185 citations · 719 across the 8 of their papers we have counts for
10 papers
Universal principles of cell population growth follow from local contact inhibition
Gregory J. Kimmel, Sadegh Marzban, Mehdi Damaghi +4
Cancer cell populations often exhibit remarkably similar growth laws despite their heterogeneity. Explanations of universal cell population growth remain partly unresolved to this…
Evolutionary games on cycles with strong selection
Philipp M. Altrock, Arne Traulsen, Martin A. Nowak
Evolutionary games on graphs describe how strategic interactions and population structure determine evolutionary success, quantified by the probability that a single mutant takes o…
Fixation in finite populations evolving in fluctuating environments
Peter Ashcroft, Philipp M Altrock, Tobias Galla
The environment in which a population evolves can have a crucial impact on selection. We study evolutionary dynamics in finite populations of fixed size in a changing environment.…
Aspiration Dynamics of Multi-player Games in Finite Populations
Jinming Du, Bin Wu, Philipp M. Altrock +1
Studying strategy update rules in the framework of evolutionary game theory, one can differentiate between imitation processes and aspiration-driven dynamics. In the former case, i…
The mechanics of stochastic slowdown in evolutionary games
Philipp M. Altrock, Arne Traulsen, Tobias Galla
We study the stochastic dynamics of evolutionary games, and focus on the so-called `stochastic slowdown' effect, previously observed in (Altrock et. al, 2010) for simple evolutiona…
Universality of weak selection
Bin Wu, Philipp M. Altrock, Long Wang +1
Weak selection, which means a phenotype is slightly advantageous over another, is an important limiting case in evolutionary biology. Recently it has been introduced into evolution…
Stochastic slowdown in evolutionary processes
Philipp M. Altrock, Chaytanya S. Gokhale, Arne Traulsen
We examine birth--death processes with state dependent transition probabilities and at least one absorbing boundary. In evolution, this describes selection acting on two different…
Deterministic evolutionary game dynamics in finite populations
Philipp M. Altrock, Arne Traulsen
Evolutionary game dynamics describes the spreading of successful strategies in a population of reproducing individuals. Typically, the microscopic definition of strategy spreading…
Nonequilibrium phase transitions in finite arrays of globally coupled Stratonovich models: Strong coupling limit
Fabian Senf, Philipp M. Altrock, Ulrich Behn
A finite array of globally coupled Stratonovich models exhibits a continuous nonequilibrium phase transition. In the limit of strong coupling there is a clear separation of tim…
Fixation times in evolutionary games under weak selection
Philipp M. Altrock, Arne Traulsen
In evolutionary game dynamics, reproductive success increases with the performance in an evolutionary game. If strategy performs better than strategy , strategy will spr…