| Title: |
Limit Theorems for Hybridization Reactions on |
| Authors: |
Oligonucleotide Microarrays; Grzegorz A. Rempala; Iwona Pawlikowska |
| Contributors: |
The Pennsylvania State University CiteSeerX Archives |
| Source: |
http://arxiv.org/pdf/0802.1192v1.pdf. |
| Publication Year: |
2008 |
| Collection: |
CiteSeerX |
| Description: |
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. Keywords: Birth-and death-process, density-dependent Markov process, oligonucleotide microarray, hybridization reaction, gamma distribution, Langmuir adsorption-desorption model. |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.242.9202; http://arxiv.org/pdf/0802.1192v1.pdf |
| Availability: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.242.9202; http://arxiv.org/pdf/0802.1192v1.pdf |
| Rights: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: |
edsbas.C464904B |
| Database: |
BASE |