(see K2=8 liter/hr Assume the pool of fluid in the body of a patient undergoing dialysis can be been modeled as a one-compartment system as shown below, where R is the rate of production of urea by the patient's body: Vr is the total pool of fluid in the body, CT is the concentration of urea in the total pool of fluid in the body: K2 is the clearance rate constant for the dialysis unit. Urea removed by Urea production Total pool of dialysis unit fluid in body R-K CT R Vr k CT VT ST Derive the unsteady-state mass balance of urea for this one-compartment model. For patient X, the following parameters apply for the one-compartment analysis: R = 100 mg/h V, = 35 liters ky = 8 liters/h When patient X arrives at the dialysis unit his blood urea nitrogen (BUN) is 150 mg/liter. Use MATLAB LiveScript to create a document with headers, descriptions and figures with captions. 150 mg) Lit a) Numerically solve for concentration as a function of time using appropriate MATLAB built-in ODE solvers and graphically compare to the analytic solution b) Determine how many hours of dialysis the patient will require in order to reduce the level of BUN to 75 mg/liter. c) After the completion of the treatment, determine how long it will take for the BUN of the patient to rise back to the 150 mg/liter level. we will compare these results with those of a two- of body fluids (see K2=8 liter/hr Assume the pool of fluid in the body of a patient undergoing dialysis can be been modeled as a one-compartment system as shown below, where R is the rate of production of urea by the patient's body: Vr is the total pool of fluid in the body, CT is the concentration of urea in the total pool of fluid in the body: K2 is the clearance rate constant for the dialysis unit. Urea removed by Urea production Total pool of dialysis unit fluid in body R-K CT R Vr k CT VT ST Derive the unsteady-state mass balance of urea for this one-compartment model. For patient X, the following parameters apply for the one-compartment analysis: R = 100 mg/h V, = 35 liters ky = 8 liters/h When patient X arrives at the dialysis unit his blood urea nitrogen (BUN) is 150 mg/liter. Use MATLAB LiveScript to create a document with headers, descriptions and figures with captions. 150 mg) Lit a) Numerically solve for concentration as a function of time using appropriate MATLAB built-in ODE solvers and graphically compare to the analytic solution b) Determine how many hours of dialysis the patient will require in order to reduce the level of BUN to 75 mg/liter. c) After the completion of the treatment, determine how long it will take for the BUN of the patient to rise back to the 150 mg/liter level. we will compare these results with those of a two- of body fluids