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Appl. Sci. 2016, 6(10), 291; doi:10.3390/app6100291

Dynamical Systems Properties of a Mathematical Model for the Treatment of CML

1
Deppartment of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, IL 62026, USA
2
Institute of Mathematics, Lodz University of Technology, Lodz 90-924, Poland
3
Bristol-Myers Squibb, Quantitative Clinical Pharmacology, Princeton, NJ 08543, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Yang Kuang
Received: 1 September 2016 / Revised: 28 September 2016 / Accepted: 28 September 2016 / Published: 12 October 2016
(This article belongs to the Special Issue Dynamical Models of Biology and Medicine)
View Full-Text   |   Download PDF [470 KB, uploaded 12 October 2016]   |  

Abstract

A mathematical model for the treatment of chronic myeloid leukemia (CML) through a combination of tyrosine kinase inhibitors and immunomodulatory therapies is analyzed as a dynamical system for the case of constant drug concentrations. Equilibria and their stability are determined and it is shown that, depending on the parameter values, the model exhibits a variety of behaviors which resemble the chronic, accelerated and blast phases typical of the disease. This work provides qualitative insights into the system which should be useful for understanding the interaction between CML and the therapies considered here. View Full-Text
Keywords: chronic myeloid leukemia; tyrosine kinase inhibitors; immunomodulatory therapies; combination therapy; equilibrium points chronic myeloid leukemia; tyrosine kinase inhibitors; immunomodulatory therapies; combination therapy; equilibrium points
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ledzewicz, U.; Moore, H. Dynamical Systems Properties of a Mathematical Model for the Treatment of CML. Appl. Sci. 2016, 6, 291.

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