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Ergodicity, mixing and the Bernoulli property in a DNA hybridization microarray
Author(s) -
Sturman Rob,
Wiggins Stephen
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700383
Subject(s) - ergodicity , ergodic theory , bernoulli's principle , mixing (physics) , automorphism , dna microarray , theoretical computer science , computer science , statistical physics , physics , biological system , mathematics , biology , discrete mathematics , pure mathematics , genetics , quantum mechanics , thermodynamics , gene expression , gene
Pulsed source–sink devices are an effective way of achieving dynamic hybridization in DNA microarrays. These can be modelled as linked twist maps, and in particular, basing the design on the dynamics of a hyperbolic toral automorphism allows the application of a set of techniques from ergodic theory. This gives a rigorous framework in which to discuss mixing. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)