BENG 449 Problem 7 5

# BENG 449 Problem 7 5 - 12:46 AM C\Documents and...

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4/4/08 12:46 AM C:\Documents and Settings\Alex Lemon\My...\BENG 449 Problem 7 5.m 1 of 3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Alex Lemon % % BENG 449 -- Biomedial Data Analysis % % Problem Set 7, Question 5 % % Due April 4th, 2008 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % The pool of fluid in the body of a pateient undergoing dialysis has been % modeled by Enderle et al. (2005) as a two-compartment systme, as show % diagrammatically in Figure 7.18, where R is the rate or production of % urea by teh patient's body; V1 is the volume of the intracellular fluid; % V2 is the volume of the extracellular fluid (blood and interstitial % fluids); C1 and C2 are the concentrations of the urea in the fluids of % the two compartments, respectively; k12 and k21 are the mass transport % parameters between the two compartments; and k2 is the clearance constant % for the dialysis unit. An unsteady-state mass balance of urea on each of % the compartments yields the following two differential equations: % V1 dC1/dt = R - k12 * C1 + k21 C2 % V2 dC2/dt = k12 * C1 - k21 * C2 - k2 * C2 % For Patient X, the following parameters apply: % R = 100 mg/h k12 = 33 liters/h k21 = 33 liters/h % V1 = 10 liters V2 = 25 liters % The dialysis unit clearance rate constant is k2 = 8 liters/h. % When Patient X arrives at the dialysis unit, his blood urea nitrogen % (BUN) is 150 mg/liter.

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