Limit Theorems for Hybridization Reactions on Oligonucleotide Microarrays

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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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Probability, Statistics Theory, Quantitative Methods, 60F05, 60G35

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http://salesiana.dossiersoluciones.com/handle/123456789/154449

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.1192
 http://arxiv.org/abs/0802.1192

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arXiv