We propose an alternate method for simulating arbitrary MRI sequences, forming complete Bloch simulations. It is closely related to Extended Phase Graphs but imposes no restrictions on the alignment of timing or gradients, extends it to support T2' relaxation and 3D gradient encoding, is fully differentiable, provides additional insight into the composition of the measured signal while outperforming isochromat-based Bloch simulations in execution speed by using an analytical description of the signal instead of relying on a Monte-Carlo simulation.
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