027w: Mathematics Applied to Immunology and Virology

Gennady Bocharov, Marchuk Institute of Numerical Mathematics of RAS

Irina Gainova, Sobolev Institute of Mathematics of SB RAS

Andreas Meyerhans, Universitat Pompeu Fabra

Co-organizer:

Moscow Center of Fundamental and Applied Mathematics at INM RAS

14 November 2022 - 18 November 2022

Mathematics plays an increasing role in the description and analysis of the immune system. Indeed, modern research in immunology is characterized by an unprecedented level of detail that has progressed towards viewing the immune system as numerous components that function together as a whole network.

The research community is facing significant difficulties in making inferences from the data being generated from high-throughput technologies for understanding immune system functioning, a problem known as the ‘curse of dimensionality. Shifting our view of the immune system from a static schematic perception to a dynamic multi-level system is a daunting task. It requires the development of appropriate mathematical models and methods for a holistic and quantitative analysis of multi-level molecular and cellular networks underpinning the immune reactions in health and immune-related diseases.

Traditional mathematical categories such as multi-stability, switches, ultra-sensitivity, distributed systems, graph dynamics, hierarchical control as well as emergent frameworks of multiscale and hybrid modelling will be discussed at the workshop in the context of question-driven data-based multidisciplinary studies of the immune system. The overall goal of this workshop is to: review state-of-the-art knowledge in mathematical immunology and discuss open problems in mathematics generated by these new complex models of various classes (graph and network type, hybrid and hierarchical systems, etc.) derived to understand various immunological phenomena.

The topics of the workshop will include the analysis and numerical implementation of the models described by ODEs, DDE, and PDE systems, development of hybrid and multiscale models, inverse problems, automatic and optimal control of the immune system dynamics and viral infections. Mathematically-based analysis of human infections of major public concern (e.g., HIV-1, SARS-CoV-2) and basic experimental animal models (e.g., LCMV, SIV) is expected to be presented. Special issues of Microorganisms (MPDI) and Frontiers in Immunology (Frontiers AG) will be available for submission of the manuscripts summarizing the workshop talks.