Limit Theorems for Hybridization Reactions on Oligonucleotide Microarrays

Details Limit Theorems for Hybridization Reactions on Oligonucleotide Microarrays Limit Theorems for Hybridization Reactions on Oligonucleotide Microarrays

2008-02-08

arxiv.org/abs/0802.1192v1

Mathematics

Probability

Scientific paper

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.

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