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Determining the Volume of a Tumor
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ellipsoid image
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Calculating the volume of an ellipsoid:
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formula
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A pile of ellipsoids or peanut M&M's!
For a tumor, measure its length, width, and depth.
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(plain M&M's are oblate spheroids)
...and let's consider the measurement error and
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different mathematical models to compute the
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tumor volume.
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Tumors are shaped approximately like ellipsoids.
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ellipsoid > spheroid >sphere
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a > b > c a > b = c (1)a = b = c
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a = b > c (2)
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Click on the tabs to navigate!!!
(1) prolate (2) oblate
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ellipsoidprolate spheroid
oblate spheroid
sphere
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oriented with "a" in the vertical position
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generated using an interactive tool:
http://demonstrations.wolfram.com/Ellipsoid/
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