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Conservation of Shannon's redundancy for proteins

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Summary

The fundamental question of the randomness or non-randomness of protein sequences is studied utilizing information theory. Information parameters for random protein sequences are derived utilizing Monte Carlo methods. Real sequence parameters are compared with the random standards for sequences of a specific length.

Non-periodic proteins as a whole have random Shannon redundancies (R) except for the constraints imposed by their short length and the genetic code. This randomR value is conserved within the basic informational unit of proteins throughout the evolutionary process but not the components ofR, D 1, andD 2. Highly periodic proteins are identifiable by their highR value and their highD 1-lowD 2 pattern. A parameter for calculating the degree of periodicity is defined. There is an unexpected suggestion of generalized, residual periodicity in proteins as a whole.

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References

  • Boulter, D., Ramshaw, J. A. M., Thompson, E. W., Richardson, M., Brown, R. H.: Proc. R. Soc. Lond. B.181, 441 (1972)

    Google Scholar 

  • Cherry, C.: On human communications. Cambridge, Mass.: Technology Press of Massachusetts, Institute of Technology 1957

    Google Scholar 

  • Davidson, J. N., Dancis, B. M.: J. Human Evol.1, 579 (1972)

    Google Scholar 

  • Dayhoff, M. O.: Atlas of protein sequence and structure. Silver Spring, Md.: Natl. Biomed. Res. Found 1972

    Google Scholar 

  • DeVries, A. L., Vander heede, J., Feeney, R. E.: J. Biol. Chem.246, 305 (1971)

    PubMed  Google Scholar 

  • Eck, R. V., Dayhoff, M. O.: Sci.152, 363 (1966)

    Google Scholar 

  • Eigen, M.: Naturwiss.58, 465 (1971)

    PubMed  Google Scholar 

  • Fietzek, P. P., Rexrodt, F. W., Hopper, K. E., Kühn, K.: Eur. J. Biochem.38, 396 (1973)

    PubMed  Google Scholar 

  • Gatlin, L. L.: Information theory and the living system. New York: Columbia University Press 1972

    Google Scholar 

  • Gatlin, L. L.: J. Mol. Evol.3, 233–238 (1974)

    PubMed  Google Scholar 

  • Holmquist, R.: J. Mol. Evol. (in press, 1974)

  • Jones, D. D., Dayhoff, M. O.: Biophys. Soc. Abst.12, 162a, SaPM-C11 (1972)

  • Jukes, T. H., Holmquist, R.: J. Mol. Biol.64, 163 (1972)

    Google Scholar 

  • Jukes, T. H., Holmquist, R.: J. Mol. Evol.2, 215 (1973a)

    PubMed  Google Scholar 

  • Jukes, T. H., Holmquist, R.: J. Mol. Evol.2, 343 (1973b)

    PubMed  Google Scholar 

  • Khinchin, A. I.: Mathematical foundations of information theory. New York: Dover 1957

    Google Scholar 

  • King, J. L., Jukes, T. H.: Sci.164, 788 (1969)

    Google Scholar 

  • Krzywicki, A., Slonimski, P. P.: J. Theoret. Biol.17, 136 (1967)

    Google Scholar 

  • Moon, K., Pisckiewicz, D., Smith, E. C.: Proc. Natl. Acad. Sci. (Wash.)69, 1380 (1972)

    Google Scholar 

  • MacLaren, M. D., Marsaglia, G.: J. Assn. Comp. Mach.12, 83 (1965)

    Google Scholar 

  • Morgan, W. T., Hensley, C. P., Jr., Riehm, J. P.: J. Biol. Chem.247, 6555 (1972)

    PubMed  Google Scholar 

  • Ohta, T., Kimura, M.: Science174, 150 (1971)

    PubMed  Google Scholar 

  • Pettigrew, G. W.: FEBS Letters22, 64 (1972)

    PubMed  Google Scholar 

  • Pettigrew, G. W.: Nature241, 531 (1973)

    PubMed  Google Scholar 

  • Reichert, T. A., Wong, A. K. C.: J. Mol. Evol.1, 97 (1971)

    PubMed  Google Scholar 

  • Shannon, C. E.: The mathematical theory of communication. Urbana: University of Illinois Press 1949

    Google Scholar 

  • Yčas, M.: J. Mol. Evol.2, 17 (1972)

    PubMed  Google Scholar 

  • Zimmerman, J. M., Eliezer, N., Simha, R.: J. Theoret. Biol.21, 170 (1968)

    Google Scholar 

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Gatlin, L.L. Conservation of Shannon's redundancy for proteins. J Mol Evol 3, 189–208 (1974). https://doi.org/10.1007/BF01797453

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  • DOI: https://doi.org/10.1007/BF01797453

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