title: Comparison principles in the analysis of reaction-diffusion systems modelling unmyelinated nerve fibres.
abstract: Comparison principles for systems of reaction-diffusion equations coupled via both the reaction and diffusion terms are considered. The techniques are motivated by models of unmyelinated nerve fibres based on FitzHugh-Nagumo dynamics. Applications to threshold phenomena and ephaptic transmission are included.
mesh_terms: D000818:Animals; D008433:Mathematics; D008959:Models, Neurological; D009412:Nerve Fibers / Q000502:physiology*; D009435:Synaptic Transmission