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The aim of this paper is to optimally design the set of b-values fordiffusion weighted MRI with the aim of accurate estimation of intra- voxelincoherent motion (IVIM) parameters (f perfusion fraction, Ds slow diffusion,Df fast diffusion) according to the model developed by Le Bihan. Previousstudies have addressed the design in a Monte Carlo fash- ion. Due to hugecomputation times, this approach is feasible only for a limited number ofvalues of the parameters (local design): however, as the parameters of aspecific exam are not known a priori, it would be desirable to optimiseb-values over a region of parameters. In order to overcome this issue, wepropose to use a D-optimal design approach. The optimal combination of b-valuescan be chosen from a candidate set of predefined values taken from theliterature. Our study has two key results: first, the optimal design does notdepend on perfusion fraction: this allow to perform a search over a 2Dparameter space instead of 3D; second, as an exhaustive search over allpossible designs would still be time consuming, we proposed an algorithm tofind an approximate solution can be found very quickly.

D-optimal design of b-values for accurate intra-voxel incoherent motion imaging