1 Email: ghding@fudan.edu.cn 1. 1 973 2005CB523306 10142002 20020246027-1 -
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A B C - 3 -
z- 3 y- 1875µm x- 315µm 2000µm y- 400µm x- x- 3 z x y x y z x-z z- Darcy x- 3-4 -
- 5 - http://www.paper.edu.cn µ p= µ u u k p u =0 u p µ kp u p u* =, p* = 2 U ρu x kp x* =, k = 2 D D ρ 1 1 p* = * * Re u u Re k u* =0 ρud Re = µ p = p a p v λ1 R p α ν = ( ξ ) µ p c p a p v p p Π Π x p* = po +Π Π i o α = p a p* ξ = l o o i l R µ c kc λ1 = µ c kc R
- 6 - http://www.paper.edu.cn 7 3 0 kc p o p a p v Π o Π i m µ m µ m µ p p k p Π Π p* U λ 1 o R p µ c α p a = c o v i
15 0.5 2.5 k = 1.2 10 φ ( φ φ ) 15 2.5 k = 1.1 10 φ (1 φ) min 0.33 φ min = 1 π /4 4-7 -
2.5U1.5mm/min the value of maximum dimensionless velocity 25 20 15 10 6 4 2 0 po (2D Calculation) pv (2D Calculation) pa (2D Calculation) po (3D Calculation) pv (3D Calculation) pa (3D Calculation) -6-4 -2 0 2 4 6 the value of p (mmhg) p p p o a v - 8 -
the value of dimensionless velocity on y-axis 6 5 4 3 2 1 porosity=0.30 porosity=0.32 porosity=0.34 porosity=0.36 porosity=0.38 porosity=0.40 0 0 100 200 300 dimensionless y coordinate 400 500 (a) the maximum dimensionless velocity 6.0 5.6 5.2 0.30 0.32 0.34 0.36 porosity 0.38 0.40 (b) - 9 -
z y ' = 0 p p p o po the maximum shear stress on mass cell x 15 12 9 6 3 y y po pv pa x z a v 0-4 -2 0 2 4 6 the value of p (mmhg) - 10 -
13 maximum shear stress on mast cell 12 11 10 9 8 0.32 0.34 0.36 0.38 0.40 porosity 5. A B - 11 -
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A 3-D Dynamic Model of the Interstitial fluid flow in Human Connective Tissue and Its Application in the Analysis on the Mechanism of Acupuncture Signal Transmission Ding Guanghong, Yao Wei, Dang Ruishan, Shenxueyong, Yang Jing, Chen Eryu Department of Mechanics and Engineering Science, Fudan University Shanghai, 200433 Shanghai Research Center of Acupuncture and Meridians, Shanghai University of TCM The Second Medical University Of PLA Abstract On the base of deep part dissection of acupoints on the upper limbs of human body and the micro and macro observation and measurement, we constructed a mathematical model on the flow of the tissue fluid in interosseous membrane. By this model, we get to know the characteristics of the tissue-fluid flow and the influence of tissue-fluid flow on superficial shear stress of mast cell. The results of this study preliminarily explain the feeling-along-meridian phenomenon and the acupuncture mechanism. When being acupunctured, the related mast cells will be activated to discharge particles. The histamine in the particles will increase the transmission capacity of capillary and the velocity of the tissue-fluid flow and the superficial shear stress of related mast cell will be increased, which will once again activate mast cells to discharge active substance. Part of the active substance will be absorbed by capillary and the other part will be passed by tissue fluid to a remote place and it will activate the mast cells and the capillaries there. The directional path of the tissue fluid is approximately the same as the meridian, which forms the phenomenon of feeling-along-meridian on macroscale. Keywords: interstitial fluid flow, meridians, mast cell, acupuncture - 14 -