The paper deals with mathematical modelling of the growth of tumours characterized by the
presence of cancer stem cells (CSC). These cells are assumed to be immortal and multi …

The cancer stem cell hypothesis has evolved to one of the most important paradigms in
biomedical research. During recent years evidence has been accumulating for the existence …

The cancer stem cell (CSC) hypothesis states that only a small fraction of a malignant cell
population is responsible for tumor growth and relapse. Understanding the relationships …

Objective: Cancer stem cells have been identified as the growth root for various malignant
tumours and are thought to be responsible for cancer recurrence following treatment …

A phenomenological model is formulated to model the early stages of tumor formation. The
model is based on a cell-based formalism, where each cell is represented as a circle or …

The mechanism behind the growth and development of tumors is intensively studied using
several mathematical approaches that rely on linear and non-linear techniques to model the …

Recent discovery of cancer stem cells in tumorigenic tissues has raised many questions
about their nature, origin, function and their behavior in cell culture. Most of current …

Cancer is a multi-factorial disease related with a high number of deaths in the world. There
are three cancer models which try to explain the origin and behavior of most known cancers …

It is now generally accepted that cancers contain a sub-population, the cancer stem cells
(CSCs), which initiate and drive a tumour's growth. At least until recently it has been widely …

The lack of an effective treatment against cancer is not only due to its huge heterogeneity,
but also to the fact that we don't have an answer to the question on how cancer originates …