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Deriving Fractional Anisotropy

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rmanay1707

rmanay1707

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Hi,
I have been trying to mathematically derive the formula to find FRACTIONAL ANISOTROPY
(Fractional anisotropy is a method that is used to emphasize and evaluate white matter fiber tracts)

The formula that is given in many textbooks and published paper is

Screen_Shot_2016-06-27_at_2.32.38_PM_nu9j5u.png


I understand the purpose of Lambda but unable to understand the need for SQUAREROOT (3/2)

Please do kindly explain the reason behind having SQUAREROOT(3/2) for the Fractional Anisotropy formula

-Rahul Manay
 
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