Most anti-cancer drugs in use today exert their effects by inducing a programmed cell death
mechanism. This process, termed apoptosis, is accompanied by degradation of the DNA …

The growth of human cancers is characterised by long and variable cell cycle times that are
controlled by stochastic events prior to DNA replication and cell division. Treatment with …

In this paper we present an overview of the work undertaken to model a population of cells
and the effects of cancer therapy. We began with a theoretical one compartment size …

A mathematical model that describes the effects of cell-cycle-specific drugs on cancer and
normal tissue is developed. The model takes into account the proliferating cells, which are …

A pharmacokinetic–pharmacodynamic mathematical model is developed for cellular
pharmacology of chemotherapeutic drugs for which the decisive step towards cell death …

Nowadays, biomedicine is a multidisciplinary science that requires a very broad approach to
the study and analysis of various phenomena essential for a better understanding of human …

In this paper we firstly present three alternative formulations of a mathematical model for
human tumour cell lines unperturbed by cancer therapy. The model counts the number …

We develop a general mathematical model for a population of cells differentiated by their
position within the cell division cycle. A system of partial differential equations governs the …

When considering either human adult tissues (in vivo) or cell cultures (in vitro), cell number
is regulated by the relationship between quiescent cells, proliferating cells, cell death and …

Dosage and frequency of treatment schedules are important for successful chemotherapy.
However, in this work we argue that cell-kill response and tumoral growth should not be …