Fractal_Dim

Soma_Surface
Fractal dimension metric is calculated for branches of the dendrite trees.
Fractal_Dim: Log (EucDistance)

Log (PathDistance)


Formula: (n-1) Σ( e  i p  i ) - Σ( e  i ) Σ( p  i )

(n-1) Σ( e  i 2 ) - (Σ( e  i )) 2

   ( e  i is EucDistance and p  i is PathDistance)







Function Output Type : Numeric

Calculated : At Every Branch

Command Line Usage Function : "-f44, 0, 0, 10.0"

Output:
Metric Total_Sum #Compartments
(considered)
#Compartments
(discarded)
Minimum Average Maximum S.D.
Fractal_Dim 70.9621 74 (1423) 0.61505 0.95894 1.02758 0.0642655
*All units are in microns

Output Interpretation :

Total_Sum = 70.9621 gives Total_Sum, Minimum = 0.61505 gives minimum, Maximum = 1.02758 gives maximum for given input neuron.


References :
The Branch needs at least 3 compartments or 4 endpoints to compute the Fractal_Dim.