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When organisms require the same limited resources within an environment, they may have to compete for them. Competition is a net-negative interaction. Even if two competing individuals or populations do not interact directly, the overall fitness of both competitors is lowered as a result of not having full access to the limited resource.
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Monitoring Spatial Segregation in Surface Colonizing Microbial Populations
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Interplay between morphology and competition in two-dimensional colony expansion.

Daniel W Swartz1, Hyunseok Lee1, Mehran Kardar1

  • 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

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|October 18, 2023
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The fate of mutations in growing populations depends on expansion and competition. This study integrates Fisher and Kardar-Parisi-Zhang equations, revealing three distinct fitness regimes for spatial competition.

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Area of Science:

  • Evolutionary dynamics
  • Mathematical biology
  • Population genetics

Background:

  • Mutation fate in growing populations is determined by competitive ability and colonization.
  • Understanding spatial competition is crucial for population dynamics.

Purpose of the Study:

  • To develop a unified theory integrating mutant competitive ability and colonization for spatial competition.
  • To analyze the interplay between expansion rates and competitive fitness in population growth.

Main Methods:

  • Coupling the Fisher equation (one-dimensional competition) with the Kardar-Parisi-Zhang equation (front shape model).
  • Solving the integrated equations to identify different dynamic regimes.

Main Results:

  • Identified three distinct regimes governing mutant fate in spatial competition.
  • These regimes are controlled by expansion rates, competitive abilities, or a combination of both.

Conclusions:

  • The integrated framework provides a simplified yet comprehensive approach to studying spatial competition dynamics.
  • This model offers insights into how mutations establish and spread in expanding populations.