ABSTRACT

The use of mathematical models in immunology goes back to the 1970s, mostly focused on capturing the dynamics of different cell populations in a host, generally with the aid of ordinary differential equations. Since then, modeling has become an important technology in this field. Systems of ordinary differential equations still represent a key modeling framework, but they have been joined by models of other types, in particular Boolean models and their generalizations, as well as agent-based models. Modeling with differential equations as well as agent-based modeling is discussed elsewhere in this volume. In this chapter, we focus on the use of Boolean models and their generalizations in immunology.