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 …

Bayesian integrated testing strategy (ITS) for skin sensitization potency assessment: a decision support system for quantitative weight of evidence and adaptive testing …

JS Jaworska, A Natsch, C Ryan, J Strickland… - Archives of …, 2015 - Springer
Abstract The presented Bayesian network Integrated Testing Strategy (ITS-3) for skin
sensitization potency assessment is a decision support system for a risk assessor that …

[HTML][HTML] Infectious disease model generalization based on diffuse perturbations under conditions of body's temperature reaction

A Bomba, S Baranovsky, O Blavatska… - Computers in Biology …, 2022 - Elsevier
The infectious disease mathematical model is generalized based on the influence of diffuse
perturbations on the development of the disease under conditions of the body's temperature …

Importance of feedback and feedforward loops to adaptive immune response modeling

A Rahman, A Tiwari, J Narula… - CPT: Pharmacometrics …, 2018 - Wiley Online Library
The human adaptive immune system is a very complex network of different types of cells,
cytokines, and signaling molecules. This complex network makes it difficult to understand …

A validated mathematical model of the cytokine release syndrome in severe COVID-19

RF Reis, AB Pigozzo, CRB Bonin… - Frontiers in molecular …, 2021 - frontiersin.org
By June 2021, a new contagious disease, the Coronavirus disease 2019 (COVID-19), has
infected more than 172 million people worldwide, causing more than 3.7 million deaths …

[HTML][HTML] A spontaneous multifunctional hydrogel vaccine amplifies the innate immune response to launch a powerful antitumor adaptive immune response

X Liang, L Li, X Li, T He, S Gong, S Zhu, M Zhang… - Theranostics, 2021 - ncbi.nlm.nih.gov
Substantial progress has been made with cancer immunotherapeutic strategies in recent
years, most of which mainly rely on enhancing the T cell response. However, sufficient tumor …

Spatiotemporal dynamics of virus infection spreading in tissues

G Bocharov, A Meyerhans, N Bessonov, S Trofimchuk… - PLoS …, 2016 - journals.plos.org
Virus spreading in tissues is determined by virus transport, virus multiplication in host cells
and the virus-induced immune response. Cytotoxic T cells remove infected cells with a rate …

The resolution of inflammation: a mathematical model of neutrophil and macrophage interactions

JL Dunster, HM Byrne, JR King - Bulletin of mathematical biology, 2014 - Springer
There is growing interest in inflammation due to its involvement in many diverse medical
conditions, including Alzheimer's disease, cancer, arthritis and asthma. The traditional view …

Diffusion of cytokines in live lymph node tissue using microfluidic integrated optical imaging

AE Ross, RR Pompano - Analytica chimica acta, 2018 - Elsevier
Communication and drug efficacy in the immune system rely heavily on diffusion of proteins
such as cytokines through the tissue matrix. Available methods to analyze diffusion in tissue …

Stability analysis of the immune system induced by chemotaxis

P Zheng, W Shan, G Liao - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
This paper investigates the stability and instability of a generalized reaction-diffusion-
advection system, which describes a cross-talk between antigens and immune cells via …