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Related Concept Videos

Background and Environment Affect Phenotype02:27

Background and Environment Affect Phenotype

Although the genetic makeup of an organism plays a major role in determining the phenotype, there are also several environmental factors, such as temperature, oxygen availability, presence of mutagens, that can alter an organism’s phenotype.
An example of how genetic background affects phenotype can be seen in horses. The Extension gene in horses is responsible for their coat color. A wild-type gene (EE) produces black pigment in the coat, while a mutant gene (ee) produces red pigment. A...
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When more than one gene is responsible for a given phenotype, the trait is considered polygenic. Human height is a polygenic trait. Studies have uncovered hundreds of loci that influence height, and there are believed to be many more. Due to the high number of genes involved, as well as environmental and nutritional factors, height varies significantly within a given population. The distribution of height forms a bell-shaped curve, with relatively few individuals in the population at the...
Polygenic Traits01:18

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Pleiotropy

Pleiotropy is the phenomenon in which a single gene impacts multiple, seemingly unrelated phenotypic traits. For example, defects in the SOX10 gene cause Waardenburg Syndrome Type 4, or WS4, which can cause defects in pigmentation, hearing impairments, and an absence of intestinal contractions necessary for elimination. This diversity of phenotypes results from the expression pattern of SOX10 in early embryonic and fetal development. SOX10 is found in neural crest cells that form melanocytes,...
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Conditions Affecting Social Space in Drosophila melanogaster
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Published on: November 5, 2015

Phenotype spaces.

Frédéric Mynard1, Gavin J Seal

  • 1Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460-8093, USA. fmynard@georgiasouthern.edu

Journal of Mathematical Biology
|March 31, 2009
PubMed
Summary

This study revisits the topological viewpoint on phenotype spaces, proposing a quantified model. It finds that while probability can be topologized, continuity inadequately captures this information, leading to non-topological models.

Area of Science:

  • Theoretical biology
  • Mathematical biology
  • Evolutionary developmental biology

Background:

  • The topological viewpoint offers a framework for understanding phenotype spaces.
  • Previous models may not fully capture the probabilistic nature of phenotypic variation.

Purpose of the Study:

  • To revisit and quantify the topological perspective on phenotype spaces.
  • To investigate the adequacy of continuity in representing probabilistic information within these spaces.
  • To propose and analyze alternative models for phenotype space representation.

Main Methods:

  • Revisiting topological frameworks for phenotype spaces.
  • Developing a quantified version of the topological viewpoint.
  • Analyzing the encoding of probabilistic information.

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  • Evaluating the concept of continuity in this context.
  • Proposing and examining alternative mathematical models.
  • Main Results:

    • Probabilistic information can be encoded in a topological-like manner.
    • The concept of continuity is insufficient for adequately reflecting this probabilistic information.
    • Alternative models were proposed, but they exhibit fundamentally non-topological characteristics due to map behavior.

    Conclusions:

    • Standard topological concepts like continuity may not fully capture the complexities of phenotype space dynamics.
    • New mathematical frameworks are needed to accurately model the probabilistic and topological aspects of phenotypes.
    • The proposed alternative models highlight fundamental departures from traditional topological approaches.