Spatial suppression of error catastrophe in a growing pattern

Shoichi Toyabe; Masaki Sano

doi:10.1016/j.physd.2005.02.011

Spatial suppression of error catastrophe in a growing pattern

Shoichi Toyabe, Masaki Sano

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Error catastrophe is studied in a growing pattern with cellular automata. It is found that, although the critical error threshold Pc for error catastrophe decreases monotonically with decreasing diffusion coefficient D, Pc remains at a finite value in the limit that D goes to 0 because particles with higher growth rate repress the growth of those with lower growth rate spatially. The possibility that the spatial structure accelerates the evolution is also discussed.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Physica D: Nonlinear Phenomena
Volume	203
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physd.2005.02.011
Publication status	Published - 2005 Apr 1
Externally published	Yes

Keywords

Cellular automata
Error catastrophe
Pattern formation
Quasispecies theory

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/j.physd.2005.02.011

Cite this

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abstract = "Error catastrophe is studied in a growing pattern with cellular automata. It is found that, although the critical error threshold Pc for error catastrophe decreases monotonically with decreasing diffusion coefficient D, Pc remains at a finite value in the limit that D goes to 0 because particles with higher growth rate repress the growth of those with lower growth rate spatially. The possibility that the spatial structure accelerates the evolution is also discussed.",

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AU - Sano, Masaki

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AB - Error catastrophe is studied in a growing pattern with cellular automata. It is found that, although the critical error threshold Pc for error catastrophe decreases monotonically with decreasing diffusion coefficient D, Pc remains at a finite value in the limit that D goes to 0 because particles with higher growth rate repress the growth of those with lower growth rate spatially. The possibility that the spatial structure accelerates the evolution is also discussed.

KW - Cellular automata

KW - Error catastrophe

KW - Pattern formation

KW - Quasispecies theory

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ER -

Spatial suppression of error catastrophe in a growing pattern

Abstract

Keywords

ASJC Scopus subject areas

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