Phase transition in tumor growth: I avascular development

E. Izquierdo-Kulich, I. Rebelo, E. Tejera and J.M. Nieto-Villar

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 24, 6616-6623

Abstract: 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.

Keywords: Phase transition; Avascular tumor growth; Entropy production rate; Logistic–Gompertz equations (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:24:p:6616-6623

DOI: 10.1016/j.physa.2013.08.010

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