Ferroptosis as a Biological Phase Transition I: avascular and vascular tumor growth
Title: | Ferroptosis as a Biological Phase Transition I: avascular and vascular tumor growth |
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Authors: | Nieto-Villar, J. M., Mansilla, R. |
Publication Year: | 2021 |
Collection: | Nonlinear Sciences Physics (Other) Quantitative Biology |
Subject Terms: | Physics - Biological Physics, Nonlinear Sciences - Chaotic Dynamics, Quantitative Biology - Biomolecules, Quantitative Biology - Quantitative Methods |
More Details: | 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. Comment: 13 pages, 3 figures |
Document Type: | Working Paper |
Access URL: | http://arxiv.org/abs/2109.02476 |
Accession Number: | edsarx.2109.02476 |
Database: | arXiv |
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