DNA microarrays: Design principles for maximising ergodic, chaotic mixing

JM Hertzsch, R Sturman, S Wiggins

Research output: Contribution to journalArticle (Academic Journal)peer-review

32 Citations (Scopus)

Abstract

In this article we show that models of flows in DNA microarrays generated by pulsed source-sink pairs can be studied as linked twist maps. The significance of this is that it enables us to relate the flow to mathematically precise notions of chaotic mixing that can be realized through specific design criteria. We apply these techniques to three different mixing protocols, two of which have been previously described in the literature, and we are able to isolate the features of each mixer that lead to good or bad mixing. Based on this, we propose a new design to generate a well-mixed flow in a DNA microarray.
Translated title of the contributionDNA microarrays: Design principles for maximising ergodic, chaotic mixing
Original languageEnglish
Pages (from-to)202 - 218
Number of pages17
JournalSmall
Volume3 (2)
DOIs
Publication statusPublished - Feb 2007

Bibliographical note

Publisher: Wiley

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