Articles and Books by G. Larry Bretthorst

G.L. Bretthorst, C.C. Hung, D.A. d'Avignon, and J.J.H. Ackerman, 1988,
"Bayesian Analysis of TimeDomain Magnetic Resonance Signals",
J. Magn. Reson., 79:369376.

G.L. Bretthorst, J.J. Kotyk, and J.J.H. Ackerman, 1988,
"^{31}P NMR Bayesian Spectral Analysis of Rat Brain in Vivo",
Magn. Reson. in Med., 9:282287.

G.L. Bretthorst, 1988,
"A Highly Stable Computer Algorithm for Solving Discrete Linearly Constrained Maximum Entropy Problems",
unpublished.

Bretthorst, G. Larry, 1988,
"Bayesian Spectrum Analysis and Parameter Estimation,"
in Lecture Notes in Statistics, 48, SpringerVerlag,
New York, New York;
also available as a gzip compressed
postscript file.
Additionally, a
pdf
and a gzip compressed
postscript
version set up for two sided printing are available.

Bretthorst, G. Larry, 1988,
"Excerpts from Bayesian Spectrum Analysis and Parameter Estimation,"
in Maximum Entropy and Bayesian Methods,
G. J. Erickson and C. R. Smith eds,
pp. 75145,
Kluwer Academic Publishers, Dordrecht the Netherlands;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, and C. R. Smith, 1989,
"Bayesian Analysis of Signals from CloselySpaced Objects,"
Infrared Systems and Components III,
Robert Caswell Ed.,
SPIE Vol. 1050 pp. 93104;
also available as a gzip compressed
postscript file.

G.L. Bretthorst, 1989,
"Bayesian Model Selection: Examples Relevant to NMR,"
in Maximum Entropy and Bayesian Methods,
J. Skilling, Ed.,
Kluwer Academic Publishers, Dordrecht,
The Netherlands, pp.377388.

G.L. Bretthorst, 1990,
"Bayesian Spectrum Analysis on Quadrature NMR Data with Noise Correlations,"
in Maximum Entropy and Bayesian Methods,
J. Skilling Ed.,
Kluwer Academic Publishers, Dordrecht,
The Netherlands, pp.261273.

Bretthorst, G. Larry, 1990,
"An Introduction of Parameter Estimation Using Bayesian Probability,"
in Maximum Entropy and Bayesian Methods,
P. Fougere ed.,
pp. 5379,
Kluwer Academic Publishers, Dordrecht the Netherlands;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1990,
"Bayesian Analysis I. Parameter Estimation Using Quadrature NMR Models"
J. Mag. Res., 88 pp. 533551;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1990,
"Bayesian Analysis II. Signal Detection And Model Selection"
J. Mag. Res., 88 pp. 552570;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1990,
"Bayesian Analysis III. Examples Relevant to NMR"
J. Mag. Res., 88 pp. 571595;
also available as a gzip compressed
postscript file.

D.A. d'Avignon, C.C. Hung, M.T.L. Pagel, B. Hart, G.L. Bretthorst, and J.J.H. Ackerman, 1990,
"1H and 2H NMR Studies of Water in WorkFree Wheat Flour Doughs,"
in NMR Applications in Biopolymers,
J.W. Finley et al., Eds.,
Plenum Press, New York, pp. 391414;
also published in Water Relationships in Food,
Volume 302 of Advances in Experimental Medicine and Biology, H. Levine and L. Slade, Eds., Plenum Press,
New York, pp. 485508 (1991).

Bretthorst, G. Larry, 1991,
"Bayesian Analysis IV. Noise And Computing Time Considerations"
J. Mag. Res., 93 pp. 369394;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1991,
"Moment Estimation Using Bayesian Probability Theory,"
in Maximum Entropy and Bayesian Methods,
L. Schick and W. T. Grandy Eds.,
pp. 327335,
Kluwer Academic Publishers, Dordrecht the Netherlands;
also available as a gzip compressed
postscript file.

John J. Kotyk, Norman G. Hoffman, and William C. Hutton,
G. Larry Bretthorst and Joseph J. H. Ackerman, 1992,
"Comparison of Fourier and Bayesian Analysis of NMR signals.
I. WellSeparated Resonances (The SingleFrequency Case),"
J. Magn. Reson., 98, pp. 483500;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1992,
"Bayesian Analysis V. Amplitude Estimation, Multiple Well Separated Sinusoids"
J. Mag. Res., 98
pp. 501523;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1992,
"Estimating The Ratio Of Two Amplitudes In Nuclear Magnetic Resonance Data,"
in Maximum Entropy and Bayesian Methods,
C. R. Smith, Gary J. Erickson, and Paul O. Neudorfer Eds.,
pp. 6777,
Kluwer Academic Publishers, Dordrecht the Netherlands;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1992,
"Bayesian Interpolation And Deconvolution,"
Technical Report CRRDAS924, The U. S. Army Missile Command;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1992,
"Amplitude Estimation In Nuclear Magnetic Resonance Data,"
unpublished;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1993,
"On The Difference In Means,"
in Physics & Probability Essays in honor of Edwin T. Jaynes,
W. T. Grandy and P. W. Milonni Eds.,
Cambridge University Press, England;
also available as a gzip compressed
postscript file.
Additionally, the
source code
used to produce the examples in this
article is also available as a gzip compressed tar file.

Neil, Jeffrey J., and G. Larry Bretthorst, 1993,
"On the Use of Bayesian Probability
Theory for Analysis of Exponential Decay Data: An Example Taken from
Intravoxel Incoherent Motion Experiments,"
in Magn. Reson. in Med.,
29, pp. 642647;
also available as a gzip compressed
postscript file.

S. Kopec and G.L. Bretthorst, 1993,
"Entropy, Moments and Probability Theory,"
in Maximum Entropy and Bayesian Methods,
A. MohammadDjafari and G. Demoment, Eds.,
Kluwer Academic Publishers, Dordrecht, The Netherlands, pp. 2530.

John J. Kotyk, Norman G. Hoffman, and William C. Hutton,
G. Larry Bretthorst and Joseph J. H. Ackerman, 1995,
"Comparison of Fourier and Bayesian Analysis of NMR signals.
II. Examination of Truncated Free Induction Decay NMR Data,"
J. Magn. Reson., Series A 116, pp. 19;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1996,
"An Introduction To Model Selection Using Probability Theory As Logic,"
in Maximum Entropy and Bayesian Methods,
G. R. Heidbreder Ed.,
Kluwer Academic Publishers, Dordrecht the Netherlands
pp. 142;
also available as a gzip compressed
postscript file.

A. Ramaswami, and G.L. Bretthorst, 1996,
"Model Selection And Parameter Estimation For Exponential Signals,"
in Maximum Entropy and Bayesian Methods,
H. Ken and R. Silver, Eds.,
Kluwer Academic Publishers, Dordrecht, The Netherlands, pp. 914.

A. Ramaswami, and G.L. Bretthorst, 1996,
"Probability Theory And Multiexponential Signals, How Accurately can the Parameters be Determined?"
in Maximum Entropy and Bayesian Methods,
H. Glenn, Ed.,
Kluwer Academic Publishers, Dordrecht, The Netherlands, pp. 265273.

D. Andre d'Avignon, G. Larry Bretthorst, Marilyn Emerson Holtzer,
and Alfred Holtzer, 1998,
"SiteSpecific Thermodynamics and Kinetics of a CoiledCoil
Transition by Spin Inversion Transfer NMR,"
Biophysical Journal, 74, pp. 31903197;
also available as a gzip compressed
postscript file.

D. Andre d'Avignon, G. Larry Bretthorst, Marilyn Emerson Holtzer,
and Alfred Holtzer, 1999,
"Thermodynamics and Kinetics of a FoldedFolded' Transition at
Valine9 of a GCN4Like Leucine Zipper,"
Biophysical Journal, 76, pp. 27522759;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 1999,
"The NearIrrelevance of Sampling Frequency Distributions,"
in Maximum Entropy and Bayesian Methods,
W. von der Linden et al. Eds., pp. 2146,
Kluwer Academic Publishers, Dordrecht the Netherlands;
also available as a gzip compressed
postscript file.

Marilyn Emerson Holtzer,
G. Larry Bretthorst, D. Andre d'Avignon,
Ruth Hogue Angelette,
Lisa Mints,
and Alfred Holtzer, 2001,
"Temperature Dependence of the Folding and Unfolding Kinetics
of the GCN4 Leucine Zipper via 13C alphaNMR,"
Biophysical Journal, 80, pp. 939951;
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 2001,
"Nonuniform Sampling: Bandwidth and Aliasing,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
Joshua Rychert, Gary Erickson and C. Ray Smith Eds., pp. 128,
AIP conference proceedings,
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 2001,
"Generalizing The LombScargle Periodogram,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
Ali MohammadDjafari Ed., pp. 241245,
AIP conference proceedings,
also available as a gzip compressed
postscript file.

Bretthorst, G. Larry, 2001,
"Generalizing The LombScargle Periodogram  The Nonsinusoidal Case"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
Ali MohammadDjafari Ed., pp. 246251,
AIP conference proceedings,
also available as a gzip compressed
postscript file.

J.D. Quirk, G.L. Bretthorst, and J.J. Neil, 2001,
"Utilizing MRI to Measure the Transcytolemmal Water Exchange Rate for the Rat Brain,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
J.T. Rychert, G.J. Erickson, and C.R. Smith, Eds.,
American Institute of Physics, Melville, NY, pp. 285295.

D. A. Yablonskiy, A.L. Sukstanskii, J.C. Leawoods, D.S. Gierada, G.L. Bretthorst, S.S. Lefrak, J.D. Cooper, and M.S. Conradi, 2002,
"Quantitative in Vivo Assessment of Lung Microstructure at the Alveolar Level with Hyperpolarized 3He Diffusion MRI,"
Proc. Nat'l. Acad. Sci. USA, 99:31113116.

J. Quirk, G.L. Bretthorst, T.Q. Duong, A.Z. Snyder, C.S. Springer, J.J.H. Ackerman, and J.J. Neil, 2003,
"Equilibrium Transcytolemmal Water Exchange in Rat Brain,"
Magn. Reson. in Med., 50:493499.

M. Merritt, G.L. Bretthorst, S.C. Burgess, A.D. Sherry, and C.R. Malloy, 2003,
"Sources of Plasma Glucose by Automated Bayesian Analysis of 2H NMR Spectra,"
Magn. Reson. in Med., 50:65963.

D.A. Yablonskiy, G.L. Bretthorst, J.J.H. Ackerman, 2003,
"Statistical Model for Diffusion Attenuated MR Signal,"
Magn. Reson. in Med., 50:6649.

E.T. Jaynes, 2003,
Probability Theory:
"The Logic of Science," Edited by G. Larry Bretthorst, Cambridge University Press.

G. Larry Bretthorst, 2003,
"Frequency Estimation, Multiple Stationary Nonsinusoidal Resonances With Trend,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
C. J. Willimas Ed., pp. 322,
AIP conference proceedings.

G. Larry Bretthorst, 2003,
"Frequency Estimation and Generalized LombScargle Periodograms,"
in Statistical Challenges in Astronomy, pp. 309324, with commentary
by Thomas J. Loredo, p. 325, Eric D. Feigelson and G. Jogesh Babu Eds.,
SpringerVerlag, New York.

G. Larry Bretthorst, Christopher D. Kroenke, and Jeffrey J. Neil, 2004,
"Characterizing Water Diffusion In Fixed Baboon Brain,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
Rainer Fischer, Roland Preuss and Udo von Toussaint
Eds., 735, pp. 315,
AIP conference proceedings.

M.E. Merritt, S. Burgess, F.M. Jeffreys, A.D Sherry, C. Malloy, and G. Larry Bretthorst, 2004,
"TCA Cycle Turnover and Serum Glucose Sources by Automated Bayesian Analysis of NMR Spectra,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
G. Erickson, and Y. Zhai, Eds.,
American Institute of Physics, Melville, NY, pp. 314322.

J.A. Goodman, G.L. Bretthorst, C.D. Kroenke, J.J.H. Ackerman, and J.J. Neil, 2004,
"Estimating the Sodium Ion Diffusion Coefficient in Rat Brain,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
G. Erickson, and Y. Zhai, Eds.,
American Institute of Physics, Melville, NY, pp. 323329.

J.S. Shimony, J.J. Lee, and G.L. Bretthorst, 2005,
"Estimation of Cerebral Blood Flow from Dynamic Susceptibility Contrast MRI using a Tissue Model,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
K.H. Knuth, A.E. Abbas, R.D. Morris, and J.P. Castel, Eds.,
American Institute of Physics, Melville, NY, pp. 535542.

J.A. Goodman, C.D. Kroenke, G.L. Bretthorst, J.J.H. Ackerman, and J.J. Neil, 2005,
"Sodium Ion Apparent Diffusion Coefficient in Living Rat Brain,"
Magn. Reson. in Med., 53:10405.

Christopher D. Kroenke, G. Larry Bretthorst, Terrie E. Inder, and Jeffrey J. Neil, 2005,
"Diffusion MR imaging characteristics of the developing primate brain,"
NeuroImage, 25, pp. 12051213.

G. Larry Bretthorst, William C. Hutton, Joel R. Garbow, Joseph J.H.
Ackerman, 2005,
"Exponential parameter estimation (in NMR) using Bayesian probability theory,"
Concepts in Magnetic Resonance, 27A, Issue 2, pp. 5563.

G. Larry Bretthorst, William C. Hutton, Joel R. Garbow, Joseph J.H. Ackerman, 2005,
"Exponential model selection (in NMR) using Bayesian probability theory,"
Concepts in Magnetic Resonance, 27A, Issue 2, pp. 6472.

G. Larry Bretthorst, 2005,
"How accurately can parameters from exponential models be estimated? A Bayesian view,"
Concepts in Magnetic Resonance, 27A, Issue 2, pp. 7383.

C.D. Kroenke, G.L. Bretthorst, T.E. Inder, and J.J. Neil, 2006,
"Modeling Water Diffusion Anisotropy within Fixed Prenatal Primate Brain using Bayesian Probability Theory,"
Magn. Reson. in Med., 55:187197.

D.A. d'Avignon, G.L. Bretthorst, M.E. Holtzer, K.A. Schwarz, R H. Angeletti, L. Mints, and A. Holtzer, 2006,
"Sitespecific Experiments on Folding/Unfolding of Jun CoiledCoils: Thermodynamic and Kinetic Parameters from Spin Inversion Transfer Nuclear Magnetic Resonance at Leucine18,"
Biopolymers, 83:255267.

K.R. Marutyan, C.C. Anderson, K.A. Wear, M.R. Holland, J.G. Miller, and G.L. Bretthorst, 2007,
"Parameter Estimation in Ultrasonic Measurements on Trabecular Bone,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
K.H. Knuth, A. Caticha, J.L. Center Jr., A. Giffin, and C.C. Rodrigues, Eds.,
American Institute of Physics, Melville, NY, pp. 329336.

K.R. Marutyan,
G.L. Bretthorst,
J.G. Miller, 2007,
"Bayesian estimation of the underlying bone properties from mixed fast and slow mode ultrasonic signals,"
J. Acoust. Soc. Am. 121(1) EL815.

C.C. Anderson, K.R. Marutyan, K.A. Wear, M.R. Holland, J.G. Miller, and G.L. Bretthorst, 2007,
"Model Selection In Ultrasound Measurements on Trabecular Bone,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
K.H. Knuth, A. Caticha, J.L. Center Jr., A. Giffin, and C.C. Rodrigues, Eds.,
American Institute of Physics, Melville, NY, pp. 337345.

J.S. Shimony, A.A. Epstein, and G.L. Bretthorst, 2007,
"Computing the Probability of Local Brain Connectivity using Diffusion Tensor Imaging,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
K.H. Knuth, A.Caticha, J.L. Center Jr., A. Giffin, and C.C. Rodrigues, Eds.,
American Institute of Physics, Melville, NY, pp. 346353.

C.D. Kroenke, D.C. Van Essen, T.E. Inder, S. Rees, G.L. Bretthorst, and J.J. Neil, 2007,
"Microstructural Changes of the Baboon Cerebral Cortex during Gestational Development
Reflected in Magnetic Resonance Imaging Diffusion Anisotropy"
J. Neurosci., 27:1250612515.

A.L. Sukstanskii,
G.L. Bretthorst,
Y.V. Chang,
M.S. Conradi,
and D.A. Yablonskiy, 2007,
"How Accurately Can the Parameters from a Model of Anistropic 3He Gas Diffusion in Lung Acinar Airways be Estimated? A Bayesian view,"
J. Magn. Reson., 184 pp. 6271.

G. Larry Bretthorst, 2008,
"Automatic phasing of MR Images. Part I: Linearly varying phase,"
J. Mag. Res., 191, 184192.

G. Larry Bretthorst, 2008,
"Automatic phasing of MR Images. Part II: Voxelwise phase estimation,"
J. Mag. Res., 191, 192201.

A.M. Prantner, G.L. Bretthorst, J.R. Garbow, J.J. Neil, and J.J.H. Ackerman, 2008,
"Magnetization Transfer Induced Biexponential Longitudinal Relaxation,"
Magn. Reson. in Med., 60 555563.

J.D. Quirk,
A.L. Sukstanskii,
G.L. Bretthorst,
and D.A. Yablonskiy, 2008,
"Optimal Sample Parameter Estimates from Phased Array Coil Data Utilizing Joint Bayesian Analysis",
Proceedings of the International Society for Magnetic Resonance in Medicine, 11 pp. 491.

G.L. Bretthorst, W.C. Hutton, J.R. Garbow, J.J.H. Ackerman, 2008,
"High Dynamic Range MRS TimeDomain Signal Analysis,"
Magn. Reson. in Med., 62, 10261035.

K.R. Marutyan and G.L. Bretthorst, 2009,
"The Bayesian Analysis Software Developed At Washington University,"
in Bayesian Inference and Maximum Entropy Methods in Science and Engineering,
P.M. Goggans and ChungYong Chan, Eds.,
American Institute of Physics, Melville, NY, pp. 368381.

J.D. Quirk,
A.L. Sukstanskii,
G.L. Bretthorst,
D.A. Yablonskiy, 2009
"Optimal Decay Rate Constant Estimates from Phased Array Data Utilizing Joint Bayesian Analysis.",
J. Magn. Reson., 198 pp. 4956.

J.J. Lee,
G.L. Bretthorst,
C.P. Derdeyn,
W.J. Powers,
T.O. Videen,
A.Z. Snyder,
J. Markham,
and J.S. Shimony, 2010,
"Dynamic Susceptibility Contrast MRI with Localized Arterial Input Functions,"
Magn. Reson. Med., 63, pp. 13051314.

Christian C. Anderson,
Adam Q. Bauer,
and Mark R. Holland,
Michal Pakula,
Pascal Laugier,
G. Larry Bretthorst, 2010
"Inverse problems in cancellous bone: Estimation of the ultrasonic properties of fast and slow waves using Bayesian probability
theory,"
J. Acoust. Soc .Am.,
128(5) pp. 29402948.

T.J. Mitchel,
J.J. Neil,
J.M. Zempel,
L.L. Thio,
T.E. Inder,
G.L. Bretthorst, 2012,
"Automating the analysis of EEG recordings from prematurelyborn infants: A Bayesian approach,"
Clin Neurophysiol. pii: S13882457(12)006001.

G. Larry Bretthorst, 2013,
"The Maximum Entropy Method of Moments and Bayesian Probability Theory,"
to appear in Bayesian Inference and Maximum Entropy Methods in Science and Engineering, AIP conference proceedings.
This site is being maintained by:
Larry Bretthorst
Dept. Of Chemistry and Radiology
Washington University
St. Louis MO 63130
Phone: 314 3629994