__Fractal_Dim__

Fractal dimension (D) of neuronal branches is computed as the slope of linear fit of regression line obtained from the log-log plot of Path distance vs Euclidean distance.

This method of measuring the fractal follows the reference given below by Marks & Burke, J Comp Neurol. 2007.

-When D = 1, the particle moves in a straight line.

-When D = 2, the motion is a space-filling random walk

-When D is only slightly larger than 1, the particle trajectory resembles a country road or a dendrite branch.

This method of measuring the fractal follows the reference given below by Marks & Burke, J Comp Neurol. 2007.

-When D = 1, the particle moves in a straight line.

-When D = 2, the motion is a space-filling random walk

-When D is only slightly larger than 1, the particle trajectory resembles a country road or a dendrite branch.

The slope of line of regression is computed using.

Slope(b): Σlog( 1+e i )log(1+p i )

Σlog( 1+e i ) 2

( e i is EucDistance and p i is PathDistance)

Slope(b): Σlog( 1+e i )log(1+p i )

Σlog( 1+e i ) 2

( e i is EucDistance and p i is PathDistance)