Abstract
The analysis of primary sequences from a protein sequence data base suggests that the sequences can be considered as examples of constrained random fractals. Fractal dimensions of the positional distributions of the 20 residues along the chain have been calculated. These fractal dimensions can be used as indices of intrinsic preferences of various residues.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anfinsen C B 1973 Principles that govern the folding of protein chains;Science 181 223–230
Barnsley M F 1988Fractals everywhere (New York: Academic Press) pp 176–177
Blout E R, de Loze C, Bloom S M and Fasman G D 1960 The dependence of the conformations of synthetic polypeptides on amino acid composition;J. Am. Chem. Soc. 82 3787–3789
Chou P Y and Fasman G D 1974 Prediction of protein conformation;Biochemistry 13 222–244
Davies D R 1964 A correlation between amino acid composition and protein structure;J. MoL Biol. 9 605–609
Dirkx J 1972 Une methode semi-empirique de prediction des regions L-helicoidales des chaines polypeptidiques d’apres leur structure primaire;Arch. Int. Physiol. Biochim. 80 185–187
Doolittle RF 1981 Similar amino acid sequences: chance or common ancestry?;Science 214 149–159
Dose K 1976 Ordering process; inProtein structure and evolution (eds) J L Fox, Zdenek Deyl and Anton Blazej (New York: Marcel Dekker) pp 165–166
Finkelstein A V and Ptitsyn O B 1971 Statistical analysis of the correlation among amino acid residues in helical,β-structural and non-regular regions of globular proteins;J. MolBiol. 62 613–624
Kendall M 1976Time-series 2nd edition (London: Charles Griffin) pp 21–28
Kolaskar A S and Ramabrahmam V 1983 Conformational properties of pairs of amino acids;Int. J. Peptide Protein Res. 22 83–91
Meeta Rani 1990Fractal dimensions of protein sequences, M. Phil, dissertation, University of Hyderabad, Hyderabad
Ptitsyn O B 1984 Protein as an edited copolymer;Mol Biol. USSR 18 574–590
Saupe D 1988 Random fractal algorithms; inThe science of fractal images (eds) H O Peitgen and D Saupe (New York: Springer-Verlag) pp 71–113
Vonderviszt F, Matrai Gy and Simon I 1986 Characteristic residue environment of amino acids in proteins;Int. J. Peptide Protein Res. 27 483–492
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
Mitra, C.K., Rani, M. Protein sequences as random fractals. J Biosci 18, 213–220 (1993). https://doi.org/10.1007/BF02703118
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02703118