Bang-bang optimal controls for a mathematical model of chemo-and immunotherapy in cancer

U Ledzewicz, H Maurer, H Schättler - Discrete and Continuous …, 2024 - aimsciences.org
A nonlinear mathematical model which includes synergistic effects of chemo-and
immunotherapy is analyzed (both analytically and numerically) as an optimal control …

Periodically pulsed immunotherapy in a mathematical model of tumor-immune interaction

HC Wei, JT Lin - International Journal of Bifurcation and Chaos, 2013 - World Scientific
Immunotherapy is one of the most recent approaches in cancer therapy. In this paper, a
mathematical model of tumor-immune interaction with periodically pulsed immunotherapy …

Analysis of stochastic dynamics of tumor with drug interventions

J Hussain, Z Bano, W Ahmed, S Shahid - Chaos, Solitons & Fractals, 2022 - Elsevier
In this work, we propose a stochastic generalization of deterministic coupled TNDL model
with drug interventions, that provides an interplay between Tumor cells (T), Natural killer …

Dose optimization of an adjuvanted peptide-based personalized neoantigen melanoma vaccine

W Valega-Mackenzie… - PLOS Computational …, 2024 - journals.plos.org
The advancements in next-generation sequencing have made it possible to effectively
detect somatic mutations, which has led to the development of personalized neoantigen …

Stochastic dynamics of a nonlinear tumor-immune competitive system

M Sardar, S Khajanchi, S Biswas - Nonlinear Dynamics, 2024 - Springer
The paper uses nine coupled ordinary differential equations (ODEs) to describe a tumor-
immune competitive system. The model is then reduced to four nonlinear coupled ODEs …

Pulse HIV vaccination: feasibility for virus eradication and optimal vaccination schedule

Y Yang, Y Xiao, J Wu - Bulletin of mathematical biology, 2013 - Springer
We modify the classical virus dynamics model by incorporating an immune response with
fixed or fluctuating vaccination frequencies and dosages to obtain a system of impulsive …

On the optimal control problem for a model of the synergy of chemo‐and immunotherapy

U Ledzewicz, H Schättler - Optimal Control Applications and …, 2024 - Wiley Online Library
The release of tumor antigens during traditional cancer treatments leads to a stimulation of
the immune response which provides synergistic effects these treatments have when …

A model of tumor‐immune system interactions with healthy cells and immunotherapies

JL Yu, HC Wei, SRJ Jang - Mathematical Methods in the …, 2022 - Wiley Online Library
A mathematical model of the tumor–immune system interactions is presented. The model
includes the primary cell populations involved in CD4+ T cells mediated regression of the …

Modelling pulsed immunotherapy of tumour–immune interaction

J Yang, S Tang, RA Cheke - Mathematics and Computers in Simulation, 2015 - Elsevier
We develop a mathematical model that describes the tumour–immune interaction and the
effect on it of pulsed immunotherapy, based on the administration of adoptive cellular …

Modeling the dynamics of mixed immunotherapy and chemotherapy for the treatment of immunogenic tumor

M Sardar, S Biswas, S Khajanchi - The European Physical Journal Plus, 2024 - Springer
We investigate a mathematical model that delineates the nonlinear dynamics of tumor-
immune interplay by considering the roles of immunotherapy and chemotherapy. The …