We propose a mechanism for prostate cancer cell lines growth, LNCaP and PC3 based on
a Gompertz dynamics. This growth exhibits a multifractal behavior and a “second order” …

We propose a mechanism for avascular, vascular and metastasis tumor growth based on a
chemical network model. Vascular growth and metastasis, appear as a hard phase transition …

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 …

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 …

It was proved through Rossler model, where the funnel case is more robust tan spiral chaos,
the entropy production per unit time is a Lyapunov's function on the space of the control …

In this work, the Rössler system is used as a model for chronotherapy. We applied a periodic
perturbation to the y variable to take the Rössler system from a chaotic behavior to a simple …

The biological systems are opened and are kept far from thermodynamics equilibrium. For
these reasons, biological systems are always exposed to external perturbations, which may …

A non-autonomous model was developed for vascular tumor growth and cancer metastasis
under periodic perturbations that simulate chronotherapy. It was found that for a critical …

Metastasis is resistant to conventional therapies and the main cause of death by cancer. In
this article we discuss a non-autonomous model for the stage of cancer metastasis in which a …

The thermodynamic formalism of nonequilibrium systems together with the theory of complex
systems and systems biology offer an appropriate theoretical framework to explain the …