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Imaging in Transport Processes

ISBN 打印: 978-1-56700-382-6

A MULTISUBSTRATE BLOOD-TISSUE EXCHANGE MODEL FOR THE ANALYSIS OF TRANSIENTS IN CARDIAC TRACER

Abstract

Beginning with Christian Bohr's demonstration that the concentration of a solute escaping from a long tube should diminish exponentially as a function of distance from the entry to the tube, there has been a continuing development of mathematical models of the exchange processes between the blood in a capillary and the fluid in the surrounding tissue. Early models used compartmental analysis with one compartment representing the blood (or plasma) space and a second representing all the extravascular tissue space, e.g., Sapirstein. Through the years, the modeling of blood-tissue exchange has evolved in several aspects: inclusion of additional anatomical regions (e.g., endothelial and parenchymal cells), distributed models that can exhibit axial (i.e., arterial to venous) concentration gradients, and improved analytical and numerical techniques that increase both accuracy and computational speed.
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