Analytical theory of oxygen transport in the human placenta.

摘要: We propose an analytical approach to solving the diffusion-convection equations governing oxygen transport in human placenta. show that only two geometrical characteristics of a placental cross-section, villi density and effective radius, are needed predict fetal uptake. also identify combinations physiological parameters determine uptake given placenta: (i) maximal inflow placentone if there were no tissue blocking flow (ii) ratio transit time maternal blood through intervillous space extraction time. derive formulas for fast simple calculation provide diagrams efficiency arbitrary cross-section. finally artificial perfusion experiments with no-hemoglobin tend give two-orders-of-magnitude underestimation vivo optimal geometry such setup alters significantly. The theory allows one adjust results placenta account oxygen-hemoglobin dissociation. Combined image analysis techniques, presented model can easy-to-use tool prediction efficiency.