Phase transitions in tumor growth: IV relationship between metabolic rate and fractal dimension of human tumor cells

J.A. Betancourt-Mar, J.A. Llanos-Pérez, G. Cocho, R. Mansilla, R.R. Martin, S. Montero and J.M. Nieto-Villar

Physica A: Statistical Mechanics and its Applications, 2017, vol. 473, issue C, 344-351

Abstract: By the use of thermodynamics formalism of irreversible processes, complex systems theory and systems biology, it is derived a relationship between the production of entropy per unit time, the fractal dimension and the tumor growth rate for human tumors cells. The thermodynamics framework developed demonstrates that, the dissipation function is a Landau potential and also the Lyapunov function of the dynamical behavior of tumor growth, which indicate the directional character, stability and robustness of the phenomenon. The entropy production rate may be used as a quantitative index of the metastatic potential of tumors. The current theoretical framework will hopefully provide a better understanding of cancer and contribute to improvements in cancer treatment.

Keywords: Phase transition; Dissipation function; Metabolic rate; Human tumor cells; Entropy production rate; Fractal dimension (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:473:y:2017:i:c:p:344-351

DOI: 10.1016/j.physa.2016.12.089

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