On the use of Bayesian probability theory for analysis of exponential decay data: an example taken from intravoxel incoherent motion experiments.

Abstract:

:Traditionally, the method of nonlinear least squares (NLLS) analysis has been used to estimate the parameters obtained from exponential decay data. In this study, we evaluated the use of Bayesian probability theory to analyze such data; specifically, that resulting from intravoxel incoherent motion NMR experiments. Analysis was done both on simulated data to which different amounts of Gaussian noise had been added and on actual data derived from rat brain. On simulated data, Bayesian analysis performed substantially better than NLLS under conditions of relatively low signal-to-noise ratio. Bayesian probability theory also offers the advantages of: a) not requiring initial parameter estimates and hence not being susceptible to errors due to incorrect starting values and b) providing a much better representation of the uncertainty in the parameter estimates in the form of the probability density function. Bayesian analysis of rat brain data was used to demonstrate the shape of the probability density function from data sets of different quality.

journal_name

Magn Reson Med

authors

Neil JJ,Bretthorst GL

doi

10.1002/mrm.1910290510

subject

Has Abstract

pub_date

1993-05-01 00:00:00

pages

642-7

issue

5

eissn

0740-3194

issn

1522-2594

journal_volume

29

pub_type

杂志文章
  • Deconvolution-based distortion correction of EPI using analytic single-voxel point-spread functions.

    abstract:PURPOSE:To develop a postprocessing algorithm that corrects geometric distortions due to spatial variations of the static magnetic field amplitude, B0 , and effects from relaxation during signal acquisition in EPI. THEORY AND METHODS:An analytic, complex point-spread function is deduced for k-space trajectories of EPI...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.28591

    authors: Patzig F,Mildner T,Schlumm T,Müller R,Möller HE

    更新日期:2020-11-21 00:00:00

  • Accelerated three-dimensional multispectral MRI with robust principal component analysis for separation of on- and off-resonance signals.

    abstract:PURPOSE:To enable highly accelerated distortion-free MRI near metal by separating on- and off-resonance to exploit the redundancy of slice-phase encoding for the dominant on-resonance component. METHODS:Multispectral MRI techniques resolve off-resonance distortions by a combination of limited excitation bins and addit...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.26819

    authors: Levine E,Stevens K,Beaulieu C,Hargreaves B

    更新日期:2018-03-01 00:00:00

  • Wavelet packet denoising of magnetic resonance images: importance of Rician noise at low SNR.

    abstract::Wavelet packet analysis is a mathematical transformation that can be used to post-process images, for example, to remove image noise ("denoising"). At a very low signal-to-noise ratio (SNR <5), standard magnitude magnetic resonance images have skewed Rician noise statistics that degrade denoising performance. Since th...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/(sici)1522-2594(199903)41:3<631::aid-mrm29

    authors: Wood JC,Johnson KM

    更新日期:1999-03-01 00:00:00

  • Evidence that both fast and slow water ADC components arise from intracellular space.

    abstract::Evaluation of water diffusion in the brain has revealed both fast- and slow-diffusing water populations. It has been suggested that these populations represent extra- and intracellular water, respectively. We have identified and characterized both populations in the intracellular space of the Xenopus oocyte. We have a...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.10301

    authors: Sehy JV,Ackerman JJ,Neil JJ

    更新日期:2002-11-01 00:00:00

  • Evidence for enhanced functional activity of cervical cord in relapsing multiple sclerosis.

    abstract::Functional MRI (fMRI) was used to assess proprioceptive-associated cervical cord activity in 24 relapsing multiple sclerosis (MS) patients and 10 controls. Cord and brain conventional and diffusion tensor (DT) MRI were also acquired. fMRI was performed using a block design during a proprioceptive stimulation consistin...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.21595

    authors: Agosta F,Valsasina P,Rocca MA,Caputo D,Sala S,Judica E,Stroman PW,Filippi M

    更新日期:2008-05-01 00:00:00

  • Localized detection of glioma glycolysis using edited 1H MRS.

    abstract::In vivo 1H MRS can be used to detect and quantify the lactate resonance at 1.3 ppm provided that overlapping lipid resonances are eliminated. A homonuclear spectral editing method was developed to acquire uncontaminated 1H spectra of lactate with adiabatic pulses. An advantage of the adiabatic pulse sequence is the ab...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910300105

    authors: Schupp DG,Merkle H,Ellermann JM,Ke Y,Garwood M

    更新日期:1993-07-01 00:00:00

  • The use of band-selectable digital filtering in magnetic resonance image enhancement.

    abstract::Manipulation of the data describing two-dimensional magnetic resonance (MR) images can be used to zoom an image, decrease image noise and artifacts by modeling, or emphasize object edges in the field of view. In this paper, a two-dimensional band-selectable digital filtering (2D-BSDF) technique is detailed. This can b...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910090307

    authors: Mitchell DK,Nichols ST,Smith MR,Scott K

    更新日期:1989-03-01 00:00:00

  • Dissolved hyperpolarized xenon-129 MRI in human kidneys.

    abstract:PURPOSE:To assess the feasibility of using dissolved hyperpolarized xenon-129 (129 Xe) MRI to study renal physiology in humans at 3 T. METHODS:Using a flexible transceiver RF coil, dynamic and spatially resolved 129 Xe spectroscopy was performed in the abdomen after inhalation of hyperpolarized 129 Xe gas with 3 healt...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.27923

    authors: Chacon-Caldera J,Maunder A,Rao M,Norquay G,Rodgers OI,Clemence M,Puddu C,Schad LR,Wild JM

    更新日期:2020-01-01 00:00:00

  • Automated feature extraction for the classification of human in vivo 13C NMR spectra using statistical pattern recognition and wavelets.

    abstract::If magnetic resonance spectroscopy (MRS) is to become a useful tool in clinical medicine, it will be necessary to find reliable methods for analyzing and classifying MRS data. Automated methods are desirable because they can remove user bias and can deal with large amounts of data, allowing the use of all the availabl...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910350608

    authors: Tate AR,Watson D,Eglen S,Arvanitis TN,Thomas EL,Bell JD

    更新日期:1996-06-01 00:00:00

  • In vivo evaluation of intracellular pH and high-energy phosphate metabolites during regional myocardial ischemia in cats using 31P nuclear magnetic resonance.

    abstract::Phosphorus-31 nuclear magnetic resonance spectroscopy (31P NMR) was used to assess the temporal changes of high-energy phosphate metabolites in the region of acute myocardial ischemia of open-chest cats. Eight anesthetized cats were studied following ligation of the left anterior descending coronary artery. Creatine p...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910030209

    authors: Stein PD,Goldstein S,Sabbah HN,Liu ZQ,Helpern JA,Ewing JR,Lakier JB,Chopp M,LaPenna WF,Welch KM

    更新日期:1986-04-01 00:00:00

  • Simultaneous image acquisition from the head (or body) coil and a surface coil.

    abstract::Any number of coils can in principle be used simultaneously and independently in magnetic resonance imaging if the mutual inductances are sufficiently small. Surface coils and head or body coils have equal sensitivity at some crossover depth of the order of 6 to 10 cm. Using a 7.5-cm-diameter surface coil that was int...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910060212

    authors: Hyde JS,Froncisz W,Jesmanowicz A,Kneeland JB

    更新日期:1988-02-01 00:00:00

  • Multispectral imaging with three-dimensional rosette trajectories.

    abstract::Two-dimensional intersecting k-space trajectories have previously been demonstrated to allow fast multispectral imaging. Repeated sampling of k-space points leads to destructive interference of the signal coming from the off-resonance spectral peaks; on-resonance data reconstruction yields images of the on-resonance p...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.21551

    authors: Bucholz EK,Song J,Johnson GA,Hancu I

    更新日期:2008-03-01 00:00:00

  • Real-time measurements of cellular oxygen consumption, pH, and energy metabolism using nuclear magnetic resonance spectroscopy.

    abstract::Changes in molecular expression or apoptotic behavior, induced by malignant transformation or anticancer treatment, are frequently reflected in cellular metabolism and oxygen consumption. A technique to monitor oxygen consumption, cell physiology, and metabolism noninvasively would provide a better understanding of in...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1102

    authors: Pilatus U,Aboagye E,Artemov D,Mori N,Ackerstaff E,Bhujwalla ZM

    更新日期:2001-05-01 00:00:00

  • Toward fully automatic estimation of in vivo 31P spectra.

    abstract::Fitting a model to an experimental spectrum is a difficult nonlinear estimation problem. The solution presented here is to start an iterative search procedure sufficiently close to the optimal model parameter set. This is achieved by providing tissue-dependent a priori peak information and by a novel correlation metho...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910210206

    authors: Burger C,McKinnon G,Buchli R,Boesiger P

    更新日期:1991-10-01 00:00:00

  • Effects of imaging gradients in sequences with varying longitudinal storage time-Case of diffusion exchange imaging.

    abstract:PURPOSE:To illustrate the potential bias caused by imaging gradients in correlation MRI sequences using longitudinal magnetization storage (LS) and examine the case of filter exchange imaging (FEXI) yielding maps of the apparent exchange rate (AXR). METHODS:The effects of imaging gradients in FEXI were observed on yea...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.26856

    authors: Lasič S,Lundell H,Topgaard D,Dyrby TB

    更新日期:2018-04-01 00:00:00

  • Nonuniform and multidimensional Shinnar-Le Roux RF pulse design method.

    abstract::The Shinnar-Le Roux (SLR) radiofrequency (RF) pulse design algorithm is widely used for designing slice-selective RF pulses due to its intuitiveness, optimality, and speed. SLR is limited, however, in that it is only capable of designing one-dimensional pulses played along constant gradients. We present a nonuniform S...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.23269

    authors: Grissom WA,McKinnon GC,Vogel MW

    更新日期:2012-09-01 00:00:00

  • Optimization of survey protocols for MRI.

    abstract::A method for evaluating the sensitivity of MRI protocols to changes in an arbitrary number of tissue parameters over a broad range of parameter values is presented. This analysis is useful for choosing an optimal basis set of images for either a "survey" protocol or tissue segmentation algorithms. A survey protocol is...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910130202

    authors: McVeigh ER,Henkelman RM,Bronskill MJ

    更新日期:1990-02-01 00:00:00

  • Orientational dependence of T2 relaxation in articular cartilage: A microscopic MRI (microMRI) study.

    abstract::The experiments reported herein are the first MRI investigations of the orientational dependence of T(2) relaxation in articular cartilage at microscopic resolution over the 360 degrees angular space. For each of six canine cartilage specimens, 48 independent T(2)-weighted proton images were acquired for 12 different ...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.10216

    authors: Xia Y,Moody JB,Alhadlaq H

    更新日期:2002-09-01 00:00:00

  • Articular cartilage deformation determined in an intact tibiofemoral joint by displacement-encoded imaging.

    abstract::This study demonstrates the in vitro displacement and strain of articular cartilage in a cyclically-compressed and intact joint using displacement-encoded imaging with stimulated echoes (DENSE) and fast spin echo (FSE). Deformation and strain fields exhibited complex and heterogeneous patterns. The displacements in th...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.21927

    authors: Chan DD,Neu CP,Hull ML

    更新日期:2009-04-01 00:00:00

  • Fat-suppressed alternating-SSFP for whole-brain fMRI using breath-hold and visual stimulus paradigms.

    abstract:PURPOSE:To achieve artifact-suppressed whole-brain pass-band-balanced steady-state free precession functional MRI from a single functional magnetic resonance imaging (fMRI) scan. METHODS:A complete and practical data acquisition sequence for alt-SSFP fMRI was developed. First, multishot flyback-echo-planar imaging (EP...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.25797

    authors: Jou T,Patterson S,Pauly JM,Bowen CV

    更新日期:2016-05-01 00:00:00

  • Parallel MRI reconstruction using variance partitioning regularization.

    abstract::Multiple receivers can be utilized to enhance the spatiotemporal resolution of MRI by employing the parallel imaging technique. Previously, we have reported the L-curve Tikhonov regularization technique to mitigate noise amplification resulting from the geometrical correlations between channels in a coil array. Nevert...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.21356

    authors: Lin FH,Wang FN,Ahlfors SP,Hämäläinen MS,Belliveau JW

    更新日期:2007-10-01 00:00:00

  • B factor dependence of the temporal characteristics of brain activation using dynamic apparent diffusion coefficient contrast.

    abstract::Functional MRI studies to date have been generally performed using the blood oxygenation level dependent (BOLD) contrast mechanism. Recently, it has been proposed that dynamic change in the apparent diffusion coefficient (ADC), measured using intravoxel incoherent motion (IVIM) weighting, can be used as a robust funct...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.20293

    authors: Harshbarger TB,Song AW

    更新日期:2004-12-01 00:00:00

  • Quantitative susceptibility mapping (QSM) of white matter multiple sclerosis lesions: Interpreting positive susceptibility and the presence of iron.

    abstract:PURPOSE:Within multiple sclerosis (MS) lesions iron is present in chronically activated microglia. Thus, iron detection with MRI might provide a biomarker for chronic inflammation within lesions. Here, we examine contributions of iron and myelin to magnetic susceptibility of lesions on quantitative susceptibility mappi...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.25420

    authors: Wisnieff C,Ramanan S,Olesik J,Gauthier S,Wang Y,Pitt D

    更新日期:2015-08-01 00:00:00

  • Relaxometry of brain: why white matter appears bright in MRI.

    abstract::The remarkable success of magnetic resonance imaging of adult brain relates to the unusually large ratio of the longitudinal relaxation rates 1/T1 of white and gray matter, approximately 2:1 at physiological temperature and traditional imaging fields. Several investigators have conjectured that myelin is the source of...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910140306

    authors: Koenig SH,Brown RD 3rd,Spiller M,Lundbom N

    更新日期:1990-06-01 00:00:00

  • Myocardial T2* mapping free of distortion using susceptibility-weighted fast spin-echo imaging: a feasibility study at 1.5 T and 3.0 T.

    abstract::This study demonstrates the feasibility of applying free-breathing, cardiac-gated, susceptibility-weighted fast spin-echo imaging together with black blood preparation and navigator-gated respiratory motion compensation for anatomically accurate T2* mapping of the heart. First, T2* maps are presented for oil phantoms ...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.22054

    authors: Heinrichs U,Utting JF,Frauenrath T,Hezel F,Krombach GA,Hodenius MA,Kozerke S,Niendorf T

    更新日期:2009-09-01 00:00:00

  • Measurement of myocardial frequency offsets during first pass of a gadolinium-based contrast agent in perfusion studies.

    abstract::MRI of myocardial perfusion observed with an extracellular contrast agent has proven valuable for the detection of coronary artery disease. During contrast enhancement transient dark rim artifacts are sometimes visible, complicating diagnosis and quantification. In this work a quantification of the frequency offsets c...

    journal_title:Magnetic resonance in medicine

    pub_type: 临床试验,杂志文章

    doi:10.1002/mrm.21723

    authors: Ferreira P,Gatehouse P,Bucciarelli-Ducci C,Wage R,Firmin D

    更新日期:2008-10-01 00:00:00

  • Biexponential diffusion attenuation in various states of brain tissue: implications for diffusion-weighted imaging.

    abstract::Diffusion-weighted single voxel experiments conducted at b-values up to 1 x 10(4) smm-2 yielded biexponential signal attenuation curves for both normal and ischemic brain. The relative fractions of the rapidly and slowly decaying components (f1, f2) are f1 = 0.80 +/- 0.02, f2 = 0.17 +/- 0.02 in healthy adult rat brain...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910360607

    authors: Niendorf T,Dijkhuizen RM,Norris DG,van Lookeren Campagne M,Nicolay K

    更新日期:1996-12-01 00:00:00

  • Determination of the optimal first-order gradient moment for flow-sensitive dephasing magnetization-prepared 3D noncontrast MR angiography.

    abstract::Flow-sensitive dephasing (FSD) magnetization preparation has been developed for black-blood vessel wall MRI and noncontrast MR angiography. The first-order gradient moment, m(1) , is a measure of the flow-sensitization imparted by an FSD preparative module. Determination of the optimal m(1) for each individual is high...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.22847

    authors: Fan Z,Zhou X,Bi X,Dharmakumar R,Carr JC,Li D

    更新日期:2011-04-01 00:00:00

  • Stream function optimization for gradient coil design.

    abstract::This work presents a method applied to the design of short self-shielded gradient coils of cylindrical geometry. The method uses a hybrid technique that combines the simulated annealing and target field methods to optimize the standard stream functions. The optimized stream functions were parameterized using a few deg...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/1522-2594(200103)45:3<505::aid-mrm1066>3.0

    authors: Tomasi D

    更新日期:2001-03-01 00:00:00

  • Vascular transit times in calcarine cortex: kinetic analysis of R2* changes observed using localized 1H spectroscopy.

    abstract::A kinetic analysis of water signal intensity changes measured in human visual cortex by PRESS localized 1H spectroscopy at 500 ms resolution with light-emitting diode (LED) goggle stimulation was used to determine vascular transit times for transitions between rest and activation. Monoexponential curve fitting was use...

    journal_title:Magnetic resonance in medicine

    pub_type: 杂志文章

    doi:10.1002/mrm.1910340308

    authors: Detre JA,Wang Z,Stecker MM,Zimmerman RA

    更新日期:1995-09-01 00:00:00