Phase transition in tumor growth: I avascular development

We propose a mechanism for avascular tumor growth based on a simple chemical network. This model presents a logistic behavior and shows a “second order” phase transition. We prove the fractal origin of the empirical logistics and Gompertz constant and its relation to mitosis and apoptosis rate. Finally, the thermodynamics framework developed demonstrates the entropy production rate as a Lyapunov function during avascular tumor growth.

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Year of publication:	2013
Authors:	Izquierdo-Kulich, E. ; Rebelo, I. ; Tejera, E. ; Nieto-Villar, J.M.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 392.2013, 24, p. 6616-6623
Publisher:	Elsevier
Subject:	Phase transition \| Avascular tumor growth \| Entropy production rate \| Logistic–Gompertz equations

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011060795