Nuclear Medicine and Biology
Volume 37, Issue 4 , Pages 443-451 , May 2010

Empirical Bayesian estimation in graphical analysis: a voxel-based approach for the determination of the volume of distribution in PET studies

  • Francesca Zanderigo

      Affiliations

    • Department of Molecular Imaging and Neuropathology, New York State Psychiatric Institute, New York, NY, USA
    • Corresponding Author InformationCorresponding author. Tel.: +1 212 543 2951; fax: +1 212 543 6017.
  • ,
  • R. Todd Ogden

      Affiliations

    • Department of Molecular Imaging and Neuropathology, New York State Psychiatric Institute, New York, NY, USA
    • Department of Psychiatry, College of Physicians and Surgeons, Columbia University, New York, NY, USA
    • Department of Biostatistics, Mailman School of Public Health, Columbia University, New York, NY, USA
  • ,
  • Alessandra Bertoldo

      Affiliations

    • Department of Information Engineering, University of Padova, Padova, Italy
  • ,
  • Claudio Cobelli

      Affiliations

    • Department of Information Engineering, University of Padova, Padova, Italy
  • ,
  • J. John Mann

      Affiliations

    • Department of Molecular Imaging and Neuropathology, New York State Psychiatric Institute, New York, NY, USA
    • Department of Psychiatry, College of Physicians and Surgeons, Columbia University, New York, NY, USA
  • ,
  • Ramin V. Parsey

      Affiliations

    • Department of Molecular Imaging and Neuropathology, New York State Psychiatric Institute, New York, NY, USA
    • Department of Psychiatry, College of Physicians and Surgeons, Columbia University, New York, NY, USA

Received 20 April 2009 ,Revised 9 November 2009 ,Accepted 9 February 2010.

References 

  1. Logan J, Fowler JS, Volkow ND, Wolf AP, Dewey SL, Schlyer DJ, et al. Graphical analysis of reversible radioligand binding from time-activity measurements applied to [N-11C-methyl]-(−)-cocaine PET studies in human subjects. J Cereb Blood Flow Metab. 1990;10(5):740–747
  2. Volkow ND, Fowler JS, Wang GJ, Dewey SL, Schlyer D, MacGregor R, et al. Reproducibility of repeated measures of carbon-11-raclopride binding in the human brain. J Nucl Med. 1993;34(4):609–613
  3. Price JC, Klunk WE, Lopresti BJ, Lu X, Hoge JA, Ziolko SK, et al. Kinetic modeling of amyloid binding in humans using PET imaging and Pittsburgh Compound-B. J Cereb Blood Flow Metab. 2005;25(11):1528–1547
  4. Schuitemaker A, van Berckel BN, Kropholler MA, Kloet RW, Jonker C, Scheltens P, et al. Evaluation of methods for generating parametric (R)-[11C]PK11195 binding images. J Cereb Blood Flow Metab. 2007;27(9):1603–1615
  5. Slifstein M, Laruelle M. Effects of statistical noise on graphic analysis of PET neuroreceptor studies. J Nucl Med. 2000;41(12):2083–2088
  6. Feng D, Wang Z, Huang S. A study on statistically reliable and computationally efficient algorithms for generating local cerebral blood flow parametric images with positron emission tomography. IEEE Trans Med Imaging. 1993;12:182–188
  7. Feng D, Huang SC, Wang Z, Ho D. An unbiased parametric imaging algorithm for non-uniformly sampled biomedical system parameter estimation. IEEE Trans Med Imaging. 1996;15:512–518
  8. Logan J, Fowler JS, Volkow ND, Ding YS, Wang GJ, Alexoff DL. A strategy for removing the bias in the graphical analysis method. J Cereb Blood Flow Metab. 2001;21(3):307–320
  9. Varga J, Szabo Z. Modified regression model for the Logan plot. J Cereb Blood Flow Metab. 2002;22:240–244
  10. Ichise M, Toyama H, Innis RB, Carson RE. Strategies to improve neuroreceptor parameter estimation by linear regression analysis. J Cereb Blood Flow Metab. 2002;22(10):1271–1281
  11. Ogden RT. Estimation of kinetic parameters in graphical analysis of PET imaging data. Stat Med. 2003;22:3557–3568
  12. Parsey RV, Ogden RT, Mann JJ. Determination of volume of distribution using likelihood estimation in graphical analysis: elimination of estimation bias. J Cereb Blood Flow Metab. 2003;23(12):1471–1478
  13. Ogden RT, Ojha A, Erlandsson K, Oquendo MA, Mann JJ, Parsey RV. In vivo quantification of serotonin transporters using [11C]DASB and positron emission tomography in humans: modeling considerations. J Cereb Blood Flow Metab. 2007;27(1):205–217
  14. Joshi A, Fessler JA, Koeppe RA. Improving PET receptor binding estimates from Logan plots using principal component analysis. J Cereb Blood Flow Metab. 2008;28:852–865
  15. Ichise M, Liow JS, Lu JQ, Takano A, Model K, Toyama H, et al. Linearized reference tissue parametric imaging methods: application to [11C]DASB positron emission tomography studies of the serotonin transporter in human brain. J Cereb Blood Flow Metab. 2003;23:1096–1112
  16. Ichise M, Vines DC, Gura T, Anderson GM, Suomi SJ, Higley JD, et al. Effects of early life stress on [11C]DASB positron emission tomography imaging of serotonin transporters in adolescent peer- and mother-reared rhesus monkeys. J Neurosci. 2006;26(17):4638–4643
  17. Ichise M, Cohen RM, Carson RE. Noninvasive estimation of normalized distribution volume: application to the muscarinic-2 ligand [(18)F]FP-TZTP. J Cereb Blood Flow Metab. 2008;28(2):420–430
  18. Yaqub M, Tolboom N, Boellaard R, van Berckel BN, van Tilburg EW, Luurtsema G, et al. Simplified parametric methods for [11C]PIB studies. NeuroImage. 2008;42(1):76–86
  19. Meyer PT, Sattler B, Winz OH, Fundke R, Oehlwein C, Kendziorra K, et al. Kinetic analyses of [123I]IBZM SPECT for quantification of striatal dopamine D2 receptor binding: a critical evaluation of the single-scan approach. NeuroImage. 2008;42(2):548–558
  20. Oquendo MA, Hastings RS, Huang YY, Simpson N, Ogden RT, Hu XZ, et al. Brain serotonin transporter binding in depressed patients with bipolar disorder using positron emission tomography. Arch Gen Psychiatry. 2007;64(2):201–208
  21. Parsey RV, Arango V, Olvet DM, Oquendo MA, Van Heertum RL, Mann JJ. Regional heterogeneity of 5-HT1A receptors in human cerebellum as assessed by positron emission tomography. J Cereb Blood Flow Metab. 2005;25(7):785–793
  22. Shidahara M, Seki C, Naganawa M, Sakata M, Ishikawa M, Ito H, et al. Improvement of likelihood estimation in Logan graphical analysis using maximum a posteriori for neuroreceptor PET imaging. Ann Nucl Med. 2009;23(2):163–171
  23. Bélanger MJ, Simpson NR, Wang T, Van Heertum RL, Mann JJ, Parsey RV. Biodistribution and radiation dosimetry of [11C]DASB in baboons. Nucl Med Biol. 2004;31(8):1097–1102
  24. Mawlawi O, Martinez D, Slifstein M, Broft A, Chatterjee R, Hwang DR, et al. Imaging human mesolimbic dopamine transmission with positron emission tomography: I. Accuracy and precision of D(2) receptor parameter measurements in ventral striatum. J Cereb Blood Flow Metab. 2001;21:1034–1057
  25. Parsey RV, Ojha A, Ogden RT, Erlandsson K, Kumar D, Landgrebe M, et al. Metabolite considerations in the in vivo quantification of serotonin transporters using 11C-DASB and PET in humans. J Nucl Med. 2006;47(11):1796–1802
  26. Jenkinson M, Smith S. A global optimisation method for robust affine registration of brain images. Med Image Anal. 2001;5:143–156
  27. Smith S. Fast robust automated brain extraction. Hum Brain Map. 2002;17:143–155
  28. Coleman TF, Li Y. On the convergence of reflective Newton ]methods for large-scale nonlinear minimization subject to bounds. Math Program. 1994;67(2):189–224
  29. Coleman TF, Li Y. An interior, trust region approach for nonlinear minimization subject to bounds. SIAM J Optim. 1996;6:418–445
  30. Spath H. Cluster Dissection and Analysis; Theory, FORTRAN Programs, Examples (translated by Goldschmidt J), Ellis Horwood Limited, Chichester, and Wiley, New York, 226 pp. (1985)
  31. Chiu S. Fuzzy model identification based on cluster estimation. J Intell Fuzzy Syst. 1994;2(3):269–278
  32. Rahmim A, Dinelle K, Cheng J, Shilov MA, Segars WP, Lidstone SC, et al. Accurate event-driven motion compensation in high-resolution PET incorporating scattered and random events. IEEE Trans Med Imaging. 2008;27(8):1018–1033

 Disclosure/conflict of interest: No one of the authors has conflict of interest to declare.

☆☆ Funding for studies provided by NARSAD and NIH grants 5 R01 MH040695-17 and 5 P50 MH062185-08.

PII: S0969-8051(10)00029-6

doi: 10.1016/j.nucmedbio.2010.02.004

Nuclear Medicine and Biology
Volume 37, Issue 4 , Pages 443-451 , May 2010