Scaling in a continuous time model for biological aging

Details Scaling in a continuous time model for biological aging Scaling in a continuous time model for biological aging

2000-10-02

arxiv.org/abs/cond-mat/0010029v1

Physics

Condensed Matter

10 pages, 6 figures

Scientific paper

10.1142/S0129183100001024

In this paper we consider a generalization to the asexual version of the Penna model for biological aging, where we take a continuous time limit. The genotype associated to each individual is an interval of real numbers over which Dirac $\delta$--functions are defined, representing genetically programmed diseases to be switched on at defined ages of the individual life. We discuss two different continuous limits for the evolution equation and two different mutation protocols, to be implemented during reproduction. Exact stationary solutions are obtained and scaling properties are discussed.

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