EPGsim
Extended Phase Graph simulation
Introduction
EPGsim is a Julia packet for magnetic resonance imaging signal simulation based on the Extended Phase Graph (EPG) concept. The principal aspect of this package was to make it compatible with Automatic Differentiation using ForwardDiff.jl in order to compute Cramér-Rao Lower Bound metrics which is used to optimized sequence protocol.
EPGsim.jl is work in progress and in some parts not entirely optimized. The interface is susceptible to change between version
EPG concept
Introduction to the physics concepts behing EPG as well as their usage can be found on the rad229 youtube channels by Brian Hargreaves and Daniel Ennis :
- Lecture-04A: Definition of the Extended Phase Graph Basis
- Lecture-04B: Sequence Operations in the Extended Phase Graph Domain
- Lecture-04C: Examples using Extended Phase Graphs
Installation
This package is currently not registered.
Start julia and open the package mode by entering ]. Then enter
add https://github.com/aTrotier/EPGsim.jlThis will install EPGsim and all its dependencies. If you want to develop EPGsim itself you can checkout EPGsim by calling
dev https://github.com/aTrotier/EPGsim.jlMore information on how to develop a package can be found in the Julia documentation.
Tutorial
You can find an example about simulation of a Multi-Echo Spin-Echo sequence and its derivation here