Abstract
The presence of membrane potentials in electrophysiological systems is shown to be capable of profoundly influencing the course of biomorphogenesis. We focus on the problem of self organization in the egg of Fucus and develop a simple model that has many of the qualitative features of this system.
A theory of the effects of electric fields on spatio-temporal patterning is developed. The induction of qualitatively new types of waves upon the imposition of an applied field is shown. The theory is applied to model systems including the FKN kinetics.
To develop a rigorous foundation for these theories a multiscale formalism is developed in terms of the (small) ratio of the Debye length to the reaction-diffusion length. The theory naturally incorporates the important charge neutrality coupling of the ionic fluxes that is often neglected or incorrectly accounted for.
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Larter, R., Schmidt, S., Ortoleva, P. (1979). Electrical Effects in Nonlinear Physico-Chemical Systems: Field Chemical Wave Interaction and Bio-Self Electrophoresis. In: Haken, H. (eds) Pattern Formation by Dynamic Systems and Pattern Recognition. Springer Series in Synergetics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67480-8_14
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DOI: https://doi.org/10.1007/978-3-642-67480-8_14
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