The number of liters of blood your heart pumps in a minute is called your cardiac output.To measure a patient’s cardiac output doctors may use the dye-dilution technique (inject 5-10 mg of dye in a main vein near the heart and measure its concentration). To calculate the patient’s cardiac output, we divide the amount of dye by the area under the dye concentration curve and multiply the result by 60:Cardiac output = (amount of dye / area under the curve)×60. The table below gives dye concentration for a dye-dilution cardiac output. The amount of dye injected was 8 mg. Sketch the graph and rectangles. Shade the area of approximation. Estimate the area under the curve and calculate the cardiac output from this estimate. Cardiac output?
The number of liters of blood your heart pumps in a minute is called your cardiac output.To measure a patient’s cardiac output doctors may use the dye-dilution technique (inject 5-10 mg of dye in a main vein near the heart and measure its concentration). To calculate the patient’s cardiac output, we divide the amount of dye by the area under the dye concentration curve and multiply the result by 60:Cardiac output = (amount of dye / area under the curve)×60. The table below gives dye concentration for a dye-dilution cardiac output. The amount of dye injected was 8 mg. Sketch the graph and rectangles. Shade the area of approximation. Estimate the area under the curve and calculate the cardiac output from this estimate. Cardiac output?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The number of liters of blood your heart pumps in a minute is called your cardiac output.To measure a patient’s cardiac output doctors may use the dye-dilution technique (inject 5-10 mg of dye in a main vein near the heart and measure its concentration). To calculate the patient’s cardiac output, we divide the amount of dye by the area under the dye concentration curve and multiply the result by 60:Cardiac output = (amount of dye / area under the curve)×60. The table below gives dye concentration for a dye-dilution cardiac output. The amount of dye injected was 8 mg. Sketch the graph and rectangles. Shade the area of approximation. Estimate the area under the curve and calculate the cardiac output from this estimate.
Cardiac output?
Transcribed Image Text:5:24 PM Thu Jul 1
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10
Time (s) after injection
Dye
concentration
t
8
7
4
2.5
5
8
8.
5
10
7
4
14
3
18
3
2
22
2
26
.5
30
2
4
6
8 10 12 14 16 18 20 22 24 26 28 30
-1
Use midpoints of the intervals and the width Ax=2, find area under the curve = sum of the area
of approximating rectangles.
Area under the curve =
4
| 4
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