Journal of mathematical biologyNonlinear DynamicsModelsNeurologicalMathematical ConceptsNerve Net
Strongly nonlinear age-structured equation, time-elapsed model and large delays.
Benoît Perthame, Clément Rieutord, Delphine Salort
Published: 202510.1007/s00285-025-02294-x
Abstract
The time-elapsed model for neural assemblies is a nonlinear age-structured equation where the renewal term describes the network activity and influences the discharge rate, possibly with a delay due to the length of connections. We first solve a long…
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