Title :
A mathematical model of tissue oxygen pressure time dynamics
Author :
Di Giammarco, Patrizia ; Ursino, Mauro ; Belardinelli, Enzo
Author_Institution :
Dept. of Electron. Inf. & Syst. Sci., Bologna Univ., Italy
Abstract :
An original mathematical model of gaseous exchange from capillaries to tissue is presented. Equations for the model have been derived by applying the mass preservation principle to capillary blood and tissue and by making use of Fick´s law. The model has been used to simulate the time pattern of mean tissue oxygen pressure in response to a step alteration in blood flow for two different tissues: the rat´s cerebral gray matter and the sciatic nerve. Simulation allows dependence of tissue oxygen dynamics on the main physical and geometrical model parameters (like intercapillary distance and oxygen consumption rate) to be analyzed.<>
Keywords :
biotransport; physiological models; Fick´s law; capillary blood; cerebral gray matter; gaseous exchange; intercapillary distance; mass preservation principle; mathematical model; rat; sciatic nerve; tissue O/sub 2/ pressure time dynamics;
Conference_Titel :
Engineering in Medicine and Biology Society, 1988. Proceedings of the Annual International Conference of the IEEE
Conference_Location :
New Orleans, LA, USA
Print_ISBN :
0-7803-0785-2
DOI :
10.1109/IEMBS.1988.94658
