Stochastic dynamics modeling of the protein sequence length distribution in genomes: Implications for microbial evolution

Physica A: Statistical Mechanics and its Applications

Volumn 273, Issue 3-4, 1999, Pages 476-485

  Jain, Rinku ^a   Ramakumar, S ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Lognormal probability function; Pareto's law; Protein sequence evolution; Protein sequence length; Random multiplicative process

Indexed keywords

EID: 0347597824     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00370-2     Document Type: Article

References (31)

1. D. Xu, R. Nussinov, Folding Des. 27 (1997) 11.
2. R.L. Dorit, L. Schoenbach, W. Gilbert, Science 250 (1990) 1377.
3. R.L. Dorit, W. Gilbert, Curr. Opinion Struct. Biol. 1 (1991) 973.
4. M. Kimura, Nature 217 (1968) 624.
5. M. Eigen, W. Gardiner, P. Schuster, R. Winkler-Oswatitsch, Sci. Am. 244(4) (1981) 78.
6. O.B. Ptitsyn, M.V. Volkenstein, J. Biomol. Struct. Dyn. 4(1) (1986) 137.
7. M.A. Savageau, Proc. Natl. Acad. Sci. USA 83 (1986) 1198.
8. A.L. Berman, E. Kolker, E.N. Trifonov, Proc. Natl. Acad. Sci. USA 91 (1994) 4044.
9. F. Dyson, Origins of Life, Cambridge University Press, Cambridge, 1990.
10. J. Aitchison, J.A.C. Brown, The Lognormal Distribution, Cambridge University Press, Cambridge, 1966.
11. E.C. Pielou, An Introduction to Mathematical Ecology, Wiley Interscience, USA, 1969.
12. P.R. Bevington, Data Reduction and Error Analysis for the Physical Sciences, McGraw-Hill, USA, 1969.
13. W.H. Press, S.A. Teukolsky, W.T. Vellerling, B.P. Flannery, Numerical Recipes in Fortran, Cambridge University Press, Cambridge, 1998.
14. C.G. Granqvist, R.A. Buhrman, J. Appl. Phys. 47 (1976) 2200.
15. E.W. Montroll, M.F. Shlesinger, Proc. Natl. Acad. Sci. USA 79 (1982) 3380.
16. P. Mirowski, Fractals 3(3) (1995) 581.
17. M.H.R. Stanley, L.A.N. Amaral, S.V. Buldyrev, S. Havlin, H. Leschhorn, P. Maass, M.A. Salinger, H.E. Stanley, Nature 379 (1996) 804.
18. M.H.R. Stanley, L.A.N. Amaral, S.V. Buldyrev, S. Havlin, H. Leschhorn, P. Maass, M.A. Salinger, H.E. Stanley, Fractals 4(3) (1996) 415.
19. S. Redner, American, J. Phys. 58(3) (1990) 267.
20. B.T. Hyman, H.L. West, G.W. Rebeck, S.V. Buldyrev, R.N. Mantegna, M. Ukleja, S. Havlin, H.E. Stanley, Proc. Natl. Acad. Sci. USA 92 (1995) 3586.
21. A.F. Kisselev, T.N. Akopian, A.L. Goldberg, J. Biol. Chem. 273(4) (1998) 1982.
22. V. Mishra, S.M. Kresta, J.H. Masliyah, J. Colloid Interface Sci. 197 (1998) 57.
23. K. Oexle, J. Theor. Biol. 190 (1998) 369.
24. C.-R. Wang, R.-B. Huang, Z.-Y. Liu, L.-S. Zheng, Chem. Phys. Lett. 227 (1994) 103.
25. P. Forterre, Curr. Opinion Genet. Dev. 7 (1997) 764.
26. G. Deckert, P.V. Warren, T. Gaasterland, W.G. Young, A.L. Lenox, D.E. Graham, R. Overbeek, M.A. Snead, M. Keller, M. Aujay, R. Huber, R.A. Feldman, J.M. Short, G.J. Olden, R.V. Swanson, Nature 392 (1998) 353.
27. Y. Kawarabayasi, M. Sawada, H. Horikawa, Y. Haikawa, Y. Hino, S. Yamamoto, M. Sekine, S. Baba, H. Kosugi, A. Hosoyama, Y. Nagai, M. Sakai, K. Ogura, R. Otsuka, H. Nakazawa, M. Takamiya, Y. Ohfuku, T. Funahashi, T. Tanaka, Y. Kudoh, J. Yamazaki, N. Kushida, A. Oguchi, K. Aoki, H. Kikuchi, DNA Res. 5(2) (1998) 55.
28. A.V. Lukashin, M. Borodovsky, Nucleic Acids Res. 26(4) (1998) 1107.
29. D.E. Koshland Jr., Nat. Med. 4(10) (1998) 1112.
30. M. Itaya, FEBS Lett. 362 (1995) 257.
31. F.H. Arnold, Acc. Chem. Res. 31 (1998) 125.