Download DNA Computing: New Computing Paradigms by Gheorghe Paun, Grzegorz Rozenberg, Arto Salomaa PDF

By Gheorghe Paun, Grzegorz Rozenberg, Arto Salomaa

This is the 1st textual content and monograph approximately DNA computing, a molecular method that would revolutionize our considering and ideas approximately computing. even though it is simply too quickly to foretell no matter if desktop is probably going to alter from silicon to carbon and from microchips to DNA molecules, the theoretical premises have already been studied largely. The booklet begins with an advent to DNA-related concerns, the fundamentals of biochemistry and language and computation conception, and progresses to the complicated mathematical concept of DNA computing.

Apart from being famous scientists, all 3 authors are recognized for his or her lucid writing. a lot of their prior books became classics of their box, and this publication too is certain to keep on with their example.

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Additional resources for DNA Computing: New Computing Paradigms

Example text

We put the oligos Si in the "soup," whereas Adleman puts there the oligos h(Si). 1. Adleman's Experiment 47 In Adleman's experiment, the scale of the ligation reaction far exceeded what was necessary for the graph of this size. Indeed, for each edge, a number of magnitude 10 13 copies of the encoding oligonucleotide were present in the soup. This means that many DNA molecules encoding the Hamiltonian path were probably created, although the existence of a single such molecule would prove the existence of a Hamiltonian path.

The represented binary sequences are of the form wOk-I, where w is an arbitrary binary sequence of length l. In the initial test tube, the first I substrands of the memory complexes represent the actual input, whereas the remaining k -I substrands are used for intermediate storage and output. The computational paradigm associated with the sticker model is to settle hard problems by exhaustive combinatorial searches over inputs of length I. All possible 21 inputs are processed in parallel. One can also say that this paradigm is the essence of DNA computing in general.

However, some overall remarks can be made. A natural way to realize the operation merge is to pour the contents of one tube into another. At least intuitively, this is faster and less error prone than the operation separate which certainly requires much more sophisticated techniques. The same holds true with respect to the operation detect. However, it appears that in standard programs detect is rarely done. Consequently, the realization of detect does not affect much the complexity of the process, yet its error rate is important.

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