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Phase transition in tumor growth: I avascular development |
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| Authors: | E Izquierdo-Kulich I Rebelo E Tejera JM Nieto-Villar |
| Institution: | 1. Department of Chemical-Physics, M.V. Lomonosov Chemistry Division, Faculty of Chemistry, Russian Federation;2. H. Poincaré Group of Complex Systems, Physics Faculty, University of Havana, Havana 10400, Cuba;3. Faculty of Pharmacy, Biochemistry Service / Cell and Molecular Biology Institute (IBMC), Porto University, Porto, Portugal |
| 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&ndash Gompertz equations |
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