary acceptor quinone   r, [(a-c)2+b2]1/2   Si, S-states of oxygen-evolving complex   s0, p0(0), s1=p1(0), s2=p2(0), s3=p3(0), initial conditions for S-states   sb=, s0-s1+s2-s3   sij, si-sj where i and j are congruent modulo 4 indexes   V-, and W-cycles, correlated cycles of transitions of donor and acceptor sides of PSII   U, unitary matrix, transforming matrix Q to diagonal form   Y(n), oxygen yield after nth flash   λ1λ2, λ3, and λ4, eigenvalues of matrix Q   Λ, is the diagonal matrix with eigenvalues λ1, λ2, λ3, and λ4 of matrix Q   φ, arcsin(b/r)   ρ,   mmlsi6"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0006349503744889&  _mathId=si6.gif&  _pii=S0006349503744889&  _issn=00063495&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=c86d4c11e6834a79e1b15c12b8bbc756')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  23"   border="  0"   style="  vertical-align:bottom"   width="  88"   alt="  View the MathML source"   title="  View the MathML source"   src="  http://ars.els-cdn.com/content/image/1-s2.0-S0006349503744889-si6.gif"  >   θk, arcsin[(sk-sk+2)/ρ]
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