### Abstract

Propagation of errors, in conjunction with the theoretical signal equation for spoiled gradient echo pulse sequences, is used to derive a theoretical expression for uncertainty in quantitative variable flip angle T_{1} mapping using two flip angles. This expression is then minimized to derive a rigorous expression for optimal flip angles that elucidates a commonly used empirical result. The theoretical expressions for uncertainty and optimal flip angles are combined to derive a lower bound on the achievable uncertainty for a given set of pulse sequence parameters and signal-to-noise ratio (SNR). These results provide a means of quantitatively determining the effect of changing acquisition parameters on T_{1} uncertainty.

Original language | English (US) |
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Pages (from-to) | N1-N8 |

Journal | Physics in Medicine and Biology |

Volume | 54 |

Issue number | 1 |

DOIs | |

State | Published - Jan 7 2009 |

### ASJC Scopus subject areas

- Radiological and Ultrasound Technology
- Radiology Nuclear Medicine and imaging

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## Cite this

_{1}mapping using the variable flip angle method with two flip angles.

*Physics in Medicine and Biology*,

*54*(1), N1-N8. https://doi.org/10.1088/0031-9155/54/1/N01