We consider a phenotype-structured model of evolutionary dynamics in a population of
cancer cells exposed to the action of a cytotoxic drug. The model consists of a nonlocal …

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 …

The nucleation and growth theory, described by the Avrami equation (also called Johnson–
Mehl–Avrami–Kolmogorov equation), and usually used to describe crystallization and …

The thermodynamics formalism of irreversible processes [1], systems biology [2] and
complex systems theory [3] offer a theoretical framework appropriate for the characterization …

Mathematical models of cancer growth and evolution of cancer cell characteristics, aka traits
or phenotypes, together with optimisation and optimal control methods to contain them, in …

A recently proposed model for skin cell proliferation [E. Clayton, Nature (London) 446, 185
(2007)] is extended to incorporate mitotic autoregulation, and hence homeostasis as a fixed …

Cancer is primarily a disease of the physiological control on cell population proliferation.
Tissue proliferation relies on the cell division cycle: one cell becomes two after a sequence …

Cancer is usually considered a genetic disease caused by alterations in genes that control
cellular behaviors, especially growth and division. Cancer cells differ from normal tissue …

Hypoxia and the pH level of the tumor microenvironment have a great impact on the
treatment of tumors. Here, the tumor growth is controlled by regulating the oxygen …

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