Mathematical modeling of the intracellular regulation of immune processes

DS Grebennikov, DO Donets, OG Orlova, J Argilaguet… - Molecular Biology, 2019 - Springer
The modern era of research in immunology is characterized by an unprecedented level of
detail about structural characteristics of the immune system and the regulation of activities of …

Multiphysics modelling of immune processes using distributed parameter systems

GA Bocharov, DS Grebennikov… - Russian Journal of …, 2023 - degruyter.com
The immune system is a complex distributed system consisting of cells, which circulate
through the body, communicate and turnover in response to antigenic perturbations. We …

Mathematical immunology: from phenomenological to multiphysics modelling

GA Bocharov, DS Grebennikov… - Russian Journal of …, 2020 - degruyter.com
Mathematical immunology is the branch of mathematics dealing with the application of
mathematical methods and computational algorithms to explore the structure, dynamics …

In silico modeling of the immune system: cellular and molecular scale approaches

M Belfiore, M Pennisi, G Aricò… - BioMed Research …, 2014 - Wiley Online Library
The revolutions in biotechnology and information technology have produced clinical data,
which complement biological data. These data enable detailed descriptions of various …

Mathematical modeling of the immune system in homeostasis, infection and disease

G Bocharov, V Volpert, B Ludewig… - Frontiers in …, 2020 - frontiersin.org
The immune system is a dynamic and multi-level biological system that protects host
organisms against invading pathogens and tumor development, and plays an active role in …

Modeling biology spanning different scales: an open challenge

F Castiglione, F Pappalardo, C Bianca… - BioMed research …, 2014 - Wiley Online Library
It is coming nowadays more clear that in order to obtain a unified description of the different
mechanisms governing the behavior and causality relations among the various parts of a …

On the coupling of two models of the human immune response to an antigen

BM Quintela, RW dos Santos… - BioMed research …, 2014 - Wiley Online Library
The development of mathematical models of the immune response allows a better
understanding of the multifaceted mechanisms of the defense system. The main purpose of …

Mathematical models for immunology: current state of the art and future research directions

R Eftimie, JJ Gillard, DA Cantrell - Bulletin of mathematical biology, 2016 - Springer
The advances in genetics and biochemistry that have taken place over the last 10 years led
to significant advances in experimental and clinical immunology. In turn, this has led to the …

Immune system modeling and analysis

R Mehr - Frontiers in Immunology, 2014 - frontiersin.org
Immunologists currently face daunting challenges, as a result of the rapid development of
new methods for immunological data collection, from high-throughput phenotyping to deep …

[HTML][HTML] Rival approaches to mathematical modelling in immunology

SM Andrew, CTH Baker, GA Bocharov - Journal of Computational and …, 2007 - Elsevier
In order to formulate quantitatively correct mathematical models of the immune system, one
requires an understanding of immune processes and familiarity with a range of …