On models of the genetic code generated by binary dichotomic algorithms

In this paper we introduce the concept of a BDA-generated model of the genetic code which is based on binary dichotomic algorithms (BDAs). A BDA-generated model is based on binary dichotomic algorithms (BDAs). Such a BDA partitions the set of 64 codons into two disjoint classes of size 32 each and p...

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Published inBioSystems Vol. 128; pp. 9 - 18
Main Authors Gumbel, Markus, Fimmel, Elena, Danielli, Alberto, Strüngmann, Lutz
Format Journal Article
LanguageEnglish
Published Ireland Elsevier Ireland Ltd 01.02.2015
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Online AccessGet full text
ISSN0303-2647
1872-8324
1872-8324
DOI10.1016/j.biosystems.2014.12.001

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Abstract In this paper we introduce the concept of a BDA-generated model of the genetic code which is based on binary dichotomic algorithms (BDAs). A BDA-generated model is based on binary dichotomic algorithms (BDAs). Such a BDA partitions the set of 64 codons into two disjoint classes of size 32 each and provides a generalization of known partitions like the Rumer dichotomy. We investigate what partitions can be generated when a set of different BDAs is applied sequentially to the set of codons. The search revealed that these models are able to generate code tables with very different numbers of classes ranging from 2 to 64. We have analyzed whether there are models that map the codons to their amino acids. A perfect matching is not possible. However, we present models that describe the standard genetic code with only few errors. There are also models that map all 64 codons uniquely to 64 classes showing that BDAs can be used to identify codons precisely. This could serve as a basis for further mathematical analysis using coding theory, for example. The hypothesis that BDAs might reflect a molecular mechanism taking place in the decoding center of the ribosome is discussed. The scan demonstrated that binary dichotomic partitions are able to model different aspects of the genetic code very well. The search was performed with our tool Beady-A. This software is freely available at http://mi.informatik.hs-mannheim.de/beady-a. It requires a JVM version 6 or higher.
AbstractList In this paper we introduce the concept of a BDA-generated model of the genetic code which is based on binary dichotomic algorithms (BDAs). A BDA-generated model is based on binary dichotomic algorithms (BDAs). Such a BDA partitions the set of 64 codons into two disjoint classes of size 32 each and provides a generalization of known partitions like the Rumer dichotomy. We investigate what partitions can be generated when a set of different BDAs is applied sequentially to the set of codons. The search revealed that these models are able to generate code tables with very different numbers of classes ranging from 2 to 64. We have analyzed whether there are models that map the codons to their amino acids. A perfect matching is not possible. However, we present models that describe the standard genetic code with only few errors. There are also models that map all 64 codons uniquely to 64 classes showing that BDAs can be used to identify codons precisely. This could serve as a basis for further mathematical analysis using coding theory, for example. The hypothesis that BDAs might reflect a molecular mechanism taking place in the decoding center of the ribosome is discussed. The scan demonstrated that binary dichotomic partitions are able to model different aspects of the genetic code very well. The search was performed with our tool Beady-A. This software is freely available at http://mi.informatik.hs-mannheim.de/beady-a. It requires a JVM version 6 or higher.In this paper we introduce the concept of a BDA-generated model of the genetic code which is based on binary dichotomic algorithms (BDAs). A BDA-generated model is based on binary dichotomic algorithms (BDAs). Such a BDA partitions the set of 64 codons into two disjoint classes of size 32 each and provides a generalization of known partitions like the Rumer dichotomy. We investigate what partitions can be generated when a set of different BDAs is applied sequentially to the set of codons. The search revealed that these models are able to generate code tables with very different numbers of classes ranging from 2 to 64. We have analyzed whether there are models that map the codons to their amino acids. A perfect matching is not possible. However, we present models that describe the standard genetic code with only few errors. There are also models that map all 64 codons uniquely to 64 classes showing that BDAs can be used to identify codons precisely. This could serve as a basis for further mathematical analysis using coding theory, for example. The hypothesis that BDAs might reflect a molecular mechanism taking place in the decoding center of the ribosome is discussed. The scan demonstrated that binary dichotomic partitions are able to model different aspects of the genetic code very well. The search was performed with our tool Beady-A. This software is freely available at http://mi.informatik.hs-mannheim.de/beady-a. It requires a JVM version 6 or higher.
In this paper we introduce the concept of a BDA-generated model of the genetic code which is based on binary dichotomic algorithms (BDAs). A BDA-generated model is based on binary dichotomic algorithms (BDAs). Such a BDA partitions the set of 64 codons into two disjoint classes of size 32 each and provides a generalization of known partitions like the Rumer dichotomy. We investigate what partitions can be generated when a set of different BDAs is applied sequentially to the set of codons. The search revealed that these models are able to generate code tables with very different numbers of classes ranging from 2 to 64. We have analyzed whether there are models that map the codons to their amino acids. A perfect matching is not possible. However, we present models that describe the standard genetic code with only few errors. There are also models that map all 64 codons uniquely to 64 classes showing that BDAs can be used to identify codons precisely. This could serve as a basis for further mathematical analysis using coding theory, for example. The hypothesis that BDAs might reflect a molecular mechanism taking place in the decoding center of the ribosome is discussed. The scan demonstrated that binary dichotomic partitions are able to model different aspects of the genetic code very well. The search was performed with our tool Beady-A. This software is freely available at http://mi.informatik.hs-mannheim.de/beady-a. It requires a JVM version 6 or higher.
In this paper we introduce the concept of a BDA-generated model of the genetic code which is based on binary dichotomic algorithms (BDAs). A BDA-generated model is based on binary dichotomic algorithms (BDAs). Such a BDA partitions the set of 64 codons into two disjoint classes of size 32 each and provides a generalization of known partitions like the Rumer dichotomy. We investigate what partitions can be generated when a set of different BDAs is applied sequentially to the set of codons. The search revealed that these models are able to generate code tables with very different numbers of classes ranging from 2 to 64. We have analyzed whether there are models that map the codons to their amino acids. A perfect matching is not possible. However, we present models that describe the standard genetic code with only few errors. There are also models that map all 64 codons uniquely to 64 classes showing that BDAs can be used to identify codons precisely. This could serve as a basis for further mathematical analysis using coding theory, for example. The hypothesis that BDAs might reflect a molecular mechanism taking place in the decoding center of the ribosome is discussed. The scan demonstrated that binary dichotomic partitions are able to model different aspects of the genetic code very well. The search was performed with our tool Beady-A. This software is freely available at http://mi.informatik.hs-mannheim.de/beady-a. It requires a JVM version 6 or higher.
Author Gumbel, Markus
Danielli, Alberto
Fimmel, Elena
Strüngmann, Lutz
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Cites_doi 10.1016/j.febslet.2013.05.009
10.1016/j.biosystems.2012.03.001
10.1016/j.jtbi.2014.08.036
10.1093/bioinformatics/btn397
10.1038/nsmb.2545
10.1016/j.jtbi.2013.07.027
10.1186/1745-6150-3-37
10.1016/S1097-2765(04)00005-X
10.1073/pnas.43.5.416
10.1016/0022-2836(68)90392-6
10.1006/jtbi.1996.0142
10.1038/nature08403
10.1002/iub.146
10.1007/BF02103132
10.1016/S0092-8674(02)01086-3
10.1016/j.jtbi.2007.07.007
10.1038/nature10913
10.1023/A:1025771327614
10.1103/PhysRevE.78.051918
10.1126/science.1060612
10.1016/j.biosystems.2014.09.012
10.1016/0305-0491(93)90122-L
10.1128/MMBR.00010-08
10.1128/MMBR.56.1.229-264.1992
10.1016/j.compbiolchem.2011.10.002
10.1016/j.jmb.2006.11.046
10.1098/rsta.2011.0387
10.1261/rna.1745910
10.1073/pnas.72.5.1909
10.1038/173318a0
10.1007/s00239-004-0176-7
10.1016/j.compbiolchem.2014.08.001
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Keywords Genetic code
Dichotomic partition
Ribosome
Scan algorithm
Rumer
Language English
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References Seligmann (bib0150) Nov 2007; 249
Koonin, Novozhilov (bib0105) 2009; 61
Haig, Hurst (bib0085) 1991; 33
Seligmann (bib0090) Aug 2014; 363C
Demeshkina, Jenner, Westhof, Yusupov, Yusupova (bib0035) 2013; 587
Masliah, Barraud, Allain (bib0110) 2013; 70
Voorhees, Mandal, Neubauer, Köhrer, RajBhandary, Ramakrishnan (bib0175) 2013; 20
Wong (bib0180) 1975; 72
Crick, Griffith, Orgel (bib0020) 1957; 43
Gonzalez, Giannerini, Rosa (bib0065) Nov 2008; 78
Sella, Ardell (bib0160) 2006; 63
Shaul, Berel, Benjamini, Graur (bib0165) 2010; 16
Fimmel, Danielli, Strüngmann (bib0040) 2013; 336
El Soufi, Michel (bib0170) Oct 2014; 52
Jukes, Osawa (bib0100) 1993; 106
Gamow (bib0050) 1954; 173
Arquès, Michel (bib0010) 1996; 182
Di Giulio (bib0060) 2008; 3
Demeshkina, Jenner, Westhof, Yusupov, Yusupova (bib0030) 2012; 484
Seligmann (bib0155) Oct 2014; 125C
Gonzalez (bib0070) 2008
Rumer (bib0140) 1966; 167
Ogle, Murphy, Tarry, Ramakrishnan (bib0130) 2002; 111
Atkins (bib0015) 2009; 73
Michel (bib0115) Apr 2012; 37
Freeland, Wu, Keulmann (bib0045) Oct 2003; 33
Holland, Down, Pocock, Prlic, Ardelluen, James, Foisy, Dräger, Yates, Heuer, Schreiber (bib0095) Sep 2008; 24
Odersky, Spoon, Venners (bib0120) 2010
Agris, Vendeix, Graham (bib0005) 2007; 366
Osawa, Jukes, Watanabe, Muto (bib0135) 1992; 56
Crick (bib0025) 1968; 38
Ogle, Brodersen, Clemons, Tarry, Carter, Ramakrishnan (bib0125) 2001; 292
Guilloux, Jestin (bib0080) 2012; 109
Gromadski, Rodnina (bib0075) 2004; 13
Schmeing, Ramakrishnan (bib0145) 2009; 461
Giannerini, Gonzalez, Rosa (bib0055) Jun 2012; 370
Seligmann (10.1016/j.biosystems.2014.12.001_bib0090) 2014; 363C
Atkins (10.1016/j.biosystems.2014.12.001_bib0015) 2009; 73
Wong (10.1016/j.biosystems.2014.12.001_bib0180) 1975; 72
Demeshkina (10.1016/j.biosystems.2014.12.001_bib0030) 2012; 484
Sella (10.1016/j.biosystems.2014.12.001_bib0160) 2006; 63
Holland (10.1016/j.biosystems.2014.12.001_bib0095) 2008; 24
Osawa (10.1016/j.biosystems.2014.12.001_bib0135) 1992; 56
Voorhees (10.1016/j.biosystems.2014.12.001_bib0175) 2013; 20
Haig (10.1016/j.biosystems.2014.12.001_bib0085) 1991; 33
Masliah (10.1016/j.biosystems.2014.12.001_bib0110) 2013; 70
Guilloux (10.1016/j.biosystems.2014.12.001_bib0080) 2012; 109
Agris (10.1016/j.biosystems.2014.12.001_bib0005) 2007; 366
Freeland (10.1016/j.biosystems.2014.12.001_bib0045) 2003; 33
Seligmann (10.1016/j.biosystems.2014.12.001_bib0155) 2014; 125C
Demeshkina (10.1016/j.biosystems.2014.12.001_bib0035) 2013; 587
Michel (10.1016/j.biosystems.2014.12.001_bib0115) 2012; 37
Fimmel (10.1016/j.biosystems.2014.12.001_bib0040) 2013; 336
Ogle (10.1016/j.biosystems.2014.12.001_bib0125) 2001; 292
Giannerini (10.1016/j.biosystems.2014.12.001_bib0055) 2012; 370
Rumer (10.1016/j.biosystems.2014.12.001_bib0140) 1966; 167
Arquès (10.1016/j.biosystems.2014.12.001_bib0010) 1996; 182
El Soufi (10.1016/j.biosystems.2014.12.001_bib0170) 2014; 52
Crick (10.1016/j.biosystems.2014.12.001_bib0020) 1957; 43
Di Giulio (10.1016/j.biosystems.2014.12.001_bib0060) 2008; 3
Ogle (10.1016/j.biosystems.2014.12.001_bib0130) 2002; 111
Shaul (10.1016/j.biosystems.2014.12.001_bib0165) 2010; 16
Gamow (10.1016/j.biosystems.2014.12.001_bib0050) 1954; 173
Schmeing (10.1016/j.biosystems.2014.12.001_bib0145) 2009; 461
Gonzalez (10.1016/j.biosystems.2014.12.001_bib0070) 2008
Koonin (10.1016/j.biosystems.2014.12.001_bib0105) 2009; 61
Seligmann (10.1016/j.biosystems.2014.12.001_bib0150) 2007; 249
Crick (10.1016/j.biosystems.2014.12.001_bib0025) 1968; 38
Gonzalez (10.1016/j.biosystems.2014.12.001_bib0065) 2008; 78
Odersky (10.1016/j.biosystems.2014.12.001_bib0120) 2010
Gromadski (10.1016/j.biosystems.2014.12.001_bib0075) 2004; 13
Jukes (10.1016/j.biosystems.2014.12.001_bib0100) 1993; 106
References_xml – volume: 363C
  start-page: 216
  year: Aug 2014
  end-page: 222
  ident: bib0090
  article-title: Species radiation by DNA replication that systematically exchanges nucleotides?
  publication-title: J. Theor. Biol.
– volume: 587
  start-page: 1848
  year: 2013
  end-page: 1857
  ident: bib0035
  article-title: New structural insights into the decoding mechanism: translation in-delity via a G–U pair with Watson-Crick geometry
  publication-title: FEBS Lett.
– year: 2010
  ident: bib0120
  article-title: Programming in Scala
– volume: 16
  start-page: 141
  year: 2010
  end-page: 153
  ident: bib0165
  article-title: Revisiting the operational RNA code for amino acids: ensemble attributes and their implications
  publication-title: RNA
– volume: 109
  start-page: 141
  year: 2012
  end-page: 144
  ident: bib0080
  article-title: The genetic code and its optimization for kinetic energy conservation in polypeptide chains
  publication-title: Biosystems
– volume: 167
  start-page: 1393
  year: 1966
  end-page: 1394
  ident: bib0140
  article-title: Codon systematization in the genetic code
  publication-title: Dokl. Akad. Nauk. SSSR
– volume: 33
  start-page: 457
  year: Oct 2003
  end-page: 477
  ident: bib0045
  article-title: The case for an error minimizing standard genetic code
  publication-title: Orig. Life Evol. Biosph.
– volume: 182
  start-page: 45
  year: 1996
  end-page: 58
  ident: bib0010
  article-title: A complementary circular code in the protein coding genes
  publication-title: J. Theor. Biol.
– volume: 3
  start-page: 37
  year: 2008
  ident: bib0060
  article-title: An extension of the coevolution theory of the origin of the genetic code
  publication-title: Biol. Direct
– volume: 461
  start-page: 1234
  year: 2009
  end-page: 1242
  ident: bib0145
  article-title: What recent ribosome structures have revealed about the mechanism of translation
  publication-title: Nature
– volume: 249
  start-page: 162
  year: Nov 2007
  end-page: 167
  ident: bib0150
  article-title: Cost minimization of ribosomal frameshifts
  publication-title: J. Theor. Biol.
– volume: 78
  start-page: 051918
  year: Nov 2008
  ident: bib0065
  article-title: Strong short-range correlations and dichotomic codon classes in coding DNA sequences
  publication-title: Phys. Rev. E: Stat. Nonlin. Soft Matter Phys.
– volume: 13
  start-page: 191
  year: 2004
  end-page: 200
  ident: bib0075
  article-title: Kinetic determinants of high-fidelity tRNA discrimination on the ribosome
  publication-title: Mol. Cell
– volume: 292
  start-page: 897
  year: 2001
  end-page: 902
  ident: bib0125
  article-title: Recognition of cognate transfer RNA by the 30s ribosomal subunit
  publication-title: Science
– year: 2008
  ident: bib0070
  article-title: The mathematical structure of the genetic code
  publication-title: Codes of Life: The Rules of Microevolution
– volume: 38
  start-page: 367
  year: 1968
  end-page: 379
  ident: bib0025
  article-title: The origin of the genetic code
  publication-title: J. Mol. Biol.
– volume: 370
  start-page: 2987
  year: Jun 2012
  end-page: 3006
  ident: bib0055
  article-title: DNA, dichotomic classes and frame synchronization: a quasi-crystal framework
  publication-title: Philos. Trans. A: Math. Phys. Eng. Sci.
– volume: 37
  start-page: 24
  year: Apr 2012
  end-page: 37
  ident: bib0115
  article-title: Circular code motifs in transfer and 16s ribosomal RNAs: a possible translation code in genes
  publication-title: Comput. Biol. Chem.
– volume: 73
  start-page: 178
  year: 2009
  end-page: 210
  ident: bib0015
  article-title: A gripping tale of ribosomal frameshifting: extragenic suppressors of frameshift mutations spotlight p-site realignment
  publication-title: Microbiol. Mol. Biol. Rev.
– volume: 336
  start-page: 221
  year: 2013
  end-page: 230
  ident: bib0040
  article-title: On dichotomic classes and bijections of the genetic code
  publication-title: J. Theor. Biol.
– volume: 56
  start-page: 229
  year: 1992
  end-page: 264
  ident: bib0135
  article-title: Recent evidence for evolution of the genetic code
  publication-title: Microbiol. Rev.
– volume: 43
  start-page: 416
  year: 1957
  end-page: 421
  ident: bib0020
  article-title: Codes without commas
  publication-title: Proc. Natl. Acad. Sci. U. S. A.
– volume: 61
  start-page: 99
  year: 2009
  end-page: 111
  ident: bib0105
  article-title: Origin and evolution of the genetic code: the universal enigma
  publication-title: IUBMB Life
– volume: 72
  start-page: 1909
  year: 1975
  end-page: 1912
  ident: bib0180
  article-title: A co-evolution theory of the genetic code
  publication-title: Proc. Natl. Acad. Sci. U. S. A.
– volume: 111
  start-page: 721
  year: 2002
  end-page: 732
  ident: bib0130
  article-title: Selection of tRNA by the ribosome requires a transition from an open to a closed form
  publication-title: Cell
– volume: 366
  start-page: 1
  year: 2007
  end-page: 13
  ident: bib0005
  article-title: tRNA's wobble decoding of the genome: 40 years of modification
  publication-title: J. Mol. Biol.
– volume: 20
  start-page: 641
  year: 2013
  end-page: 643
  ident: bib0175
  article-title: The structural basis for specific decoding of AUA by isoleucine tRNA on the ribosome
  publication-title: Nat. Struct. Mol. Biol.
– volume: 173
  start-page: 318
  year: 1954
  ident: bib0050
  article-title: Possible relation between deoxyribonucleic acid and protein structures
  publication-title: Nature
– volume: 33
  start-page: 412
  year: 1991
  end-page: 417
  ident: bib0085
  article-title: A quantitative measure of error minimization in the genetic code
  publication-title: J. Mol. Evol.
– volume: 70
  start-page: 1875
  year: 2013
  end-page: 1895
  ident: bib0110
  article-title: RNA recognition by double-stranded RNA binding domains: a matter of shape and sequence
  publication-title: Cell. Mol. Life Sci.
– volume: 484
  start-page: 256
  year: 2012
  end-page: 259
  ident: bib0030
  article-title: A new understanding of the decoding principle on the ribosome
  publication-title: Nature
– volume: 52
  start-page: 9
  year: Oct 2014
  end-page: 17
  ident: bib0170
  article-title: Circular code motifs in the ribosome decoding center
  publication-title: Comput. Biol. Chem.
– volume: 106
  start-page: 489
  year: 1993
  end-page: 494
  ident: bib0100
  article-title: Evolutionary changes in the genetic code
  publication-title: Comp. Biochem. Physiol. B
– volume: 125C
  start-page: 22
  year: Oct 2014
  end-page: 31
  ident: bib0155
  article-title: Mitochondrial swinger replication: DNA replication systematically exchanging nucleotides and short 16s ribosomal DNA swinger inserts
  publication-title: Biosystems
– volume: 63
  start-page: 297
  year: 2006
  end-page: 313
  ident: bib0160
  article-title: The coevolution of genes and genetic codes: Crick's frozen accident revisited
  publication-title: J. Mol. Evol.
– volume: 24
  start-page: 2096
  year: Sep 2008
  end-page: 2097
  ident: bib0095
  article-title: BioJava: an open-source framework for bioinformatics
  publication-title: Bioinformatics
– volume: 587
  start-page: 1848
  issue: 13
  year: 2013
  ident: 10.1016/j.biosystems.2014.12.001_bib0035
  article-title: New structural insights into the decoding mechanism: translation in-delity via a G–U pair with Watson-Crick geometry
  publication-title: FEBS Lett.
  doi: 10.1016/j.febslet.2013.05.009
– volume: 109
  start-page: 141
  issue: 2
  year: 2012
  ident: 10.1016/j.biosystems.2014.12.001_bib0080
  article-title: The genetic code and its optimization for kinetic energy conservation in polypeptide chains
  publication-title: Biosystems
  doi: 10.1016/j.biosystems.2012.03.001
– volume: 363C
  start-page: 216
  year: 2014
  ident: 10.1016/j.biosystems.2014.12.001_bib0090
  article-title: Species radiation by DNA replication that systematically exchanges nucleotides?
  publication-title: J. Theor. Biol.
  doi: 10.1016/j.jtbi.2014.08.036
– volume: 24
  start-page: 2096
  issue: 18
  year: 2008
  ident: 10.1016/j.biosystems.2014.12.001_bib0095
  article-title: BioJava: an open-source framework for bioinformatics
  publication-title: Bioinformatics
  doi: 10.1093/bioinformatics/btn397
– volume: 20
  start-page: 641
  issue: 5
  year: 2013
  ident: 10.1016/j.biosystems.2014.12.001_bib0175
  article-title: The structural basis for specific decoding of AUA by isoleucine tRNA on the ribosome
  publication-title: Nat. Struct. Mol. Biol.
  doi: 10.1038/nsmb.2545
– volume: 336
  start-page: 221
  issue: 0
  year: 2013
  ident: 10.1016/j.biosystems.2014.12.001_bib0040
  article-title: On dichotomic classes and bijections of the genetic code
  publication-title: J. Theor. Biol.
  doi: 10.1016/j.jtbi.2013.07.027
– volume: 3
  start-page: 37
  year: 2008
  ident: 10.1016/j.biosystems.2014.12.001_bib0060
  article-title: An extension of the coevolution theory of the origin of the genetic code
  publication-title: Biol. Direct
  doi: 10.1186/1745-6150-3-37
– volume: 13
  start-page: 191
  issue: 2
  year: 2004
  ident: 10.1016/j.biosystems.2014.12.001_bib0075
  article-title: Kinetic determinants of high-fidelity tRNA discrimination on the ribosome
  publication-title: Mol. Cell
  doi: 10.1016/S1097-2765(04)00005-X
– year: 2008
  ident: 10.1016/j.biosystems.2014.12.001_bib0070
  article-title: The mathematical structure of the genetic code
– volume: 43
  start-page: 416
  issue: 5
  year: 1957
  ident: 10.1016/j.biosystems.2014.12.001_bib0020
  article-title: Codes without commas
  publication-title: Proc. Natl. Acad. Sci. U. S. A.
  doi: 10.1073/pnas.43.5.416
– volume: 38
  start-page: 367
  issue: 3
  year: 1968
  ident: 10.1016/j.biosystems.2014.12.001_bib0025
  article-title: The origin of the genetic code
  publication-title: J. Mol. Biol.
  doi: 10.1016/0022-2836(68)90392-6
– volume: 182
  start-page: 45
  issue: 1
  year: 1996
  ident: 10.1016/j.biosystems.2014.12.001_bib0010
  article-title: A complementary circular code in the protein coding genes
  publication-title: J. Theor. Biol.
  doi: 10.1006/jtbi.1996.0142
– volume: 461
  start-page: 1234
  issue: 7268
  year: 2009
  ident: 10.1016/j.biosystems.2014.12.001_bib0145
  article-title: What recent ribosome structures have revealed about the mechanism of translation
  publication-title: Nature
  doi: 10.1038/nature08403
– volume: 61
  start-page: 99
  issue: 2
  year: 2009
  ident: 10.1016/j.biosystems.2014.12.001_bib0105
  article-title: Origin and evolution of the genetic code: the universal enigma
  publication-title: IUBMB Life
  doi: 10.1002/iub.146
– volume: 33
  start-page: 412
  issue: 5
  year: 1991
  ident: 10.1016/j.biosystems.2014.12.001_bib0085
  article-title: A quantitative measure of error minimization in the genetic code
  publication-title: J. Mol. Evol.
  doi: 10.1007/BF02103132
– volume: 111
  start-page: 721
  issue: 5
  year: 2002
  ident: 10.1016/j.biosystems.2014.12.001_bib0130
  article-title: Selection of tRNA by the ribosome requires a transition from an open to a closed form
  publication-title: Cell
  doi: 10.1016/S0092-8674(02)01086-3
– volume: 249
  start-page: 162
  issue: 1
  year: 2007
  ident: 10.1016/j.biosystems.2014.12.001_bib0150
  article-title: Cost minimization of ribosomal frameshifts
  publication-title: J. Theor. Biol.
  doi: 10.1016/j.jtbi.2007.07.007
– volume: 484
  start-page: 256
  issue: 7393
  year: 2012
  ident: 10.1016/j.biosystems.2014.12.001_bib0030
  article-title: A new understanding of the decoding principle on the ribosome
  publication-title: Nature
  doi: 10.1038/nature10913
– volume: 33
  start-page: 457
  issue: 4-5
  year: 2003
  ident: 10.1016/j.biosystems.2014.12.001_bib0045
  article-title: The case for an error minimizing standard genetic code
  publication-title: Orig. Life Evol. Biosph.
  doi: 10.1023/A:1025771327614
– volume: 78
  start-page: 051918
  issue: 5 Pt 1
  year: 2008
  ident: 10.1016/j.biosystems.2014.12.001_bib0065
  article-title: Strong short-range correlations and dichotomic codon classes in coding DNA sequences
  publication-title: Phys. Rev. E: Stat. Nonlin. Soft Matter Phys.
  doi: 10.1103/PhysRevE.78.051918
– volume: 292
  start-page: 897
  issue: 5518
  year: 2001
  ident: 10.1016/j.biosystems.2014.12.001_bib0125
  article-title: Recognition of cognate transfer RNA by the 30s ribosomal subunit
  publication-title: Science
  doi: 10.1126/science.1060612
– volume: 125C
  start-page: 22
  year: 2014
  ident: 10.1016/j.biosystems.2014.12.001_bib0155
  article-title: Mitochondrial swinger replication: DNA replication systematically exchanging nucleotides and short 16s ribosomal DNA swinger inserts
  publication-title: Biosystems
  doi: 10.1016/j.biosystems.2014.09.012
– volume: 106
  start-page: 489
  issue: 3
  year: 1993
  ident: 10.1016/j.biosystems.2014.12.001_bib0100
  article-title: Evolutionary changes in the genetic code
  publication-title: Comp. Biochem. Physiol. B
  doi: 10.1016/0305-0491(93)90122-L
– volume: 73
  start-page: 178
  issue: 1
  year: 2009
  ident: 10.1016/j.biosystems.2014.12.001_bib0015
  article-title: A gripping tale of ribosomal frameshifting: extragenic suppressors of frameshift mutations spotlight p-site realignment
  publication-title: Microbiol. Mol. Biol. Rev.
  doi: 10.1128/MMBR.00010-08
– volume: 70
  start-page: 1875
  issue: 11
  year: 2013
  ident: 10.1016/j.biosystems.2014.12.001_bib0110
  article-title: RNA recognition by double-stranded RNA binding domains: a matter of shape and sequence
  publication-title: Cell. Mol. Life Sci.
– volume: 56
  start-page: 229
  issue: 1
  year: 1992
  ident: 10.1016/j.biosystems.2014.12.001_bib0135
  article-title: Recent evidence for evolution of the genetic code
  publication-title: Microbiol. Rev.
  doi: 10.1128/MMBR.56.1.229-264.1992
– volume: 37
  start-page: 24
  year: 2012
  ident: 10.1016/j.biosystems.2014.12.001_bib0115
  article-title: Circular code motifs in transfer and 16s ribosomal RNAs: a possible translation code in genes
  publication-title: Comput. Biol. Chem.
  doi: 10.1016/j.compbiolchem.2011.10.002
– year: 2010
  ident: 10.1016/j.biosystems.2014.12.001_bib0120
– volume: 366
  start-page: 1
  issue: 1
  year: 2007
  ident: 10.1016/j.biosystems.2014.12.001_bib0005
  article-title: tRNA's wobble decoding of the genome: 40 years of modification
  publication-title: J. Mol. Biol.
  doi: 10.1016/j.jmb.2006.11.046
– volume: 370
  start-page: 2987
  issue: 1969
  year: 2012
  ident: 10.1016/j.biosystems.2014.12.001_bib0055
  article-title: DNA, dichotomic classes and frame synchronization: a quasi-crystal framework
  publication-title: Philos. Trans. A: Math. Phys. Eng. Sci.
  doi: 10.1098/rsta.2011.0387
– volume: 16
  start-page: 141
  issue: 1
  year: 2010
  ident: 10.1016/j.biosystems.2014.12.001_bib0165
  article-title: Revisiting the operational RNA code for amino acids: ensemble attributes and their implications
  publication-title: RNA
  doi: 10.1261/rna.1745910
– volume: 72
  start-page: 1909
  issue: 5
  year: 1975
  ident: 10.1016/j.biosystems.2014.12.001_bib0180
  article-title: A co-evolution theory of the genetic code
  publication-title: Proc. Natl. Acad. Sci. U. S. A.
  doi: 10.1073/pnas.72.5.1909
– volume: 173
  start-page: 318
  year: 1954
  ident: 10.1016/j.biosystems.2014.12.001_bib0050
  article-title: Possible relation between deoxyribonucleic acid and protein structures
  publication-title: Nature
  doi: 10.1038/173318a0
– volume: 63
  start-page: 297
  issue: 3
  year: 2006
  ident: 10.1016/j.biosystems.2014.12.001_bib0160
  article-title: The coevolution of genes and genetic codes: Crick's frozen accident revisited
  publication-title: J. Mol. Evol.
  doi: 10.1007/s00239-004-0176-7
– volume: 52
  start-page: 9
  year: 2014
  ident: 10.1016/j.biosystems.2014.12.001_bib0170
  article-title: Circular code motifs in the ribosome decoding center
  publication-title: Comput. Biol. Chem.
  doi: 10.1016/j.compbiolchem.2014.08.001
– volume: 167
  start-page: 1393
  issue: 6
  year: 1966
  ident: 10.1016/j.biosystems.2014.12.001_bib0140
  article-title: Codon systematization in the genetic code
  publication-title: Dokl. Akad. Nauk. SSSR
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Snippet In this paper we introduce the concept of a BDA-generated model of the genetic code which is based on binary dichotomic algorithms (BDAs). A BDA-generated...
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SubjectTerms Algorithms
Computational Biology - methods
Dichotomic partition
Genetic code
Genetic Code - genetics
Models, Genetic
Ribosome
Rumer
Scan algorithm
Software
Title On models of the genetic code generated by binary dichotomic algorithms
URI https://dx.doi.org/10.1016/j.biosystems.2014.12.001
https://www.ncbi.nlm.nih.gov/pubmed/25530514
https://www.proquest.com/docview/1660414358
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