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Mathematical Biosciences and Engineering

2005, Volume 2, Issue 3: 473-485. doi: 10.3934/mbe.2005.2.473
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Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis

  • 1.
    Mathematical Biosciences Institute, Ohio State University, 125 W. 18th Avenue, Columbus, OH 43210
  • 2.
    Systems Biology Group, Bioinformatics Institute, 30 Biopolis Street, #07-01 Matrix, Singapore 138671
  • Received: 01 January 2005 Accepted: 29 June 2018 Published: 01 August 2005

  • MSC : 92C37.

  • 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.

    Citation: Gheorghe Craciun, Baltazar Aguda, Avner Friedman. Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis[J]. Mathematical Biosciences and Engineering, 2005, 2(3): 473-485. doi: 10.3934/mbe.2005.2.473

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  • 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.


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  • © 2005 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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