Frederik Bernd Laun1, Bram Stieltjes
1Medical Physics in Radiology,
In DWI, the apparent diffusion coefficient is determined by both, the diffusion process and the temporal profile of the diffusion gradients. In this work a technique to determine the influence of the temporal gradient profile on the measured ADC is developed for the motional narrowing regime in closed geometries. It yields a direct series expansion in powers on inverse time. It is shown that the discontinuities and integrals over the derivatives of the gradient profile determine the constants of this series expansion.