Article ID Journal Published Year Pages File Type
10427212 Nonlinear Analysis: Theory, Methods & Applications 2005 15 Pages PDF
Abstract
In this paper, we study the mathematical properties of a family of models of Eukaryotic cell cycle, which extend the qualitative model proposed by Tyson [Proc. Natl. Acad. Sci. 88 (1991) 7328-7332]. By means of some recent results in the theory of Lienard's systems, conditions for the uniqueness of the limit cycle and on the global asymptotic stability of the unique equilibrium (idest of the arrest of the cell division) are given.
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Physical Sciences and Engineering Engineering Engineering (General)
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