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Title: The Hodgkin-Huxley and simpler models. Bursting behaviour
Author: Pairó López, Alexandra
Director/Tutor: Vieiro Yanes, Arturo
Keywords: Teoria de la bifurcació
Treballs de fi de grau
Sistemes dinàmics diferenciables
Bifurcation theory
Bachelor's theses
Differentiable dynamical systems
Issue Date: 24-Jan-2022
Abstract: [en] The main goal of this work is to understand the best model for describing neuronal activity, the Hodgkin-Huxley model, doing simulations of it and studying simpler models that are able to display some of the Hodgkin-Huxley activity. We are going to study FitzHugh-Nagumo, Morris-Lecar and Hindmarsh-Rose model. In addition, since we want to study neuron activity via dynamical systems, we also study bursting behaviour. We want to understand how different kinds of bifurcations in dynamical systems affect neuron activity, studying the bifurcations that take part in such activity.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Arturo Vieiro Yanes
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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