Uncertainty in T1 mapping using the variable flip angle method with two flip angles

Matthias Schabel, Glen R. Morrell

Research output: Contribution to journalArticle

62 Citations (Scopus)

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 T1 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 T1 uncertainty.

Original languageEnglish (US)
JournalPhysics in Medicine and Biology
Volume54
Issue number1
DOIs
StatePublished - Jan 7 2009
Externally publishedYes

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Uncertainty
Signal-To-Noise Ratio

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging
  • Radiological and Ultrasound Technology

Cite this

Uncertainty in T1 mapping using the variable flip angle method with two flip angles. / Schabel, Matthias; Morrell, Glen R.

In: Physics in Medicine and Biology, Vol. 54, No. 1, 07.01.2009.

Research output: Contribution to journalArticle

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