EFFECTS OF AN INDWELLING HOLLOW FIBER OXYGENATOR ON BLOOD FLOW IN THE VENA CAVA: THEORETIC,MATHEMATICAL,AND EXPERIMENTAL CONSIDERATIONS
EFFECTS OF AN INDWELLING HOLLOW FIBER OXYGENATOR ON BLOOD FLOW IN THE VENA CAVA: THEORETIC,MATHEMATICAL,AND EXPERIMENTAL CONSIDERATIONS
摘要
Modeling for evaluation of effects of an indwelling hollow fiber oxygenator on the blood flow in human vena cava was carried out with involving an additional resistance term and variable vessel radius in the blood flow equation.The test of the stress-strain relationshiP of Pig′s vena cava was performed usingthe precise stress-strain instrument in our laboratory. The relationship between thecircumferential strain and stress of difrerent sections were introduced in determining the aditional resistance to the blood flow. An explicit difference method and iteration method were used to determine the additional pressure drop. The calculatedresults quantitatively reveal that the effect of the indwelling oxygenator on theblood flow is dependent upon the configuration of the oxygenator,the size of the vena cava vessel and its elasticity,and the blood flow,etc.. The low elastic modulus ofthe vena cava decreases the additional pressure drop significantly.
Modeling for evaluation of effects of an indwelling hollow fiber oxygenator on the blood flow in human vena cava was carried out with involving an additional resistance term and variable vessel radius in the blood flow equation.The test of the stress-strain relationshiP of Pig′s vena cava was performed usingthe precise stress-strain instrument in our laboratory. The relationship between thecircumferential strain and stress of difrerent sections were introduced in determining the aditional resistance to the blood flow. An explicit difference method and iteration method were used to determine the additional pressure drop. The calculatedresults quantitatively reveal that the effect of the indwelling oxygenator on theblood flow is dependent upon the configuration of the oxygenator,the size of the vena cava vessel and its elasticity,and the blood flow,etc.. The low elastic modulus ofthe vena cava decreases the additional pressure drop significantly.
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