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. Fina...

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Bibliographic Details
Published inPhysica A Vol. 392; no. 24; pp. 6616 - 6623
Main Authors Izquierdo-Kulich, E., Rebelo, I., Tejera, E., Nieto-Villar, J.M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.12.2013
Subjects
Avascular tumor growth
Entropy
Entropy production rate
Fractal analysis
Logistics
Logistic–Gompertz equations
Lyapunov functions
Mitosis
Phase transformations
Phase transition
Statistical mechanics
Tumors
Entropy production rate
Logistic–Gompertz equations
Avascular tumor growth
Phase transition
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Summary: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. •Avascular tumor growth due to a phase transition of second order.•Entropy production rate is a Lyapunov function during avascular tumor growth.•Difference between fractal dimensions of normal and tumor cells as order parameter.
Bibliography:ObjectType-Article-1
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content type line 23
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2013.08.010