Mathematical modeling of interaction between innate and adaptive immune responses in COVID‐19 and implications for viral pathogenesis

SQ Du, W Yuan - Journal of medical virology, 2020 - Wiley Online Library
… In this paper, we used mathematical modeling to investigate the dynamics of the viral … , as
well as the interactions of target cells with the innate and AIRs. Our model suggests that most of …

A basic mathematical model of the immune response

H Mayer, KS Zaenker, U An Der Heiden - Chaos: An Interdisciplinary …, 1995 - pubs.aip.org
Interaction of the immune system with a target population of, eg, bacteria, viruses, antigens,
or tumor cells must be considered as a dynamic process. We describe this process by …

[图书][B] Mathematical modelling of immune response in infectious diseases

GI Marchuk - 2013 - books.google.com
model of immune response we investigate the interaction of … a mathematical model of the
humoral immune reaction to a … In his next works [19, 20] Bell modified his model into one …

Mathematical modeling of tumor-immune cell interactions

GE Mahlbacher, KC Reihmer, HB Frieboes - Journal of Theoretical Biology, 2019 - Elsevier
… rate of x M2 by type-II immune response cytokines produced by x Th2 , and δ m2 is the death
rate of x M2 cells. This study showed that type-II immune responses, characterized by large …

Mathematical modelling of immune response in tissues

B Su, W Zhou, KS Dorman… - … and Mathematical …, 2009 - Wiley Online Library
… /host interactions, we consider the simplest immune trigger: foreign antigen combined
with … The immune system we model includes all the basic factors: antigen, immune cells, …

Assessing mathematical models of influenza infections using features of the immune response

HM Dobrovolny, MB Reddy, MA Kamal, CR Rayner… - PloS one, 2013 - journals.plos.org
… -virus interactions. The act of engineering the host-virus interactions into a mathematical
model … and to distill the model down to only those immune response components essential to …

[HTML][HTML] Mathematical modeling of radiotherapy and its impact on tumor interactions with the immune system

RA Bekker, S Kim, S Pilon-Thomas, H Enderling - Neoplasia, 2022 - Elsevier
… Here we discuss the biological response to radiotherapy and its immunomodulatory … review
published mathematical models of the impact of radiotherapy on tumor-immune interactions. …

Modeling cancer-immune responses to therapy

LG DePillis, A Eladdadi, AE Radunskaya - Journal of pharmacokinetics …, 2014 - Springer
… the importance of mathematical modeling and simulation in immune-modulating therapies
for … a mathematical model that describes the interactions of the tumor-immune system and …

Mathematical models of humoral immune response

SJ Merrill - Modeling and differential equations in biology, 2017 - taylorfrancis.com
… on the qualitative properties of the model can only be … model of the immune response to a
repli cating antigen, Bell [2] posed a model in which he viewed the antibody-antigen interaction

A mathematical model of tumor–immune interactions

M Robertson-Tessi, A El-Kareh, A Goriely - Journal of theoretical biology, 2012 - Elsevier
… A mathematical model of the interactions between a growing tumor and the immune system
is presented. The … The mathematical model presented in this paper examines the T-cell …