In:
International Journal of Biomathematics, World Scientific Pub Co Pte Ltd, Vol. 15, No. 04 ( 2022-05)
Abstract:
It is well known that some enzymes, proteins, amino-acids between other biological molecules have more than one way to be coded in the DNA. That means, there are some biological molecules that can be identified by a set of sequences. For instance, the enzyme SmaI can be recognized by the words [Formula: see text] and [Formula: see text] . In this paper, we count the number of times that a biological sequence occurs through the DNA by any of its configurations, i.e. we provide the strong law of large numbers for a word sequence. To achieve our goal, we consider that DNA is modeled by an ergodic semi-Markov chain. We also present the Central Limit Theorem. Additionally, we compute the first hitting position of a set of words.
Type of Medium:
Online Resource
ISSN:
1793-5245
,
1793-7159
DOI:
10.1142/S1793524522500139
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2022
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