Download Computing with Cells and Atoms: An Introduction to Quantum, by Cris Calude, Gheorghe Paun PDF

By Cris Calude, Gheorghe Paun

Offers the most useful effects mentioned to this point and the most theoretical advancements in DNA computing assurance. The authors speak about Adleman's well-known test, with next varients in addition to many theoretical types: sticky label platforms and Watson-Crick automata, insertion-deletion platforms, splicing structures and the assumption of computing by way of carving.

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Extra resources for Computing with Cells and Atoms: An Introduction to Quantum, DNA and Membrane Computing

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By cooling down the temperature, these primers will anneal to the single strands a, and ad (at their 5' ends). By adding a polymerase (and a large enough amount of free nucleotides), both a,, and Ad will act as templates, they will be completed with complementary nucleotides, starting from the primers, until obtaining double stranded molecules. In this way, the number of copies of the molecule a is doubled. The process is then repeated. (a) 5/X Y,. 9: Insertion by mismatching annealing. There are many technical details here which are not important for us.

We melt again the DNA and we use once more the PCR technique for obtaining double stranded molecules; they have the subsequence 'y inserted in the context a, A, as desired. In a similar way one can delete (or even substitute) a subsequence from a DNA molecule. Multiplying DNA molecules. One of the main attractive features of DNA from the point of view of computability is the parallelism: in a small space one can have a huge number of molecules. Very important in this context is the fact that we can also have a huge number of identical molecules.

However, appropriate modifications of them will be applied for DNA double strands as well. Merge. Given tubes N1 and N2 , form their union N1 U N2 (understood as a multiset). Amplify. Given a tube N, produce two copies of it, N1 and N2 . Detect. Given a tube N, return true if N contains at least one DNA strand, otherwise return false. Separate (or Extract). Given a tube N and a word w over the alphabet {A, C, G, T}, produce two tubes +(N, w) and - (N, w), where +(N, w) consists of all strands in N which contain w as a (consecutive) substring and, similarly, -(N, w) consists of all strands in N which do not contain w as a substring.

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