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This paper develops mathematical models describing the evolutionary dynamics of both asexually and sexually reproducing populations of diploid unicellular organisms. We consider two forms of genome organization. In one case, we assume that…

Populations and Evolution · Quantitative Biology 2009-07-17 Maya Kleiman , Emmanuel Tannenbaum

This paper develops simplified mathematical models describing the mutation-selection balance for the asexual and sexual replication pathways in {\it Saccharomyces cerevisiae}. We assume diploid genomes consisting of two chromosomes, and we…

Populations and Evolution · Quantitative Biology 2007-12-21 Emmanuel Tannenbaum

This paper develops a simplified model for sexual replication within the quasispecies formalism. We assume that the genomes of the replicating organisms are two-chromosomed and diploid, and that the fitness is determined by the number of…

Populations and Evolution · Quantitative Biology 2007-05-23 Emmanuel Tannenbaum

This paper studies the mutation-selection balance in three simplified replication models. The first model considers a population of organisms replicating via the production of asexual spores. The second model considers a sexually…

Populations and Evolution · Quantitative Biology 2009-11-13 Emmanuel Tannenbaum

This paper develops models describing asexual and sexual replication in sporulating organisms. Replication via sporulation is the replication strategy for all multicellular life, and may even be observed in unicellular life (such as with…

Populations and Evolution · Quantitative Biology 2009-11-13 Bohyun Lee , Emmanuel Tannenbaum

Sex in higher diploids carries a two-fold cost of males that should reduce its fitness relative to cloning and result in its extinction. Instead, sex is widespread and it is clonal species that face early obsolescence. One possible reason…

Populations and Evolution · Quantitative Biology 2013-04-24 David Green , Chris Mason

Using a bit string model, we show that asexual reproduction for diploids is more efficient than for haploids: it improves genetic material producing new individuals with less deleterious mutations. We also see that in a system where…

Statistical Mechanics · Physics 2009-11-07 Armando Ticona , Paulo Murilo C. de Oliveira

Maintenance of sexual reproduction and genetic recombination imposes physiological costs when compared to parthenogenic reproduction, most prominently: for maintaining the corresponding (molecular) machinery, for finding a mating partner,…

Populations and Evolution · Quantitative Biology 2016-05-24 Dmitri Parkhomchuk , Alice C. McHardy , Alexey Shadrin

The prevalence of sexual reproduction ("sex") in eukaryotes is an enigma of evolutionary biology. Sex increases genetic variation only tells its long-term superiority in essence. The accumulation of harmful mutations causes an immediate and…

Populations and Evolution · Quantitative Biology 2013-08-01 Xiang-Ping Jia , Hong Sun

Using a bit-string model of evolution, we find a successful route to diploidy and sex in simple organisms. Allowing the sexually reproducing diploid individuals to also perform mitosis, as they do in a haploid-diploid cycle, leads to the…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , Volkan Sevim , Ayse Erzan

We study the large population limit of a stochastic individual-based model which describes the time evolution of a diploid hermaphroditic population reproducing according to Mendelian rules. In [Neukirch, Bovier, 2016] it is proved that…

Probability · Mathematics 2018-01-23 Anton Bovier , Loren Coquille , Rebecca Neukirch

It has recently been suggested that evolution exploits a form of fitness landscape smoothing within eukaryotic sex due to the haploid-diploid cycle. This short paper presents a simple modification to the standard evolutionary computing…

Neural and Evolutionary Computing · Computer Science 2019-03-29 Larry Bull

We study the genetic behaviour of a population formed by haploid individuals which reproduce asexually. The genetic information for each individual is stored along a bit-string (or chromosome) with L bits, where 0-bits represent the…

Populations and Evolution · Quantitative Biology 2007-05-23 Paulo Murilo Castro de Oliveira

It has been a puzzling question why some organisms reproduce sexually. Fisher and Muller hypothesized that reproducing by sex can speed up the evolution. They explained that in the sexual reproduction, recombination can combine beneficial…

Probability · Mathematics 2021-04-19 Nantawat Udomchatpitak

We consider a population of haploid individuals reproducing sexually, i.e. for which the genome of each individual is a random mixture of the genome of its two parents. We assume that initially one individual carries a mutation at one…

Probability · Mathematics 2022-10-06 Camille Coron , Yves Le Jan

Computer experiments that mirror the evolutionary dynamics of sexual and asexual organisms as they occur in nature, tested features proposed to explain the evolution of sexual recombination. Results show that this evolution is better…

Populations and Evolution · Quantitative Biology 2018-04-18 Klaus Jaffe

We define a general class of models representing natural selection between two alleles. The population size and spatial structure are arbitrary, but fixed. Genetics can be haploid, diploid, or otherwise; reproduction can be asexual or…

Populations and Evolution · Quantitative Biology 2021-02-05 Benjamin Allen , Alex McAvoy

We have analyzed the relations between the mutational pressure, recombination and selection pressure in the bit-string model with sexual reproduction. For specific sets of these parameters we have found three phase transitions with one…

Populations and Evolution · Quantitative Biology 2007-05-23 D. Stauffer , S. Cebrat

When beneficial mutations are rare, they accumulate by a series of selective sweeps. But when they are common, many beneficial mutations will occur before any can fix, so there will be many different mutant lineages in the population…

Populations and Evolution · Quantitative Biology 2007-05-23 Michael M. Desai , Daniel S. Fisher

We consider a model of asexually reproducing individuals with random mutations and selection. The rate of mutations is proportional to the population size, $N$. The mutations may be either beneficial or deleterious. In a paper by Yu,…

Probability · Mathematics 2015-08-20 Michael Kelly
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