Time evolution of the Partridge-Barton model

Time evolution of the Partridge-Barton model

The time evolution of the Partridge-Barton model in the presence of the pleiotropic constraint and deleterious somatic mutations is exactly solved for arbitrary fecundity in the context of a matricial formalism. Analytical expressions for the time dependence of the mean survival probabilities are de...

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Veröffentlicht in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2000-05, Vol.61 (5 Pt B), p.5664-5667
Hauptverfasser: Onody, R N, de Medeiros, N G
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Biological Evolution
Gene Deletion
Models, Genetic
Mutation
Probability
Time
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de Medeiros, N G
description The time evolution of the Partridge-Barton model in the presence of the pleiotropic constraint and deleterious somatic mutations is exactly solved for arbitrary fecundity in the context of a matricial formalism. Analytical expressions for the time dependence of the mean survival probabilities are derived. Using the fact that the asymptotic behavior for large time t is controlled by the largest matrix eigenvalue, we obtain the steady state values for the mean survival probabilities and the Malthusian growth exponent. The mean age of the population exhibits a t-1 power law decayment. Some Monte Carlo simulations were also performed and they corroborated our theoretical results.
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subjects Biological Evolution
Gene Deletion
Models, Genetic
Mutation
Probability
Time
title Time evolution of the Partridge-Barton model
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