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Abstract #0748

Efficient Bloch Simulation Based on Precomputed State-Transition Matrices

Nick Scholand1,2,3, Christina Graf1, and Martin Uecker1,2,3
1Institute of Medical Engineering, Graz University of Technology, Graz, Austria, 2Department of Interventional and Diagnostic Radiology, University Medical Center Göttingen, Göttingen, Germany, 3German Centre for Cardiovascular Research, Göttingen, Germany


The Bloch equations describe the effects of relaxation and external fields on the magnetization. Its coefficients are time-dependent, requiring computationally expensive techniques for its solution in the generic case. Currently, most techniques used in MRI are based on temporal discretization, but this requires very small time steps to achieve sufficiently small approximation errors.
In this work, we investigate a simulation technique based on a precise precomputation of state-transition matrices and compare its accuracy and efficiency with techniques based on ODE solvers and with matrix-based techniques using temporal discretization.

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