NONLINEAR DYNAMICS OF CELL CYCLES WITH STOCHASTIC MATHEMATICAL MODELS

摘要: Cell cycles are fundamental components of all living organisms and their systematic studies extend our knowledge about the interconnection between regulatory, metabolic, signaling networks, therefore open new opportunities for ultimate efficient control cellular processes disease treatments, as well a wide variety biomedical biotechnological applications. In study cell cycles, nonlinear phenomena play paramount role, in particular those cases where dynamics is focus attention. Quantification this challenging task due to range parameters that require estimations presence many stochastic effects. Based on originally deterministic model, paper we develop hierarchy models allow us describe accounting special events cycles. First, model takes into account fluctuations relative concentrations proteins during Such induced by varying rates and/or themselves. As such may be responsible qualitative changes cell, accounts effect cycle. Finally, analyze numerically effects cycle constructing phase portraits based newly developed carry out parametric sensitivity analysis order identify an control. The results computational experiments demonstrate metabolic gene regulatory networks can qualitatively influence