微循环系统动力学综合数学模型研究(Ⅰ)——理论基础

郭仲三; 肖帆; 郭四稳; 伍岳庆; 古乐野

微循环系统动力学综合数学模型研究(Ⅰ)——理论基础

中科院成都计算所, 成都 610041

基金项目: 四川省应用基础研究基金

详细信息

作者简介:
郭仲三(1947~ ),男,硕士,副研究员,已发表论文二十几篇.

中图分类号: O368;O242.1
计量
- 文章访问数: 2068
- HTML全文浏览量: 35
- PDF下载量: 659
- 被引次数: 0
出版历程
- 收稿日期: 1998-07-19
- 修回日期: 1999-04-20
- 刊出日期: 1999-09-15

Comprehensive Mathematical Model of Microcirculatory Dynamics(Ⅰ)——Basic Theory

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

摘要

摘要: 根据微循环系统的生理情况,建立了微循环系统动力学非定常、非线性分布参数模型,包括血液动力学、间质动力学、淋巴动力学、蛋白质传输动力学、氧动力学、热量传输动力学和肌原性与代谢性调控过程,综合反映了它们之间的相互作用,并考虑了微动脉自律运动和血液非线性粘弹性的影响.几何模型是一个包括微动脉、开放与储备毛细血管、微静脉、初始淋巴管和微动静脉吻合支的简单网络.这种综合模型有助于临床数据的分析研究和“数值实验手段”的建立.
- 微循环系统 /
- 综合数学模型 /
- 相互作用 /
- 数值实验
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.
- microcirculatory system /
- comprehensive mathematical model /
- interaction /
- numerical experiment

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参考文献(13)

[1]	Duran W N,Marsicano T H,Anderson R W.Capillary reserveini sometrically contractingdog hearts[J].Am J Physiol,1977,233(2):H276~ H281.
[2]	郭仲三.微血管自律运动的流体力学及血液粘弹性质的影响[J].应用数学和力学,1992,13(2):157~163.
[3]	Pries A R,Secomb T W,Gaehtgens P,et al.Blood flow in microvascular networks:experiments and simulation[J].Circ Res,1990,67:826~834.
[4]	Pries A R,Ley K,Claassen M,etal.Red celldi stribution at microvascular bifurcations[J].Microvasc Res,1989,38(1):81~101.
[5]	Taylor D G,Bert J L,Bowen B D.A mathematical model of interstitialtransport I.Theory[J].Microvasc Res,1990,39(3):253~278.
[6]	Siberberg A.Transport through deformable matrices[J].Biorheology,1989,26(2):291~313.
[7]	Guyton A C,Granger H J,Taylor A E.Interstitial fluid pressure[J].Physiol Rev,1971,51(3):527~563.
[8]	Casley-Smith J R.Lymph and lymphatics[A].In:Kaley G,Altura B M Eds.Microcirculation Vol.1[C].Baltimore,London,Tokyo:Univ Park Press,1977,423~502.
[9]	Granger H J,Shepherd A P.Dynamics and control ofthe microcirculation[J].Adv in Biomed Eng,1979,7:1~63.
[10]	Hogan R D,Unthank J L.The initiallym phatics as sensors of interstitialfluid volume[J].Microvasc Res,1986,31(3):317~324.
[11]	Schmid-Schonbein G W.Microlym phatics and lymph flow[J].Physiol Rev,1990,70(4):987~1028.
[12]	郭仲三.论微循环系统中结构与介质的相互作用[A].见:曹志远主编.结构与介质的相互作用理论及其应用[C],北京:河海大学出版社,1993,125~133.
[13]	Chato J C.Therm alproperties of tissues[A].In:Skalak R,Chien S Eds.Hand book of Bioengineering[M].New York,Auckland,St Louis,San Francisco,Bogota,Hamburg,Johannes burg,London,Madrid,Mexico,Milan,Montreal,New Delhi,Panama,Paris,Sao Paulo,Singapore,Sydney,Tokyo,Toronto:Mc Graw-Hill Book Company,1987,9.1~9.13.