AGE-STRUCTURED AND 2-DELAY MODELS FOR ERYTHROPOIESIS

被引：138
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.
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页码：317 / 346
页数：30
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