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Limit theorems for hybridization reactions on oligonucleotide microarrays

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  • Rempala, Grzegorz A.
  • Pawlikowska, Iwona

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.

Suggested Citation

  • Rempala, Grzegorz A. & Pawlikowska, Iwona, 2008. "Limit theorems for hybridization reactions on oligonucleotide microarrays," Journal of Multivariate Analysis, Elsevier, vol. 99(9), pages 2082-2095, October.
    • Handle: RePEc:eee:jmvana:v:99:y:2008:i:9:p:2082-2095
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    References listed on IDEAS

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    1. Burden Conrad J & Pittelkow Yvonne E & Wilson Susan R, 2004. "Statistical Analysis of Adsorption Models for Oligonucleotide Microarrays," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 3(1), pages 1-29, December.
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