Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1147005 | Journal of Multivariate Analysis | 2008 | 14 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Grzegorz A. Rempala, Iwona Pawlikowska,