The pool of fluid in the body of a patient undergoing dialysis has been modeled by Enderle et al. (2005) as a two-compartment system, as shown diagrammatically in Figure 7.18, where R is the rate of production of urea by the patients 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 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 rate constant for the dialysis unit. V1*(dC1/dt)=R-k12C1+k21C2 V2*(dC2/dt)=k12C1-k21C2-k2C2 An unsteady-state mass balance of urea on each of the compartments yields the following two differential equations: R = 100 mg/h k12=33 l/hr k12=33 l/hr 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. Integrate the differential equations (1) to obtain answers to the following: How many hours of dialysis will the patient require in order to reduce the level of BUN to 75 mg/liter? After the completion of the treatment, how long will it take for the BUN of the patient to rise back to the 150 mg/liter level? Experiment with setting the values of k12 and k21 to be unequal to each other (say k21 = 0.7 k12, i.e., slower transfer from the extracellular pool to the intra- cellular one) and interpret the results. Show clearly how you obtain your answers, and illustrate this by showing the concentrations vs. time profiles of C1 and C2 in all parts of the problem.

NEED TO DO WORKED OUT AND IN MATLAB please