Math-Biology Seminar | Dynamics of Two Unequal Clusters, Dec. 5

Kiattisak Prathom

The Mathematical Biology and Dynamical Systems Seminar presents Kiattisak Prathom discussing “Dynamics of Two Unequal Clusters” on Tuesday, Dec. 5, from 3:05 to 4 p.m. in Morton 218.

Prathom is a Ph.D. student in Mathematics.

Abstract: This work grew out of the manuscript “Cells in Temporally Clustered Solutions Prefer to be Equidistributed” by Jan Rombouts and Todd Young. This investigation focuses on the dynamics of the yeast cell cycle when there are two temporal clusters of unequal size. The model assumes that time takes values on the circle [0,1] where 1~0, and there are two special regions that correspond to segments of the cell cycle: A signaling region S=[0,s) and a responsive region R=[r,1), during which cells send and receive feedback, respectively. We investigated dynamics of two unequal temporal clusters by considering a Poincare map. In this talk it will be shown that if r-s <= 1/2, the Poincare map has a unique attracting fixed point; however, if r-s > 1/2, the Poincare map has an attracting interval of fixed points.