文章基本信息

标题：A mathematical model with time-varying delays in the combined treatment of chronic myeloid leukemia
本地全文：下载
作者：Leonid Berezansky ; Svetlana Bunimovich-Mendrazitsky ; Alexander Domoshnitsky 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：217
DOI：10.1186/1687-1847-2012-217
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we propose and analyze a mathematical model for the treatment of chronic myelogenous (myeloid) leukemia (CML), a cancer of the blood. Our main focus is on the combined treatment of CML based on imatinib therapy and immunotherapy. Treatment with imatinib is a molecular targeted therapy that inhibits the cells involved in the chronic CML pathogenesis. Immunotherapy based on interferon alfa-2a (IFN-α) increases cancer cell mortality and leads to improvement of outcomes of the combined therapy. Interaction between CML cancer cells and effector cells of the immune system is modeled by a system of non-linear differential equations, where we introduced biologically motivated time-varying delays in the treatment terms. The analysis of the described system shows the existence of a unique global positive solution and a unique non-trivial equilibrium. We also derive explicit local and global stability conditions for the non-trivial equilibrium.
关键词：mathematical model ; time delay ; global stability ; CML treatment