AGE-STRUCTURED AND 2-DELAY MODELS FOR ERYTHROPOIESIS

被引：139

作者：

BELAIR, J

MACKEY, MC

MAHAFFY, JM

机构：

[1] UNIV MONTREAL, CTR RECH MATH, MONTREAL, PQ H3C 3J7, CANADA

[2] MCGILL UNIV, CTR NONLINEAR DYNAM, DEPT PHYSIOL, MONTREAL, PQ H3G 1Y6, CANADA

[3] SAN DIEGO STATE UNIV, DEPT MATH SCI, SAN DIEGO, CA 92182 USA

来源：

MATHEMATICAL BIOSCIENCES | 1995年 / 128卷 / 1-2期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0025-5564(94)00078-E

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An age-structured model is developed for erythropoiesis and is reduced to a system of threshold-type differential delay equations using the method of characteristics. Under certain assumptions, this model can be reduced to a system of delay differential equations with two delays. The parameters in the system are estimated from experimental data, and the model is simulated for a normal human subject following a loss of blood. The characteristic equation of the two-delay equation is analyzed and shown to exhibit Hopf bifurcations when the destruction rate of erythrocytes is increased. A numerical study for a rabbit with autoimmune hemolytic anemia is performed and compared with experimental data.

引用

页码：317 / 346

页数：30

共 72 条

[1] FLUCTUATIONS IN T-WAVE MORPHOLOGY AND SUSCEPTIBILITY TO VENTRICULAR-FIBRILLATION [J].