Statistic Research Group

TITLE: Limit theorem for microarrays hybridization.
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We derive the limiting laws for certain types of birth-and-death processes related to the celebrated model of chemical adsorption-desorption reactions due to Langmuir. This Langmuir adsorption-desorption model has been recently considered in the context of the 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. Additionally, they also provide insight into oligo probe’s signal saturation and signal thresholding phenomena and might be potentially useful in developing new model-based, probe-specific methods of extracting target concentrations from array fluorescence readings.