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Related Experiment Video

Updated: May 14, 2026

Mutagenesis and Functional Selection Protocols for Directed Evolution of Proteins in E. coli

Mutagenesis and Functional Selection Protocols for Directed Evolution of Proteins in E. coli

Published on: March 16, 2011

Radial Domany-Kinzel models with mutation and selection.

Maxim O Lavrentovich¹, Kirill S Korolev, David R Nelson

¹Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA. mlavrent@physics.harvard.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 16, 2013

Summary

This summary is machine-generated.

Spatial structure impacts evolution. Radial expansion, unlike linear, shows "inflation" that amplifies selection, boosting advantageous mutant survival and altering evolutionary dynamics.

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Area of Science:

Evolutionary biology
Statistical physics
Mathematical modeling

Background:

Evolutionary dynamics are shaped by spatial structure, genetic drift, mutation, and selection.
Range expansions, particularly radial ones, present unique challenges compared to linear expansions.
Directed percolation models offer a framework for understanding these dynamics.

Purpose of the Study:

To investigate the effects of spatial structure on evolutionary dynamics during range expansions.
To compare linear and radial expansion models, focusing on the impact of frontier "inflation".
To analyze survival probabilities, spatial correlations, and population dynamics under various evolutionary pressures.

Main Methods:

Developed a generalized, off-lattice Domany-Kinzel (DK) model for radial expansions.
Employed simulations and analytical techniques to study evolutionary processes.
Investigated survival probability, spatial correlations, and population dynamics.

Main Results:

Radial expansion "inflation" leads to causal disconnection of colony portions, amplifying selection over drift.
Survival probability of advantageous mutants increases significantly in radial expansions.
Directed percolation transitions are modified by inflation, exhibiting finite-size effects and novel scaling.

Conclusions:

Radial range expansions exhibit distinct evolutionary dynamics compared to linear expansions due to frontier inflation.
The amplified effect of selection in radial expansions has implications for the evolution of new traits.
Understanding these dynamics is crucial for modeling colonization and evolution in various spatial contexts.