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Hoffmann, R. A wiki for the life sciences where authorship matters. Nature Genetics (2008)
MeSH Review

Bayes Theorem

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Disease relevance of Bayes Theorem


High impact information on Bayes Theorem

  • Bayesian analysis and the GUSTO trial. Global Utilization of Streptokinase and Tissue Plasminogen Activator in Occluded Arteries [6].
  • According to Bayes' theorem, and taking into account the false-positive rates of the tests in the population studied and the prevalence of MS and the true-positive rates for the tests as derived from published reports, abnormalities of VER and CSF protein together gave a probability of MS of 100% [7].
  • We present probability graphs derived from Bayes' theorem, which show that for certain patients the B27 test, when used properly, is of clinical value as an aid to diagnosis [8].
  • Here, we perform a Bayesian analysis of mitochondrial and Y chromosome diversity in three matrilocal and three patrilocal groups from northern Thailand to infer the number of males and females arriving in these populations each generation and to estimate the age of their range expansion [9].
  • Bayesian analysis of linkage in the ATM IVS10-6T-->G-positive families showed an overall posterior probability of causality for this mutation of 0.008 [10].

Chemical compound and disease context of Bayes Theorem

  • Application of the Bayes' theorem showed that in SSS the probability to develop atrial fibrillation is 33% for V1 < 110 msec and is for V1 < 90 msec still higher than that reported in DDD paced patients [11].

Biological context of Bayes Theorem

  • Using this computed a priori risk of AD and published studies of APOE genotypes in individuals with and without AD, we used a Bayesian analysis to determine the risk of developing AD, with and without an APOE* epsilon 4 allele, for unaffected 65-year-olds [12].
  • These parameters were used as reference population values to estimate the pharmacokinetics of amikacin in a second group of 20 patients by the Bayesian method, with 2 blood samples per patient [13].

Anatomical context of Bayes Theorem


Associations of Bayes Theorem with chemical compounds

  • CONCLUSION: The applicability of a Bayesian method for the prediction of the carboplatin exposure by use of one or two samples without the necessity for exact timing of infusion duration and sampling was demonstrated [16].
  • The pharmacokinetic parameters of phenytoin in individual patients were estimated by means of empirical bayesian analysis, in which the prior information was the population parameters for Japanese patients with epilepsy [17].
  • Data from these experiments performed on glutamine-binding protein are analyzed statistically using Bayes' theorem to yield objective probability scoring functions for matching chemical shifts [18].
  • Sources of plasma glucose by automated Bayesian analysis of 2H NMR spectra [19].
  • Individualization of theophylline dosage: a Bayesian method evaluated in patients with once-daily dosing [20].

Gene context of Bayes Theorem

  • A Bayesian analysis of the influence of GSTT1 polymorphism on the cancer risk estimate for dichloromethane [21].
  • Finally, applying Bayes' theorem again, we obtained a probability of paternity of 0.992 for the ACTBP2 locus alone [22].
  • RESULTS: Bayesian analysis of the treatment effect for HER2 and other variables indicated a clinical benefit from CMF treatment in all subgroups defined according to variables status [23].
  • In our method, the variance of the source current at each source location is considered an unknown parameter and estimated from the observed MEG data and prior information by using the Variational Bayesian method [24].
  • The pretest likelihood for CAD was calculated from age and history; the post-test likelihood was calculated from Bayes' theorem and the average information content of several diagnostic methods was assessed in categorical and compartmental models [25].

Analytical, diagnostic and therapeutic context of Bayes Theorem


  1. Determining the likelihood of malignancy in solitary pulmonary nodules with Bayesian analysis. Part I. Theory. Gurney, J.W. Radiology. (1993) [Pubmed]
  2. Pharmacokinetics of Ibuprofen in children with cystic fibrosis. Han, E.E., Beringer, P.M., Louie, S.G., Gill, M.A., Shapiro, B.J. Clinical pharmacokinetics. (2004) [Pubmed]
  3. Diagnostic value of pleural fluid adenosine deaminase in tuberculous pleuritis with reference to HIV coinfection and a Bayesian analysis. Riantawan, P., Chaowalit, P., Wongsangiem, M., Rojanaraweewong, P. Chest (1999) [Pubmed]
  4. Using extended-connectivity fingerprints with Laplacian-modified Bayesian analysis in high-throughput screening follow-up. Rogers, D., Brown, R.D., Hahn, M. Journal of biomolecular screening : the official journal of the Society for Biomolecular Screening. (2005) [Pubmed]
  5. Diagnostic value of SCC, CEA and CYFRA 21.1 in lung cancer: a Bayesian analysis. Pastor, A., Menéndez, R., Cremades, M.J., Pastor, V., Llopis, R., Aznar, J. Eur. Respir. J. (1997) [Pubmed]
  6. Bayesian analysis and the GUSTO trial. Global Utilization of Streptokinase and Tissue Plasminogen Activator in Occluded Arteries. Avins, A.L. JAMA (1995) [Pubmed]
  7. Value of visual evoked response and oligoclonal bands in cerebrospinal fluid in diagnosis of spinal multiple sclerosis. Kempster, P.A., Iansek, R., Balla, J.I., Dennis, P.M., Biegler, B. Lancet (1987) [Pubmed]
  8. Diagnostic value of HLA-B27 testing ankylosing spondylitis and Reiter's syndrome. Khan, M.A., Khan, M.K. Ann. Intern. Med. (1982) [Pubmed]
  9. Molecular analysis reveals tighter social regulation of immigration in patrilocal populations than in matrilocal populations. Hamilton, G., Stoneking, M., Excoffier, L. Proc. Natl. Acad. Sci. U.S.A. (2005) [Pubmed]
  10. Are ATM mutations 7271T-->G and IVS10-6T-->G really high-risk breast cancer-susceptibility alleles? Szabo, C.I., Schutte, M., Broeks, A., Houwing-Duistermaat, J.J., Thorstenson, Y.R., Durocher, F., Oldenburg, R.A., Wasielewski, M., Odefrey, F., Thompson, D., Floore, A.N., Kraan, J., Klijn, J.G., van den Ouweland, A.M., Wagner, T.M., Devilee, P., Simard, J., van 't Veer, L.J., Goldgar, D.E., Meijers-Heijboer, H. Cancer Res. (2004) [Pubmed]
  11. Predictive value of the P wave at implantation for atrial fibrillation after VVI pacemaker implantation. Snoeck, J., Decoster, H., Vrints, C., Marchand, X., Kahn, J.C., Verherstraeten, M., Berkhof, M., Franque, L. Pacing and clinical electrophysiology : PACE. (1992) [Pubmed]
  12. Apolipoprotein E epsilon 4 allele and the lifetime risk of Alzheimer's disease. What physicians know, and what they should know. Seshadri, S., Drachman, D.A., Lippa, C.F. Arch. Neurol. (1995) [Pubmed]
  13. Population pharmacokinetics of amikacin in geriatric patients studied with the NPEM-2 algorithm. Debord, J., Charmes, J.P., Marquet, P., Merle, L., Lachâtre, G. International journal of clinical pharmacology and therapeutics. (1997) [Pubmed]
  14. Lower diagnostic accuracy of thallium-201 SPECT myocardial perfusion imaging in women: an effect of smaller chamber size. Hansen, C.L., Crabbe, D., Rubin, S. J. Am. Coll. Cardiol. (1996) [Pubmed]
  15. The effect of metformin on ovarian stimulation and in vitro fertilization in insulin-resistant women with polycystic ovary syndrome: an open-label randomized cross-over trial. Fedorcsák, P., Dale, P.O., Storeng, R., Abyholm, T., Tanbo, T. Gynecol. Endocrinol. (2003) [Pubmed]
  16. Validation of techniques for the prediction of carboplatin exposure: application of Bayesian methods. Huitema, A.D., Mathôt, R.A., Tibben, M.M., Schellens, J.H., Rodenhuis, S., Beijnen, J.H. Clin. Pharmacol. Ther. (2000) [Pubmed]
  17. Genetic polymorphism of the CYP2C subfamily and its effect on the pharmacokinetics of phenytoin in Japanese patients with epilepsy. Odani, A., Hashimoto, Y., Otsuki, Y., Uwai, Y., Hattori, H., Furusho, K., Inui, K. Clin. Pharmacol. Ther. (1997) [Pubmed]
  18. Automated probabilistic method for assigning backbone resonances of (13C,15N)-labeled proteins. Lukin, J.A., Gove, A.P., Talukdar, S.N., Ho, C. J. Biomol. NMR (1997) [Pubmed]
  19. Sources of plasma glucose by automated Bayesian analysis of 2H NMR spectra. Merritt, M., Bretthorst, G.L., Burgess, S.C., Sherry, A.D., Malloy, C.R. Magnetic resonance in medicine : official journal of the Society of Magnetic Resonance in Medicine / Society of Magnetic Resonance in Medicine. (2003) [Pubmed]
  20. Individualization of theophylline dosage: a Bayesian method evaluated in patients with once-daily dosing. Martz, W., Oellerich, M., Schnabel, D., Sybrecht, G.W. Therapeutic drug monitoring. (1991) [Pubmed]
  21. A Bayesian analysis of the influence of GSTT1 polymorphism on the cancer risk estimate for dichloromethane. Jonsson, F., Johanson, G. Toxicol. Appl. Pharmacol. (2001) [Pubmed]
  22. Microsatellite typing in a paternity case against a deceased man whose two brothers were available for testing. Tamaki, Y., Fukuda, M., Wang, W., Kishida, T. Nippon Hoigaku Zasshi (1996) [Pubmed]
  23. Response to cyclophosphamide, methotrexate, and fluorouracil in lymph node-positive breast cancer according to HER2 overexpression and other tumor biologic variables. Ménard, S., Valagussa, P., Pilotti, S., Gianni, L., Biganzoli, E., Boracchi, P., Tomasic, G., Casalini, P., Marubini, E., Colnaghi, M.I., Cascinelli, N., Bonadonna, G. J. Clin. Oncol. (2001) [Pubmed]
  24. Hierarchical Bayesian estimation for MEG inverse problem. Sato, M.A., Yoshioka, T., Kajihara, S., Toyama, K., Goda, N., Doya, K., Kawato, M. Neuroimage (2004) [Pubmed]
  25. Diagnostic value of computerized exercise testing in men without previous myocardial infarction. A multivariate, compartmental and probabilistic approach. Detry, J.M., Robert, A., Luwaert, R.J., Rousseau, M.F., Brasseur, L.A., Melin, J.A., Brohet, C.R. Eur. Heart J. (1985) [Pubmed]
  26. Diagnostic value of the bronchial provocation test with methacholine in asthma. A Bayesian analysis approach. Perpiñá, M., Pellicer, C., de Diego, A., Compte, L., Macián, V. Chest (1993) [Pubmed]
  27. Evaluation of a Bayesian method of amikacin dosing in intensive care unit patients with normal or impaired renal function. Lacarelle, B., Granthil, C., Manelli, J.C., Bruder, N., Francois, G., Cano, J.P. Therapeutic drug monitoring. (1987) [Pubmed]
  28. Dose adjustment strategy for oral microemulsion formulation of cyclosporine: population pharmacokinetics-based analysis in kidney transplant patients. Tokui, K., Kimata, T., Uchida, K., Yuasa, H., Hayashi, Y., Itatsu, T., Nabeshima, T. Therapeutic drug monitoring. (2004) [Pubmed]
  29. Critical analysis of the application of Bayes' theorem to sequential testing in the noninvasive diagnosis of coronary artery disease. Weintraub, W.S., Madeira, S.W., Bodenheimer, M.M., Seelaus, P.A., Katz, R.I., Feldman, M.S., Agarwal, J.B., Banka, V.S., Helfant, R.H. Am. J. Cardiol. (1984) [Pubmed]
  30. Statistical assessment of mediational effects for logistic mediational models. Huang, B., Sivaganesan, S., Succop, P., Goodman, E. Statistics in medicine. (2004) [Pubmed]
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