Periodically pulsed immunotherapy in a mathematical model of tumor, CD4\(^+\) T cells, and antitumor cytokine interactions
type: Item
instance of: scholarly article
title: Periodically pulsed immunotherapy in a mathematical model of tumor, CD4\(^+\) T cells, and antitumor cytokine interactions
zbMATH Open document ID: 1398.92134
DOI: 10.1155/2017/2906282
author: Hsiu-Chuan Wei
author: Jui-Ling Yu
author: Chia-Yu Hsu
published in: Computational \& Mathematical Methods in Medicine
publication date: 2018-09-26T00:00:00Z
review text: Summary: Immunotherapy is one of the most recent approaches for controlling and curing malignant tumors. In this paper, we consider a mathematical model of periodically pulsed immunotherapy using CD4\(^+\) T cells and an antitumor cytokine. Mathematical analyses are performed to determine the threshold of a successful treatment. The interindividual variability is explored by one-, two-, and three-parameter bifurcation diagrams for a nontreatment case. Numerical simulation conducted in this paper shows that (i) the tumor can be regulated by administering CD4\(^+\) T cells alone in a patient with a strong immune system or who has been diagnosed at an early stage, (ii) immunotherapy with a large amount of an antitumor cytokine can boost the immune system to remit or even to suppress tumor cells completely, and (iii) through polytherapy the tumor can be kept at a smaller size with reduced dosages.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92C45
zbMATH DE Number: 6943930
zbMATH Keywords: immunotherapy
zbMATH Keywords: tumor
zbMATH Keywords: CD4\(^+\) T cells
zbMATH Keywords: antitumor cytokine interactions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2906282
OpenAlex ID: W2767214865
Wikidata QID: Q47099396
cites work: Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
cites work: Modeling anti-tumor Th1 and Th2 immunity in the rejection of melanoma
cites work: Qualitative behavior of systems of tumor-\(\mathrm{CD}4^{+}\)-cytokine interactions with treatments
cites work: Modeling immunotherapy of the tumor -- immune interaction
cites work: Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
cites work: Dynamic response of cancer under the influence of immunological activity and therapy
cites work: Periodically pulsed immunotherapy in a mathematical model of tumor-immune interaction
cites work: A modified numerical method for bifurcations of fixed points of ODE systems with periodically pulsed inputs
description: scientific article; zbMATH DE number 6943930