Phase transitions in tumor growth VI: Epithelial–Mesenchymal transition
Herewith we discuss a network model of the epithelial–mesenchymal transition (EMT) based on our previous proposed framework. The EMT appears as a “first order” phase transition process, analogous to the transitions observed in the chemical–physical field. Chiefly, EMT should be considered a transiti...
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Published in | Physica A Vol. 499; pp. 208 - 215 |
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Main Authors | , , , , , , , , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
01.06.2018
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Subjects | |
Online Access | Get full text |
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Summary: | Herewith we discuss a network model of the epithelial–mesenchymal transition (EMT) based on our previous proposed framework. The EMT appears as a “first order” phase transition process, analogous to the transitions observed in the chemical–physical field. Chiefly, EMT should be considered a transition characterized by a supercritical Andronov–Hopf bifurcation, with the emergence of limit cycle and, consequently, a cascade of saddle-foci Shilnikov’s bifurcations. We eventually show that the entropy production rate is an EMT-dependent function and, as such, its formalism reminds the van der Waals equation.
•Cancer as an open, complex, self-organizing nonlinear dynamic system.•The epithelial–mesenchymal transition appears as “first order” phase transition.•EMT exhibit a Shilnikov’s chaos. |
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ISSN: | 0378-4371 1873-2119 |
DOI: | 10.1016/j.physa.2018.01.040 |