On the use of Gillespie stochastic simulation algorithm in a model of the human immune system response to the Yellow Fever vaccine

The Human Immune System (HIS) plays a fundamental role in the defense of the body against diseases. However, the multi-scale interactions among several of its components make the complete understanding of the mechanisms involved in the body defense a complex task. Mathematical and computational tools can help towards this goal. Lots of works use differential equations, agent-based models and cellular automaton to describe the behavior of the HIS. In this work, we use the Gillespie stochastic simulation algorithm to model the stochastic nature of the HIS response to Yellow Fever vaccine.