A basic mathematical model of the immune response

H Mayer, KS Zaenker, U An Der Heiden - Chaos: An Interdisciplinary …, 1995 - pubs.aip.org
… targets are able to generate a considerable variety of different kinds of immune responses, …
the model may show a chaotic time behavior of both target growth and immune response. © …

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
response that should be captured by mathematical models. We tested existing mathematical
models that incorporate an immune responseimmune response. An attempt to validate the …

Mathematical modeling provides kinetic details of the human immune response to vaccination

D Le, JD Miller, VV Ganusov - Frontiers in Cellular and Infection …, 2015 - frontiersin.org
… To investigate this issue further, we re-fitted our mathematical model to the immune
response data using non-linear mixed effects models by allowing only some parameters to vary …

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

GI Marchuk - 2013 - books.google.com
… application of closed models of immune response to infections … Academy of Sciences on
mathematical models in immunology. The … The diversity of mathematical models of the immune

Mathematical modelling of immune response in tissues

B Su, W Zhou, KS Dorman, DE Jones - … and Mathematical Methods …, 2009 - Taylor & Francis
… –temporal mathematical model (PDE) to capture fundamental aspects of the immune response
to … The PDE model is robust to variation in antigen load and it can account for (1) antigen …

HIV dynamics with immune responses: Perspectives from mathematical modeling

EJ Schwartz, KRH Biggs, C Bailes, KA Ferolito… - Current Clinical …, 2016 - Springer
… of immune responses on infection. In this review, we discuss the current status of mathematical
modeling of HIV-immune system dynamics and how advances in modeling approaches …

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 … Our model suggests that
most of the differences between the … between the two immune responses. More specifically, …

Outcome prediction in mathematical models of immune response to infection

M Mai, K Wang, G Huber, M Kirby, MD Shattuck… - PloS one, 2015 - journals.plos.org
… of genes responsible for a particular immune response.[24, 25… differences in the immune
response that arise from patient-to-… (ODEs) as mathematical models for the immune response to …

Mathematical models of humoral immune response

SJ Merrill - Modeling and differential equations in biology, 2017 - taylorfrancis.com
… of the model can only be surmised from numerical examples. To obtain a simplest possible
model of the immune response to a repli cating antigen, Bell [2] posed a model in which he …

Mathematical modeling and analysis of innate and humoral immune responses to dengue infections

S Perera, SSN Perera - International Journal of Biomathematics, 2019 - World Scientific
models in the literature have considered either humoral immune response or cell mediated
immune response … -host dengue infection model combining both humoral and innate immune