Limit theorems for hybridization reactions on oligonucleotide microarrays

Grzegorz A. Rempala and Iwona Pawlikowska

Journal of Multivariate Analysis, 2008, vol. 99, issue 9, 2082-2095

Abstract: We derive herein the limiting laws for certain stationary distributions of birth-and-death processes related to the classical model of chemical adsorption-desorption reactions due to Langmuir. The model has been recently considered in the context of a hybridization reaction on an oligonucleotide DNA-microarray. Our results imply that the truncated-gamma- and beta-type distributions can be used as approximations to the observed distributions of the fluorescence readings of the oligo-probes on a microarray. These findings might be useful in developing new model-based, probe-specific methods of extracting target concentrations from array fluorescence readings.

Keywords: 60F05; 60G35; Birth-and-death; process; Density-dependent; Markov; process; Oligonucleotide; microarray; Hybridization; reaction; Gamma; distribution; Langmuir; adsorption-desorption; model (search for similar items in EconPapers)
Date: 2008
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