Everything about Extended phase graph
MRI sequence simulation technique
In magnetic resonance imaging and nuclear magnetic resonance the extended phase graph (EPG) is a mathematical framework used to track how magnetization evolves in a voxel through a series of radiofrequency (RF) pulses and gradients. While traditional Bloch simulations track individual spins in the spatial domain, EPG operates in the Fourier domain. The magnetization vectors along one dimension of a voxel are stored as Fourier coefficients. Each Fourier coefficient represents the weighting of a helix that twists along one dimension of the voxel with an integer number of twists. Performing a weighted sum of all the helices gives the magnetization vectors in the spatial domain. In this representation, a gradient along one dimension of the voxel that causes an integer number of twists simply shifts the index of each Fourier coefficient by that integer, making EPG very computationally efficient at modeling sequences with many RF pulses and gradients. EPG was first proposed by Jürgen Hennig to model multiecho sequences and is now used to model magnetic resonance fingerprinting, turbo spin echos, and other sequences. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Extended phase graphA 5-minute orientation
- Skim a recent paper: Extended magic phase in twisted graphene multilayersInfluential work since 2022
- Pick up a classic book: An introduction to computer scienceThe most-reprinted book on the subject
- Read the landmark paper: Extended phase graph formalism for systems with magnetization transfer and exchangeCited 79 times
- Go sideways: Spin–lattice relaxationA closely related topic
- Go sideways: Pulsed electron paramagnetic resonanceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Extended phase graph formalism for systems with magnetization transfer and exchange
T2 relaxation‐time mapping in healthy and diseased skeletal muscle using extended phase graph algorithms
An extended phase graph‐based framework for DANTE‐SPACE simulations including physiological, temporal, and spatial variations
Interpretation of extended phase graphs using product operators [Presidential Award Proceedings]
🆕 Influential since 2022
📚 Books worth reading
An introduction to computer scienceJean-Paul Tremblay, Richard B. Bunt · 1979
Direction and position finding by wirelessRonald Keen · 1920
Inorganic 3D structuresAngel Vegas, D. J. M. Bevan · 2011
Data structures using C++D. S. Malik · 2010
Developments in Language TheoryMarie-Pierre Béal · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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