Analysing neural firing with the Fitz-Hugh Nagumo model

Simple item page
dc.contributor.advisorHamza, Abdelhaq
dc.contributor.authorKhiari, Ahmed
dc.date.accessioned2023-03-01T16:43:02Z
dc.date.available2023-03-01T16:43:02Z
dc.date.issued2015
dc.date.updated2020-06-12T00:00:00Z
dc.description.abstractAlan Lloyd Hodgkin and Andrew Huxlley's pioneering work in the early 1950s revolutionized the fields of biophysics and neuroscience. Earning them a Nobel Prize in Medicine Physiology in 1963, their Hodgkin-Huxley (H-H) model was the first model offering an apt mathematical and quantitative description of neural action potential propagation. Its physiological relevance notwithstanding, what stands as the arguably most profound result of their work is the unveiling of the innate dynamical nature of neurons. Since then, numerous efforts have gone into simplifying the H-H model and creating novel dynamical models of neural firing. One of the most prominent of such models is the 2D FitzHugh-Nagumo (FHN) model. Given its simplicity, the FHN model fails to simulate a rich set of neural firing behaviour. This thesis aims to extend on the FHN model by using it as a basis for a 3D model capable of simulating a richer set of neural behaviours. To that end, tools of dynamical systems analysis, —such as linear stability and bifurcation analysis— are used to study the dynamical workings of the 3D model, and how they pertain to the different neural behaviours exhibited.
dc.description.copyright© Ahmed Yahia Khiari, 2016
dc.description.noteM.Sc. University of New Brunswick, Department of Physics, 2016.
dc.formattext/xml
dc.format.extentxii, 102 pages
dc.format.mediumelectronic
dc.identifier.oclc#1158017756
dc.identifier.otherThesis 9718
dc.identifier.urihttps://unbscholar.lib.unb.ca/handle/1882/14376
dc.language.isoen_CA
dc.publisherUniversity of New Brunswick
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.disciplinePhysics
dc.subject.lcshBiophysics -- Research.
dc.subject.lcshNeurophysiology -- Mathematical models.
dc.subject.lcshNobel Prizes -- 1960-1970.
dc.subject.lcshHodgkin, A. L. (Alan Lloyd)
dc.titleAnalysing neural firing with the Fitz-Hugh Nagumo model
dc.typemaster thesis
thesis.degree.disciplinePhysics
thesis.degree.fullnameMaster of Science
thesis.degree.grantorUniversity of New Brunswick
thesis.degree.levelmasters
thesis.degree.nameM.Sc.

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
item.pdf
Size:
9.25 MB
Format:
Adobe Portable Document Format
Download

Collections

Open Theses & Dissertations