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Updated: Sep 29, 2025

Design and Synthesis of a Reconfigurable DNA Accordion Rack
Published on: August 15, 2018
Note on DNA Analysis and Redesigning Using Markov Chain
Maciej Zakarczemny1, Małgorzata Zajęcka1
1Department of Applied Mathematics, Faculty of Computer Science and Telecommunications, Cracow University of Technology (CUT), 24 Warszawska Street, 31-155 Cracow, Poland.
Abstract:
The paper contains a discussion on mathematical modifying and redesigning DNA with the use of Markov chains. We give a simple mathematical technique for overwriting missing parts of DNA. With a certain probability (without even knowing the function of the missing codon) we can find a synonymous codon, so that there is no frequency change in amino acid sequences of proteins. We use Markov Chain to analyze the dependencies in DNA sequence of the human gene Alpha 1,3-Galactosyltransfe rase 2. We include a theoretical introduction which facilitates the understanding of the paper for non-mathematicians, especially for biologists not familiar with the theory of Markov chains.
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