American Institute of Mathematical Sciences

Advanced
2005, 2(3): 473-485. doi: 10.3934/mbe.2005.2.473

Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis

Gheorghe Craciun 1, , Baltazar Aguda 2, and  Avner Friedman 1,

1. 

Mathematical Biosciences Institute, Ohio State University, 125 W. 18th Avenue, Columbus, OH 43210, United States, United States
2. 

Systems Biology Group, Bioinformatics Institute, 30 Biopolis Street, #07-01 Matrix, Singapore 138671, Singapore

Received  January 2005 Revised  May 2005 Published  August 2005

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 transitions. We show that this simple model predicts interesting behavior, such as hysteretic oscillations and different conditions in which apoptosis is triggered.
Keywords: cellular processes models, apoptosis., molecular pathways, cell cycle.
Mathematics Subject Classification: 92C3.
Citation: Gheorghe Craciun, Baltazar Aguda, Avner Friedman. Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis. Mathematical Biosciences & Engineering, 2005, 2 (3) : 473-485. doi: 10.3934/mbe.2005.2.473
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