Effects of Diffusion and Topological Factors on the Efficiency of Energy Coupling in Chloroplasts with Heterogeneous Partitioning of Protein Complexes in Thylakoids of Grana and Stroma. A Mathematical Model

A. V. Vershubskii, V. I. Priklonskii, and A. N. Tikhonov^*

Faculty of Physics, Lomonosov Moscow State University, Moscow 119992, Russia; E-mail: an_tikhonov@newmail.ru

^* To whom correspondence should be addressed.

Received February 9, 2004; Revision received April 23, 2004

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In this work, we studied theoretically the effects of diffusion restrictions and topological factors that could influence the efficiency of energy coupling in the heterogeneous lamellar system of higher plant chloroplasts. Our computations are based on a mathematical model for electron and proton transport in chloroplasts coupled to ATP synthesis in chloroplasts that takes into account the nonuniform distribution of electron transport and ATP synthase complexes in the thylakoids of grana and stroma. Numerical experiments allowed the lateral profiles of pH in the thylakoid lumen and in the narrow gap between grana thylakoids to be simulated under different metabolic conditions (in the state of photosynthetic control and under conditions of photophosphorylation). This model also provided an opportunity to simulate the effects of steric constraints (the extent of appression of thylakoids in grana) on the rates of non-cyclic electron transport and ATP synthesis. This model demonstrated that there might be two mechanisms of regulation of electron and proton transport in chloroplasts: 1) slowing down of non-cyclic electron transport due to a decrease in the intra-thylakoid pH, and 2) retardation of plastoquinone reduction due to slow diffusion of protons inside the narrow gap between the thylakoids of grana. Numerical experiments for model systems that differ with respect to the arrangement of thylakoids in grana allowed the effects of osmolarity on the photophosphorylation rate in chloroplasts to be explained.

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KEY WORDS: chloroplasts, electron transport, proton transport, photophosphorylation, lateral heterogeneity, mathematical modeling

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