Numerous aspects of the immune system operate on the basis of complex regulatory
networks that are amenable to mathematical and computational modeling. Several modeling …

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 …

Leukaemia accounts for around 3% of all cancer types diagnosed in adults, and is the most
common type of cancer in children of paediatric age (typically ranging from 0 to 14 years) …

We introduce and analyze several aspects of a new model for cell differentiation. It assumes
that differentiation of progenitor cells is a continuous process. From the mathematical point …

In this paper we analyze some features of global dynamics of a three-dimensional chronic
myelogenous leukemia (CML) model with the help of the stability analysis and the …

A mathematical model given by a two-dimensional differential system is introduced in order
to understand the transition process from the normal hematopoiesis to the chronic and …

Abstract Chronic Myeloid Leukemia is a blood cancer for which standard therapy with
Tyrosine-Kinase Inhibitors is successful in the majority of patients. After discontinuation of …

We present a global stability analysis of two-compartment models of a hierarchical cell
production system with a nonlinear regulatory feedback loop. The models describe cell …

We introduce a class of structured population models describing cell differentiation that
consists of discrete and continuous transitions. The model is defined in a framework of …

Here we present a mathematical model of movement in an abstract space representing
states of cellular differentiation. We motivate this work with recent examples that …