Mathematical immunology: From phenomenological to multiphysics modelling

Mathematical immunology is the branch of mathematics dealing with the application of mathematical methods and computational algorithms to explore the structure, dynamics, organization and regulation of the immune system in health and disease. We review the conceptual and mathematical foundation of modelling in immunology formulated by Guri I. Marchuk. The current frontier studies concerning the development of multiscale multiphysics integrative models of the immune system are presented. © 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.

Авторы
Bocharov G.A. 1, 2 , Grebennikov D.S.1, 2 , Savinkov R.S. 1, 3
Журнал
Russian Journal of Numerical Analysis and Mathematical Modelling
Издательство
Walter de Gruyter GmbH
Номер выпуска
4
Язык
Английский
Страницы
203-213
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1515/RNAM-2020-0017
Том
35
Год
2020
Организации
  • 1 Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119333, Russian Federation
  • 2 Moscow Center for Fundamental and Applied Mathematics, INM RAS, Sechenov First Moscow State Medical University, Moscow, 119991, Russian Federation
  • 3 Moscow Center for Fundamental and Applied Mathematics, INM RAS, Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Ключевые слова
Cell motility; Geometric model of lymph node; Immune response; Mathematical immunology; Multiphysics; Multiscale processes; Numerical implementation; Reaction-diffusion models; Virus infection
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