ECE_3820_2011_Hw2

ECE_3820_2011_Hw2 - A 1 = 143(mg/100mL A 2 = 57(mg/100mL ...

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ECE 3820: Principles and Practice of Biomedical Engineering Homework #2 Problem 1 : Solve problem 1.8 in the Ritter textbook. Problem 2 : Suppose 500mg of dye was introduced into the plasma compartment. After reaching steady state, the concentration in the blood was measured to be 0.0893 mg/cm 3 . Find the volume of the plasma compartment. Problem 3 : A radioactive bolus of I 131 is injected into the plasma compartment. The time dependence of the concentration of I 131 in the plasma is estimated as t e t q 6 . 1 1 143 ) ( = The units of q 1 (t) are mg/100mL. The amount of I 131 injected was 10g. a) Find the volume of the plasma compartment. b) Determine K=K 1 + K 2 . Problem 4 : A radioactively labeled bolus of substance is injected intravenously into the plasma. The time dependence of the concentration of the substance in the plasma was found to fit the equation t t e A e A t q 2 1 2 1 1 ) ( λ + = where q 1 = concentration of substance in the plasma (mg/100mL)
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Unformatted text preview: A 1 = 143 (mg/100mL) A 2 = 57 (mg/100mL) λ 1 = -1.6 (1/day) λ 2 = -2.8 (1/day) 10g of the substance was injected. The compartmental model is shown below. a) Find the volume of the plasma compartment. b) Determine the transfer rates K 1 , K 2 , and K 3 . V 1 q 1 (t) injection plasma urine V 2 q 2 (t) unknown K 2 K 1 K 3 Problem 5 : Consider the compartmental system shown below. A bolus of solute is injected into compartment 2. a) Write a single differential equation involving only the function q 1 (t) and constants. b) Write a single differential equation involving only the function q 2 (t) and constants. c) Write a single differential equation involving only the function q 3 (t) and constants. V 1 q 1 (t) urine V 2 q 2 (t) K 21 K 12 K 10 V 3 q 3 (t) K 13 K 32...
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This note was uploaded on 11/14/2011 for the course ECE 3820 taught by Professor Wang during the Fall '11 term at GWU.

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ECE_3820_2011_Hw2 - A 1 = 143(mg/100mL A 2 = 57(mg/100mL ...

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