Mathematical modelling of trastuzumab-induced immune response in an in vivo murine model of HER2+ breast cancer

AM Jarrett, MJ Bloom, W Godfrey… - Mathematical …, 2019 - academic.oup.com
… the model’s prediction for the immune response to the immunofluorescence results as a
preliminary validation for its predictions and then discuss the model’s … The mathematical model

Validated models of immune response to virus infection

AM Smith - Current Opinion in Systems Biology, 2018 - Elsevier
immune components regulate infection dynamics is beginning to be better understood with
the help of mathematical models… control by host immune responses, disentangle pathogen–…

Mathematical model of tumor immunotherapy for bladder carcinoma identifies the limitations of the innate immune response

R Breban, A Bisiaux, C Biot, C Rentsch… - …, 2012 - Taylor & Francis
… the innate immune response accounts for the success of bladder cancer immunotherapy.
Here we propose a mathematical model of interactions between the innate immune system, …

Mathematical models for analysing the immune response to influenza vaccination in a patient population

JE Linnik - 2021 - research-collection.ethz.ch
… This thesis presents three mathematical models and their application to analyse influenza
vaccineinduced immune responses in a population of immunocompromised patients after …

Mathematical models for vaccination, waning immunity and immune system boosting: a general framework

MV Barbarossa, G Röst - … International Symposium on Mathematical …, 2015 - World Scientific
… The innate immune response slows down the … mathematical models for waning immunity
and immune system boosting. We shall classify these models according to their mathematical

Investigations in mathematical modeling and control of the immune system

AE Rundell - 1997 - search.proquest.com
… individual aspects of the immune response. One such avenue is mathematical modeling.
Since the early 1970’s, mathematical models of the immune response have been developed …

Mathematical models of immune-induced cancer dormancy and the emergence of immune evasion

KP Wilkie, P Hahnfeldt - Interface Focus, 2013 - royalsocietypublishing.org
… This work suggests that through actions that temporarily delay cancer growth through the
targeted removal of immune-sensitive subpopulations, the immune response may actually …

Mathematical modelling of the inhibitory role of regulatory T cells in tumor immune response

Z Yang, C Yang, Y Dong, Y Takeuchi - Complexity, 2020 - Wiley Online Library
… First, we developed a mathematical model to study the inhibitory role of Tregs in the tumor …
process of tumor immune response with negative feedback. Using the mathematical model, it …

Modeling systems-level regulation of host immune responses

J Thakar, M Pilione, G Kirimanjeswara… - PLoS computational …, 2007 - journals.plos.org
… analysis of the immune response against two … Mathematical modeling can assist in this
process by integrating the behavior of multiple components into a comprehensive network model, …

Mathematical model of tumor–immune surveillance

KJ Mahasa, R Ouifki, A Eladdadi, L de Pillis - Journal of theoretical biology, 2016 - Elsevier
mathematical model involving various immune cell populations and tumor cell populations.
The model … survive the brief encounter with the immune system mediated by natural killer (NK…