MRIgeneralizedBloch.jl
Documentation for the MRIgeneralizedBloch.jl package, which implements the generalized Bloch model for simulating magnetization transfer (MT), as described in our paper. The key innovation of the model is to generalize the original Bloch model to arbitrary lineshapes, such as the super-Lorentzian lineshape which has been shown to describe brain white matter well. This enables a more accurate description of the spin dynamics during short RF-pulses compared to previous MT models.
The package allows to simulate the dynamics of an isolated semi-solid spin pool during RF-pulses, as well as the dynamics of a coupled spin system with a free spin pool, for which we use the Bloch model, and a semi-solid pool, which we describe with the generalized Bloch model.
A bare bone demonstration of the interface can found Quick Start Tutorial. More details on the implementation are provided in the Section Generalized Bloch Paper, which reproduces all simulations, data analyses, and figures of the generalized Bloch paper:
- Green's Functions
- Continuous Wave Simulation
- Lorentzian Lineshape
- Bloch Model
- Henkelman's Steady-State Solution
- Graham's Single Frequency Approximation
- Sled's Model
- Generalized Bloch Model
- Gaussian Lineshape
- Super-Lorentzian Lineshape
- RF-Pulse Simulation
- Lorentzian Lineshape
- Bloch Model
- Graham's Spectral Model
- Graham's Single Frequency Approximation
- Sled's Model
- Generalized Bloch Model
- Gaussian Lineshape
- Super-Lorentzian Lineshape
- Inversion Recovery Experiments
- Continuous Wave Saturation Experiments
- Linear Approximation
The documentation of all exported functions can be found in the API Section.