Abstract #3196

Equivalence of EPG and Isochromat-based simulation of MR signals

Shaihan J Malik¹, Alessandro Sbrizzi², Hans Hoogduin², and Joseph V Hajnal¹

¹Imaging Sciences & Biomedical Engineering, King's College London, London, United Kingdom, ²Imaging Division, University Medical Centre, Utrecht, Utrecht, Netherlands

Extended Phase Graphs and Isochromat-summation are two leading methods for simulating MR signals. The latter method is more intuitive, but choice of the number and distribution of isochromats significantly affects results. It is well known that the two methods are related by Fourier Transform, but precise equivalence is not widely understood. We demonstrate conditions under which they are exactly equivalent and related by DFT. Choice of isochromats is shown to be a sampling problem and conditions for accurate isochromat-based simulations are given. Matlab code is provided as a direct illustration.

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