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Homepage of Christian Michel THEORETICAL
BIOINFORMATICS Responsable Prof. Christian MICHEL
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Bioinformatique Théorique CSTB, ICube Université de Strasbourg, CNRS 300 Boulevard Sébastien Brant 67400 Illkirch, France Site: https://dpt-info.di.unistra.fr/~c.michel/ Site équipe: http://icube-cstb.unistra.fr/fr/index.php/Accueil |
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THEORETICAL BIOINFORMATICS
RESEARCH CIRCULAR CODE AND GENETIC CODE |
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CURRENT INTERNATIONAL
COLLABORATIONS Prof.
Elena Fimmel, Hochschule
Mannheim, Institut für Angewandte Mathematik,
Mannheim, Allemagne Prof. Lutz
Strüngmann, Hochschule
Mannheim, Institut für Angewandte Mathematik,
Mannheim, Allemagne THEORETICAL
BIOINFORMATICS RESEARCH The
objectives of the Theoretical Bioinformatics group are
placed on the level of fundamental and theoretical knowledge with the
identification of rules and properties in genes (more than 200 theorems,
lemmas, propositions). Review: Article A38 Identification of statistical signals in genes: Articles
[A1,3-8,11,14,16] Identification of circular codes in genes: Articles
[A19,21,22,30,33,61,67,74,83,85,89] Identification of circular code motifs: Articles
[A53,59,65,72,73,77,79,80,82,84,87,88] Properties of circular codes in genes: Articles
[A36,41,46,49,63,64,66,92] Combinatorics of circular codes: Articles
[A27,39,40,47,50,52,54,55,57,58,60,70,71,75,76,78,81,86,
90,91,93] Computer models of gene evolution: Articles
[A8-10,12,20] Probabilistic models of gene evolution by substitution: Articles
[A13,15,17,23,24,31,32,34,35,37,42, 43,45,51] Probabilistic models of gene evolution by substitution, insertion and deletion: Articles [A48,56,62,
65,68] Phylogenetic distances and inference
methods: Articles [A35,37,44] Research software in bioinformatics: Articles
[A9,28,45,65,68] CIRCULAR
CODE AND GENETIC CODE
Figure
1. Main research fields of the theory of circular code in genes. The circular code theory proposes that a circular code has preceded
the genetic code. The circular code X identified in genes of bacteria, archaea,
eukaryotes, plasmids and viruses (Michel, 2017, Life 7, 20, 1-16, doi:10.3390/life7020020;
Michel, 2015, J. Theor. Biol. 380, 156-177,
doi:10.1016/j.jtbi.2015.04.009; Arquès and Michel, 1996, J. Theor. Biol. 182,
45-58, doi:10.1006/jtbi.1996.0142) is based on the 20 following
trinucleotides:
Precisely, X is a maximal
C3 self-complementary trinucleotide circular code and has
three major properties: (i) to retrieve, maintain and synchronize the reading (correct) frame
at any position in a gene; (ii) to code 12 amino acids (according to the standard amino acid
code):
(iii) to generate X circular
code motifs in genes (Michel, Nguefack Ngoune, Poch, Ripp
and Thompson, 2017, Life 7, 52, 1-20,
doi:10.3390/life7040052) which can pair with the X circular
code motifs in tRNAs and rRNAs, in particular in the ribosome decoding center
(Michel, 2012, Comput. Biol. Chem. 37, 24-37,
doi:10.1016/j.compbiolchem.2011.10.002; El Soufi and Michel, 2014, Comput.
Biol. Chem. 52, 9-17, doi:10.1016/j.compbiolchem.2014.08.001). The
universally conserved nucleotides A1492 and A1493 and the conserved nucleotide
G530 are included in X circular code motifs. Reviews
in english [PDF] and [PDF] Review
in french [PDF] Fimmel
et Strüngmann, review article in Biosystems
(2018, vol. 164, 186-198):
MOTIFS OF THE CIRCULAR CODE X (X MOTIFS) IN THE RIBOSOME
DECODING CENTER
Motifs
of the circular code X in the ribosome decoding
center: X motifs of mRNA in green, X motif containing the
universally conserved A1492 and A1492 of rRNA in purple, X motif
containing the universally converved G530 of rRNA in fuchsia and X
motifs of tRNAs in dark blue (anticodon in black) (Michel, 2012;
El Soufi and Michel, 2014). Graphical representation here with the 16s rRNA
of Thermus thermophilus (PDB 3I8G). Models
of gene evolution by substitution of genetic motifs (Benard, Michel) [PDF] Models
of gene evolution by substitution, insertion and deletion of nucleotides
(Lèbre, Michel) [PDF] Models
of gene evolution by substitution, insertion and deletion of genetic motifs (Benard, Lèbre, Michel) [PDF] GETEC (Genome
Evolution by Transformation, Expansion and Contraction) (Benard E., Lèbre S.,
Michel C.J., 2015; [PDF]) to determine
evolutionary analytical solutions of genetic motifs based on substitution,
insertion and deletion as a function of time or sequence length, as well as
in direct time direction (past-present) or in inverse time direction (present-past) THEORETICAL
BIOINFORMATICS ARTICLES IN INTERNATIONAL JOURNALS 2023 [A94] Fimmel
E., Michel C.J., Strüngmann
L. 2023. Circular mixed sets. Biosystems 229,
104906, 1-11. [PDF] [A93] Fimmel
E., Michel C.J., Pirot F., Sereni J.-S., Strüngmann
L. 2023. Diletter and triletter comma-free codes over finite alphabets. The
Australasian Journal of Combinatorics 86(2),
233-270. [PDF] [A92] Michel C.J., Sereni J.-S.
2023. Reading frame retrieval of
genes: a new parameter of codon usage based on the circular code theory. Bulletin
of Mathematical Biology 85:24, 1-21. [PDF] 2022 [A91] Michel C.J., Sereni J.-S.
2022. Trinucleotide k-circular
codes II: Biology. Biosystems 217,
104668, 1-18. [PDF]. [A90] Michel C.J., Mouillon B., Sereni J.-S.
2022. Trinucleotide k-circular
codes I: Theory. Biosystems 217,
104667, 1-11. [PDF]. 2021 [A89] Michel C.J. 2021. Genes on the circular code
alphabet. Biosystems
206, 104431, 1-12. [PDF]. [A88] Thompson J.D., Ripp R., Mayer C., Poch
O., Michel C.J. 2021. Potential role
of the X circular code in the
regulation of gene expression. Biosystems
203, 104368, 1-15. [PDF]. 2020 [A87] Michel C.J., Mayer C., Poch
O., Thompson J.D. 2020. Characterization of accessory genes in coronavirus
genomes. Virology Journal 17:131, 1-13.
[PDF]. [A86] Fimmel
E., Michel C.J., Pirot F., Sereni J.-S., Starman
M., Strüngmann L. 2020. The relation between k-circularity and circularity of codes. Bulletin
of Mathematical Biology 82:105, 1-34. [PDF] [A85] Michel C.J. 2020. The maximality of circular codes in genes
statistically verified. Biosystems
197, 104201, 1-7. [PDF] [A84] Dila
G., Michel C.J., Thompson J.D. 2020. Optimality of
circular codes versus the genetic code after frameshift errors. Biosystems 195, 104134,
1-11. [PDF] [A83] Michel C.J., Thompson J.D. 2020. Identification of a circular code
periodicity in the bacterial ribosome: origin of codon periodicity in genes? RNA
Biology 17, 571-583. [PDF] 2019 [A82] Dila
G., Ripp R., Mayer
C., Poch O., Michel C.J.,
Thompson J.D. 2019. Circular code motifs in the ribosome: a missing link
in the evolution of translation? RNA
25, 1714-1730. [PDF] [PDF Suppl. Mat.] [A81] Fimmel E., Michel C.J.,
Pirot
F., Sereni
J.-S., Strüngmann
L. 2019. Mixed circular codes. Mathematical
Biosciences 317, 108231, 1-14. [PDF] [A80] Michel C.J. 2019. Single-frame, multiple-frame and framing
motifs in genes. Life 9, 18, 1-22. [PDF] [A79] Dila
G., Michel C.J., Poch O., Ripp R., Thompson J.D. 2019. Evolutionary
conservation and functional implications of circular code motifs in
eukaryotic genomes. Biosystems 175, 57-74. [PDF] 2018 [A78] Fimmel E., Michel C.J., Starman M., Strüngmann
L. 2018. Self-complementary circular
codes in coding theory. Theory in
Biosciences 137, 51-65. [PDF] 2017 [A77] Michel C.J., Nguefack Ngoune V., Poch O., Ripp
R., Thompson J.D. 2017. Enrichment of circular code motifs in the genes of
the yeast Saccharomyces cerevisiae.
Life 7, 52, 1-20. [PDF] [A76] Fimmel E., Michel C.J., Strüngmann L. 2017. Diletter circular codes over finite
alphabets. Mathematical Biosciences 294, 120-129. [PDF] [A75] Fimmel E., Michel C.J., Strüngmann L. 2017. Strong comma-free codes in genetic
information. Bulletin of Mathematical Biology 79,
1796-1819. [PDF] [A74] Michel C.J. 2017. The maximal C3
self-complementary trinucleotide circular code X in genes of bacteria,
archaea, eukaryotes, plasmids and viruses. Life 7, 20, 1-16. [PDF] [A73] El Soufi K., Michel C.J. 2017. Unitary
circular code motifs in genomes of eukaryotes. Biosystems 153, 45-62.
[PDF] 2016 [A72] El Soufi K., Michel C.J. 2016. Circular
code motifs in genomes of eukaryotes. Journal of Theoretical Biology
408, 198-212. [PDF] [A71] Fimmel E., Michel C.J., Strüngmann L. 2016. n-Nucleotide circular codes in graph theory. Philosophical
Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374,
20150058, 1-19. [PDF] [A70] Michel C.J., Pellegrini M., Pirillo G.
2016. Maximal dinucleotide and trinucleotide circular
codes. Journal of Theoretical Biology 389, 40-46. [PDF] 2015 [A69] El Soufi K., Michel C.J. 2015. Circular
code motifs near the ribosome decoding center. Computational
Biology and Chemistry 59, 158-176. [PDF] [A68] Benard
E., Lèbre S., Michel C.J.
2015. Genome evolution by transformation, expansion and
contraction GETEC. Biosystems 135,
15-34. [PDF] [A67] Michel C.J. 2015. The maximal C3
self-complementary trinucleotide circular code X in genes of bacteria,
eukaryotes, plasmids and viruses. Journal of Theoretical Biology 380,
156-177. [PDF] [A66] Michel C.J. 2015. An extended genetic scale of reading frame
coding. Journal of Theoretical Biology 365, 164-174. [PDF] 2014 [A65] El Soufi K., Michel C.J. 2014. Circular
code motifs in the ribosome decoding center. Computational
Biology and Chemistry 52, 9-17. [PDF] [A64] Michel C.J. 2014. A genetic scale of reading frame coding. Journal
of Theoretical Biology 355, 83-94. [PDF] [A63] Michel C.J., Seligmann H. 2014. Bijective
transformation circular codes and nucleotide exchanging RNA transcription. Biosystems
118, 39-50. [PDF] 2013 [A62] Lèbre
S., Michel C.J. 2013. A new
molecular evolution model for limited insertion independent of substitution. Mathematical
Biosciences 245, 137-147. [PDF] [A61] Herrmann M., Michel C.J., Zugmeyer B. 2013. A
necklace algorithm to determine the growth function of trinucleotide circular
codes. Journal of Applied Mathematics and Bioinformatics 3, 1-40. [PDF] [A60] Benard E., Michel C.J.
2013. Transition and transversion on the common trinucleotide circular code. Computational
Biology Journal 2013, Article ID 795418, 1-10. [PDF] [A59] Michel C.J. 2013. Circular code motifs in transfer RNAs. Computational
Biology and Chemistry 45, 17-29. [PDF] [A58] Michel C.J., Pirillo G. 2013.
Dinucleotide circular codes. ISRN Biomathematics 2013, Article ID
538631, 1-8. [PDF] [A57] Michel C.J., Pirillo G. 2013. A
permuted set of a trinucleotide circular code coding the 20 amino acids in
variant nuclear codes. Journal of Theoretical Biology 319, 116-121. [PDF] 2012 [A56] Lèbre
S., Michel C.J. 2012. An evolution model for
sequence length based on residue insertion-deletion independent of
substitution: an application to the GC content in bacterial genomes. Bulletin
of Mathematical Biology 74, 1764-1788. [PDF] [A55] Michel C.J., Pirillo G., Pirillo M.A. 2012. A
classification of 20-trinucleotide circular codes. Information and
Computation 212, 55-63. [PDF] [A54] Bussoli
L., Michel C.J., Pirillo
G. 2012. On conjugation partitions of sets of trinucleotides.
Applied Mathematics 3, 107-112. [PDF] [A53] Michel C.J. 2012. Circular code motifs in transfer and 16S
ribosomal RNAs: a possible translation code in genes. Computational Biology
and Chemistry 37, 24-37. [PDF] 2011 [A52] Bussoli
L., Michel C.J., Pirillo
G. 2011. On some forbidden configurations for
self-complementary trinucleotide circular codes. Journal for Algebra and
Number Theory Academia 2, 223-232. [PDF] [A51] Benard E., Michel C.J.
2011. A generalization of substitution evolution models of nucleotides to
genetic motifs. Journal of Theoretical Biology 288, 73-83. [PDF] [A50] Michel C.J., Pirillo G. 2011. Strong
trinucleotide circular codes. International Journal of Combinatorics
2011, Article ID 659567, 1-14. [PDF] [A49] Ahmed A., Michel C.J.
2011. Circular code signal in frameshift genes. Journal
of Computer Science and Systems Biology 4,
7-15. [PDF] 2010 [A48] Lèbre
S., Michel C.J. 2010. A stochastic
evolution model for residue insertion-deletion independent from substitution.
Computational Biology and Chemistry 34, 259-267. [PDF] [A47] Michel C.J., Pirillo G. 2010. Identification
of all trinucleotide circular codes. Computational Biology and Chemistry
34, 122-125. [PDF] [A46] Ahmed A., Frey G., Michel C.J.
2010. Essential molecular functions associated with the circular code
evolution. Journal of Theoretical Biology 264, 613-622. [PDF] 2009 [A45] Benard E., Michel C.J. 2009. Computation of direct and inverse mutations
with the SEGM web server Stochastic Evolution of
Genetic Motifs: an application to splice sites of human genome introns. Computational
Biology and Chemistry 33, 245-252. [PDF] [A44] Criscuolo
A., Michel C.J. 2009. Phylogenetic inference with
weighted codon evolutionary distances. Journal of
Molecular Evolution 68, 377-392. [PDF] [A43] Bahi
J.M., Michel C.J. 2009. A
stochastic model of gene evolution with time dependent pseudochaotic
mutations. Bulletin of Mathematical Biology 71, 681-700. [PDF] 2008 [A42] Bahi
J.M., Michel C.J. 2008. A
stochastic model of gene evolution with chaotic mutations. Journal of
Theoretical Biology 255, 53-63. [PDF] [A41] Ahmed A., Michel C.J.
2008. Plant microRNA detection using the circular code information. Computational
Biology and Chemistry 32, 400-405. [PDF] [A40] Michel C.J., Pirillo G., Pirillo M.A. 2008. A relation between trinucleotide
comma-free codes and trinucleotide circular codes. Theoretical
Computer Science 401, 17-26. [PDF] [A39] Michel C.J., Pirillo G., Pirillo M.A. 2008. Varieties of
comma free codes. Computer and Mathematics with Applications 55,
989-996. [PDF] [A38] Michel C.J. 2008. A 2006 review of circular codes in genes. Computer
and Mathematics with Applications 55, 984-988. [PDF] 2007 [A37] Michel C.J. 2007. Evolution probabilities and phylogenetic
distance of dinucleotides. Journal of Theoretical Biology 249,
271-277. [PDF] [A36] Ahmed A., Frey G., Michel C.J.
2007. Frameshift signals in genes associated with the circular code. In
Silico Biology 7, 155-168. [PDF] [A35] Michel C.J. 2007. Codon phylogenetic distance. Computational
Biology and Chemistry 31, 36-43. [PDF] [A34] Michel C.J. 2007. An analytical model of gene evolution with 9
mutation parameters: an application to the amino acids coded by the common
circular code. Bulletin of Mathematical Biology 69, 677-698. [PDF] 2006 [A33] Frey G., Michel C.J.
2006. Identification of circular codes in bacterial genomes and their use in
a factorization method for retrieving the reading frames of genes. Computational
Biology and Chemistry 30, 87-101. [PDF] [A32] Frey G., Michel C.J.
2006. An analytical model of gene evolution with 6 mutation parameters: an
application to archaeal circular codes. Computational Biology and
Chemistry 30, 1-11. [PDF] 2004 [A31] Bahi
J.M., Michel C.J. 2004. A
stochastic gene evolution model with time dependent mutations. Bulletin of
Mathematical Biology 66, 763-778. [PDF] 2003 [A30] Frey G., Michel C.J.
2003. Circular codes in archaeal genomes. Journal of Theoretical Biology
223, 413-431. [PDF] [A29] Michel C.J. 2003. A computer method for identifying patterns in
the electroencephalogram signals. Journal of
Medical Engineering and Technology 27,
267-275. [PDF] 2002 [A28] Arquès D.G., Lacan J., Michel C.J. 2002. Identification of protein coding
genes in genomes with statistical functions based on the circular code. Biosystems
66, 73-92. [PDF] 2001 [A27] Lacan
J., Michel C.J. 2001. Analysis of a
circular code model. Journal of Theoretical Biology 213, 159-170. [PDF] 2000 [A26] Bahi
J.M., Michel C.J. 2000. Convergence
of discrete asynchronous iterations. International Journal of Computer
Mathematics 74, 113-125. [PDF] 1999 [A25] Bahi
J.M., Michel C.J. 1999. Simulations
of asynchronous evolution of discrete systems. Simulation Practice and
Theory 7, 309-324. [PDF] [A24] Arquès D.G., Fallot J.-P., Marsan L., Michel C.J. 1999. An evolutionary analytical model of a
complementary circular code. Biosystems 49, 83-103. [PDF] 1998 [A23] Arquès D.G., Fallot J.-P., Michel C.J. 1998. An evolutionary analytical model of a
complementary circular code simulating the protein coding genes, the 5' and
3' regions. Bulletin of Mathematical Biology 60, 163-194. [PDF] 1997 [A22] Arquès D.G., Michel C.J. 1997. A
circular code in the protein coding genes of mitochondria. Journal of
Theoretical Biology 189, 273-290. [PDF] [A21] Arquès D.G., Michel C.J. 1997. A
code in the protein coding genes. Biosystems 44, 107-134. [PDF] [A20] Arquès D.G., Fallot J.-P., Michel C.J. 1997. An evolutionary model of a complementary
circular code. Journal of Theoretical Biology 185, 241-253. [PDF] 1996 [A19] Arquès D.G., Michel C.J. 1996. A
complementary circular code in the protein coding genes. Journal of
Theoretical Biology 182, 45-58. [PDF] [A18] Arquès D.G., Fallot J.-P., Michel C.J. 1996. Identification of several types of
periodicities in the collagens and their simulation. International Journal
of Biological Macromolecules 19, 131-138. [PDF] 1995 [A17] Arquès D.G., Michel C.J. 1995. Analytical
solutions of the dinucleotide probability after and before random mutations. Journal
of Theoretical Biology 175, 533-544. [PDF] [A16] Arquès D.G., Lapayre J.-C., Michel C.J. 1995. Identification and simulation of
shifted periodicities common to protein coding genes of eukaryotes,
prokaryotes and viruses. Journal of Theoretical Biology 172, 279-291. [PDF] 1994 [A15] Arquès D.G., Michel C.J. 1994. Analytical
expression of the purine/pyrimidine autocorrelation function after and before
random mutations. Mathematical Biosciences 123, 103-125. [PDF] 1993 [A14] Arquès D.G., Michel C.J. 1993. Identification
and simulation of new non-random statistical properties common to different
eukaryotic gene subpopulations. Biochimie 75, 399-407. [PDF] [A13] Arquès D.G., Michel C.J. 1993. Analytical
expression of the purine/pyrimidine codon probability after and before random
mutations. Bulletin of Mathematical Biology 55, 1025-1038. [PDF] [A12] Arquès D.G., Michel C.J. 1993. A
model of gene evolution based on recognizable languages and on insertion and
deletion operations. International Journal of Modelling
and Simulation 13, 110-113. [PDF] [A11] Arquès D.G., Michel C.J., Orieux K. 1993. Identification and simulation of new
non-random statistical properties common to different populations of
eukaryotic non-coding genes. Journal of Theoretical Biology 161,
329-342. [PDF] 1992 [A10] Arquès D.G., Michel C.J. 1992. A
simulation of the genetic periodicities modulo 2 and 3 with processes of
nucleotide insertions and deletions. Journal of Theoretical Biology
156, 113-127. [PDF] [A9] Arquès D.G., Michel C.J., Orieux K. 1992. Analysis of Gene Evolution: the software
AGE. Bioinformatics 8, 5-14. [PDF] 1990 [A8] Arquès D.G., Michel C.J. 1990. A
model of DNA sequence evolution. Part 1: Statistical features and
classification of gene populations, 743-753. Part 2: Simulation model,
753-766. Part 3: Return of the model to the reality, 766-770. Bulletin of
Mathematical Biology 52, 741-772. [PDF] [A7] Arquès D.G., Michel C.J. 1990. Periodicities
in coding and noncoding regions of the genes. Journal of Theoretical
Biology 143, 307-318. [PDF] 1989 [A6] Michel C.J. 1989. A study of the purine/pyrimidine codon
occurrence with a reduced centered variable and an evaluation compared to the
frequency statistic. Mathematical Biosciences 97, 161-177. [PDF] 1987 [A5] Arquès D.G., Michel C.J. 1987. Periodicities
in introns. Nucleic Acids Research 15, 7581-7592. [PDF] [A4] Arquès D.G., Michel C.J. 1987. A
purine-pyrimidine motif verifying an identical presence in almost all gene
taxonomic groups. Journal of Theoretical Biology 128, 457-461. [PDF] [A3] Arquès D.G., Michel C.J. 1987. Study
of a perturbation in the coding periodicity. Mathematical Biosciences
86, 1-14. [PDF] 1986 [A2] Michel C.J., Jacq B., Arquès D.G., Bickle T.A. 1986. A
remarkable amino acid sequence homology between a phage T4 tail fibre protein
and ORF314 of phage lambda located in the tail operon. Gene 44,
147-150. [PDF] [A1] Michel C.J. 1986. New statistical approach to discriminate between protein coding and non-coding regions in DNA sequences and its evaluation. Journal of Theoretical Biology 120, 223-236. [PDF] |
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