COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS(Ⅱ)—ALCULATION AND THE RESULTS

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (5): 579-584.

COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS(Ⅱ)—ALCULATION AND THE RESULTS

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:1998-08-01 修回日期:1999-12-26 出版日期:2000-05-18 发布日期:2000-05-18
基金资助:
the Natural Science Foundation of Sichuan Province, P. R. China

COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS(Ⅱ)—ALCULATION AND THE RESULTS

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

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

Received:1998-08-01 Revised:1999-12-26 Online:2000-05-18 Published:2000-05-18
Supported by:
the Natural Science Foundation of Sichuan Province, P. R. China

摘要/Abstract

摘要： The mathematical model described in Part I was solved using “influence line method” combining analytical method and finite element method. Many important aspects of microcirculatory dynamics were analyzed and discussed. It show that interstitial fluid pressure changes its sign twice within one arteriolar vasomotion period and it is therefore not important that interstitial fluid pressure is a little higher or lower than atmospheric pressure; arteriolar vasomotion can periodically result in lymph formation and interstitial total pressure plays an important role in this procedure; local regulation of microcirculation can meet metabolic need some extent in the form of dynamic equilibrium. The property of arteriole as a “resistant vessel” and the efficiency of microvascular network as heat exchanger are also shown. These results show that the comprehensive mathematical model developed in Part I is physiologically reasonable.

Abstract: The mathematical model described in Part I was solved using “influence line method” combining analytical method and finite element method. Many important aspects of microcirculatory dynamics were analyzed and discussed. It show that interstitial fluid pressure changes its sign twice within one arteriolar vasomotion period and it is therefore not important that interstitial fluid pressure is a little higher or lower than atmospheric pressure; arteriolar vasomotion can periodically result in lymph formation and interstitial total pressure plays an important role in this procedure; local regulation of microcirculation can meet metabolic need some extent in the form of dynamic equilibrium. The property of arteriole as a “resistant vessel” and the efficiency of microvascular network as heat exchanger are also shown. These results show that the comprehensive mathematical model developed in Part I is physiologically reasonable.

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(Ⅱ)—ALCULATION AND THE RESULTS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 579-584.

Guo Zhongsan;Xiao Fan;Guo Siwen;Wu Yueqing;Gu Leye. COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS(Ⅱ)—ALCULATION AND THE RESULTS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 579-584.

参考文献

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COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS(Ⅱ)—ALCULATION AND THE RESULTS

COMPREHENSIVE MATHEMATICAL MODEL OF MICROCIRCULATORY DYNAMICS(Ⅱ)—ALCULATION AND THE RESULTS

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