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Journal 'Cytokines & inflammation', 2012, No. 2

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Number 2'2012

Mathematical modelling as a tool for theoretical researches in immunology: advances and perspectives

S.R. Kuznetsov, V.I. Shishkin

A review of modern achievements of mathematical immunology. Examples of an effective use of powerful mathematical methods for research of dynamics of immune system are analyzed. The role of mathematical methods in an assessment of parameters inaccessible to direct measurement is shown, as well as at carrying out of in machina experiments. The data on modelling of virus dynamics, receptors cross linking, dynamics of idiotypic networks, activation of T cells are considered; works on research of repertoire of receptors of immune system by means of the concept of shape space are discussed; new methods of the analysis of flow cytometry data are described; spatial computer modelling of the immune system by means of using multi-agent systems is considered. (Cytokines and Inflammation. 2012. Vol. 11. № 2. P. 5–13.)

Keywords: mathematical immunology, theoretical immunology, virus dynamics, shape space T cell activation, kinetic proofreading, multi-agent systems, immune simulator.

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