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 …

Optimal response to chemotherapy for a mathematical model of tumor–immune dynamics

U Ledzewicz, M Naghnaeian, H Schättler - Journal of mathematical …, 2012 - Springer
An optimal control problem for cancer chemotherapy is considered that includes
immunological activity. In the objective a weighted average of several quantities that …

Optimal treatment strategies using dendritic cell vaccination for a tumor model with parameter identifiability

S Khajanchi, J Mondal, PK Tiwari - Journal of Biological Systems, 2023 - World Scientific
Immunotherapy has become a rapidly developing approach in the treatment of cancer.
Cancer immunotherapy aims at promoting the immune system response to react against the …

An extended mathematical model of tumor growth and its interaction with the immune system, to be used for developing an optimized immunotherapy treatment …

M Qomlaqi, F Bahrami, M Ajami, J Hajati - Mathematical biosciences, 2017 - Elsevier
Background Chemotherapy is usually known as the main modality for cancer treatment.
Nevertheless, most of chronic cancers could not be treated with chemotherapy alone …

Optimal control of mixed immunotherapy and chemotherapy of tumors

LG de Pillis, KR Fister, W Gu, T Head… - Journal of Biological …, 2008 - World Scientific
We investigate a mathematical population model of tumor-immune interactions. The
populations involved are tumor cells, specific and non-specific immune cells, and …

Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis

U Ledzewicz, H Schättler - Journal of Theoretical Biology, 2008 - Elsevier
Tumor anti-angiogenesis is a cancer treatment approach that aims at preventing the primary
tumor from developing its own vascular network needed for further growth. In this paper the …

Neural network based adaptive backstepping dynamic surface control of drug dosage regimens in cancer treatment

F Zouari - Neurocomputing, 2019 - Elsevier
This manuscript aims at investigating the neural adaptive control of drug dosage regimens in
cancer treatment. The goal of the treatment is to get an appropriate scheme for the drug …

Computational modelling of modern cancer immunotherapy

D Valentinuzzi, R Jeraj - Physics in Medicine & Biology, 2020 - iopscience.iop.org
Modern cancer immunotherapy has revolutionised oncology and carries the potential to
radically change the approach to cancer treatment. However, numerous questions remain to …

A mathematical prognosis model for pancreatic cancer patients receiving immunotherapy

X Li, JX Xu - Journal of theoretical biology, 2016 - Elsevier
Pancreatic cancer is one of the most deadly types of cancer since it typically spreads rapidly
and can seldom be detected in its early stage. Pancreatic cancer therapy is thus a …

A mathematical model of combined bacillus Calmette-Guerin (BCG) and interleukin (IL)-2 immunotherapy of superficial bladder cancer

S Bunimovich-Mendrazitsky, JC Gluckman… - Journal of Theoretical …, 2011 - Elsevier
We report a mathematical model that describes the growth of superficial bladder cancer and
the effect thereupon of immunotherapy based on the administration of Bacillus Calmette …