### Abstract

Estimating the relaxation constant of an exponentially decaying signal from experimental MR data is fundamental in diffusion tensor imaging, fractional anisotropy mapping, measurements of transverse relaxation rates and contrast agent uptake. The precision of such measurements depends on the choice of acquisition parameters made at the design stage of the experiments. In this report, χ^{2} fitting of multipoint data is used to demonstrate that the most efficient acquisition strategy is a two-point scheme. We also conjecture that the smallest coefficient of variation of the decay constant achievable in any N-point experiment is 3.6 times larger than that in the image intensity obtained by averaging N acquisitions with minimal exponential weighting.

Original language | English (US) |
---|---|

Pages (from-to) | 433-435 |

Number of pages | 3 |

Journal | Magnetic Resonance Imaging |

Volume | 26 |

Issue number | 3 |

DOIs | |

State | Published - Apr 2008 |

Externally published | Yes |

### Fingerprint

### Keywords

- Diffusion, contrast agents, optimization methods
- Exponential decay
- T2

### ASJC Scopus subject areas

- Biophysics
- Clinical Biochemistry
- Structural Biology
- Radiology Nuclear Medicine and imaging
- Condensed Matter Physics

### Cite this

*Magnetic Resonance Imaging*,

*26*(3), 433-435. https://doi.org/10.1016/j.mri.2007.08.014

**The optimal MR acquisition strategy for exponential decay constants estimation.** / Fleysher, Roman; Fleysher, Lazar; Gonen, Oded.

Research output: Contribution to journal › Article

*Magnetic Resonance Imaging*, vol. 26, no. 3, pp. 433-435. https://doi.org/10.1016/j.mri.2007.08.014

}

TY - JOUR

T1 - The optimal MR acquisition strategy for exponential decay constants estimation

AU - Fleysher, Roman

AU - Fleysher, Lazar

AU - Gonen, Oded

PY - 2008/4

Y1 - 2008/4

N2 - Estimating the relaxation constant of an exponentially decaying signal from experimental MR data is fundamental in diffusion tensor imaging, fractional anisotropy mapping, measurements of transverse relaxation rates and contrast agent uptake. The precision of such measurements depends on the choice of acquisition parameters made at the design stage of the experiments. In this report, χ2 fitting of multipoint data is used to demonstrate that the most efficient acquisition strategy is a two-point scheme. We also conjecture that the smallest coefficient of variation of the decay constant achievable in any N-point experiment is 3.6 times larger than that in the image intensity obtained by averaging N acquisitions with minimal exponential weighting.

AB - Estimating the relaxation constant of an exponentially decaying signal from experimental MR data is fundamental in diffusion tensor imaging, fractional anisotropy mapping, measurements of transverse relaxation rates and contrast agent uptake. The precision of such measurements depends on the choice of acquisition parameters made at the design stage of the experiments. In this report, χ2 fitting of multipoint data is used to demonstrate that the most efficient acquisition strategy is a two-point scheme. We also conjecture that the smallest coefficient of variation of the decay constant achievable in any N-point experiment is 3.6 times larger than that in the image intensity obtained by averaging N acquisitions with minimal exponential weighting.

KW - Diffusion, contrast agents, optimization methods

KW - Exponential decay

KW - T2

UR - http://www.scopus.com/inward/record.url?scp=40049090400&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=40049090400&partnerID=8YFLogxK

U2 - 10.1016/j.mri.2007.08.014

DO - 10.1016/j.mri.2007.08.014

M3 - Article

C2 - 18093779

AN - SCOPUS:40049090400

VL - 26

SP - 433

EP - 435

JO - Magnetic Resonance Imaging

JF - Magnetic Resonance Imaging

SN - 0730-725X

IS - 3

ER -