Phase transitions in tumor growth: V what can be expected from cancer glycolytic oscillations?

R.R. Martin, S. Montero, E. Silva, M. Bizzarri, G. Cocho, R. Mansilla and J.M. Nieto-Villar

Physica A: Statistical Mechanics and its Applications, 2017, vol. 486, issue C, 762-771

Abstract: Experimental evidence confirms the existence of glycolytic oscillations in cancer, which allows it to self-organize in time and space far from thermodynamic equilibrium, and provides it with high robustness, complexity and adaptability. A kinetic model is proposed for HeLa tumor cells grown in hypoxia conditions. It shows oscillations in a wide range of parameters. Two control parameters (glucose and inorganic phosphate concentration) were varied to explore the phase space, showing also the presence of limit cycles and bifurcations. The complexity of the system was evaluated by focusing on stationary state stability and Lempel–Ziv complexity. Moreover, the calculated entropy production rate was demonstrated behaving as a Lyapunov function.

Keywords: Phase transition; Entropy production rate; Lempel–Ziv complexity; Cancer glycolytic oscillations (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:486:y:2017:i:c:p:762-771

DOI: 10.1016/j.physa.2017.06.001

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