Limit Theorems for Hybridization Reactions on Oligonucleotide Microarrays

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Rempala, Grzegorz A.
Pawlikowska, Iwona
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Abstract
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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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Mathematics - Probability, Mathematics - Statistics Theory, Quantitative Biology - Quantitative Methods, 60F05, 60G35
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