Personalized Immunotherapy Treatment Strategies for a Dynamical System of Chronic Myelogenous Leukemia

This paper is devoted to exploring personalized applications of cellular immunotherapy as a control strategy for the treatment of chronic myelogenous leukemia described by a dynamical system of three first-order ordinary differential equations. The latter was achieved by applying both the Localizati...

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Bibliographic Details
Published in:Cancers Vol. 13; no. 9; p. 2030
Main Authors: Valle, Paul A., Coria, Luis N., Plata, Corina
Format: Journal Article
Language:English
Published: Switzerland MDPI AG 22.04.2021
MDPI
Subjects:
Blood
Bone marrow
Cancer
Cancer therapies
Chemotherapy
Chronic myeloid leukemia
Clinical trials
Drug dosages
Effector cells
Evolution
Immunotherapy
Leukemia
Localization
Lymphocytes T
Mathematical models
Medical prognosis
Mutation
Myeloid leukemia
Ordinary differential equations
Patients
Prostate cancer
Simulation
System theory
Tumors
Vaccines
adaptive T-cell therapy
leukemia
in silico
asymptotic stability
localizing domain
ISSN:2072-6694, 2072-6694
Online Access:Get full text
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Summary:This paper is devoted to exploring personalized applications of cellular immunotherapy as a control strategy for the treatment of chronic myelogenous leukemia described by a dynamical system of three first-order ordinary differential equations. The latter was achieved by applying both the Localization of Compact Invariant Sets and Lyapunov’s stability theory. Combination of these two approaches allows us to establish sufficient conditions on the immunotherapy treatment parameter to ensure the complete eradication of the leukemia cancer cells. These conditions are given in terms of the system parameters and by performing several in silico experimentations, we formulated a protocol for the therapy application that completely eradicates the leukemia cancer cells population for different initial tumour concentrations. The formulated protocol does not dangerously increase the effector T cells population. Further, complete eradication is considered when solutions go below a finite critical value below which cancer cells cannot longer persist; i.e., one cancer cell. Numerical simulations are consistent with our analytical results.
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ISSN:2072-6694
2072-6694
DOI:10.3390/cancers13092030