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

• Authors: M. Cevri , D. Üstündağ
• Languages of publication: EN

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.

Keywords

EN

02.10.Ud; 02.50.Ga; 02.50.-r; 02.70.Rr; 07.05.Kf; 42.62.Be

Discipline

• 02.50.-r: Probability theory, stochastic processes, and statistics(see also section 05 Statistical physics, thermodynamics, and nonlinear dynamical systems)
• 02.10.Ud: Linear algebra
• 02.50.Ga: Markov processes
• 02.70.Rr: General statistical methods
• 42.62.Be: Biological and medical applications(see also 87.50.W-, 87.63.L-, and 87.80.Cc in biological and medical physics)
• 07.05.Kf: Data analysis: algorithms and implementation; data management(for data analysis in nuclear physics, see 29.85.-c)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 130
• Issue: 1
• Pages: 45-50

Dates

published

2016-07

Contributors

author

M. Cevri

• Istanbul University, Science Faculty, Mathematics Department, Istanbul, Turkey

author

D. Üstündağ

• Marmara University, Arts and Science Faculty, Mathematics Department, Istanbul, Turkey

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Identifiers

DOI

10.12693/APhysPolA.130.45