Biology – Quantitative Biology – Quantitative Methods
Scientific paper
2009-12-03
International Journal of Computer Engineering Research, 3(1):10-19, January 2012
Biology
Quantitative Biology
Quantitative Methods
To appear in the International Journal of Computer Engineering Research. Minor changes made to make the preprint as similar as
Scientific paper
10.5897/IJCER10.016
On distributed memory electronic computers, the implementation and association of fast parallel matrix multiplication algorithms has yielded astounding results and insights. In this discourse, we use the tools of molecular biology to demonstrate the theoretical encoding of Strassen's fast matrix multiplication algorithm with DNA based on an $n$-moduli set in the residue number system, thereby demonstrating the viability of computational mathematics with DNA. As a result, a general scalable implementation of this model in the DNA computing paradigm is presented and can be generalized to the application of \emph{all} fast matrix multiplication algorithms on a DNA computer. We also discuss the practical capabilities and issues of this scalable implementation. Fast methods of matrix computations with DNA are important because they also allow for the efficient implementation of other algorithms (i.e. inversion, computing determinants, and graph theory) with DNA.
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