Title
Tipping the Balance: A Criticality Perspective
Abstract
Cell populations are often characterised by phenotypic heterogeneity in the form of two distinct subpopulations. We consider a model of tumour cells consisting of two subpopulations: non-cancer promoting (NCP) and cancer-promoting (CP). Under steady state conditions, the model has similarities with a well-known model of population genetics which exhibits a purely noise-induced transition from unimodality to bimodality at a critical value of the noise intensity sigma(2). The noise is associated with the parameter lambda representing the system-environment coupling. In the case of the tumour model, lambda has a natural interpretation in terms of the tissue microenvironment which has considerable influence on the phenotypic composition of the tumour. Oncogenic transformations give rise to considerable fluctuations in the parameter. We compute the lambda - sigma(2) phase diagram in a stochastic setting, drawing analogies between bifurcations and phase transitions. In the region of bimodality, a transition from a state of balance to a state of dominance, in terms of the competing subpopulations, occurs at lambda = 0. Away from this point, the NCP (CP) sub-population becomes dominant as lambda changes towards positive (negative) values. The variance of the steady state probability density function as well as two entropic measures provide characteristic signatures at the transition point.
Year
DOI
Venue
2022
10.3390/e24030405
ENTROPY
Keywords
DocType
Volume
phenotypic heterogeneity, noise-induced transition, bimodality, probability density function, stochastic potential, bifurcations, phase transitions, tumour population, cancer, entropic measures
Journal
24
Issue
ISSN
Citations 
3
1099-4300
0
PageRank 
References 
Authors
0.34
2
1
Name
Order
Citations
PageRank
Indrani Bose100.34