Abstract #1589

# Implementation
of the Equilateral Triangle in the Multiple Correlation Function Approach as
Model Geometry for Restricted Diffusion.

Frederik Bernd Laun^{1}, Bram Stieltjes

^{1}Medical Physics in Radiology, German Cancer
Research Center,
Heidelberg, Baden-Wrttemberg, Germany

The
multiple correlation function approach uses the eigensystem of the Laplace operator to compute the effect of diffusion
weighting gradients much more efficiently than Monte-Carlo simulations.
However the applicability is limited since the governing matrices could only
be computed for few model systems. Here we present the solutions for a
further model system, the equilateral triangle. One interesting finding is
that the apparent diffusion coefficient for this confining geometry is not
dependent on the gradient orientation for moderate b-values, while a clear
orientation dependency is observed for high b-values.