The role of evolutionary game theory in spatial and non-spatial models of the survival of cooperation in cancer: a review

H Coggan, KM Page - Journal of the Royal Society …, 2022 - royalsocietypublishing.org
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 …

A spatial model predicts that dispersal and cell turnover limit intratumour heterogeneity

B Waclaw, I Bozic, ME Pittman, RH Hruban… - Nature, 2015 - nature.com
Most cancers in humans are large, measuring centimetres in diameter, and composed of
many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as …

Normal tissue architecture determines the evolutionary course of cancer

J West, RO Schenck, C Gatenbee… - Nature …, 2021 - nature.com
Cancer growth can be described as a caricature of the renewal process of the tissue of
origin, where the tissue architecture has a strong influence on the evolutionary dynamics …

The duality of spatial death–birth and birth–death processes and limitations of the isothermal theorem

K Kaveh, NL Komarova… - Royal Society open …, 2015 - royalsocietypublishing.org
Evolutionary models on graphs, as an extension of the Moran process, have two major
implementations: birth–death (BD) models (or the invasion process) and death–birth (DB) …

Evolutionary dynamics of mutants that modify population structure

J Tkadlec, K Kaveh, K Chatterjee… - Journal of the Royal …, 2023 - royalsocietypublishing.org
Natural selection is usually studied between mutants that differ in reproductive rate, but are
subject to the same population structure. Here we explore how natural selection acts on …

Substrate geometry affects population dynamics in a bacterial biofilm

W Postek, K Staśkiewicz, E Lilja… - Proceedings of the …, 2024 - National Acad Sciences
Biofilms inhabit a range of environments, such as dental plaques or soil micropores, often
characterized by noneven surfaces. However, the impact of surface irregularities on the …

Spatial mutation patterns as markers of early colorectal tumor cell mobility

MD Ryser, BH Min, KD Siegmund… - Proceedings of the …, 2018 - National Acad Sciences
A growing body of evidence suggests that a subset of human cancers grows as single clonal
expansions. In such a nearly neutral evolution scenario, it is possible to infer the early …

Tuning spatial profiles of selection pressure to modulate the evolution of drug resistance

MG De Jong, KB Wood - Physical review letters, 2018 - APS
Spatial heterogeneity plays an important role in the evolution of drug resistance. While
recent studies have indicated that spatial gradients of selection pressure can accelerate …

Modeling invasion dynamics with spatial random-fitness due to micro-environment

VSK Manem, K Kaveh, M Kohandel… - PLoS One, 2015 - journals.plos.org
Numerous experimental studies have demonstrated that the microenvironment is a key
regulator influencing the proliferative and migrative potentials of species. Spatial and …

Martingales and the characteristic functions of absorption time on bipartite graphs

T Monk, A van Schaik - Royal Society Open Science, 2021 - royalsocietypublishing.org
Evolutionary graph theory investigates how spatial constraints affect processes that model
evolutionary selection, eg the Moran process. Its principal goals are to find the fixation …