Show simple item record

dc.contributorGuillamon Grabolosa, Antoni
dc.contributorLázaro Ochoa, José Tomás
dc.contributor.authorArqué Pérez, Ferran
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.description.abstractIn the study of the dynamics of neuronal networks, it is interesting to see how the interaction between neurons can elicit different behaviours in each individual one. Moreover, this can lead to the population exhibiting collective phenomena that is not intrinsic to a single cell, such as synchronization. In this project, we work with a large-scale network and a firing-rate model of quadratic integrate-and-fire (QIF) neurons. After studying the dynamics of the QIF model and computing its phase response curve (PRC), we propose an algorithm to describe the population through the PRCs. Our method is able to replicate the same dynamics we observe with the aforementioned models and it also serves us to gain more insight into the transmission of pulses and to explain how a network can maintain a state of synchronized firing.
dc.publisherUniversitat Politècnica de Catalunya
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.otherMathematical neuroscience
dc.subject.otherQuadratic integrate-and-fire
dc.subject.otherNeuronal network
dc.subject.otherPhase response curve
dc.titlePhase-responsiveness transmission in a network of quadratic integrate-and-fire neurons
dc.typeBachelor thesis
dc.subject.amsClassificació AMS::92 Biology and other natural sciences::92B Mathematical biology in general
dc.rights.accessOpen Access
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística

Files in this item


This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-ShareAlike 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-ShareAlike 3.0 Spain