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MRI Forum: Fractional Anisotropy
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Rahul Manay

Mon. 27 Jun.16,
20:35
Fractional Anisotropy
Hi,
I have been trying to mathematically derive the formula to find FRACTIONAL ANISOTROPYrn(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

FA= Squareroot(3/2) * (Sqaureroot[ (lambda1-lambda)^2 + (lambda2-lambda)^2 + (lambda3-lambda)^2]/ Sqaureroot( Lambda1^2+Lambda2^2+Lambda3^2))



I understand the purpose of Lambda but unable to understand the need for SQUAREROOT (3/2)rnrnPlease do kindly explain the reason behind having SQUAREROOT(3/2) for the Fractional Anisotropy formula
-Rahul Manay

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