Periodicity in cell dynamics in some mathematical models for the treatment of leukemia

被引：0
|
作者：
Halanay, A. [1 ]
机构：
[1] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania
来源：
9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2012) | 2012年 / 1493卷
关键词：
periodic solution; guiding function; stability; asymmetric division; stem cell; CHRONIC MYELOGENOUS LEUKEMIA; CHRONIC MYELOID-LEUKEMIA; STEM; HEMATOPOIESIS; OSCILLATIONS; STABILITY; DIVISION;
D O I：
10.1063/1.4765527
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A model for the evolution of short-term hematopoietic stem cells and of leukocytes in leucemia under periodic treatment is introduced. It consists of a system of periodic delay differential equations and takes into consideration the asymmetric division. A guiding function is used, together with a theorem of Krasnoselskii, to prove the existence of a strictly positive periodic solution and its stability is investigated.
引用
收藏
页码：446 / 450
页数：5
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