Optimal control in a model of dendritic cell transfection cancer immunotherapy

F Castiglione, B Piccoli - Bulletin of mathematical biology, 2006 - Springer
We construct a population dynamics model of the competition among immune system cells
and generic tumor cells. Then, we apply the theory of optimal control to find the optimal …

Optimal vaccine scheduling in cancer immunotherapy

B Piccoli, F Castiglione - Physica A: Statistical Mechanics and its …, 2006 - Elsevier
Cancer immunotherapy aims at stimulating the immune system to react against cancer
stealth capabilities. It consists of repeatedly injecting small doses of a tumor-associated …

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 …

[PDF][PDF] Optimal control applied to immunotherapy

TN Burden, J Ernstberger, KR Fister - Discrete and Continuous …, 2004 - researchgate.net
We investigate a mathematical model for the dynamics between tumor cells, immune-
effector cells, and the cytokine interleukin-2 (IL-2). In order to better determine under what …

Immunotherapy: an optimal control theory approach

KR Fister, JH Donnelly - Mathematical Biosciences & Engineering, 2005 - aimsciences.org
We investigate mathematical models for the dynamics between tumor cells, immune-effector
cells, and cytokine interleukin-2 (IL-2). To better determine under what circumstances the …

On the global dynamics of a model for tumor immunotherapy

DE Kirschner, A Tsygvintsev - Mathematical Biosciences & …, 2009 - aimsciences.org
Understanding the dynamics of human hosts and tumors is of critical importance. A
mathematical model was developed that explored the immune response to tumors that was …

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 …

The combined effects of optimal control in cancer remission

S Khajanchi, D Ghosh - Applied Mathematics and Computation, 2015 - Elsevier
We investigate a mathematical model depicting the nonlinear dynamics of immunogenic
tumors as envisioned by Kuznetsov et al.[1]. To understand the dynamics under what …

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 …

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 …