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Hardy-Weinberg Principle

Hardy-Weinberg Principle

Diploid organisms have two alleles of each gene, one from each parent, in their somatic cells. Therefore, each individual contributes two alleles to the gene pool of the population. The gene pool of a population is the sum of every allele of all genes within that population and has some degree of variation. Genetic variation is typically expressed as a relative frequency, which is the percentage of the total population that has a given allele, genotype or phenotype.

Asexual Reproduction

Asexual Reproduction

Asexual reproduction allows plants to reproduce without growing flowers, attracting pollinators, or dispersing seeds. Offspring are genetically identical to the parent and produced without the fusion of male and female gametes.

Inclusive Fitness

Inclusive Fitness

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Mutation, Gene Flow, and Genetic Drift

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Genetics of Speciation

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This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
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Determination of the Mating Efficiency of Haploids in Saccharomyces cerevisiae

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On the relation between the Eigen model and the asexual Wright-Fisher model.

¹Departamento de Física, Universidad de Burgos, Burgos, Spain. fmusso@ubu.es

Bulletin of Mathematical Biology

|June 10, 2011

Summary

We unified the Eigen and Wright-Fisher models, revealing shared concepts like error thresholds and quasispecies applicable to population genetics. This allows calculating error thresholds for both sexual and asexual diploid models.

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Area of Science:

Evolutionary biology
Theoretical population genetics
Mathematical modeling

Background:

The Eigen model and the asexual Wright-Fisher model are foundational in evolutionary theory.
Understanding their relationship is crucial for advancing population genetics.
Key concepts like error threshold and quasispecies require further exploration across different models.

Purpose of the Study:

To unify the Eigen model and the asexual Wright-Fisher model under a single stochastic framework.
To elucidate the mathematical similarities and differences between these models.
To derive and compare the error threshold for sexual and asexual diploid populations.

Main Methods:

Development of a single overarching stochastic model.
Mathematical analysis to identify Eigen and Wright-Fisher models as limit cases.
Application of the diploid mutation-selection equation with single peak fitness approximation.
Comparative analysis of sexual and asexual diploid models.

Main Results:

The Eigen and asexual Wright-Fisher models are shown to be limit cases of a unified stochastic model.
The concepts of error threshold and quasispecies are demonstrated to be universally applicable.
The error threshold for sexual diploids was derived and compared to that of asexual diploids.

Conclusions:

A unified stochastic model provides a comprehensive framework for understanding evolutionary dynamics.
Error threshold and quasispecies concepts are robust across different population genetics models.
The derived error thresholds offer insights into the evolutionary stability of sexual and asexual diploid populations.