Modelling and simulation of human innate immune response
Koh, Soon Joo.
Date of Issue2007
School of Mechanical and Aerospace Engineering
In modelling human immune system, simple mathematical models, such as ordinary differential equation (ODE) and partial differential equation (PDE) are often used to describe interaction between pathogen and immune cells. One of the examples is the predator-prey model. However, it has been argued that microscopic simulation is more appropriate to model complex immunological process rather than ODE or PDE based models. This is because a) Both ODE and PDE assumes that local fluctuation have been moved out, b) Typically, they neglect correlations between movements of different species, and c) They assume instantaneous results of interaction unless the time delay term is included. On the other hand, good mathematical models have the advantage over the detailed microscopic pictures, because they can be formulated in terms of a few experimentally accessible parameters and yet is able to account for all possible outcomes of the considered process. This is especially true if the detail systematic knowledge of the microscopic process is not available, as the case with human immune system.