Qualitative Analysis of Reaction-Diffusion Systems Modelling Coupled Unmyelinated Nerve Axons

GRINDROD, P.; SLEEMAN, B. D.

doi:10.1093/imammb/1.3.289

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Qualitative Analysis of Reaction-Diffusion Systems Modelling Coupled Unmyelinated Nerve Axons

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Abstract

A reaction-diffusion system based on FitzHugh-Nagumo dynamics is used to model the interactions between several neighbouring unmyelinated nerve fibres. A generalization of the idea of contracting blocks is used to establish global existence and stability results.

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Qualitative Analysis of Reaction-Diffusion Systems Modelling Coupled Unmyelinated Nerve Axons

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Qualitative Analysis of Reaction-Diffusion Systems Modelling Coupled Unmyelinated Nerve Axons

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