English

Ferroptosis as a Biological Phase Transition I: avascular and vascular tumor growth

Biological Physics 2021-09-07 v1 Chaotic Dynamics Biomolecules Quantitative Methods

Abstract

Herewith we discuss a network model of the ferroptosis avascular and vascular tumor growth based on our previous proposed framework. Chiefly, ferroptosis should be viewed as a first order phase transition characterized by a supercritical Andronov Hopf bifurcation, with the emergence of limit cycle. The increase of the population of the oxidized PUFA fragments, take as the control parameter, involves an inverse Feigenbaum, (a cascade of saddle foci Shilnikov's bifurcations) scenario, which results in the stabilization of the dynamics and in a decrease of complexity.

Keywords

Cite

@article{arxiv.2109.02476,
  title  = {Ferroptosis as a Biological Phase Transition I: avascular and vascular tumor growth},
  author = {J. M. Nieto-Villar and R. Mansilla},
  journal= {arXiv preprint arXiv:2109.02476},
  year   = {2021}
}

Comments

13 pages, 3 figures