Mathematical and computational models in tumor immunology

The immune system is able to protect the host from tumor onset, and immune deficiencies are accompanied by an increased risk of cancer. Immunology is one of the fields in biology where the role of computational and mathematical modeling and analysis were recognized the earliest, beginning from 60s of the last century. We introduce the two most common methods in simulating the competition among the immune system, cancers and tumor immunology strategies: differential equations and rule-based models. Several specific implementations are presented, describing in details how they work and how they advance or contribute the field of tumor immunology.