A basic mathematical model of the immune response

H Mayer, KS Zaenker, U An Der Heiden - Chaos: An Interdisciplinary …, 1995 - pubs.aip.org
… Increasingly complicated mathematical models have been developed, for … mathematical
model for the interaction of the immune system and the target is given by the following system

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

GI Marchuk - 2013 - books.google.com
mathematical models of the immune processes reflects complex organization of the immune
system… immunology on the basis of mathematical models are considered nowadays as a …

Mathematical modeling of cancer–immune system, considering the role of antibodies

S Ghosh, S Banerjee - Theory in Biosciences, 2018 - Springer
mathematical models of the cancer–immune system interactions. In Kuznetsov et al. (1994),
the authors presented a mathematical model … They studied the immune stimulation of tumor …

[图书][B] Mathematical models of tumor-immune system dynamics

A Eladdadi, P Kim, D Mallet - 2014 - Springer
… One such approach combines cancer immunology with mathematics to model the
interactions. In particular, mathematical modeling has been used to understand immune …

[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
… Finally, we review published mathematical models of the impact of radiotherapy on tumor-immune
interactions. Ranging from considering the impact of properties of the tumor …

Mathematical modeling of tumor-immune cell interactions

GE Mahlbacher, KC Reihmer, HB Frieboes - Journal of Theoretical Biology, 2019 - Elsevier
Immune system cell types The human immune system has two main components that
interact with each other to defend organisms from pathogens: the innate and the adaptive …

A mathematical model of tumor–immune interactions

M Robertson-Tessi, A El-Kareh, A Goriely - Journal of theoretical biology, 2012 - Elsevier
… tumor and the immune system is presented. The … mathematical model presented in this
paper examines the T-cell response to a tumor. Several new features are included in the model. …

Mathematical modeling of the immune system recognition to mammary carcinoma antigen

C Bianca, F Chiacchio, F Pappalardo, M Pennisi - BMC bioinformatics, 2012 - Springer
… of the mathematical model proposed in the present paper has been analytically investigated
in [15, 16]. The simplified model … Therefore the mathematical model of the present paper is a …

Stability analysis of fractional order mathematical model of tumor-immune system interaction

I Öztürk, F Özköse - Chaos, Solitons & Fractals, 2020 - Elsevier
… a fractional-order mathematical model and justify it by showing that it fits the real data better
than the integer order model. We propose a model motivated by Mukhopadhyay et al.’s work …

Mathematical modeling of tumor-immune system interactions: the effect of rituximab on breast cancer immune response

V Bitsouni, V Tsilidis - Journal of Theoretical Biology, 2022 - Elsevier
… between breast cancer and the immune system, including B cells and tBregs… mathematical
model consisting of a system of coupled nonlinear ordinary differential equations. In our model