[HTML][HTML] Mathematical models of immune effector responses to viral infections: Virus control versus the development of pathology

D Wodarz - Journal of computational and applied mathematics, 2005 - Elsevier
mathematical models which have investigated the importance of lytic and non-lytic immune
responses for … We construct a mathematical model describing the basic dynamics between …

Mathematical model of the immune response to dengue virus

MC Gómez, HM Yang - Journal of Applied Mathematics and Computing, 2020 - Springer
response to dengue virus, except the paper [27]; our mathematical model instead try to
describe the adaptive immune response activated by the T helper cells, assuming that the innate …

[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
… of immune responses. Apoptotic or other forms of immunogenically silent cell death hinder
activation of anti-tumor immune responses … , support radiation induced immune activation [30]. …

Recognition and learning in a mathematical model for immune response against cancer

M Delitala, T Lorenzi - Discrete and Continuous Dynamical …, 2013 - aimsciences.org
… a mathematical model for immune response against cancer aimed at reproducing emerging
phenomena arising from the interactions between tumor and immune cells. The model is …

Modeling the immune response to HIV infection

JM Conway, RM Ribeiro - Current opinion in systems biology, 2018 - Elsevier
modeling HIV infection in the context of immune responses. … to focus on those that discuss
models in the context of data or … on T cell turnover under different mathematical models and it …

Stability analysis of a mathematical model of the immune response with delays

E Beretta, M Carletti, DE Kirschner, S Marino - Mathematics for life science …, 2007 - Springer
… a general model of the two-fold immune response, specifically to intracellular bacterial
pathogens, incorporating mathematical delays for both innate and adaptive immune response. …

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
… in detail the new mathematical model for tumor-immune interactions. In Section 3, we derive
the model parameters. In Section 4, we study the dynamics of our model using numerical …

Immune response to a malaria infection: properties of a mathematical model

P De Leenheer, SS Pilyugin - Journal of biological dynamics, 2008 - Taylor & Francis
… We establish some properties of a within host mathematical model of … We assume that the
immune responses are induced … model the life-span of the corresponding immune responses. …

[HTML][HTML] A nonlinear mathematical model of cell-mediated immune response for tumor phenotypic heterogeneity

RF Alvarez, JAM Barbuto, R Venegeroles - Journal of Theoretical Biology, 2019 - Elsevier
… a successful immune response. In this paper, we propose a nonlinear mathematical model of
… takes into account some of these features based on cell-mediated immune responses. The …

A mathematical model of immune response in cutaneous leishmaniasis

MC De Almeida, HN Moreira - Journal of Biological Systems, 2007 - World Scientific
… , an antagonistic and cross-inhibitory action between the two responses is firmly established…
the parasite and the host immune response. 3 This successful model has led to attempts in …