Article
Survival probabilities at spherical frontiers.
Theoretical population biology - 1 Jun 2015
Lavrentovich Maxim O, Nelson David R
Abstract excerpt
Motivated by tumor growth and spatial population genetics, we study the interplay between evolutionary and spatial dynamics at the surfaces of three-dimensional, spherical range expansions. We consider range expansion radii that grow with an arbitrary power-law in time: R(t) = R0(1 + t/t(∗))Θ, where Θ is a growth exponent, R0 is the initial radius, and t(∗) is a characteristic time for the growth, to be affected...
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