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We have used the sexual Penna ageing model to show that the relation between dominance and recessiveness could be a force which optimizes the genome size. While the possibility of complementation of the damaged allele by its functional…

Populations and Evolution · Quantitative Biology 2007-05-23 Diana Garncarz , Stanislaw Cebrat , Dietrich Stauffer , Klaus Blindert

We build upon the recent steady-state Penna model solution, Phys.Rev.Lett. 89, 288103 (2002), to study the population dynamics within the Penna model. We show, that any perturbation to the population can be broken into a collection of modes…

Populations and Evolution · Quantitative Biology 2007-05-23 J. B. Coe , Y. Mao

We introduce a square lattice into the Penna bit-string model for biological ageing and study the evolution of the spatial distribution of the population considering different strategies of child-care. Two of the strategies are related to…

Statistical Mechanics · Physics 2007-05-23 A. O. Sousa , S. Moss de Oliveira

A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age-specific demographic schedules. The…

Populations and Evolution · Quantitative Biology 2007-05-23 David Steinsaltz , Steven N. Evans , Kenneth W. Wachter

We study the dynamics of an age-structured population in which the life expectancy of an offspring may be mutated with respect to that of its parent. When advantageous mutation is favored, the average fitness of the population grows…

Statistical Mechanics · Physics 2009-10-31 W. Hwang , P. L. Krapivsky , S. Redner

We consider a stochastic model for an evolving population. We show that in the presence of genotype extinctions the population dies out for a low mutation probability but may survive for a high mutation probability. This turns upside down…

Populations and Evolution · Quantitative Biology 2014-10-24 Rinaldo B. Schinazi

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…

Condensed Matter · Physics 2009-10-31 R. M. C. de Almeida , G. L. Thomas

We use a simple model for biological ageing to study the mortality of the population, obtaining a good agreement with the Gompertz law. We also simulate the same model on a square lattice, considering different strategies of parental care.…

Statistical Mechanics · Physics 2009-11-07 A. O. Sousa , S. Moss de Oliveira , D. Stauffer

We consider a stationary continuous model of random size population with non-neutral mutations using a continuous state branching process with non-homogeneous immigration. We assume the type (or mutation) of the immigrants is random given…

Probability · Mathematics 2013-07-26 Hongwei Bi , Jean-François Delmas

A deterministic model of an age-structured population with genetics analogous to the discrete time Penna model of genetic evolution is constructed on the basis of the Lotka-Volterra scheme. It is shown that if, as in the Penna model,…

Populations and Evolution · Quantitative Biology 2007-05-23 Miroslaw R. Dudek

Several animal species are considered to exhibit what is called negligible senescence, i.e. they do not show signs of functional decline or any increase of mortality with age, and do not have measurable reductions in reproductive capacity…

Molecular Networks · Quantitative Biology 2015-10-15 Valeria Kogan , Ivan Molodtcov , Leonid I. Menshikov , Robert J. Shmookler Reis , Peter Fedichev

We present some results of simulations of population growth and evolution, using the standard asexual Penna model, with individuals characterized by a string of bits representing a genome containing some possible mutations. After about…

Populations and Evolution · Quantitative Biology 2009-11-11 Mikolaj Sitarz , Andrzej Z. Maksymowicz

The Penna ageing model is based on mutation accumulation theory. We show that it also allows for self-organization of antagonistic pleiotropy which helps at young age at the expense of old age. This can be interpreted as emergence of…

Populations and Evolution · Quantitative Biology 2007-05-23 Stanislaw Cebrat , Dietrich Stauffer

Modifying the Redfield model of sexual reproduction and the Penna model of biological aging, we compare reproduction with and without recombination in age-structured populations. In contrast to Redfield and in agreement with Bernardes we…

We consider the accumulation of beneficial and deleterious mutations in large asexual populations. The rate of adaptation is affected by the total mutation rate, proportion of beneficial mutations and population size $N$. We show that…

Probability · Mathematics 2010-10-18 Feng Yu , Alison Etheridge , Charles Cuthbertson

New models for evolutionary processes of mutation accumulation allow hypotheses about the age-specificity of mutational effects to be translated into predictions of heterogeneous population hazard functions. We apply these models to…

Populations and Evolution · Quantitative Biology 2009-08-27 Kenneth W. Wachter , David R. Steinsaltz , Steven N. Evans

We introduce fidelity into the bit-string Penna model for biological ageing and study the advantage of this fidelity when it produces a higher survival probability of the offspring due to paternal care. We attribute a lower reproduction…

Statistical Mechanics · Physics 2009-10-31 A. O. Sousa , S. Moss de Oliveira

This review deals with computer simulation of biological ageing, particularly with the Penna model of 1995.

Populations and Evolution · Quantitative Biology 2007-06-22 D. Stauffer

This paper considers a nonlinear model for population dynamics with age structure. The fertility rate with respect to age is non constant and has the form proposed by [17]. Moreover, its multiplicative structure and the multiplicative…

General Mathematics · Mathematics 2023-12-06 Dragos-Patru Covei , Traian A. Pirvu , Catalin Sterbeti

Stochastic models of sequential mutation acquisition are widely used to quantify cancer and bacterial evolution. Across manifold scenarios, recurrent research questions are: how many cells are there with $n$ alterations, and how long will…

Populations and Evolution · Quantitative Biology 2023-07-07 Michael D. Nicholson , David Cheek , Tibor Antal