Asymmetric Mutualism in Two- and Three-Dimensional Range Expansions

Abstract

Genetic drift at the frontiers of two-dimensional range expansions of microorganisms can frustrate local cooperation between different genetic variants, demixing the population into distinct sectors. In a biological context, mutualistic or antagonistic interactions will typically be asymmetric between variants. By taking into account both the asymmetry and the interaction strength, we show that the much weaker demixing in three dimensions allows for a mutualistic phase over a much wider range of asymmetric cooperative benefits, with mutualism prevailing for any positive, symmetric benefit. We also demonstrate that expansions with undulating fronts roughen dramatically at the boundaries of the mutualistic phase, with severe consequences for the population genetics along the transition lines.

9 pages, 13 figures, this version published in Phys. Rev. Lett

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• Spatial population genetics with fluid flow
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• Critical Fitness Collapse in Three-Dimensional Spatial Population Genetics
• Shape of population interfaces as an indicator of mutational instability in coexisting cell populations
• Short-Range Migration Can Alter Evolutionary Dynamics in Solid Tumors
• Fixation properties of subdivided populations with balancing selection
• Specialization at an expanding front
• Frequency-Dependent Selection at Rough Expanding Fronts
• Emergence of sector and spiral patterns from a two-species mutualistic cross-feeding model
• Geometrically Regulating Evolutionary Dynamics in Biofilms
• Random motility regulation as a generic mechanism of community formation