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 …

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 …

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 …

The immune system is inordinately complex with many interacting components determining
overall outcomes. Mathematical and computational modelling provides a useful way in …

Understanding the cellular and molecular mechanisms that control the ability of the immune
system to mount a protective response against pathogen-derived foreign antigens, but avoid …

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 paper provides a survey of mathematical models and methods dealing with the analysis
and simulation of tumor dynamics in competition with the immune system. The characteristic …

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 complexity and multiscale nature of the mammalian immune response
provides an excellent test bed for the potential of mathematical modeling and simulation to …

This chapter deals with the modeling and simulation of large systems of interacting entities
whose microscopic state includes not only geometrical and mechanical variables (typically …