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Mathematical Modelling of the Portion of the Brain that Governs Circadian Rhythm

Clyde Martin
Texas Tech University

Thursday, March 7, 2002
102 Bradley Hall, 4 pm
Tea 3:30 pm, Math Lounge

Abstract: The area of the brain that governs Circadian Rhythm is a small set of neurons (16000) in the brain stem. The neurons are considered in the bulk of the literature to be identical but the network properties are unknown. A model consisting of 16000 coupled van der Pol differential equations is used as the model. This model follows the work of Kronour (retired) at Harvard University. Various network topologies were considered and using various concepts of nearest neighbor it was found that the model worked well in terms of entrainment and in terms of phase lock. This model and some of its implications will be discussed in the seminar.

This talk will be accessible to undergraduates.