LAPSE:2021.0566
Published Article
LAPSE:2021.0566
Stability Analysis of Delayed Tumor-Antigen-ActivatedImmune Response in Combined BCG and IL-2Immunotherapy of Bladder Cancer
June 21, 2021
We use a system biology approach to translate the interaction of Bacillus Calmette-Gurin (BCG) + interleukin 2 (IL-2) for the treatment of bladder cancer into a mathematical model. The main goal of this research is to predict the outcome of BCG + IL-2 treatment combinations. We examined whether the delay effect caused by the proliferation of tumor antigen-specific effector cells after the immune system destroys BCG-infected urothelium cells after BCG and IL-2 immunotherapy influences success in bladder cancer treatment. To do this, we introduce a system of differential equations where the variables are the main participants in the immune response after BCG installations to fight cancer: the number of tumor cells, BCG cells, immune cells, and cytokines involved in the tumor-immune response. The relevant parameters describing the dynamics of the system are taken from a variety of biological, clinical literature and estimated using the mathematical models. We examine the local stability analysis of non-negative equilibrium states of the model. In theory, treatment could improve system stability, and we analyze the stability of all equilibria using the method of Lyapunov functionals construction and the method of linear matrix inequalities (LMIs). Our results prove that the period for the proliferation of tumor antigen-specific effector cells does not influence to the success of the non-responsive patients after an intensified combined BCG + IL-2 treatment.
Keywords
cancer modeling, combined treatment model, discrete time delay, linear matrix inequalities (LMIs), Lyapunov functionals, stability conditions
Subject
Suggested Citation
Bunimovich-Mendrazitsky S, Shaikhet L. Stability Analysis of Delayed Tumor-Antigen-ActivatedImmune Response in Combined BCG and IL-2Immunotherapy of Bladder Cancer. (2021). LAPSE:2021.0566
Author Affiliations
Bunimovich-Mendrazitsky S: Department of Mathematics, Ariel University, Ariel 40700, Israel [ORCID]
Shaikhet L: Department of Mathematics, Ariel University, Ariel 40700, Israel
Journal Name
Processes
Volume
8
Issue
12
Article Number
E1564
Year
2020
Publication Date
2020-11-27
Published Version
ISSN
2227-9717
Version Comments
Original Submission
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PII: pr8121564, Publication Type: Journal Article
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LAPSE:2021.0566
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doi:10.3390/pr8121564
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Jun 21, 2021
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CC BY 4.0
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Jun 21, 2021
 
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Original Submitter
Calvin Tsay
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