We have developed a spatial–temporal mathematical model (PDE) to capture fundamental
aspects of the immune response to antigen. We have considered terms that broadly …

In order to formulate quantitatively correct mathematical models of the immune system, one
requires an understanding of immune processes and familiarity with a range of …

The advances in genetics and biochemistry that have taken place over the last 10 years led
to significant advances in experimental and clinical immunology. In turn, this has led to the …

Background One of the goals of computational immunology is to facilitate the study of
infectious diseases. Dynamic modeling is a powerful tool to integrate empirical data from …

We briefly review spatially homogeneous mechanistic mathematical models describing the
interactions between a malignant tumor and the immune system. We begin with the simplest …

Background The immune system behaves like a complex, dynamic network with interacting
elements including leukocytes, cytokines, and chemokines. While the immune system is …

Inflammation is characterized by altered cytokine levels produced by cell populations in a
highly interdependent manner. To elucidate the mechanism of an inflammatory reaction, we …

The biological immune system is a complex adaptive system that constitutes the defence
mechanism of higher level organisms to micro organismic threats. There are lots of benefits …

Mathematical Modeling and Immunology An enormous amount of human effort and
economic resources has been directed in this century to the fight against cancer. The …

This text discusses mathematical modelling, analysis and control of the immune system and
disease dynamics. The purpose of the book is the practical application of mathematics to …