ssfp 0.1.0

SSFP simulation

SSFP

Simple steady-state free precession simulation. The goal is to provide a simple to use, pip-installable solution for simulating this wonderful pulse sequence.

In this package:

• bSSFP: bssfp()

Installation

Should be as easy as:

pip install ssfp

Usage

See ssfp.examples for typical usage. You can run examples like:

python -m ssfp.examples.basic_bssfp

Balanced steady-state free precession can be called through bssfp(). This is an implementation of equations [1–2] in [1]. These equations are based on the Ernst-Anderson derivation [2] where off-resonance is assumed to be subtracted as opposed to added (as in the Freeman-Hill derivation [3]). Hoff actually gets Mx and My flipped in the paper, so we fix that here. We also assume that the field map will be provided given the Freeman-Hill convention.

from ssfp import bssfp

# Here's the simplest usage, see docstring for all the possible
# function arguments
sig = bssfp(T1, T2, TR, alpha)

References

[1]

Xiang, Qing‐San, and Michael N. Hoff. “Banding artifact removal for bSSFP imaging with an elliptical signal model.” Magnetic resonance in medicine 71.3 (2014): 927-933.

[2]

Ernst, Richard R., and Weston A. Anderson. “Application of Fourier transform spectroscopy to magnetic resonance.” Review of Scientific Instruments 37.1 (1966): 93-102.

[3]

Freeman R, Hill H. Phase and intensity anomalies in fourier transform NMR. J Magn Reson 1971;4:366–383.