Phase transitions in tumor growth: III vascular and metastasis behavior

J.A. Llanos-Pérez, J.A. Betancourt-Mar, G. Cocho, R. Mansilla and José Manuel Nieto-Villar

Physica A: Statistical Mechanics and its Applications, 2016, vol. 462, issue C, 560-568

Abstract: We propose a mechanism for avascular, vascular and metastasis tumor growth based on a chemical network model. Vascular growth and metastasis, appear as a hard phase transition type, as “first order”, through a supercritical Andronov–Hopf bifurcation, emergence of limit cycle and then through a cascade of bifurcations type saddle-foci Shilnikov’s bifurcation. Finally, the thermodynamics framework developed shows that the entropy production rate, as a Lyapunov function, indicates the directional character and stability of the dynamical behavior of tumor growth according to this model.

Keywords: Phase transition; Vascular and metastasis tumor growth; Entropy production; Chaos and complexity (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:462:y:2016:i:c:p:560-568

DOI: 10.1016/j.physa.2016.06.086

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