A Framework to calculate the IVIM signal for different diffusion gradient profiles

Normalized phase distributions for a variety of gradient profiles (bipolar, flow-compensated, sine, cosine) have been obtained by simulations, which allow one to calculate the IVIM signal for given b-value, diffusion time T, vessel segment length l and blood flow velocity v. Attenuation curves for a network of blood vessels are calculated for typical dimensions of arterioles and capillaries. Signal attenuation is less strong for flow-compensated profiles, where cosine gradients are found to show the largest spread of attenuation curves depending on oscillation number. The source code and simulated phase distributions are made available online to the IVIM community.

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