Optimal controls for a mathematical model of tumor-immune interactions under targeted chemotherapy with immune boost

U Ledzewicz, MSF Mosalman… - Discrete and Continuous …, 2013 - aimsciences.org
An optimal control problem for combination of cancer chemotherapy with immunotherapy in
form of a boost to the immune system is considered as a multi-input optimal control problem …

Determination of the optimal therapeutic protocols in cancer immunotherapy

A Cappuccio, F Castiglione, B Piccoli - Mathematical biosciences, 2007 - Elsevier
Cancer immunotherapy aims at eliciting an immune system response against the tumor.
However, it is often characterized by toxic side-effects. Limiting the tumor growth and …

A chemotherapy combined with an anti-angiogenic drug applied to a cancer model including angiogenesis

C Letellier, SK Sasmal, C Draghi, F Denis… - Chaos, Solitons & …, 2017 - Elsevier
Combined therapy made of a chemotherapy and antiangiogenic agents is a clinical
treatment recommended for its efficiency. Since the optimization of a treatment against …

[HTML][HTML] A nonlinear mathematical model of cell-mediated immune response for tumor phenotypic heterogeneity

RF Alvarez, JAM Barbuto, R Venegeroles - Journal of Theoretical Biology, 2019 - Elsevier
Human cancers display intra-tumor heterogeneity in many phenotypic features, such as
expression of cell surface receptors, growth, and angiogenic, proliferative, and immunogenic …

Optimizing the timing and composition of therapeutic phage cocktails: a control-theoretic approach

G Li, CY Leung, Y Wardi, L Debarbieux… - Bulletin of mathematical …, 2020 - Springer
Viruses that infect bacteria, ie, bacteriophage or 'phage,'are increasingly considered as
treatment options for the control and clearance of bacterial infections, particularly as …

Mathematical modelling of cancer stem cell-targeted immunotherapy

D Sigal, M Przedborski, D Sivaloganathan… - Mathematical …, 2019 - Elsevier
The cancer stem cell hypothesis states that tumors are heterogeneous and comprised of
several different cell types that have a range of reproductive potentials. Cancer stem cells …

Optimal therapeutic protocols in cancer immunotherapy

A Ghaffari, N Naserifar - Computers in biology and medicine, 2010 - Elsevier
Using one of the well known mathematical models for immunotherapy of tumor–immune
interactions, in this paper an algorithm is developed to optimize the immunotherapy in …

Understanding cancer mechanisms through network dynamics

TMK Cheng, S Gulati, R Agius… - Briefings in functional …, 2012 - academic.oup.com
Cancer is a complex, multifaceted disease. Cellular systems are perturbed both during the
onset and development of cancer, and the behavioural change of tumour cells usually …

Mathematical modelling of autoimmune myocarditis and the effects of immune checkpoint inhibitors

SA van der Vegt, L Polonchuk, K Wang… - Journal of Theoretical …, 2022 - Elsevier
Autoimmune myocarditis is a rare, but frequently fatal, side effect of immune checkpoint
inhibitors (ICIs), a class of cancer therapies. Despite extensive experimental work on the …

Vaccine protocols optimization: in silico experiences

F Pappalardo, M Pennisi, F Castiglione, S Motta - Biotechnology Advances, 2010 - Elsevier
Vaccines represent a special class of drugs, capable of stimulating immune system
responses against pathogens and tumors. Vaccine development is a lengthy process that …