Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
SIMULATION OF CELLULAR COMMUNITIES MECHANISMS
Mahruy Saidalieva
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2006 年 64 巻 2 号 p. 469-478

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The age model of cellular communities is considered. Delay-differential equations and their model systems for cellular communities are constructed and quantitatively analyzed. It is determined that there are the following states: rest, stationary state, Poincar´e type limit cycles, dynamic chaos and “black hole” effect. Regularities for the origin of dynamic chaos, “r-windows” regions and prediction problems for the determination of destructive changes - “black hole” effect, are investigated. The results of the developed approaches are applied to the quantitative analysis of cellular communities and the delay-differential equations of animal and plant organisms are considered.

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© 2006 International Society for Mathematical Sciences
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