Phase transitions in tumor growth VI: Epithelial–Mesenchymal transition

A. Guerra, D.J. Rodriguez, S. Montero, J.A. Betancourt-Mar, R.R. Martin, E. Silva, M. Bizzarri, G. Cocho, R. Mansilla and J.M. Nieto-Villar

Physica A: Statistical Mechanics and its Applications, 2018, vol. 499, issue C, 208-215

Abstract: Herewith we discuss a network model of the epithelial–mesenchymal transition (EMT) based on our previous proposed framework. The EMT appears as a “first order” phase transition process, analogous to the transitions observed in the chemical–physical field. Chiefly, EMT should be considered a transition characterized by a supercritical Andronov–Hopf bifurcation, with the emergence of limit cycle and, consequently, a cascade of saddle-foci Shilnikov’s bifurcations. We eventually show that the entropy production rate is an EMT-dependent function and, as such, its formalism reminds the van der Waals equation.

Keywords: Biological phase transition; Entropy production rate; Epithelial–mesenchymal transition; Tumor-microenvironment cross-talk; Phenotypic transitions in cancer cell evolution (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:499:y:2018:i:c:p:208-215

DOI: 10.1016/j.physa.2018.01.040

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