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Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold

Morales Morales, José Eduardo

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Título:
Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
Autor: Morales Morales, José Eduardo
Assuntos: 37 Dynamical systems and ergodic theory ; 37N Applications ; Classificació AMS ; Computational Neuroscience ; Differentiable dynamical systems ; Dynamic Threshold ; Equacions diferencials i integrals ; Integrate and Fire ; Matemàtiques i estadística ; Non-Smooth, Dynamical System ; Resonate and Fire ; Sistemes dinàmics ; Sistemes dinàmics diferenciables ; Teoria ergòdica ; Àrees temàtiques de la UPC
Descrição: The aim of this work is to introduce and study simple neuron models with a dynamic threshold: The integrate and fire with dynamic threshold and a resonate and fire with dynamic threshold. The last model is a new model raised from an initial study of the integrate and fire with a dynamic threshold. The characteristics of the new model are studied from a mathematical point of view specially concerning the dynamical systems theory of the non-smooth systems. . In this project we will study analytically and computationally integrate-and-fire models with dynamic threshold, reproducing behaviors observed in the real nervoussystems, using techniques from non-smooth systems. Our goal is to describe the types of spiking patterns that can generate in response to steady and periodic current stimulation
Editor: Universitat Politècnica de Catalunya
Data de criação/publicação: 2013
Idioma: Inglês

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