Macroscopic modeling is used to describe various aspects of cancer growth. A recently
proposed “dysnamical exponent” hypothesis is critically examined in the context of the …

We propose in this article to compare the efficiency of two chemotherapeutic schedules: the
traditional and the metronomic. For this, we develop a new mathematical model describing …

After a long incubation period in which only sporadic investigations were devoted to the
applications of mathematics and physics to the study of tumors (see, eg, the work of Doll and …

We review the main types of mathematical models that have been designed to represent
and predict the evolution of a cell population under the action of anti-cancer drugs that are in …

The trajectories of the dynamic system which regulates the competition between the
populations of malignant cells and immune cells may tend to an asymptotically stable …

Evolutionary game models of cellular interactions have shown that heterogeneity in the
cellular genotypic composition is maintained through evolution to stable coexistence of …

A two-compartment model of cancer cells population dynamics proposed by Gyllenberg and
Webb includes transition rates between proliferating and quiescent cells as non-specified …

In this paper, we study a dynamic optimization problem for a general nonlinear mathematical
model for therapy of a lethal form of cancer. The model describes how the populations of …

This paper deals with the development of a mathematical model for the in vitro dynamics of
malignant hepatocytes exposed to anti-cancer therapies. The model consists of a set of …

Tumorigenesis is a dynamic biological process that involves distinct cancer cell
subpopulations proliferating at different rates and interconverting between them. In this …