Limit Theorems for Hybridization Reactions on Oligonucleotide Microarrays
Probability
2008-02-11 v1 Statistics Theory
Quantitative Methods
Statistics Theory
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.
Cite
@article{arxiv.0802.1192,
title = {Limit Theorems for Hybridization Reactions on Oligonucleotide Microarrays},
author = {Grzegorz A. Rempala and Iwona Pawlikowska},
journal= {arXiv preprint arXiv:0802.1192},
year = {2008}
}