Midterm1Solution

Midterm1Solution - BME 210 Spring 2009 Name: _ MIDTERM...

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1 BME 210 Spring 2009 Name: _______________________________ MIDTERM EXAMINATION #1 (1 hr 15 min) (10 points) 1. A dye-dilution procedure was performed in a patient in which dye was injected into the superior vena cava and the dye concentrations (C(t)) given in the table below were measured in the aorta at several times. t - time (sec) C ( t ) – dye concentration (mg/L) 0.0 0.0 2.0 20.0 4.0 15.0 6.0 12.0 8.0 10.0 10.0 5.0 12.0 2.0 Using these data, estimate the area under the dye concentration-time curve using Simpson’s method (include the units for your result). () 1234567 2 (;) ()4 ()2 3 2 200.0 3 133.3mg sec/ S C P c tc t L = ++++++ + = =−
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2 (10 points) 2. Assume the dye dilution curve shown below was recorded following a dye dilution experiment performed to measure blood flow to the pancreas. If 10mg of dye was injected into the artery supplying the complete blood flow to the pancreas and if the concentration curve shown below was obtained in the single vein leaving the pancreas, calculate the blood flow to the pancreas. Assume there is no recirculating dye. Provide your answer for blood flow through the panaceas ( Fp ), in units of liters/min. 0 0.2 0.3 0.4 0.5 0.1 100.0 Time (min) () 10.0 10.0 10.0 1/ 2(100.0*0.1) 100.0*0.2 1/ 2(100.0*0.1) 30.0 0.333 / min Fp Ctd t Fp L == = ++ =
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3 (15 points) 3. Consider the system shown below in which the heart and lungs are represented by two well-stirred tanks with concentrations and volumes as indicated. Assume the concentration in each tank is homogenous. The flow through the system (cardiac output) is Q. A mass D of dye is introduced at time 0 into the tank one (and mixes instantly). At time 0 the concentration of dye in tank two is zero
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Midterm1Solution - BME 210 Spring 2009 Name: _ MIDTERM...

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