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Nonlinear Dynamics Near the Cell Membrane of Chara Corallina

Plyusnina, T.YU. and Lavrova, A.I. and Price, Colin and Riznichenko, G.YU. and Rubin, A.B. (2008) Nonlinear Dynamics Near the Cell Membrane of Chara Corallina. Journal of Biological Systems, 16 (2). pp. 197-217. ISSN Print: 0218-3390 Online: 1793-6470

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Abstract

The phenomenon of patterned distribution of pH near the cell membrane of the algae Chara corallina upon illumination is well-known. In this paper, we develop a mathematical model, based on the detailed kinetic analysis of proton fluxes across the cell membrane, to explain this phenomenon. The model yields two coupled nonlinear partial differential equations which describe the spatial dynamics of proton concentration changes and transmembrane potential generation. The experimental observation of pH pattern formation, its period and amplitude of oscillation, and also its hysteresis in response to changing illumination, are all reproduced by our model. A comparison of experimental results and predictions of our theory is made. Finally, a mechanism for pattern formation in Chara corallina is proposed.

Item Type: Article
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Uncontrolled Keywords: pH patterns, Hysteresis, cell membrane, proton transport, transmembrane potential, dissipative structures
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Q Science > QH Natural history > QH301 Biology
Divisions: Academic Departments > Worcester Business School
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Depositing User: Tanya Buchanan
Date Deposited: 19 Aug 2016 10:28
Last Modified: 19 Aug 2016 10:28
URI: https://eprints.worc.ac.uk/id/eprint/4824

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