Analytical solutions for the specific activities of a traced substance within the component parts of a simulated kidney-ureter system |
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Authors: | J. O. Lawson H. R. Branson |
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Affiliation: | (1) The University of Texas at El Paso, El Paso, Texas;(2) Central State University, Wilberforce, Ohio |
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Abstract: | Two models for a kidney-ureter system are considered: one model of one vessel in which a traced substance, undergoing exchange between the vessel and an external compartment, is emptying into the ureter; the second model of two approximately parallel, identical vessels in which a traced substance, undergoing exchange between each vessel and an external compartment, is emptying into the ureter. A single impulsive input of label into a vessel is assumed. For mathematical simplicity, the major conditions imposed on each system are: (1) rapid mixing transverse to a vessel axis and no mixing longitudinal to a vessel axis within the plasma; (2) small variation of the specific activity within the plasma in the longitudinal direction to a vessel axis; (3) constant flow rate of urine into the ureter and (4) constant exchange coefficients, tubule flow velocity and traced substance concentrations within individual compartments. |
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