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Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
| dc.contributor | Martínez-Seara Alonso, M. Teresa |
| dc.contributor | Huguet Casades, Gemma |
| dc.contributor.author | Morales Morales, José Eduardo |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2014-01-30T09:00:20Z |
| dc.date.available | 2014-01-30T09:00:20Z |
| dc.date.issued | 2013-10 |
| dc.identifier.uri | http://hdl.handle.net/2099.1/20531 |
| dc.description.abstract | 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 |
| dc.language.iso | eng |
| dc.publisher | Universitat Politècnica de Catalunya |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
| dc.subject.lcsh | Differentiable dynamical systems |
| dc.subject.other | Computational Neuroscience |
| dc.subject.other | Non-Smooth, Dynamical System |
| dc.subject.other | Integrate and Fire |
| dc.subject.other | Resonate and Fire |
| dc.subject.other | Dynamic Threshold |
| dc.title | Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold |
| dc.type | Master thesis |
| dc.subject.lemac | Sistemes dinàmics diferenciables ; Teoria ergòdica |
| dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications |
| dc.rights.access | Open Access |
| dc.audience.educationlevel | Màster |
| dc.audience.mediator | Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística |
| dc.audience.degree | MÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010) |
