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The statistical dynamics of recurrent biological events (1992)

Lasota, Andrzej ; Mackey, Michael C. ; Tyrcha, Joanna

Springer

Journal of mathematical biology 30 (1992), S. 775-800

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ISSN: 1432-1416

Keywords: Statistical dynamics ; Asymptotic periodicity ; Asymptotic stability ; Cell cycle models ; Neuron interspike interval statistics

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: Abstract In this paper we develop a general modeling framework within which many models for systems which produce events at irregular times through a combination of probabilistic and deterministic dynamics can be comprehended. We state and prove new sufficient conditions for the global asymptotic behaviour of the density evolution in these systems, and apply our results to many previously published models for the cell division cycle. In addition, we develop a new interpretation for the statistics of action potential production in excitable cells.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00176455

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