Spatio-temporal averaging for a class of hybrid systems and application to conductance-based neuron models

Alexandre Genadot 1, 2
1 CQFD - Quality control and dynamic reliability
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : We obtain a limit theorem endowed with quantitative estimates for a general class of infinite dimensional hybrid processes with intrinsically two different time scales and including a population. As an application, we consider a large class of conductance-based neuron models describing the nerve impulse propagation along a neural cell at the scales of ion channels.
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https://hal.archives-ouvertes.fr/hal-01414107
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Submitted on : Monday, December 12, 2016 - 9:51:57 AM
Last modification on : Friday, December 14, 2018 - 10:22:05 AM

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Alexandre Genadot. Spatio-temporal averaging for a class of hybrid systems and application to conductance-based neuron models. Nonlinear Analysis: Hybrid Systems, Elsevier, 2016, 22, pp.176-190. ⟨10.1016/j.nahs.2016.03.003⟩. ⟨hal-01414107⟩

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