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

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

Bibliographical note

Publisher Copyright:
© 2018 International Society for Magnetic Resonance in Medicine

Publisher link

10.1002/mrm.27116

Find It

Find It at U of M Libraries

Fingerprint

Dive into the research topics of '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)'. Together they form a unique fingerprint.

Cite this

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.

@article{1bba77a1508649e1af8d98e5bd28ea75,

title = "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 = "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.).",

author = "Jinjin Zhang and Michael Garwood and Park, \{Jang Yeon\}",

note = "Publisher Copyright: {\textcopyright} 2018 International Society for Magnetic Resonance in Medicine",

year = "2018",

month = jun,

doi = "10.1002/mrm.27116",

language = "English (US)",

volume = "79",

pages = "3274",

journal = "Magnetic resonance in medicine",

issn = "0740-3194",

publisher = "John Wiley and Sons Inc.",

number = "6",

}

TY - JOUR

T1 - Erratum to

T2 - 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)

AU - Zhang, Jinjin

AU - Garwood, Michael

AU - Park, Jang Yeon

PY - 2018/6

Y1 - 2018/6

N2 - 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.).

AB - 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.).

UR - https://www.scopus.com/pages/publications/85041736674

UR - https://www.scopus.com/inward/citedby.url?scp=85041736674&partnerID=8YFLogxK

U2 - 10.1002/mrm.27116

DO - 10.1002/mrm.27116

M3 - Comment/debate

C2 - 29427446

AN - SCOPUS:85041736674

SN - 0740-3194

VL - 79

SP - 3274

JO - Magnetic resonance in medicine

JF - Magnetic resonance in medicine

IS - 6

ER -

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

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this