1
BME 210 Spring 2007
Name:
_______________________________
MIDTERM EXAMINATION #1
(1 hr 15 min)
(15 points)
1. A dyedilution procedure was performed in a patient in which 0.5 mg of dye was injected into the
right femoral artery (provides the blood supply to the right leg) and the dye concentrations (C(t))
given in the table below were measured in the right femoral vein at several times. These data have
been corrected for any recirculation. The patient’s right femoral artery blood flow was assumed to be
constant during the course of the experiment.
t
 time (sec)
C
(
t
) – dye concentration (mg/L)
0.0
0.0
2.0
15.0
4.0
10.0
6.0
8.0
8.0
0.0
Using these data, estimate the area under the dye concentrationtime curve using the following
numerical integration methods: trapezoidal rule
and Simpson’s method
.
Also use these two
approximations to calculate the corresponding values of blood flow, F. Express your answer for F in
L/min
.
(See study problem solution to a similar problem.)
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(20 points)
2. Write a complete
MATLAB program that uses the Simpson’s method
to approximate the integral of
the concentration data from a dye dilution experiment. Your program should read the data from a file
named dye.dat
that contains 51 rows, with time and measured dye concentration on each row. Assume
that the measurements are made every 2 seconds with the first measurement at 0 seconds. The
program should print the approximation to the integral and also produce a labeled plot of the dye
concentration data versus time. Be sure to use proper MATLAB syntax in writing your code; it should
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 Spring '07
 D'Argenio
 Differential Equations, Numerical Analysis, Femoral artery, proper MATLAB syntax, dye concentration

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