Abstract
Two theoretical models are presented which determine the hemodynamics in microvascular networks and porous-media-like tissues. The models differ completely due to the structural differences of the two systems. The network model incorporates experimental data for the hemorheology and predicts the flows, pressures, hematocrit values and viscosities for all individual vessels of arbitrary microvascular networks. As an example, the capillary bed of the cat sartorius muscle is analysed using the model. The fluid mechanics of porous media is applied to the hemochorial multivillous placenta. The mathematical approach is based on the application of potential theory. Numerical results provide a simulation of the trajectories of maternal blood and the pressure distribution in the intervillous space. In an experimental study with an enlarged mechanical model of a placental functional unit, the pressure loss and permeability could be determined. The permeability agreed remarkably well with a value predicted by the Carman-Kozeny equation.
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Papenfuss, H.D., Schmid-Schönbein, H. (1990). Blood Flow in Microcirculatory Networks and Porous-Media-Like Tissues. In: Mosora, F., Caro, C.G., Krause, E., Schmid-Schönbein, H., Baquey, C., Pelissier, R. (eds) Biomechanical Transport Processes. NATO ASI Series, vol 193. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1511-8_23
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DOI: https://doi.org/10.1007/978-1-4757-1511-8_23
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