Classification and Recognition of Structures of Genetic Sequences
For solving problems of determining the relationships between the properties of organisms and the properties of the corresponding genetic sequences, we proposed a classification of genetic sequences based on numerical indicators of recurrent and Z-recurrent shapes, which define the structure of func...
Ausführliche Beschreibung
Autor*in: |
Vladimir Aleksandrovich Tverdokhlebov [verfasserIn] Denis A. Kariakin [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch ; Russisch |
Erschienen: |
2019 |
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Schlagwörter: |
recurrent definition of a sequence |
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Übergeordnetes Werk: |
In: Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика - Saratov State University, 2019, 19(2019), 3, Seite 338-350 |
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Übergeordnetes Werk: |
volume:19 ; year:2019 ; number:3 ; pages:338-350 |
Links: |
Link aufrufen |
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DOI / URN: |
10.18500/1816-9791-2019-19-3-338-350 |
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Katalog-ID: |
DOAJ014435446 |
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10.18500/1816-9791-2019-19-3-338-350 doi (DE-627)DOAJ014435446 (DE-599)DOAJ726fa27c42ef4c8fb9a0bec49cce2051 DE-627 ger DE-627 rakwb eng rus QA1-939 Vladimir Aleksandrovich Tverdokhlebov verfasserin aut Classification and Recognition of Structures of Genetic Sequences 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier For solving problems of determining the relationships between the properties of organisms and the properties of the corresponding genetic sequences, we proposed a classification of genetic sequences based on numerical indicators of recurrent and Z-recurrent shapes, which define the structure of functional relationships of elements in sequences. For numerical indicators of recurrent and Z-recurrent shapes, we introduce a method of classification of genetic sequences. We compared a numerical characteristic that generalizes numerical values with a numerical characteristic of recurrent or Z-recurrent shapes which determine the structure of a sequence for each sequence of a biological rank considered in the recognition problem, which has a meaningful in-terpretation in the application area. The problem of recognition is considered from two points of view: when we determine belonging of a sequence to a specific rank of sequences, and when we determine which group of sequences contains the experimental sequence. Basic mathematical difficulties in solving these recognition problems are associated with the search difference in numerical representation of recurrent and Z-recurrent shapes of experimental sequences. To overcome these difficulties we created a spectrum of numerical indicators of recurrent and Z-recurrent shapes. Classification and recognition of sequences are illustrated by an example with three ranks of genetic codes of organisms, each of them represented by 5 sequences. Z-recurrent shape is introduced to define and extend the classification of sequences and increase the efficiency of recognition methods. sequence genetic sequence recurrent definition of a sequence Z-recursive definition of a sequence recurrent shape Z-recurrent shape classification of sequences recognition of sequences Mathematics Denis A. Kariakin verfasserin aut In Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика Saratov State University, 2019 19(2019), 3, Seite 338-350 (DE-627)1760618233 25419005 nnns volume:19 year:2019 number:3 pages:338-350 https://doi.org/10.18500/1816-9791-2019-19-3-338-350 kostenfrei https://doaj.org/article/726fa27c42ef4c8fb9a0bec49cce2051 kostenfrei https://mmi.sgu.ru/sites/mmi.sgu.ru/files/2019/08/338-350tverdokhlebov-kariakin.pdf kostenfrei https://doaj.org/toc/1816-9791 Journal toc kostenfrei https://doaj.org/toc/2541-9005 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ AR 19 2019 3 338-350 |
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In Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика 19(2019), 3, Seite 338-350 volume:19 year:2019 number:3 pages:338-350 |
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Classification and Recognition of Structures of Genetic Sequences |
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Classification and Recognition of Structures of Genetic Sequences |
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Vladimir Aleksandrovich Tverdokhlebov |
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Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика |
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Vladimir Aleksandrovich Tverdokhlebov Denis A. Kariakin |
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classification and recognition of structures of genetic sequences |
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Classification and Recognition of Structures of Genetic Sequences |
abstract |
For solving problems of determining the relationships between the properties of organisms and the properties of the corresponding genetic sequences, we proposed a classification of genetic sequences based on numerical indicators of recurrent and Z-recurrent shapes, which define the structure of functional relationships of elements in sequences. For numerical indicators of recurrent and Z-recurrent shapes, we introduce a method of classification of genetic sequences. We compared a numerical characteristic that generalizes numerical values with a numerical characteristic of recurrent or Z-recurrent shapes which determine the structure of a sequence for each sequence of a biological rank considered in the recognition problem, which has a meaningful in-terpretation in the application area. The problem of recognition is considered from two points of view: when we determine belonging of a sequence to a specific rank of sequences, and when we determine which group of sequences contains the experimental sequence. Basic mathematical difficulties in solving these recognition problems are associated with the search difference in numerical representation of recurrent and Z-recurrent shapes of experimental sequences. To overcome these difficulties we created a spectrum of numerical indicators of recurrent and Z-recurrent shapes. Classification and recognition of sequences are illustrated by an example with three ranks of genetic codes of organisms, each of them represented by 5 sequences. Z-recurrent shape is introduced to define and extend the classification of sequences and increase the efficiency of recognition methods. |
abstractGer |
For solving problems of determining the relationships between the properties of organisms and the properties of the corresponding genetic sequences, we proposed a classification of genetic sequences based on numerical indicators of recurrent and Z-recurrent shapes, which define the structure of functional relationships of elements in sequences. For numerical indicators of recurrent and Z-recurrent shapes, we introduce a method of classification of genetic sequences. We compared a numerical characteristic that generalizes numerical values with a numerical characteristic of recurrent or Z-recurrent shapes which determine the structure of a sequence for each sequence of a biological rank considered in the recognition problem, which has a meaningful in-terpretation in the application area. The problem of recognition is considered from two points of view: when we determine belonging of a sequence to a specific rank of sequences, and when we determine which group of sequences contains the experimental sequence. Basic mathematical difficulties in solving these recognition problems are associated with the search difference in numerical representation of recurrent and Z-recurrent shapes of experimental sequences. To overcome these difficulties we created a spectrum of numerical indicators of recurrent and Z-recurrent shapes. Classification and recognition of sequences are illustrated by an example with three ranks of genetic codes of organisms, each of them represented by 5 sequences. Z-recurrent shape is introduced to define and extend the classification of sequences and increase the efficiency of recognition methods. |
abstract_unstemmed |
For solving problems of determining the relationships between the properties of organisms and the properties of the corresponding genetic sequences, we proposed a classification of genetic sequences based on numerical indicators of recurrent and Z-recurrent shapes, which define the structure of functional relationships of elements in sequences. For numerical indicators of recurrent and Z-recurrent shapes, we introduce a method of classification of genetic sequences. We compared a numerical characteristic that generalizes numerical values with a numerical characteristic of recurrent or Z-recurrent shapes which determine the structure of a sequence for each sequence of a biological rank considered in the recognition problem, which has a meaningful in-terpretation in the application area. The problem of recognition is considered from two points of view: when we determine belonging of a sequence to a specific rank of sequences, and when we determine which group of sequences contains the experimental sequence. Basic mathematical difficulties in solving these recognition problems are associated with the search difference in numerical representation of recurrent and Z-recurrent shapes of experimental sequences. To overcome these difficulties we created a spectrum of numerical indicators of recurrent and Z-recurrent shapes. Classification and recognition of sequences are illustrated by an example with three ranks of genetic codes of organisms, each of them represented by 5 sequences. Z-recurrent shape is introduced to define and extend the classification of sequences and increase the efficiency of recognition methods. |
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