Mathematical Biosciences Institute, Ohio State University, 125 W. 18th Avenue, Columbus, OH 43210.
Math Biosci Eng. 2005 Jul;2(3):473-85. doi: 10.3934/mbe.2005.2.473.
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.
细胞分裂周期和细胞凋亡是癌变过程中细胞调控失常的两个关键过程。Aguda 和 Algar 的最新研究工作表明，细胞分裂和凋亡的分子调控途径存在模块化组织。我们对 Aguda-Algar 模型进行了详细的数学分析，以揭示模型结构中隐含的动力学。此外，我们还进一步研究了控制上述细胞状态转变的模型参数。我们表明，这个简单的模型可以预测出一些有趣的行为，例如滞后振荡和不同的细胞凋亡触发条件。
