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A branching-process model for the evolution of transposable elements incorporating selection.

C J Basten1, M E Moody

  • 1Program in Genetics and Cell Biology, Washington State University, Pullman 99164-4234.

Journal of Mathematical Biology
|January 1, 1991
PubMed
Summary
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This study models the evolution of transposable genetic elements in prokaryotes. We analyzed how selection, transposition, and deletion influence the copy number distribution of these mobile DNA sequences.

Area of Science:

  • Evolutionary biology
  • Genetics
  • Mathematical modeling

Background:

  • Transposable genetic elements (TGEs) are mobile DNA sequences that can alter genome structure.
  • Understanding TGE dynamics is crucial for prokaryotic evolution and genome stability.

Purpose of the Study:

  • To develop a general mathematical model for TGE evolution in prokaryotes.
  • To analyze the equilibrium distribution of TGE copy numbers under various evolutionary pressures.

Main Methods:

  • Formulation of a general mathematical model.
  • Numerical calculation of equilibrium distributions for specific transposition and selection patterns.
  • Quantification of selection based on offspring number as a function of copy number.

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Main Results:

  • Characterization of equilibrium copy number distributions influenced by selection, transposition, and deletion.
  • Demonstration of copy number-dependent selection's impact on TGE dynamics.
  • Equilibrium distributions calculated for unregulated and copy number-dependent transposition.

Conclusions:

  • The model provides insights into the evolutionary fate of transposable genetic elements in prokaryotes.
  • Selection, acting as a non-increasing function of copy number, shapes TGE distribution.
  • This framework allows for the analysis of diverse evolutionary scenarios impacting TGEs.