The role of evolutionary game theory in spatial and non-spatial models of the survival of cooperation in cancer: a review
Evolutionary game theory (EGT) is a branch of mathematics which considers populations of
individuals interacting with each other to receive pay-offs. An individual's pay-off is …
individuals interacting with each other to receive pay-offs. An individual's pay-off is …
Exact numerical calculation of fixation probability and time on graphs
The Moran process on graphs is a popular model to study the dynamics of evolution in a
spatially structured population. Exact analytical solutions for the fixation probability and time …
spatially structured population. Exact analytical solutions for the fixation probability and time …
The molecular clock of neutral evolution can be accelerated or slowed by asymmetric spatial structure
B Allen, C Sample, Y Dementieva… - PLoS Computational …, 2015 - journals.plos.org
Over time, a population acquires neutral genetic substitutions as a consequence of random
drift. A famous result in population genetics asserts that the rate, K, at which these …
drift. A famous result in population genetics asserts that the rate, K, at which these …
Fixation probabilities for simple digraphs
B Voorhees, A Murray - Proceedings of the Royal Society …, 2013 - royalsocietypublishing.org
The problem of finding birth–death fixation probabilities for configurations of normal and
mutants on an N-vertex graph is formulated in terms of a Markov process on the 2 N …
mutants on an N-vertex graph is formulated in terms of a Markov process on the 2 N …
Towards a theoretical framework for analysis and intervention of random drift on general networks
It is well known that evolution is a fundamental phenomenon driving nature. And random
drift is a basic force for population evolution. This technical note aims at constructing a …
drift is a basic force for population evolution. This technical note aims at constructing a …
The impact of time delays on mutant fixation in pairwise social dilemma games
J Mohamadichamgavi, M Broom - Proceedings A, 2024 - royalsocietypublishing.org
Evolutionary game theory examines how strategies spread and persist in populations
through reproduction and imitation based on their fitness. Traditionally, models assume …
through reproduction and imitation based on their fitness. Traditionally, models assume …
Martingales and the fixation probability of high-dimensional evolutionary graphs
T Monk - Journal of theoretical biology, 2018 - Elsevier
A principal problem of evolutionary graph theory is to find the probability that an initial
mutant population will fix on a graph, ie that the mutants will eventually replace the …
mutant population will fix on a graph, ie that the mutants will eventually replace the …
Suppressors of selection
F Alcalde Cuesta, P González Sequeiros… - PLoS …, 2017 - journals.plos.org
Inspired by recent works on evolutionary graph theory, an area of growing interest in
mathematical and computational biology, we present examples of undirected structures …
mathematical and computational biology, we present examples of undirected structures …
Martingales and the fixation time of evolutionary graphs with arbitrary dimensionality
T Monk, A van Schaik - Royal Society Open Science, 2022 - royalsocietypublishing.org
Evolutionary graph theory (EGT) investigates the Moran birth–death process constrained by
graphs. Its two principal goals are to find the fixation probability and time for some initial …
graphs. Its two principal goals are to find the fixation probability and time for some initial …
[HTML][HTML] Methods for approximating stochastic evolutionary dynamics on graphs
CE Overton, M Broom, C Hadjichrysanthou… - Journal of Theoretical …, 2019 - Elsevier
Population structure can have a significant effect on evolution. For some systems with
sufficient symmetry, analytic results can be derived within the mathematical framework of …
sufficient symmetry, analytic results can be derived within the mathematical framework of …