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

页码：446 / 450

页数：5

共 50 条

[1] TREATMENT INDUCED PERIODIC SOLUTIONS IN SOME MATHEMATICAL MODELS OF TUMORAL CELL DYNAMICS
Halanay, Andrei
MATHEMATICAL REPORTS, 2010, 12 (04): : 329 - 337
[2] SOME THOUGHTS ON MATHEMATICAL MODELS FOR FLIGHT DYNAMICS.
Thomas, H.H.B.M.
1984, (88):
[3] SOME THOUGHTS ON MATHEMATICAL-MODELS FOR FLIGHT DYNAMICS
THOMAS, HHBM
AERONAUTICAL JOURNAL, 1984, 88 (875): : 169 - 178
[4] NONLINEAR DYNAMICS OF CELL CYCLES WITH STOCHASTIC MATHEMATICAL MODELS
Melnik, Roderick V. N.
Wei, Xilin
Moreno-Hagelsieb, Gabriel
JOURNAL OF BIOLOGICAL SYSTEMS, 2009, 17 (03) : 425 - 460
[5] Mathematical modeling numerical determination of coefficients in some mathematical models of nonisothermal sorption dynamics
Tuikina S.R.
Solov'eva S.I.
Computational Mathematics and Modeling, 2010, 21 (2) : 117 - 126
[6] SOME MATHEMATICAL-MODELS FOR POPULATION-DYNAMICS THAT LEAD TO SEGREGATION
GURTIN, ME
QUARTERLY OF APPLIED MATHEMATICS, 1974, 32 (01) : 1 - 9
[7] Periodicity versus chaos in the dynamics of cobweb models
Gallas, JAC
Nusse, HE
JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 1996, 29 (03) : 447 - 464
[8] SOME MATHEMATICAL ASPECTS OF MODELING CELL-POPULATION DYNAMICS
GYORI, I
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 20 (4-6) : 127 - 138
[9] Mathematical Models for Cell Migration with Real-Time Cell Cycle Dynamics
Vittadello, Sean T.
McCue, Scott W.
Gunasingh, Gency
Haass, Nikolas K.
Simpson, Matthew J.
BIOPHYSICAL JOURNAL, 2018, 114 (05) : 1241 - 1253
[10] Quantitative Decomposition of Dynamics of Mathematical Cell Models: Method and Application to Ventricular Myocyte Models
Shimayoshi, Takao
Cha, Chae Young
Amano, Akira
PLOS ONE, 2015, 10 (06):

← 1 2 3 4 5 →