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Interplay between morphology and competition in two-dimensional colony expansion.


ABSTRACT: In growing populations, the fate of mutations depends on their competitive ability against the ancestor and their ability to colonize new territory. Here we present a theory that integrates both aspects of mutant fitness by coupling the classic description of one-dimensional competition (Fisher equation) to the minimal model of front shape (Kardar-Parisi-Zhang equation). We solve these equations and find three regimes, which are controlled solely by the expansion rates, solely by the competitive abilities, or by both. Collectively, our results provide a simple framework to study spatial competition.

SUBMITTER: Swartz DW 

PROVIDER: S-EPMC11149782 | biostudies-literature | 2023 Sep

REPOSITORIES: biostudies-literature

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Interplay between morphology and competition in two-dimensional colony expansion.

Swartz Daniel W DW   Lee Hyunseok H   Kardar Mehran M   Korolev Kirill S KS  

Physical review. E 20230901 3


In growing populations, the fate of mutations depends on their competitive ability against the ancestor and their ability to colonize new territory. Here we present a theory that integrates both aspects of mutant fitness by coupling the classic description of one-dimensional competition (Fisher equation) to the minimal model of front shape (Kardar-Parisi-Zhang equation). We solve these equations and find three regimes, which are controlled solely by the expansion rates, solely by the competitive  ...[more]

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