title: Mathematical analysis of a modular network coordinating the cell cycle and apoptosis.
abstract: The cell-division cycle and apoptosis are key cellular processes deregulated during carcinogenesis. Recent work of Aguda and Algar suggests a modular organization of regulatory molecular pathways linking the cellular processes of division and apoptosis. We carry out a detailed mathematical analysis of the Aguda-Algar model to unravel the dynamics implicit in the model structure. In addition, we further explore model parameters that control the bifurcations corresponding to the aforementioned cellular state tran- sitions. We show that this simple model predicts interesting behavior, such as hysteretic oscillations and different conditions in which apoptosis is triggered.
authors.affiliation: Mathematical Biosciences Institute, Ohio State University, 125 W. 18th Avenue, Columbus, OH 43210. gcraciun@mbi.ohio-state.edu.
authors.forename: Gheorghe
authors.initials: G
authors.lastname: Craciun
authors.forename: Baltazar
authors.initials: B
authors.lastname: Aguda
authors.forename: Avner
authors.initials: A
authors.lastname: Friedman