Investigations of the Fitzhugh-Nagumo neuron model

dc.contributor.authorLobb, Michelle
dc.date.accessioned2019-05-02T19:14:37Z
dc.date.available2019-05-02T19:14:37Z
dc.date.issued2019
dc.descriptionCreative Arts and Research Symposiumen_US
dc.description.abstractNeurons are cells in the body that transmit information to the brain and the body by amplifying an incoming stimulus (electrical charge input) and transmitting it to neighboring neurons, then turning off to be ready for the nextstimulus. These cells also have fast and slow mechanisms to open ion channels in response to electrical charges. Voltage‐gated channels exist for each kind of ion, which open and close in response to voltage difference. If the electrical excitation reaches a sufficiently high level, called an action potential, the neuron fires and transmits the excitations to other neurons. In this work we are modeling neuron action by a nonlinear system of differential equations and investigating properties of our model analytically and numerically to demonstrate its behavior. This work will help individuals studying neuroscience, biology, and/or psychology correlate neural behavior with mathematical models.en_US
dc.description.sponsorshipFaculty Sponsor: Dr. Ellina Grigorievaen_US
dc.identifier.urihttps://hdl.handle.net/11274/11285
dc.language.isoen_USen_US
dc.titleInvestigations of the Fitzhugh-Nagumo neuron modelen_US
dc.typePosteren_US

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