Markov chains: computing limit existence and approximations with DNA.

M Cardona; M A Colomer; J Conde; J M Miret; J Miró; A Zaragoza

doi:10.1016/j.biosystems.2005.05.003

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Markov chains: computing limit existence and approximations with DNA.

M Cardona·M A Colomer·J Conde·J M Miret·J Miró·A Zaragoza

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Abstract

We present two algorithms to perform computations over Markov chains. The first one determines whether the sequence of powers of the transition matrix of a Markov chain converges or not to a limit matrix. If it does converge, the second algorithm enables us to estimate this limit. The combination of these algorithms allows the computation of a limit using DNA computing. In this sense, we have encoded the states and the transition probabilities using strands of DNA for generating paths of the Markov chain.

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Algorithms Computational Biology Computer Simulation Computers, Molecular Markov Chains Comparative Study Journal Article Research Support, Non-U.S. Gov't

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M Cardona, M A Colomer, J Conde, J M Miret, J Miró, A Zaragoza. 2005. Markov chains: computing limit existence and approximations with DNA.. https://doi.org/10.1016/j.biosystems.2005.05.003

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