Mathematical modeling can be a valuable tool for examining complex biological systems. Modeling can allow researchers to focus on important interactions, identify critical behavior thresholds, explore treatment dosage and timing as well as test new investigational approaches. As will be discussed in this chapter, mathematical modeling has been used to investigate the body’s dynamic response to inflammation within the context of a wide variety of conditions and diseases. We describe a variety of mathematical models that are used to explore inflammation and then enumerate the ways these modeling paradigms have been used to investigate inflammation in specific organs and diseases.
Keywords: Agent based models, Cancer, Gastrointestinal track, Lung, Ordinary differential equations, Partial differential equations, Periodontal, Rheumatoid arthritis, Skin.