In order to investigate the mechanics of serum leakage from expanded polytetrafluoroethylene (EPTFE) vascular prosthesis, we carried out computer simulation of the percolation processes of liquid into the layer in which long round rods or fibers are distributed randomly. The simulation model employed in the present work is as follows. Many circles are generated randomly on the finite plane by avoiding to overlap each other. The plane is then divided into Delaunay triangles. Starting from the state that one side of the plane is exposed to the liquid, the liquid fronts take steps forward with the criteria depending on the distance between two neighbouring circles, the surface tension of the liquid
T and the inside pressure of the liquid
p.
From the simulation for many cases, liquid leakage from the layer was noticed for small values of
dc=
T/
p and
vice versa. Moreover, the following facts became clear for the maximum value of
dc,
dm, even with which the liquid leakage takes place.
(i)
dm2 is inversely proportional to the density of the circles σ.
(ii) When the circle diameter
a is below 1μm,
dm does not change noticeably. It is, however, going to decrease above 1μm and the change of
dm with
a becomes insignificant again, and then
dm approaches to the value around 1/√σ.
(iii) When
a=0, 2
dm=(1.2-1.3)×1/√σ.
Considering these results, the minimum blood pressure for serum leakage from EPTFE vascular prosthesis was estimated to be approximately 140mmHg. This value of the pressure is consistent with the experience of Blalock-Taussig shunt operations using EPTFE vascular prosthesis.
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