Erratum to: Full analytical solution of the bloch equation when using a hyperbolic-secant driving function: Solution of the Bloch Equation Using a HS Driving Function (Magnetic Resonance in Medicine, (2017), 77, 4, (1630-1638), 10.1002/mrm.26252)

Jinjin Zhang; Michael Garwood; Jang Yeon Park

doi:10.1002/mrm.27116

Erratum to: Full analytical solution of the bloch equation when using a hyperbolic-secant driving function: Solution of the Bloch Equation Using a HS Driving Function (Magnetic Resonance in Medicine, (2017), 77, 4, (1630-1638), 10.1002/mrm.26252)

Jinjin Zhang, Michael Garwood, Jang Yeon Park

Center for Magnetic Resonance Research

Research output: Contribution to journal › Comment/debate › peer-review

1 Scopus citations

Abstract

In the published article, Eq. [25] contained an error. The correct equation should be: 25 (Formula presented.) The detailed derivation of Eq. [25] is as follows: Since M_z/M₀ = cosθ, where θ is the flip angle, equation [24] gives A.1 (Formula presented.) Multiplying Eq. [A.1] by cosh²(Rπ²/4β), A.2 (Formula presented.) Using the identity of hyperbolic functions, (Formula presented.), equation [A.2] is rewritten as (Formula presented.).

Original language	English (US)
Pages (from-to)	3274
Number of pages	1
Journal	Magnetic resonance in medicine
Volume	79
Issue number	6
DOIs	https://doi.org/10.1002/mrm.27116
State	Published - Jun 2018

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© 2018 International Society for Magnetic Resonance in Medicine

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Zhang, J., Garwood, M., & Park, J. Y. (2018). Erratum to: Full analytical solution of the bloch equation when using a hyperbolic-secant driving function: Solution of the Bloch Equation Using a HS Driving Function (Magnetic Resonance in Medicine, (2017), 77, 4, (1630-1638), 10.1002/mrm.26252). Magnetic resonance in medicine, 79(6), 3274. https://doi.org/10.1002/mrm.27116

Erratum to: Full analytical solution of the bloch equation when using a hyperbolic-secant driving function: Solution of the Bloch Equation Using a HS Driving Function (Magnetic Resonance in Medicine, (2017), 77, 4, (1630-1638), 10.1002/mrm.26252). / Zhang, Jinjin; Garwood, Michael; Park, Jang Yeon.
In: Magnetic resonance in medicine, Vol. 79, No. 6, 06.2018, p. 3274.

Research output: Contribution to journal › Comment/debate › peer-review

Zhang, J, Garwood, M & Park, JY 2018, 'Erratum to: Full analytical solution of the bloch equation when using a hyperbolic-secant driving function: Solution of the Bloch Equation Using a HS Driving Function (Magnetic Resonance in Medicine, (2017), 77, 4, (1630-1638), 10.1002/mrm.26252)', Magnetic resonance in medicine, vol. 79, no. 6, pp. 3274. https://doi.org/10.1002/mrm.27116

Zhang, Jinjin ; Garwood, Michael ; Park, Jang Yeon. / Erratum to : Full analytical solution of the bloch equation when using a hyperbolic-secant driving function: Solution of the Bloch Equation Using a HS Driving Function (Magnetic Resonance in Medicine, (2017), 77, 4, (1630-1638), 10.1002/mrm.26252). In: Magnetic resonance in medicine. 2018 ; Vol. 79, No. 6. pp. 3274.

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abstract = "In the published article, Eq. [25] contained an error. The correct equation should be: 25 (Formula presented.) The detailed derivation of Eq. [25] is as follows: Since Mz/M0 = cosθ, where θ is the flip angle, equation [24] gives A.1 (Formula presented.) Multiplying Eq. [A.1] by cosh2(Rπ2/4β), A.2 (Formula presented.) Using the identity of hyperbolic functions, (Formula presented.), equation [A.2] is rewritten as (Formula presented.).",

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Erratum to: Full analytical solution of the bloch equation when using a hyperbolic-secant driving function: Solution of the Bloch Equation Using a HS Driving Function (Magnetic Resonance in Medicine, (2017), 77, 4, (1630-1638), 10.1002/mrm.26252)

Abstract

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