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https://hdl.handle.net/2445/186707| 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 Neurones Bifurcation theory Bachelor's theses Differentiable dynamical systems Neurons |
| 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 |
| URI: | https://hdl.handle.net/2445/186707 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| tfg_pairo_lopez_alexandra.pdf | Memòria | 1.29 MB | Adobe PDF | View/Open |
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