The genetic code and its optimization for kinetic energy conservation in polypeptide chains

Why is the genetic code the way it is? Concepts from fields as diverse as molecular evolution, classical chemistry, biochemistry and metabolism have been used to define selection pressures most likely to be involved in the shaping of the genetic code. Here minimization of kinetic energy disturbances during protein evolution by mutation allows an optimization of the genetic code to be highlighted. The quadratic forms corresponding to the kinetic energy term are considered over the field of rational numbers. Arguments are given to support the introduction of notions from basic number theory within this context. The observations found to be consistent with this minimization are statistically significant. The genetic code may well have been optimized according to energetic criteria so as to improve folding and dynamic properties of polypeptide chains.

[1]  Jean-Luc Jestin,et al.  Degeneracy in the genetic code and its symmetries by base substitutions. , 2003, Comptes rendus biologies.

[2]  Charlotte M. Deane,et al.  Synonymous codon usage influences the local protein structure observed , 2010, Nucleic acids research.

[3]  T. M. Sonneborn Degeneracy of the Genetic Code: Extent, Nature, and Genetic Implications , 1965 .

[4]  T. Ghosh,et al.  Synonymous codon usage in different protein secondary structural classes of human genes: Implication for increased non-randomness of GC3 rich genes towards protein stability , 2007, Journal of Biosciences.

[5]  Massimo Di Giulio,et al.  The origin of the genetic code: theories and their relationships, a review. , 2005 .

[6]  H. Seligmann An overlapping genetic code for frameshifted overlapping genes in Drosophila mitochondria: antisense antitermination tRNAs UAR insert serine. , 2012, Journal of theoretical biology.

[7]  A. Sciarrino A mathematical model accounting for the organization in multiplets of the genetic code. , 2001, Bio Systems.

[8]  V I Shcherbak Twenty canonical amino acids of the genetic code: the arithmetical regularities. Part I. , 1993, Journal of theoretical biology.

[9]  D. Yee,et al.  Principles of protein folding — A perspective from simple exact models , 1995, Protein science : a publication of the Protein Society.

[10]  Hervé Seligmann,et al.  Do anticodons of misacylated tRNAs preferentially mismatch codons coding for the misloaded amino acid? , 2010, BMC Molecular Biology.

[11]  Iu B Rumer [Codon systematization in the genetic code]. , 1966, Doklady Akademii nauk SSSR.

[12]  C. Woese,et al.  Evolution of the genetic code , 2004, The Science of Nature.

[13]  S. Osawa,et al.  Recent evidence for evolution of the genetic code , 1992, Microbiological reviews.

[14]  J. Wong A co-evolution theory of the genetic code. , 1975, Proceedings of the National Academy of Sciences of the United States of America.

[15]  Jean-Pierre Serre A Course in Arithmetic , 1973 .

[16]  G. Sella,et al.  The Impact of Message Mutation on the Fitness of a Genetic Code , 2002, Journal of Molecular Evolution.

[17]  Eugene V Koonin,et al.  Origin and evolution of the genetic code: The universal enigma , 2008, IUBMB life.

[18]  Hervé Seligmann,et al.  Error compensation of tRNA misacylation by codon-anticodon mismatch prevents translational amino acid misinsertion , 2011, Comput. Biol. Chem..

[19]  V. I. Shcherbak Rumer's rule and transformation in the context of the co-operative symmetry of the genetic code. , 1989, Journal of Theoretical Biology.

[20]  A. Kempf,et al.  Optimization Models and the Structure of the Genetic Code , 2009, Journal of Molecular Evolution.

[21]  J. Trevors,et al.  Chance and necessity do not explain the origin of life , 2004, Cell biology international.

[22]  Folding type specific secondary structure propensities of synonymous codons , 2003, IEEE Transactions on NanoBioscience.

[23]  Luis J. Garay Quantum Gravity and Minimum Length , 1995 .

[24]  C. Soulé,et al.  Symmetries by base substitutions in the genetic code predict 2(') or 3(') aminoacylation of tRNAs. , 2007, Journal of theoretical biology.

[25]  A. Kempf,et al.  Degeneracy in the Genetic Code : How and Why ? , 2009 .

[26]  V I Shcherbak Sixty-four triplets and 20 canonical amino acids of the genetic code: the arithmetical regularities. Part II. , 1994, Journal of theoretical biology.

[27]  M. Di Giulio,et al.  The extension reached by the minimization of the polarity distances during the evolution of the genetic code. , 1989, Journal of molecular evolution.

[28]  J. Ninio Divergence in the Genetic Code , 1986 .

[29]  T H Jukes,et al.  Evolution of the genetic code as affected by anticodon content. , 1988, Trends in genetics : TIG.

[30]  L. Hurst,et al.  Early fixation of an optimal genetic code. , 2000, Molecular biology and evolution.

[31]  A. Goldberg,et al.  Genetic Code: Aspects of Organization , 1966, Science.

[32]  J. Wong,et al.  Role of minimization of chemical distances between amino acids in the evolution of the genetic code. , 1980, Proceedings of the National Academy of Sciences of the United States of America.

[33]  J. Wong,et al.  Coevolution theory of the genetic code at age thirty. , 2005, BioEssays : news and reviews in molecular, cellular and developmental biology.

[34]  Hervé Seligmann,et al.  Two genetic codes, one genome: Frameshifted primate mitochondrial genes code for additional proteins in presence of antisense antitermination tRNAs , 2011, Biosyst..

[35]  Rumer IuB Codon systematization in the genetic code , 1966 .

[36]  Achim Kempf,et al.  Chain termination codons and polymerase‐induced frameshift mutations , 1997, FEBS letters.

[37]  E. De Keyser,et al.  Multipoint-likelihood maximization mapping on 4 segregating populations to achieve an integrated framework map for QTL analysis in pot azalea (Rhododendron simsii hybrids) , 2010, BMC Molecular Biology.

[38]  Mario Medugno,et al.  Physicochemical Optimization in the Genetic Code Origin as the Number of Codified Amino Acids Increases , 1999, Journal of Molecular Evolution.

[39]  Jean-Luc Jestin,et al.  A rationale for the symmetries by base substitutions of degeneracy in the genetic code , 2010, Biosyst..

[40]  N. J. A. Sloane,et al.  Sphere Packings, Lattices and Groups , 1987, Grundlehren der mathematischen Wissenschaften.