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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 38 (1999), S. 241-261 
    ISSN: 1432-1416
    Keywords: Key words: Cell division ; Stability ; Gamma distribution ; Measure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract.  This paper couples a general d-dimensional (d arbitrary) model for the intracellular biochemistry of a generic cell with a probabilistic division hypothesis and examines the consequence of division for stability of cell function and structure. We show rather surprisingly that cell division is capable of giving rise to a stable population of cells with respect to function and structure even if, in the absence of cell division, the underlying biochemical dynamics are unstable. In the context of a simple example, our stability condition suggests that rapid cell proliferation plays a stabilizing role for cellular populations.
    Type of Medium: Electronic Resource
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