Show simple item record

dc.contributor.advisor Clark, John W., Jr.
dc.creatorCanavier, Carmen Castro
dc.date.accessioned 2009-06-04T00:14:21Z
dc.date.available 2009-06-04T00:14:21Z
dc.date.issued 1989
dc.identifier.urihttps://hdl.handle.net/1911/13348
dc.description.abstract Chaotic regimes have been observed experimentally in neurons as well as in deterministic neuronal models. The bursting R15 cell in the abdominal ganglion of Aplysia has been the subject of extensive mathematical modeling. The model of Plant and Kim is capable of exhibiting both bursting and beating modes of electrical activity. We demonstrate (1) that a chaotic regime exists between the bursting and beating modes of the model, and (2) that the model approaches chaos from both modes by a period doubling cascade. We propose an original model of R15 which differs from previous models in several ways: the inclusion of a calcium ion balance, the underlying assumption that the calcium-dependent inactivation of a calcium current rather than the calcium-dependent activation of a potassium current mediates bursting activity, and the incorporation of experimental data to the extent possible. Preliminary results support the contention that a chaotic regime is intermediate between the beating and bursting modes. (Abstract shortened with permission of author.)
dc.format.extent 87 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectNeurosciences
Electronics
Electrical engineering
Biophysics
Biology
Engineering
dc.title Bursting, beating, and chaotic modes in mathematical models of the R15 cell in Aplysia
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Biology
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Science
dc.identifier.citation Canavier, Carmen Castro. "Bursting, beating, and chaotic modes in mathematical models of the R15 cell in Aplysia." (1989) Master’s Thesis, Rice University. https://hdl.handle.net/1911/13348.


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record