ArticleMagnetic resonance in medicine2018
Propagation of error from parameter constraints in quantitative MRI: Example application of multiple spin echo T
Article in Magnetic resonance in medicine, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed, 11 citations in OpenAlex.
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- Flexible and efficient optimization of quantitative sequences using automatic differentiation of Bloch simulations.Magnetic resonance in medicine · 2019Article
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2 authors at 1 institution in 1 country.
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Abstract
purposeQuantitative MRI may require correcting for nuisance parameters which can or must be constrained to independently measured or assumed values. The noise and/or bias in these constraints propagate to fitted parameters. For example, the case of refocusing pulse flip angle constraint in multiple spin echo T
methodsAn analytical expression for the mean-squared error of a parameter of interest was derived as a function of the accuracy and precision of an independent estimate of a nuisance parameter. The expression was validated by simulations and then used to evaluate the effects of flip angle (θ) constraint on the accuracy and precision of T⁁2 for a variety of multi-echo T
resultsConstraining θ improved T⁁2 precision when the θ-map signal-to-noise ratio was greater than approximately one-half that of the first spin echo image. For many practical scenarios, constrained fitting was calculated to reduce not just the variance but the full mean-squared error of T⁁2, for bias in θ⁁≲6%.
conclusionThe analytical expression derived in this work can be applied to inform experimental design in quantitative MRI. The example application to T
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