Abstract
Autocorrelation and spectrum analyses of amino acid residues along protein chains in a large data base has been performed. Results reveal the presence of general long range correlations. Similar analyses of simulated (random) peptides do not exhibit any such long range correlations. Based on the results of nur analysis, an attempt has been made to model the distribution of residues in protein sequences on a fractional Brownian motion and individual sequences as multi-fractals. For this purpose, the characteristics of an fractional Brownian motion namely, the scaling parameterH. the spectral exponent β and the fractal dimensionD, have been described
Similar content being viewed by others
References
Cserzo M and Simon L 1989 Regularities in primary structures of proteins;Int J. Peptide Protein Res. 34 184–195
Daniell P J 1946 Discussion on “Symposium on auto-correlation in time series”;Suppl. J. R. Statist. Soc. 8 88
Devaney R L 1988 Fractal patterns arising in chaotic dynamical systems; inThe science of fractal images (eds) H O Peitgen and D Saupe (New York: Springer-Verlag) pp 137–168
Kendall M, Stuart A and Ord J K 1983The advanced theory of statistics (High Wycombe: Charles Griffin) pp 422–694
Mandelbrot B 1982The fractal geometry of nature (New York: W H Freeman)
Mitra C K and Meeta Rani 1993 Protein sequences as random fractals;J.Biosci. 18 213–220
Nandy A 1994 Recent investigations into global characteristics of long DNA sequences;Indian J. Biochem. Biophys. 34 149–155
Oppenheimer, P E 1986 Real time design and animation of fractal plants and trees;Comput. Graphics 20 4
Orbach R 1986 Dynamics of fractal networks;Science 231 814–819
Peng C K, Buldyrev S V, Goldberger A L, Havlin S, Sciortino F, Simons M and Stanley H E 1992 Long range correlations in nucleotide sequences;Nature (London) 356 168–170
Voss R F and Clarke J 1975 1/F noise in music and speech;Nature (London) 258 317–318
Voss R F 1988 Fractals in nature; inThe science of fractal images (eds) H O Peitgen and D Saupe (New York: Springer-Verlag) pp 21–70
Voss R F 1992 Evolution of long-range fractal correlations and 1/f noise in DNA base sequences;Phys Rev Lett 68 3805–3808
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rani, M., Mitra, C.K. Correlation analysis of frequency distributions of residues in proteins. J. Biosci. 20, 7–16 (1995). https://doi.org/10.1007/BF02711576
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02711576