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A reaction-diffusion coupled system with multiple steady states

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Seshadri,  M.S.
Department of Physical Chemistry, Max Planck Institute of Biophysics, Max Planck Society;

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Citation

Seshadri, M. (1974). A reaction-diffusion coupled system with multiple steady states. Journal of Theoretical Biology, 47(2), 351-365. doi:10.1016/0022-5193(74)90203-3.


Cite as: http://hdl.handle.net/21.11116/0000-0009-158F-F
Abstract
A nonlinear constitutive relation between the chemical affinity and the chemical reaction rate is given. It is demonstrated that the steady state reaction rate profiles exhibit spatial oscillations within the membrane or the reaction column and that there exists a multiplicity of such solutions as well. Both the features are seen to be immediate consequences of the nonlinearity, since neither appears in the treatment of facilitated diffusion by Katchalsky & Oster (1969).