## Colloquium: “Clustering and Stability of Cyclic Solutions in the Cell Division Cycle of Yeast”

Marshall University Math Colloquium

March 4, 2015

Gregory Moses

*Ohio University*

**Abstract**

It has long been observed that in a large, well-mixed yeast culture (i.e. a bioreactor), yeast autonomous oscillations (such as dissolved oxygen percentages) are correlated with bud index, but only recently have researchers (biological or mathematical) attempted to analyze the cause of this correlation. They proposed a signaling model whereby a concentration of cells in one part of the cell division cycle might influence cells in other parts of the cycle through diffusible chemical products. We briefly introduce the model, then present an overview of work we have done analyzing the existence, stability and instability of periodic orbits under varying types of feedback. This is joint work with Nathan Breitsch.