Journal
MATHEMATICAL BIOSCIENCES
Volume 211, Issue 2, Pages 282-298Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2007.08.010
Keywords
discrete models of biomolecular processes; DNA algorithms; DNA computing; DNA extraction; DNA recombination; polymerase chain reaction
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A mathematical notation is introduced to represent, at a symbolic level, different mechanisms of DNA recombination, and a 'PCR lemma' is proven by analytically describing the combinatorial properties of the polymerase chain reaction process. This approach led to the discovery of novel techniques, based on a form of PCR which we called cross pairing PCR (briefly XPCR). They were mathematically analyzed and already experimentally proven in different contexts, such as DNA extraction and recombination. Thus, a mathematical analysis of standard methodologies may highlight novel mechanisms of DNA recombination and this can provide new technologies for DNA manipulation. (c) 2007 Elsevier Inc. All rights reserved.
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