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The EM algorithm and its implementation for the estimation of frequencies of SNP-haplotypes

Joanna Polańska — 2003

International Journal of Applied Mathematics and Computer Science

A haplotype analysis is becoming increasingly important in studying complex genetic diseases. Various algorithms and specialized computer software have been developed to statistically estimate haplotype frequencies from marker phenotypes in unrelated individuals. However, currently there are very few empirical reports on the performance of the methods for the recovery of haplotype frequencies. One of the most widely used methods of haplotype reconstruction is the Maximum Likelihood method, employing...

Method for mass spectrometry spectrum deisotoping based on fuzzy inference systems

Anna GlodekJoanna Polańska — 2018

Mathematica Applicanda

Nowadays, mass spectrometry is widely used in proteomics for confident and precise identification of the protein. One of the most important steps in the signal analysis is deisotoping because some peaks in the spectrum are not the unique compound, but there are members of an isotopic envelope. Although the mass spectrometry is present in proteomics for a long time already, the problem of isotope peaks identification is not solved yet. The existing algorithms, usually designed for the particular...

Node assignment problem in Bayesian networks

Joanna PolanskaDamian BorysAndrzej Polanski — 2006

International Journal of Applied Mathematics and Computer Science

This paper deals with the problem of searching for the best assignments of random variables to nodes in a Bayesian network (BN) with a given topology. Likelihood functions for the studied BNs are formulated, methods for their maximization are described and, finally, the results of a study concerning the reliability of revealing BNs' roles are reported. The results of BN node assignments can be applied to problems of the analysis of gene expression profiles.

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