Dynamic models of immune responses: what is the ideal level of detail?

J Thakar, M Poss, R Albert, GH Long… - … and Medical Modelling, 2010 - Springer
… to study the dynamics of immune responses to … models, and explore the use of discrete
dynamic models. Excellent reviews of mathematical modeling in immunology [8] and of modeling

A dynamical model of human immune response to influenza A virus infection

B Hancioglu, D Swigon, G Clermont - Journal of theoretical biology, 2007 - Elsevier
… We present a simplified dynamical model of immune response to uncomplicated influenza A
… infection by the innate and adaptive immunity. Innate immunity is represented by interferon-…

Modeling immune response and its effect on infectious disease outbreak dynamics

J Reyes-Silveyra, AR Mikler - Theoretical Biology and Medical Modelling, 2016 - Springer
… Moreover, the quality of the immune response determines the … a model that incorporates
individuals’ immune responses to, further, examine the role of the collective immune response of …

Dynamical behavior of a delay virus dynamics model with CTL immune response

X Shi, X Zhou, X Song - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
… In this paper, the dynamical behavior of a virus dynamics model with CTL immune response
… The effect of time delay on stability of the equilibria of the CTL immune response model has …

[HTML][HTML] A dynamic model of immune responses to antigen presentation predicts different regions of tumor or pathogen elimination

ED Sontag - Cell Systems, 2017 - cell.com
… As we mentioned earlier, the impact of growth rates on immune responses has been a hot
… As we will discuss, the role of exponential rates in determining immune response has also …

Modeling systems-level regulation of host immune responses

J Thakar, M Pilione, G Kirimanjeswara… - PLoS computational …, 2007 - journals.plos.org
model synthesizing these processes activated in responseimmune responses due to the
exclusive virulence factors present in the two species by developing separate dynamic models

Viral dynamics model with CTL immune response incorporating antiretroviral therapy

Y Wang, Y Zhou, F Brauer, JM Heffernan - Journal of mathematical biology, 2013 - Springer
models that include the CTL immune response, antiretroviral therapy and a full logistic growth
term for uninfected \(\text{ CD4}^+\) T-cells. The difference between the two modelsmodels

Validated models of immune response to virus infection

AM Smith - Current Opinion in Systems Biology, 2018 - Elsevier
… of viral persistence and control by host immune responses, disentangle pathogen–pathogen …
viral load dynamics observed in acute and chronic infections. Viral dynamics models can …

Modeling immune responses with handling time

SS Pilyugin, R Antia - Bulletin of mathematical biology, 2000 - Elsevier
… In Section 4, we derive a model for specific immunity with handling time, and present criteria
for vulnerability of the specific immune response. Section 5 contains the discussion and …

Mathematical modelling of immune response in tissues

B Su, W Zhou, KS Dorman… - … Mathematical Methods in …, 2009 - Wiley Online Library
… The PDE model we develop captures all of these stages of the immune response. In the
model, antigen and secondary signal diffuse from either a transient or persistent source. The …