Zakarczemny Maciej, Zajęcka Małgorzata
Department of Applied Mathematics, Faculty of Computer Science and Telecommunications, Cracow University of Technology (CUT), 24 Warszawska Street, 31-155 Cracow, Poland.
Genes (Basel). 2022 Mar 21;13(3):554. doi: 10.3390/genes13030554.
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.
本文包含了关于使用马尔可夫链对DNA进行数学修饰和重新设计的讨论。我们给出了一种简单的数学技术来覆盖DNA缺失的部分。以一定概率（甚至无需知道缺失密码子的功能）我们可以找到一个同义密码子，从而使蛋白质氨基酸序列的频率不变。我们使用马尔可夫链来分析人类基因α-1,3-半乳糖基转移酶2的DNA序列中的相关性。我们还提供了一个理论介绍，以方便非数学家，特别是不熟悉马尔可夫链理论的生物学家理解本文。
