Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10481670 | Physica A: Statistical Mechanics and its Applications | 2013 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
E. Izquierdo-Kulich, I. Rebelo, E. Tejera, J.M. Nieto-Villar,