Asymptotic behaviour of neuron population models structured by elapsed-time
نویسندگان
چکیده
منابع مشابه
Dynamics of elapsed time inhomogeneous neuron network model
Models for neural networks have been proposed which describe the probability to find a neuron for which time s has elapsed since the last discharge. These are written under the form of nonlinear age-structured equation where the total network activity modulates the firing rate. Here, we consider an inhomogeneous network of networks with variability on the refractory period. We give conditions o...
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We study the dynamics of assemblies of interacting neurons. For large fully connected networks, the dynamics of the system can be described by a partial differential equation reminiscent of agestructure models used in mathematical ecology, where the ”age” of a neuron represents the time elapsed since its last discharge. The nonlinearity arises from the connectivity J of the network. We prove so...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2019
ISSN: 0951-7715,1361-6544
DOI: 10.1088/1361-6544/aaea9c