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  An analytical solution for the SSFP signal in MRI

Haenicke, W., & Vogel, H. U. (2003). An analytical solution for the SSFP signal in MRI. Magnetic Resonance in Medicine, 49(4), 771-775. Retrieved from http://www3.interscience.wiley.com/cgi-bin/fulltext/104084035/PDFSTART.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-F12D-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-9BD8-9
Genre: Journal Article

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599235.pdf (Publisher version), 88KB
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 Creators:
Haenicke, W.1, Author              
Vogel, H. U., Author
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1Biomedical NMR Research GmbH, MPI for biophysical chemistry, Max Planck Society, ou_578634              

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Free keywords: SSFP; higher-order SUP signals; MRI; rapid MR imaging
 Abstract: Among previous analyses of the steady-state free-precession (SSFP) signal in rapid MRI, one treatment resulted in equations that require the evaluation of infinite binomial series. Here, an analytical solution is derived by a transformation into the power series expansion of the derivative of the inverse sine function, which is essentially a root. The treatment is extended to include higher-order signals. The results demonstrate the identity of the vastly different equations for the SSFP signals reported so far. Applications consist of the derivation of closed expressions for the signal in echo-shifted MRI and a corresponding analysis of TrueFISP sequences. (C) 2003 Wiley-Liss, Inc.

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Language(s): eng - English
 Dates: 2003-04
 Publication Status: Published in print
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 Rev. Method: Peer
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Title: Magnetic Resonance in Medicine
Source Genre: Journal
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Pages: - Volume / Issue: 49 (4) Sequence Number: - Start / End Page: 771 - 775 Identifier: -