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

• Articles • Previous Articles     Next Articles

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

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

  1. 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

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.

2010 MSC Number: 

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