RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1987

 / 

April

←  →

Reviews of topical problems


Polyelectrolyte model of DNA

, ,

The present state of the theory of strongly charged polyelectrolytes of the DNA type is reviewed. An infinitely long, uniformly charged cylinder immersed in a dielectric continuum is adopted as a model of DNA. Small mobile ions are treated as impermeable spheres. A comparison of the results of rigorous and approximate theoretical approaches to the description of this model shows that the self-consistent-field method, i.e., the Poisson-Boltzmann equation, is a reliable basis for deriving quantitative results. The theory of polyelectrolytes based on a solution of the nonlinear Poisson-Boltzmann equation is used to analyze the role played by electrostatic interactions in conformational changes in DNA. Transitions of two types are considered: a helix-coil transition and a transition between the ordinary right-hand-helix DNA (the B form) and the recently discovered left-hand-helix (the Z form). In the latter case the theory predicts a nonmonotonic behavior of the difference between the free energies of these conformations as a function of the salt concentration. It also predicts the existence of a critical point of a B-Z equilibrium for ionic strengths in the physiological region.

Fulltext pdf (635 KB)
Fulltext is also available at DOI: 10.1070/PU1987v030n04ABEH002833
PACS: 87.14.Gg, 87.15.Tt, 87.15.He, 87.15.Kg, 87.15.By, 82.35.Rs (all)
DOI: 10.1070/PU1987v030n04ABEH002833
URL: https://ufn.ru/en/articles/1987/4/b/
Citation: Frank-Kamenetskii M D, Anshelevich V V, Lukashin A V "Polyelectrolyte model of DNA" Sov. Phys. Usp. 30 317–330 (1987)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Франк-Каменецкий М Д, Аншелевич В В, Лукашин А В «Полиэлектролитная модель ДНК» УФН 151 595–618 (1987); DOI: 10.3367/UFNr.0151.198704b.0595

References (112) ↓ Cited by (103) Similar articles (20)

  1. A. Rich, A. Nordheim, and A. H.-J. Wang Ann. Rev. Biochem. 53 791 (1984)
  2. F. M. Pohl and T. M. Jovin J. Mol. Biol. 67 375 (1972)
  3. A. H.-J.Wang, G. J. Quigley, F. J. Kolpak, J. L. Crawford, J. H. van Boom, G. van der Marel, and A. Rich Nature 282 680 (1979)
  4. T. M. Jovin, L. Macintosh, H. van de Sande, and D. M. Soumpasis Ann. Rev. Phys. Chem. (1986), (in press)
  5. M. Behe and G. Felsenfeld Proc. Natl. Acad. Sci. USA 78 1619 (1981)
  6. P. K. Latha and S. K. Brachmachari FEBS Lett. 182 315 (1985)
  7. B. G. Feuerstein, L. J. Marton, M. A. Keniry, D. L. Wade, and B. H. Shafer Nucl. Acids Res. 13 4133 (1985)
  8. W. C. Krueger and M. D. Prairie Biopolymers 24 905 (1985)
  9. A. A. Vedenov. A. M. Dykhne, and M. D. Frank-Kamenetski&ibreve; Usp. Fiz. Nauk 105 479 (1971); A. A. Vedenov. A. M. Dykhne, and M. D. Frank-Kamenetski&ibreve; Sov. Phys. Usp. 14 715 (1972)
  10. A. Wada, S. Yabuki, and Y. Husimi CRC Crit. Rev. Biochem. 9 87 (1980)
  11. R. M. Wartell and A. S. Benight Phys. Rept. 126 67 (1985)
  12. V. V. Anshelevich, A. V. Vologodskii, A. V. Lukashin, and M. D. Frank-Kamenetskii Biopolymers 23 39 (1984)
  13. T. L. Hill Statistical Mechanics (McGraw-Hill, New York, 1956), (Russ. transl., IL, M., 1960).
  14. G. V. Ramanathan and C. P. Woodbury J. Chem. Phys. 77 4120 (1982)
  15. S. A. Rice and M. Nagasawa Polyelectrolyte Solutions (Academic Press, Orlando, 1977)
  16. G. V. Ramanathan J. Chem. Phys. 78 3223 (1983)
  17. A. Katzir-Katchalsky Biophysics And Other Topics: Selected Papers (Academic Press, Orlando, 1976)
  18. D. A. Frank-Kamenetski&ibreve; Diffusion And Heat Transfer In Chemical Kinetics (in Russian) (Nauka, M., 1967)
  19. R. M. Fuoss, A. Katchalsky, and S. Lifson Proc. Natl. Acad. Sci. USA 37 579 (1951)
  20. T. Alfrey, P. W. Berg, and H. Morawetz J. Polym. Sci. 7 543 (1951)
  21. M. LeBretand B. Zimm Biopolymers 23 287 (1984)
  22. L. Kotin and M. Nagasawa J. Chem. Phys. 36 873 (1962)
  23. L. Kotin J. Mol. Biol. 7 309 (1963)
  24. A. D. MacGillivray and A. I. MacMullen J. Theor. Biol. 12 75 (1966)
  25. A. D. MacGillivray and A. I. MacMullen J. Theor. Biol. 12 260 (1966)
  26. A. D. MacGillivray J. Chem. Phys. 56 80 (1972)
  27. A. D. MacGillivray J. Chem. Phys. 57 4071 (1972)
  28. D. Stigter J. Colloid And Interface Sci. 53 296 (1975)
  29. J. A. Shellman and S. Stigter Biopolymers 16 1415 (1977)
  30. D. Stigter Biopolymers 16 1435 (1977)
  31. M. Gueron and G. Weisbuch J. Phys. Chem. 83 1991 (1979)
  32. M. Gueron and G. Weisbuch Biopolymers 19 353 (1980)
  33. C. F. Anderson and M. T. Record Biophys. Chem. 11 353 (1980)
  34. G. Weisbuch and M. Gueron J. Phys. Chem. 85 517 (1981)
  35. B. K. Klein, C. F. Anderson, and M. T. Record Biopolymers 20 2263 (1981)
  36. C. F. Anderson and M. T. Record Ann. Rev. Phys. Chem. 33 191 (1982)
  37. J. Granot and D. R. Kearns Biopolymers 21 219 (1982)
  38. M. LeBret J. Chem. Phys. 76 6243 (1982)
  39. M. Fixman J. Chem. Phys. 76 6346 (1982)
  40. W. B. Russel J. Polym. Sci. 20 1233 (1982)
  41. J. Granot Biopolymers 22 1831 (1983)
  42. A. Delville and P. Laszlo Biophys. Chem. 17 119 (1983)
  43. B. J. Klein and G. R. Pack Biopolymers 22 2331 (1983)
  44. G. R. Pack Intern. J. Quant. Chem: Quant. Biol. Symp. 10 61 (1983)
  45. T. Odijk Chem. Phys. Lett. 100 145 (1983)
  46. D. Bratko and D. Dolar J. Chem. Phys. 80 5782 (1984)
  47. L. Belloni, M. Drifford, and P. Turq Chem. Phys. 83 147 (1984)
  48. M. A. Lampert and R. Martinelli Chem. Phys. 88 399 (1984)
  49. G. R. Pack and C. V. Prasad Intern. J. Quant. Chem.: Quant. Biol. Symp. 11 287 (1984)
  50. C. Tanford The Physical Chemistry Of Macromolecules (Wiley Press, New York, 1961), (Russ. transl., Khimiya, M., 1965).
  51. A. R. Khokhlov and K. A. Khachaturian Polymer 23 1742 (1982)
  52. A. R. Kholodenko and K. F. Freed J. Chem. Phys. 78 7412 (1983)
  53. G. S. Manning J. Chem. Phys. 51 924 (1969)
  54. G. S. Manning J. Chem. Phys. 51 3249 (1969)
  55. G. S. Manning Biopolymers 11 937 (1972)
  56. G. S. Manning Biopolymers 11 951 (1972)
  57. G. S. Manning Ann. Rev. Phys. Chem. 23 117 (1972)
  58. J. C. T. Kwak, M. C. O’Brien, and D. A. MacLean J. Phys. Chem. 79 2381 (1975)
  59. G. S. Manning Biophys. Chem. 7 95 (1977)
  60. N. Ise and T. Okubo Macromolecules 11 439 (1978)
  61. M. Kowblansky, M. Tomasula, and P. Ander J. Phys. Chem. 82 1491 (1978)
  62. Y. M. Joshi and J. C. T. Kwak J. Phys. Chem. 83 1978 (1979)
  63. M. T. Record, C. F. Anderson, and T. M. Lohman Quart. Rev. Biophys. 11 103 (1978)
  64. G. S. Manning Quart. Rev. Biophys. 11 179 (1978)
  65. R. Trifiletti and P. Ander Macromolecules 12 1197 (1979)
  66. G. S. Manning Ace. Chem. Res. 12 443 (1979)
  67. R. W. Wilson and V. A. Bloomfield Biochemistry 18 2192 (1979)
  68. G. S. Manning J. Phys. Chem. 88 6654 (1984)
  69. S. Paoletti, O. Smidsrod, and H. Grasdalen Biopolymers 23 1771 (1984)
  70. M. Satoh, J. Komiyama, and T. Iijima Macromolecules 18 1195 (1985)
  71. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller J. Chem. Phys. 21 1087 (1953)
  72. K. Binder (ed.) Monte Carlo Methods In Statistical Physics (Springer-Verlag, New York, 1979), (Russ. transl., Mir, Moscow, 1982).
  73. D. Bratko and V. Vlachy Chem. Phys. Lett. 90 434 (1982)
  74. M. LeBret and B. Zimm Biopolymers 23 271 (1984)
  75. C. S. Murthy, R. J. Bacquet, and P. J. Rossky J. Phys. Chem. 89 701 (1985)
  76. P. Mills, C. F. Anderson, and M. T. Record J. Phys. Chem. 89 3984 (1985)
  77. M. Fixman J. Chem. Phys. 70 4995 (1979)
  78. G. V. Ramanathan and C. P. Woodbury J. Chem. Phys. 77 4133 (1982)
  79. R. J. Bacquet and P. J. Rossky J. Phys. Chem. 88 2660 (1984)
  80. V. V. Anshelevich, A. V. Lukashin, and M. D. Frank-Kamenetski&ibreve; Chem. Phys. 91 225 (1984)
  81. M. A. Lampert Biopolymers 21 159 (1982)
  82. B. Zimm and M. LeBret J. Biomol. Struct. Dyn. 1 461 (1983)
  83. M. Tricot Macromolecules 17 1698 (1984)
  84. C. DeLisi and D. M. Crothers Biopolymers 10 2323 (1971)
  85. C. R. Cantor and P. R. Schimmel Biophysical Chemistry (Freeman, San Francisco, 1980), (Russ. transl., Mir, M., Ch. 22).
  86. P. L. Privalov, O. B. Ptitsyn, and T. M. Birshtein Biopolymers 8 559 (1969)
  87. D. W. Gruenwedel Biochem. And Biophys. Acta 340 16 (1974)
  88. D. R. Monaselidze and G. N. Mgeladze Biofizika 22 950 (1977)
  89. H. Frohlich Theory Of Dielectrics (Clarendon Press, Oxford, 1958), (Russ. transl., IL, M., 1960).
  90. D. Eisenbergand W. Kazmann The Structure And Properties Of Water (Clarendon Press, Oxford, 1964)
  91. M. D. Frank-Kamenetski&ibreve; Biopolymers 10 2623 (1971)
  92. P. J. Hagerman Biopolymers 20 1503 (1981)
  93. M. D. Frank-Kamenetski&ibreve;, A. V. Lukashin, and V. V. Anshelevich J. Biomol. Struct. Dyn. 3 35 (1985)
  94. L. J. Peck and J. C. Wang Nature 292 375 (1981)
  95. D.S. Horowitz and J. C.Wang J. Mol. Biol. 173 75 (1984)
  96. J. C. Wang, L. J. Peck, and K. Becherer Cold Spring Harb. Symp. Quant. Biol. 47 85 (1983)
  97. L. J. Peck and J. C. Wang Proc. Natl. Acad. Sci. USA 80 6206 (1983)
  98. I. Panyutin, V. Lyamichev, and S. Mirkin J. Biomol. Struct. Dyn. 2 1221 (1985)
  99. B. Malfoy, B. Hartmann, and M. Leng Nucl. Acids Res. 9 5659 (1981)
  100. H. H. Chen, M. J. Behe, and D. C. Rau Nucl. Acids Res. 12 2381 (1984)
  101. T. J. Thomas and V. A. Bloomfield Biochemistry 24 713 (1985)
  102. M. J. Behe, G. Felsenfeld, S. C. Szu, and E. Cnarney Biopolymers 24 289 (1985)
  103. A. Woisard, W. Guschelbauer, and G. V. Fazakerley Nucl. Acids Res. 14 3515 (1986)
  104. G. R. Pack Intern. J. Quant. Chem.: Quant. Biol. Symp. 9 81 (1982)
  105. D. M. Soumpasis Proc. Natl. Acad. Sci. USA 81 5116 (1984)
  106. J. B. Matthew and F. M. Richards Biopolymers 23 2743 (1984)
  107. G. R. Pack and B. J. Klein Biopolymers 23 2801 (1984)
  108. E. Clementi In: Structure And Dynamics: Nucleic Acids And Proteins (ed. E. Clementi and R.H. Sarma) (Adenine Press, New York, 1983) p. 321
  109. O. L. Olatunji and S. Premilat Biochem. And Biophys. Res. Commun. 126 247 (1985)
  110. J. L. Finney, J. M. Goodfellow, P. L. Howell, and F.Vovelle J. Biomol. Struct. Dyn. 3 599 (1985)
  111. U. C. Singh, S. J. Weiner, and P. A. Kollman Proc. Natl. Acad. Sci. USA 82 755 (1985)
  112. G. L. Seibel, U. C. Singh, and P. A. Kollman Proc. Natl. Acad. Sci. USA 82 6537 (1985)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions