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2016 | 130 | 1 | 45-50
Article title

Prediction of the Probabilities of the Transmission of Genetic Traits within Bayesian Logical Inference

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Abstracts
EN
Predictions for the transmission of genetic traits along to generations are an important process for patients, their family and genetic counseling. For this purpose, Bayesian analysis in which one can include a priori knowledge taking into account all relevant information into the problem could be a useful tool to examine how disease forecasting affects its probability so that it provides a more straightforward interpretation of predictions. Therefore, we investigate here transmissions of autosomal recessive diseases along to generations within Bayesian framework. In order to do that we develop a computer code that is useful to facilitate genetic transition matrices to forecast predictions of probabilities of transmission of genetic traits by using Mathematica software, well known as an algebraic manipulation language. Furthermore, the symbolic implementation of the code is applied for the cystic fibrosis disease forecasting in humans genetics. All results show that Bayesian analysis plays a central role of prediction for probabilities of transmissions of genetic traits along generations for cystic fibrosis disease or other autosomal recessive disorders.
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author
  • Istanbul University, Science Faculty, Mathematics Department, Istanbul, Turkey
  • Marmara University, Arts and Science Faculty, Mathematics Department, Istanbul, Turkey
References
  • [1] K. Lange, Mathematical and Statistical Methods for Genetic Analysis, Springer-Verlag, New York 2002, doi: 10.1007/978-0-387-21750-5
  • [2] P. Szolovits, S.P. Pauker, in: MEDINFO 92: Proc. Seventh Conf. on Medical Informatics, Eds. K.C. Lun, P. Degoulet, T.E. Piemme, O. Rienhoff, Elsevier, Holland 1992, p. 679
  • [3] T. Bayes, Philos. Trans. 53, 370 (1763), doi: 10.1093/biomet/45.3-4.296
  • [4] N. Yi, D. Zhi, Genet. Epidemiol. 35, 57 (2011), doi: 10.1002/gepi.20554
  • [5] J. Hallander, P. Waldmann, P. Wang, M.J. Sillanpää, Genetics 185, 645 (2010), doi: 10.1534/genetics.110.114249
  • [6] H. Alexander, N.A. Slade, R. Gomulkiewicz, Theor. Appl. Genet. 91, 1284 (1995), doi: 10.1007/BF00220942
  • [7] J. Zhu, J. Liu, C. Lawrence, Bioinformatics 14, 25 (1998), doi: 10.1093/bioinformatics/14.1.25
  • [8] E. Gunel, S. Weardon, Theor. Appl. Genet. 91, 534 (1995), doi: 10.1007/BF00222985
  • [9] A. Rogatko, S. Zacks, Am. J. Hum. Genet. 52, 947 (1993)
  • [10] I. Hoeschele, P.M. VanRaden, Theor. Appl. Genet. 85, 946 (1993), doi: 10.1007/BF00215034
  • [11] S. Ogino, R.B. Wilson, W.W. Grody, J. Med. Genet. 41, 1 (2004), doi: 10.1136/jmg.2003.015065
  • [12] S. Ogino, R.B. Wilson, J. Mol. Diagnost. 6, 1 (2004), doi: 10.1016/S1525-1578(10)60484-9
  • [13] G.A. Carlson, Am. J. Agricult. Econ. 52, 216 (1970), doi: 10.2307/1237492
  • [14] J.E. Yuen, G. Hughes, Plant Pathology 51, 407 (2002), doi: 10.1046/j.0032-0862.2002.00741.x
  • [15] B. Kirkpatrick, in: Proc. Int. Symp. on Bioinformatics Research and Applications (ISBRA), Eds.: L. Bleris, I. Măndoiu, R. Schwartz, J. Wang, Springer Verlag, USA 2012, p. 139, doi: 10.1007/978-3-642-30191-9_14
  • [16] A.B. Côté, B. Kirkpatrick, NIPS: Neural Inform. Process. Syst. 25, 2906 (2012)
  • [17] M. Boehnke, P.P. Moll, Am. J. Hum. Genet. 44, 216 (1989)
  • [18] J.M. Lalouel, N.E. Morton, Hum. Hered. 31, 312 (1981), doi: 10.1159/000153231
  • [19] L.A. Farrer, L.A. Cupples, Am. J. Hum. Genet. 54, 374 (1994)
  • [20] J. Shoemaker, I.S. Painter, B.S. Weir, Trends Genet. 15, 354 (1999), doi: 10.1016/S0168-9525(99)01751-5
  • [21] W. Stansfield, M.A. Carlton, Am. Biol. Teacher 66, 177 (2003), doi: 10.2307/4451651
  • [22] M.A. Carlton, J. Statist. Educat. 13, (2005) http://amstat.org/publications/jse/contents_2005.html
  • [23] C.S. Richards, L.A. Bradley, J. Amos, B. Allitto, W.W. Grody, A. Maddalena, M.J. McGinnis, T.W. Prior, B.W. Popovich, M.S. Watson, G.E. Palomaki, Genet. Med. 4, 379 (2002)
  • [24] M.R. Knowles, M. Drumm, Cold Spring Harb. Perspect. Med. 2, a009548 (2012), doi: 10.1101/cshperspect.a009548PMid:23209180
  • [25] M.L. Drumm, A.G. Ziady, P.B. Davis, Annu. Rev. Pathol. 7, 267 (2012), doi: 10.1146/annurev-pathol-011811-120900
  • [26] A. Gelman, J.B. Carlin, H.S. Stern, D.B. Rubin, Bayesian Data Analysis, Chapman and Hall, New York 1995, Ch. 7
  • [27] M. Botje, Introduction to Bayesian Inference, NIKHEF, Amsterdam 2009
  • [28] M. Cevri, D. Ustundag, IET Signal Process 6, 673 (2012), doi: 10.1049/iet-spr.2011.0335
  • [29] M. Cevri, D. Ustundag, in: Computational Problems in Engineering, Eds. N. Mastorakis, V. Mladenov, Springer Verlag, Bern 2014, p. 13, doi: 10.1007/978-3-319-03967-1
  • [30] D.A. Berry, Statistics: A Bayesian Perspective, Wadsworth Publ., Belmont, CA 1996
  • [31] W.R. Uhlmann, J.L. Schuette, B.M. Yashar, A Guide to Genetic Counseling, Wiley-Blackwell, 2009, p. 108
  • [32] D.L. Harti, E.W. Jones, Genetics: Analysis of Genes and Genomes, 6th ed., Jones and Bartlett, Sudbury, MA 2005
  • [33] D.C. Lay, Linear Algebra and Its Applications, 4th ed., Pearson Education, 2012
  • [34] H.R. Kenneth, Discrete Mathematics and Its Applications, McGraw-Hill, 2012
  • [35] M. Cevri, D. Ustundag, Y. Gökdemir, B.T. Karadag, Selçuk J. Appl. Math., in press, 2016
  • [36] P. Miller, A. Hamosh, M. Macek, P. Greenberger, J. Maclean, S. Walden, R. Slavin, G. Cutting, Am. J. Hunt Genet. 59, 45 (1996)
  • [37] World Health Organization, The Molecular Genetic Epidemiology of Cystic Fibrosis, WHO, Italy 2004
  • [38] A. Anand, E. Tullis, A. Stephenson, P. Abhyankar, J. Cyst. Fibros. 13, 306 (2014), doi: 10.1016/j.jcf.2013.10.013
  • [39] C.F. Foundation, Cystic Fibrosis Foundation Patient Registry, 2008 Annual Data Report, Bethesda, MD 2009
  • [40] M.F. Wildhagen, L.P. ten Kate, J.F. Habbema, Brit. Med. Bull. 54, 857 (1998), doi: 10.1093/oxfordjournals.bmb.a011734
  • [41] M.S. Irish, J.M. Ragi, H. Karamanoukian, D.S. Borowitz, D. Schmidt, P.L. Glick, Pediat. Surg. Int. 12, 434 (1997), doi: 10.1007/BF01076961
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv130n1012kz
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