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Nonlinear Dynamics Near the Cell Membrane of Chara Corallina

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Plyusnina, T.YU., Lavrova, A.I., Price, Colin ORCID: https://orcid.org/0000-0002-2173-9897, 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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Official URL: http://www.worldscientific.com/doi/abs/10.1142/S02...

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
Additional Information:	Staff and students at the University of Worcester can access the full-text via the UW online library search. External users should check availability with their local library or Interlibrary Requests Service.
Uncontrolled Discrete 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:	College of Business, Psychology and Sport > Worcester Business School
Related URLs:	Publisher http://libguides.worc.ac.uk/resources/li...
Depositing User:	Tanya Buchanan
Date Deposited:	19 Aug 2016 10:28
Last Modified:	17 Jun 2020 17:13
URI:	https://eprints.worc.ac.uk/id/eprint/4824

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