[HTML][HTML] Mathematical models for immunology: current state of the art and future research directions

R Eftimie, JJ Gillard, DA Cantrell - Bulletin of mathematical biology, 2016 - Springer
The advances in genetics and biochemistry that have taken place over the last 10 years led
to significant advances in experimental and clinical immunology. In turn, this has led to the …

Improving cancer treatments via dynamical biophysical models

M Kuznetsov, J Clairambault, V Volpert - Physics of life reviews, 2021 - Elsevier
Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …

Optimal control to develop therapeutic strategies for metastatic castrate resistant prostate cancer

JJ Cunningham, JS Brown, RA Gatenby… - Journal of theoretical …, 2018 - Elsevier
In metastatic castrate resistant prostate cancer (mCRPC), abiraterone is conventionally
administered continuously at maximal tolerated dose until treatment failure. The majority of …

Cancer immunotherapy, mathematical modeling and optimal control

F Castiglione, B Piccoli - Journal of theoretical Biology, 2007 - Elsevier
Clinical immunologists, among other problems, routinely face a question: what is the best
time and dose for a certain therapeutic agent to be administered to the patient in order to …

On optimal delivery of combination therapy for tumors

A d'Onofrio, U Ledzewicz, H Maurer… - Mathematical …, 2009 - Elsevier
A mathematical model for the scheduling of angiogenic inhibitors in combination with a
chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication …

Addressing current challenges in cancer immunotherapy with mathematical and computational modelling

A Konstorum, AT Vella, AJ Adler… - Journal of The …, 2017 - royalsocietypublishing.org
The goal of cancer immunotherapy is to boost a patient's immune response to a tumour. Yet,
the design of an effective immunotherapy is complicated by various factors, including a …

Mathematical modeling, analysis, and simulation of tumor dynamics with drug interventions

P Unni, P Seshaiyer - Computational and mathematical …, 2019 - Wiley Online Library
Over the last few decades, there have been significant developments in theoretical,
experimental, and clinical approaches to understand the dynamics of cancer cells and their …

A mathematical model of the enhancement of tumor vaccine efficacy by immunotherapy

S Wilson, D Levy - Bulletin of mathematical biology, 2012 - Springer
TGF-β is an immunoregulatory protein that contributes to inadequate antitumor immune
responses in cancer patients. Recent experimental data suggests that TGF-β inhibition …

A tumor–immune interaction model with the effect of impulse therapy

M Sardar, S Khajanchi, B Ahmad - Communications in Nonlinear Science …, 2023 - Elsevier
A mathematical model describing the growth of tumor cells and the effect of impulsive
therapy is studied in this paper. The governing equations and parameters related to the …

Modeling cancer-immune responses to therapy

LG DePillis, A Eladdadi, AE Radunskaya - Journal of pharmacokinetics …, 2014 - Springer
Cancer therapies that harness the actions of the immune response, such as targeted
monoclonal antibody treatments and therapeutic vaccines, are relatively new and promising …