Issues

 / 

2000

 / 

January

  

Reviews of topical problems


Order and correlations in genomic DNA sequences. The spectral approach

 a,  b
a Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Russian Academy of Sciences, Kaluzhskoe shosse 4, Troitsk, Ìîñêâà, 108840, Russian Federation
b State Scientific Center of the Russian Federation ‘Troitsk Institute for Innovation and Fusion Research’, Troitsk, Moscow Region, Russian Federation

The structural analysis of genomic DNA sequences is discussed in the framework of the spectral approach, which is sufficiently universal due to the reciprocal correspondence and mutual complementarity of Fourier transform length scales. The spectral characteristics of random sequences of the same nucleotide composition possess the property of self-averaging for relatively short sequences of length M \geqslant 100-300. Comparison with the characteristics of random sequences determines the statistical significance of the structural features observed. Apart from traditional applications to the search for hidden periodicities, spectral methods are also efficient in studying mutual correlations in DNA sequences. By combining spectra for structure factors and correlation functions, not only integral correlations can be estimated but also their origin identified. Using the structural spectral entropy approach, the regularity of a sequence can be quantitatively assessed. A brief introduction to the problem is also presented and other major methods of DNA sequence analysis described.

Fulltext pdf (712 KB)
Fulltext is also available at DOI: 10.1070/PU2000v043n01ABEH000611
PACS: 02.50.−r, 05.10.−a, 87.10.+e, 87.14.Gg (all)
DOI: 10.1070/PU2000v043n01ABEH000611
URL: https://ufn.ru/en/articles/2000/1/c/
000086055100003
Citation: Lobzin V V, Chechetkin V R "Order and correlations in genomic DNA sequences. The spectral approach" Phys. Usp. 43 55–78 (2000)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Ëîáçèí Â Â, ×å÷åòêèí Â Ð «Ïîðÿäîê è êîððåëÿöèè â ãåíîìíûõ ïîñëåäîâàòåëüíîñòÿõ ÄÍÊ. Ñïåêòðàëüíûé ïîäõîä» ÓÔÍ 170 57–81 (2000); DOI: 10.3367/UFNr.0170.200001c.0057

References (130) ↓ Cited by (54) Similar articles (20)

  1. Rodriguez-Tome P et al. Nucl. Acids Res. 24 6 (1996)
  2. Benson D A et al. Nucl. Acids Res. 26 1 (1998)
  3. Stoesser G et al. Nucl. Acids Res. 27 18 (1999)
  4. Ratner V A et al. Problemy Teorii Molekulyarnoî Evolutsii (Problems in Theory of Molecular Evolution, Novosibirsk: Nauka, 1985) [Translated into English: Molecular Evolution (Berlin: Springer, 1996)]
  5. Aleksandrov A A et al. Komp’yuternyî Analiz Geneticheskikh Tekstov (Computer Analysis of Genetic Texts, Ed. M D Frank-Kamenetskiî, Moscow: Nauka, 1990)
  6. Weir B S Genetic Data Analysis (Sunderland, Mass.: Sinauer Associates, Inc. Publ., 1990) [Translated into Russian (Moscow: Mir, 1995)]
  7. Waterman M S (Ed.) Mathematical Methods for DNA Sequences (Boca Raton, Fl.: CRC Press, 1989) [Translated into Russian (Moscow: Mir, 1999)]
  8. Bishop M J, Rawlings C J (Eds) DNA and Protein Sequence Analysis: A Practical Approach (Oxford: IRL Press, 1997)
  9. Kolchanov N A, Lim H A Computer Analysis of Genetic Macromolecules: Structure, Function and Evolution (Singapore: World Scientific, 1994)
  10. Swindell S R, Miller R R, Myers G S A (Eds) Internet for the Molecular Biologist (Oxford: Horizon Scientific, 1996)
  11. Baxevanis A, Quellette B F F Bioinformatics: A Practical Guide to the Analyses of Genes and Proteins (New York: Wiley, 1998)
  12. Vingron M, Waterman M S J. Mol. Biol. 235 1 (1994)
  13. Gelfand M S J. Comp. Biol. 2 87 (1995); Gel’fand M S Mol. Biol. 32 103 (1998)
  14. Fickett J W Comput. Chem. 20 103 (1996)
  15. Li W Comput. Chem. 21 257 (1997)
  16. http://linkage.rockefeller.edu/wli/dna.corr
  17. Turygin A Yu, Chechetkin V R Zh. Eksp. Teor. Fiz. 106 335 (1994) [JETP 79 176 (1994)]
  18. Chechetkin V R, Turygin A Y J. Phys. A 27 4875 (1994)
  19. Chechetkin V R, Knizhnikova L A, Turygin A Y J. Biomol. Struct. Dyn. 12 271 (1994)
  20. Chechetkin V R, Turygin A Y Phys. Lett. A 199 75 (1995)
  21. Chechetkin V R, Turygin A Y J. Theor. Biol. 175 477 (1995)
  22. Chechetkin V R et al. "Reconstruction of hidden repeats in DNA sequences, their significance, and applications", Preprint TRINITI 0033-A (Moscow: TsNIIATOMINFORM, 1996) [in English]
  23. Chechetkin V R, Turygin A Y J. Theor. Biol. 178 205 (1996)
  24. Chechetkin V R, Lobzin V V Phys. Lett. A 222 354 (1996)
  25. Ezhov A A, Chechetkin V R Mat. Modelirovanie 10 83 (1998)
  26. Chechetkin V R, Lobzin V V J. Biomol. Struct. Dyn. 15 937 (1998)
  27. Chechetkin V R, Lobzin V V J. Theor. Biol. 190 69 (1998)
  28. Ivanitskiî G R et al. Biofiz. 30 418 (1985)
  29. Alberts B et al. Molecular Biology of the Cell (New York: Garland Publ., 1983) [Translated into Russian (Moscow: Mir, 1986)]
  30. Rees A R, Sternberg M J E From Cells to Atoms. An Illustrated Introduction to Molecular Biology (Oxford: Blackwell, 1984) [Translated into Russian (Moscow: Mir, 1988)]
  31. Georgiev G P Geny Vysshikh Organizmov i Ikh Ekspressiya (Genes of Higher Organisms and Its Expression, Moscow: Nauka, 1989)
  32. Grosberg A Yu, Khokhlov A R Statisticheskaya Fizika Makromolekul (Statistical Physics of Macromolecules, Moscow: Nauka, 1989) [Translated into English (New York: AIP Press, 1994)]
  33. Creighton T Proteins: Structures and Molecular Properties (New York: Freeman, 1993)
  34. Stepanov V M Struktura i Funktsii Belkov (Structure and Functions of Proteins, Moscow: Vysshaya Shkola, 1996)
  35. Britten R J, Kohne E D Science 161 529 (1968)
  36. Trifonov E N Bull. Math. Biol. 51 417 (1989)
  37. Trifonov E N Comput. Chem. 17 27 (1993)
  38. Trifonov E N, Sussman J L Proc. Natl. Acad. Sci. USA 77 3816 (1980)
  39. Hagerman P J Annu. Rev. Biochem. 59 755 (1990)
  40. Olson W K, Zhurkin V B, in Biological Structure and Dynamics (Eds R H Sarma, M H Sarma, New York: Adenine Press, 1996) p. 341
  41. Nussinov R J. Theor. Biol. 125 219 (1987)
  42. Staden R Comput. Applic. Biosci. 4 53 (1988)
  43. Sprizhitskiî Yu A et al. Mol. Biol. 22 338 (1988)
  44. Wada K et al. Nucl. Acids Res. 19 1981 (1991)
  45. Fickett J W, Tung C-S Nucl. Acids Res. 20 6441 (1992)
  46. Shannon C E Raboty po Teorii Informatsii i Kibernetike (Papers on Information Theory and Cybernetics, Moscow: IIL, 1963) [see: Claude Elwood Shannon: Collected Papers (Eds W J A Sloane, A D Wyner, New York: IEEE Press, 1993)]
  47. Bleisdell B E J. Mol. Evol. 21 278 (1985)
  48. Borodovskiî M Yu et al. Mol. Biol. 20 1014, 1024, 1390 (1986)
  49. Phillips G J, Arnold J, Ivarie R Nucl. Acids Res. 15 2611, 2627 (1987)
  50. Stükle E E et al. Nucl. Acids Res. 18 6641 (1990)
  51. Feller W An Introduction to Probability Theory and Its Applications (New York: Wiley, 1970) [Translated into Russian (Moscow: Mir, 1984)
  52. Herzel H, Ebeling W, Schmitt A O Phys. Rev. E 50 5061 (1994); Chaos, Solitons and Fractals 4 97 (1994)
  53. Mantegna R N et al. Phys. Rev. Lett. 73 316 (1994)
  54. Israeloff N E, Kagalenko M, Chan K Phys. Rev. Lett. 76 1976 (1996)
  55. Schmitt A O, Ebeling W, Herzel H Biosystems 37 199 (1996)
  56. Chatzidimitriou-Dreismann C A, Streffer R M F, Larhammar D Nucl. Acids Res. 24 1676 (1996)
  57. Luo L F Collected Works on Theoretical Biophysics (Hohhot: Inner Mongolia University Press, 1997)
  58. Herzel H, Grosse I Physica A 216 519 (1995)
  59. Mrazek J, Kypr J Comp. Applic. Biosci. 11 195 (1995)
  60. Li W, Kaneko K Europhys. Lett. 17 655 (1992)
  61. Luo L F et al. Phys. Rev. E 58 861 (1998)
  62. Peng C-K et al. Nature (London) 356 168 (1992)
  63. Nee S Nature (London) 357 450 (1992)
  64. Karlin S, Brendel V Science 259 677 (1993)
  65. Chatzidimitriou-Dreismann C A, Streffer R M F, Larhammar D Eur. J. Biochem. 224 365 (1994); Biochim. Biophys. Acta 1217 181 (1994)
  66. Kapitonov V V, Titov I I Dokl. Ross. Akad. Nauk 337 810 (1994)
  67. Borovik A S, Grosberg A Y, Frank-Kamenetskii D F J. Biomol. Struct. Dyn. 12 655 (1994)
  68. Shnerb N, Eisenberg E Phys. Rev. E 49 R1005 (1994)
  69. Stanley H E et al. Nuovo Cimento D 16 1339 (1996)
  70. Allegrini P et al. Phys. Rev. E 57 4558; 58 3640 (1998)
  71. Viswanathan G M et al. Physica A 249 581 (1998)
  72. Astaf’eva N M Usp. Fiz. Nauk 166 1145 (1996) [Phys. Usp. 39 1085 (1996)]
  73. Arneodo A et al. Phys. Rev. Lett. 74 3293 (1995)
  74. Altaiskii M, Mornev O, Polozov R Genetic Analysis: Biomol. Engineer. 12 165 (1996)
  75. Tsonis A A et al. Phys. Rev. E 53 1828 (1996)
  76. Arneodo A et al. Physica A 249 439 (1998)
  77. Bernardi G Annu. Rev. Genet. 29 445 (1995)
  78. Fickett J W, Torney D C, Wolf D R Genomics 13 1056 (1992)
  79. McLachlan A D, Stewart M J. Mol. Biol. 103 271 (1976)
  80. Silverman B D, Linsker R J. Theor. Biol. 118 295 (1986)
  81. Deev A A et al. Biofiz. 34 564 (1989)
  82. McLachlan A D J. Phys. Chem. 97 300 (1993)
  83. Makeev V J, Tumanyan V G Comp. Applic. Biosci. 12 49 (1995)
  84. Lee W J, Luo L F Phys. Rev. E 56 848 (1997)
  85. Kutuzova G I et al. Biofiz. 42 354 (1997)
  86. Felsenstein J, Sawyer S, Kochin R Nucl. Acids Res. 10 133 (1982)
  87. Benson D C Nucl. Acids Res. 18 3001, 6305 (1990)
  88. Cheever E A, Overton G C, Searls D B Comp. Applic. Biosci. 7 143 (1991)
  89. Arques D G, Michel C J, Oriex K Comp. Applic. Biosci. 8 5 (1992)
  90. Voss R F Phys. Rev. Lett. 68 3805 (1992); Fractals 2 1 (1994)
  91. Marpl S L (Jr) Digital Spectral Analysis with Applications (Englewood Cliffs, N.J.: Prentice-Hall, 1987) [Translated into Russian (Moscow: Mir, 1990)]
  92. Van Kampen N G Stochastic Processes in Physics and Chemistry (Amsterdam: North-Holland, 1984) [Translated into Russian (Moscow: Vysshaya Shkola, 1990)]
  93. Anderson T W An Introduction to Multivariate Statistical Analysis (New York: Wiley, 1958) [Translated into Russian (Moscow: Fizmatgiz, 1963)]
  94. Low R L, Arai K, Kornberg A Proc. Natl. Acad. Sci. USA 78 1436 (1981)
  95. Green N P O, Stout G W, Taylor D J Biology (Cambridge: Cambridge University Press, 1985) [Translated into Russian (Moscow: Mir, 1993)]
  96. Crick F H C et al. Origins Life 7 389 (1976)
  97. Eigen M et al. Sci. Am. 244 88 (1981)
  98. Zhurkin V B Nucl. Acids Res. 9 1963 (1981)
  99. Kypr J, Mrazek J Int. J. Biol. Macromol. 9 49 (1987)
  100. Leadbetter M R, Lindgren G, Rootzen H Extremes and Related Properties of Random Sequences and Processes (New York: Springer, 1983)
  101. Mani G A J. Theor. Biol. 158 447 (1992)
  102. Eigen M, Winkler-Oswatitsch R Naturwissenschaften 68 282 (1981)
  103. Lagunez-Otero J, Trifonov E N J. Biomol. Struct. Dyn. 10 451 (1992)
  104. Curran J F, Gross B L J. Mol. Biol. 235 389 (1994)
  105. Almagor H J. Theor. Biol. 117 127 (1985)
  106. Zhang C-T, Chou K-C J. Mol. Biol. 238 1 (1994)
  107. Mrazek J, Kypr J J. Mol. Evol. 39 439 (1994)
  108. Lio P, Ruffo S, Buiatti M J. Theor. Biol. 171 215 (1994)
  109. Frank G K, Makeev V J J. Biomol. Struct. Dyn. 14 629 (1997)
  110. Johnson R L et al. Science 272 1668 (1996)
  111. Gailani M R et al. Nature Genetics 14 78 (1996)
  112. Ezhov A A et al. Ross. Zh. Kozhnykh Bolezneî (1) 17 (1999)
  113. Godreche C, Luck J M J. Phys. A 23 3769 (1990)
  114. Cheng Z, Savit R Phys. Rev. A 44 6379 (1991)
  115. Li W Phys. Rev. A 43 5240 (1991)
  116. Wang Y-H et al. Science 265 669 (1994)
  117. Bates G, Lehrach H Bioessays 16 277 (1994)
  118. Analysis of Triplet Repeat Disorders (Eds D Rubinsztein, M Hayden, Oxford: BIOS, 1998)
  119. Bina M J. Mol. Biol. 235 198 (1994)
  120. Beckmann J S, Trifonov E N Proc. Natl. Acad. Sci. USA 88 2380 (1991)
  121. Arques D G, Michel C J Nucl. Acids Res. 15 7581 (1987)
  122. Vogt P Human Genet. 84 301 (1990)
  123. Arques D G, Michel C J J. Theor. Biol. 143 307 (1990)
  124. Hamermesh M Group Theory and Its Applications to Physical Problems (Reading, Mass.: Addison-Wesley, 1962) [Translated into Russian (Moscow: Mir, 1966)]
  125. Feder J Fractals (New York: Plenum, 1988) [Translated into Russian (Moscow: Mir, 1991)]
  126. Novak R Science 263 608 (1994)
  127. Drexler K E Annu. Rev. Biophys. Biomol. Struct. 23 377 (1994)
  128. Ayala F J Population and Evolutionary Genetics: A Primer (Reading, Mass.: Benjamin Cummings Reading, 1982) [Translated into Russian (Moscow: Mir, 1984)]
  129. Chechetkin V R, Lobzin V V J. Theor. Biol. 198 197, 219 (1999)
  130. Lobzin V V, Chechetkin V R Zh. Eksp. Teor. Fyz. 116 620 (1999) [JETP 89 331 (1999)]

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions