COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS (Ⅰ)——BASIC THEORY

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (9): 1014-1022.

COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS (Ⅰ)——BASIC THEORY

郭仲三, 肖帆, 郭四稳, 伍岳庆, 古乐野

Chengdu Institute of Computer Application, Academia Sinica, Chengdu 610041, P. R. China

收稿日期:1998-07-19 修回日期:1999-04-20 出版日期:1999-09-18 发布日期:1999-09-18
基金资助:
the Natural Science Foundation of Sichuan Province, P. R. China

COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS (Ⅰ)——BASIC THEORY

Guo Zhongsan, Xiao Fan, Guo Siwen, Wu Yueqing, Gu Leye

Chengdu Institute of Computer Application, Academia Sinica, Chengdu 610041, P. R. China

Received:1998-07-19 Revised:1999-04-20 Online:1999-09-18 Published:1999-09-18
Supported by:
the Natural Science Foundation of Sichuan Province, P. R. China

摘要/Abstract

摘要： Under the basis of physiological data, a nonlinear and unsteady comprehensive mathematical model of microcirculatory dynamics with distributed parameters is developed. Hemodynamics, interstitium dynamics, lymph dynamics, dynamics of protein transport, oxygen dynamics, dynamics of heat transfer, and myogenic and metabolic regulation procedures are included. The interactions between these factors were comprehensively exhibited. The influences of arteriolar vasomotion and nonlinear viscoelasticity of blood in arteriole are considered. A simplified vessel network consisting of arteriole, open and reserved capillaries, venule, initial lymphatics and arteriole-venule anastomose is adopted as the geometrical model. This kind of comprehensive mathematical model is helpful in analyzing clinical data and developing a “numerical experiment method” in microcirculation research.

关键词: microcirculatory system, comprehensive mathematical model, interaction, numerical experiment

Abstract: Under the basis of physiological data, a nonlinear and unsteady comprehensive mathematical model of microcirculatory dynamics with distributed parameters is developed. Hemodynamics, interstitium dynamics, lymph dynamics, dynamics of protein transport, oxygen dynamics, dynamics of heat transfer, and myogenic and metabolic regulation procedures are included. The interactions between these factors were comprehensively exhibited. The influences of arteriolar vasomotion and nonlinear viscoelasticity of blood in arteriole are considered. A simplified vessel network consisting of arteriole, open and reserved capillaries, venule, initial lymphatics and arteriole-venule anastomose is adopted as the geometrical model. This kind of comprehensive mathematical model is helpful in analyzing clinical data and developing a “numerical experiment method” in microcirculation research.

Key words: microcirculatory system, comprehensive mathematical model, interaction, numerical experiment

中图分类号:

O368
O242.1

郭仲三;肖帆;郭四稳;伍岳庆;古乐野. COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS (Ⅰ)——BASIC THEORY[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(9): 1014-1022.

Guo Zhongsan;Xiao Fan;Guo Siwen;Wu Yueqing;Gu Leye. COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS (Ⅰ)——BASIC THEORY[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(9): 1014-1022.

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COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS (Ⅰ)——BASIC THEORY

COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS (Ⅰ)——BASIC THEORY

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