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While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.
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Related Experiment Video

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An Allele-specific Gene Expression Assay to Test the Functional Basis of Genetic Associations
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Some natural viability systems for a multiallelic locus: a theoretical study.

S Karlin1

  • 1Department of Mathematics, Stanford University, Stanford, California 94305.

Genetics
|February 1, 1981
PubMed
Summary

This study compares genetic polymorphism maintenance under structured viability versus general fitness. More structured viability models increase the likelihood of a globally stable genetic equilibrium.

Area of Science:

  • Population Genetics
  • Evolutionary Biology
  • Mathematical Biology

Background:

  • Understanding genetic polymorphism maintenance is crucial for evolutionary biology.
  • Natural selection acts through viability and fitness, influencing allele frequencies.
  • Previous models often assumed simplified or unrestricted fitness assignments.

Purpose of the Study:

  • To compare genetic polymorphism maintenance under structured viability regimes versus general fitness.
  • To analyze various natural selection models, including dominance, allelic activity, and resource-based viability.
  • To investigate genotype frequency equilibrium configurations.

Main Methods:

  • Development and analysis of generalized dominance fitness systems.
  • Application of viability matrices based on allelic activity and multilocus interactions.

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  • Modeling viability using partitioned resource/substrate variables and circulant matrices.
  • Examination of genotype frequency equilibrium properties.
  • Main Results:

    • Detailed characterization of genotype frequency equilibria for diverse viability models.
    • Demonstration of how structured viability influences polymorphism maintenance.
    • Identification of specific model types leading to stable equilibria.

    Conclusions:

    • Structured viability models enhance the probability of achieving a globally stable genetic equilibrium.
    • The findings provide insights into the evolutionary maintenance of genetic diversity.
    • This work advances theoretical frameworks for modeling natural selection.