Выпуски

 / 

1981

 / 

Август

  

Обзоры актуальных проблем


Топологические аспекты физики полимеров: теория и ее биофизические приложения

Содержание: Введение. Кольцевые замкнутые ДНК. Кольцевая форма ДНК и ее биологическая роль. Суперспирали- зация и ее влияние на свойства КЗ ДНК. Теория узлов и зацеплений. Статистический интеграл для замкнутых цепей. Классификация узлов и зацеплений. Алгебраические инварианты узлов и зацеплений. Теория полос. Расчеты методом Монте-Карло. Методы расчета. Результаты расчетов. Приложения теории к кольцевым ДНК. Распределение кольцевых замкнутых ДНК по топоизомерам. Узлы и катенаны. Заключение. Цитированная литература.

Текст pdf (2,2 Мб)
English fulltext is available at DOI: 10.1070/PU1981v024n08ABEH004835
PACS: 36.20.Fz, 87.15.By (все)
DOI: 10.3367/UFNr.0134.198108c.0641
URL: https://ufn.ru/ru/articles/1981/8/c/
Цитата: Франк-Каменецкий М Д, Вологодский А В "Топологические аспекты физики полимеров: теория и ее биофизические приложения" УФН 134 641–673 (1981)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

English citation: Frank-Kamenetskii M D, Vologodskii A V “Topological aspects of the physics of polymers: The theory and its biophysical applicationsSov. Phys. Usp. 24 679–696 (1981); DOI: 10.1070/PU1981v024n08ABEH004835

Статьи, ссылающиеся на эту (144) ↓ Похожие статьи (20)

  1. Qiu Q-Yu, Zhu Y-J et al Chin J Polym Sci 42 2030 (2024)
  2. Wang Yu, Lu L et al Macromolecules (2024)
  3. Lu L, Qiu Q et al Macromolecules 57 5330 (2024)
  4. Panyukov S V Polym. Sci. Ser. C 65 27 (2023)
  5. Dai L Sci. Sin.-Chim 53 693 (2023)
  6. Ozmaian M, Makarov D E, Yong X PLoS ONE 18 e0287200 (2023)
  7. Yadav I, Al S D, Doyle P S Phys. Rev. Research 5 (1) (2023)
  8. Panyukov S V Vysokomolekulârnye soedineniâ. Seriâ C 65 31 (2023)
  9. Zhu Y, Zhu H et al Phys. Rev. E 105 (2) (2022)
  10. Gavrilik A M, Pavlyuk A M Ukr. J. Phys. 56 680 (2022)
  11. Chu Ch-Ch, Hsiao P-Y Polymers 15 198 (2022)
  12. Zhu H, Tian F et al Macromolecules 54 1623 (2021)
  13. Elnikova L V, Ozerin A N et al J. Surf. Investig. 15 885 (2021)
  14. Dai L Macromolecules 54 9299 (2021)
  15. Dai L Phys. Rev. Research 2 (2) (2020)
  16. Türker O, van den Brink Je et al Phys. Rev. D 102 (3) (2020)
  17. Vandans O, Yang K et al Phys. Rev. E 101 (2) (2020)
  18. Melnikov D, Niemi A J, Sedrakyan A Sci Rep 9 (1) (2019)
  19. Sossinsky A B Russ. J. Math. Phys. 25 241 (2018)
  20. Dandoloff R Springer Series in Solid-State Sciences Vol. The Role of Topology in MaterialsTopology and Geometry in Condensed Matter189 Chapter 2 (2018) p. 35
  21. Dai L, Doyle P Polymers 9 57 (2017)
  22. Jain A, Dorfman K D 11 (2) (2017)
  23. Mj M Texts and Readings in Physical Sciences Vol. Topology and Condensed Matter PhysicsSpecial Topics: A Crash Course on Knots19 Chapter 7 (2017) p. 143
  24. Nechaev S Texts and Readings in Physical Sciences Vol. Topology and Condensed Matter PhysicsConcepts of polymer statistical topology19 Chapter 15 (2017) p. 359
  25. Dai L, Doyle P S Macromolecules 49 7581 (2016)
  26. Plunkett (nee Zirbel) Laura, Chapman K J. Phys. A: Math. Theor. 49 135203 (2016)
  27. Krajina Brad A, Spakowitz Andrew J Biophysical Journal 111 1339 (2016)
  28. Zhulina E B, Leermakers F A M, Borisov O V Macromolecules 49 8758 (2016)
  29. Lepage T, Képès F, Junier I Biophysical Journal 109 135 (2015)
  30. Dai L, Renner C B, Doyle P S Phys. Rev. Lett. 114 (3) (2015)
  31. Zhang B, Wolynes P G Proc. Natl. Acad. Sci. U.S.A. 112 6062 (2015)
  32. Biophysics of DNA 1 6 (2015) p. 184
  33. Dandoloff R Advances in Condensed Matter Physics 2015 1 (2015)
  34. Dai L, Renner C B, Doyle P S Macromolecules 48 2812 (2015)
  35. Raposo A N, Gomes Abel JP BMC Bioinformatics 15 (1) (2014)
  36. Seč D, Čopar S, Žumer S Nat Commun 5 (1) (2014)
  37. Haug N, Nechaev S, Tamm M J. Stat. Mech. 2014 P10013 (2014)
  38. Bohr Ja, Olsen K W Phys. Rev. E 88 (5) (2013)
  39. Marko J F J Stat Phys 142 1353 (2011)
  40. Dolgushev M, Berezovska G, Blumen A 135 (9) (2011)
  41. Tubiana L, Orlandini E, Micheletti C Phys. Rev. Lett. 107 (18) (2011)
  42. Fuereder I, Zifferer G 135 (18) (2011)
  43. Medalion Sh, Rappaport Sh M, Rabin Y 132 (4) (2010)
  44. Zheng X, Vologodskii A Phys. Rev. E 81 (4) (2010)
  45. Makarov L I J Struct Chem 50 910 (2009)
  46. Polym. Sci. Ser. A 51 49 (2009)
  47. Marko J F Phys. Rev. E 79 (5) (2009)
  48. Laso M, Karayiannis N Ch et al Soft Matter 5 1762 (2009)
  49. Vologodskii A, Rybenkov V V Phys. Chem. Chem. Phys. 11 10543 (2009)
  50. MILLETT KENNETH C, PIATEK MICHAEL, RAWDON ERIC J J. Knot Theory Ramifications 17 601 (2008)
  51. Lipatov Yu S, Alekseeva T T Advances in Polymer Science Vol. Phase-Separated Interpenetrating Polymer NetworksPhase-Separated Interpenetrating Polymer Networks208 Chapter 116 (2007) p. 1
  52. Mansfield M L 127 (24) (2007)
  53. Vologodskii A Topology in Molecular Biology Biological and Medical Physics, Biomedical Engineering Chapter 3 (2007) p. 23
  54. Frank-Kamenetskii M D NATO Science Series II: Mathematics, Physics and Chemistry Vol. Advances in Sensing with Security ApplicationsPHYSICS OF DNA218 Chapter 10 (2006) p. 295
  55. Moore N T, Grosberg A Y J. Phys. A: Math. Gen. 39 9081 (2006)
  56. Starostin E L J. Phys.: Condens. Matter 18 S187 (2006)
  57. Charvin G, Vologodskii A et al Biophysical Journal 88 4124 (2005)
  58. Lua R, Borovinskiy A L, Grosberg A Yu Polymer 45 717 (2004)
  59. Pieranski P, Baranska Ju, Skjeltorp A Eur. J. Phys. 25 613 (2004)
  60. Grosberg A, Frisch H J. Phys. A: Math. Gen. 36 8955 (2003)
  61. Hoffman K A, Manning R S, Maddocks J H Biopolymers 70 145 (2003)
  62. Huang J, Zhang Q, Schlick T Biophysical Journal 85 804 (2003)
  63. Vologodskii A V Cyclic Polymers Chapter 2 (2002) p. 47
  64. Maggs A C 114 5888 (2001)
  65. Vasilyev O A, Nechaev S K J. Exp. Theor. Phys. 93 1119 (2001)
  66. Differential Geometry and Topology of Curves (2001) p. 199
  67. Plewa J S, Witten T A 112 10042 (2000)
  68. Klenin K, Langowski J Biopolymers 54 307 (2000)
  69. Nechaev S Les Houches - Ecole d’Ete de Physique Theorique Vol. Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional systemsStatistics of Knots and Entangled Random Walks69 Chapter 9 (1999) p. 643
  70. Kozhevnikov A A Phys. Rev. D 59 (8) (1999)
  71. Marko J F Phys. Rev. E 59 900 (1999)
  72. Klenin K, Merlitz H, Langowski J Biophysical Journal 74 780 (1998)
  73. Gebe J A, Schurr J M Biopolymers 38 493 (1998)
  74. Nechaev S K Uspekhi Fizicheskikh Nauk 168 369 (1998)
  75. Finkelstein A V, Badretdinov A Ya Folding and Design 3 67 (1998)
  76. Rybenkov V V, Vologodskii A V, Cozzarelli N R Journal of Molecular Biology 267 312 (1997)
  77. Chechetkin V R Physics Letters A 233 151 (1997)
  78. Jian H, Vologodskii A V, Schlick T Journal of Computational Physics 136 168 (1997)
  79. Rybenkov V V, Vologodskii A V, Cozzarelli N R Journal of Molecular Biology 267 299 (1997)
  80. Grosberg A Yu Успехи физических наук 167 129 (1997) [Grosberg A Yu Phys.-Usp. 40 125 (1997)]
  81. Finkelstein A V, Badretdinov A Ya Folding and Design 2 115 (1997)
  82. Marko J F Phys. Rev. E 55 1758 (1997)
  83. Irzhak V I, Korolev G V, Solov’ev M E Russ. Chem. Rev. 66 167 (1997)
  84. Frank-Kamenetskii M D Physics Reports 288 13 (1997)
  85. Sato M Physics Letters B 376 41 (1996)
  86. Katritch V, Bednar Ja et al Nature 384 142 (1996)
  87. Olson W K, Westcott T P et al The IMA Volumes in Mathematics and its Applications Vol. Mathematical Approaches to Biomolecular Structure and DynamicsComputational Studies of Spatially Constrained DNA82 Chapter 12 (1996) p. 195
  88. Chirico G, Baldini G 104 6009 (1996)
  89. Brereton M G Journal of Molecular Structure: THEOCHEM 336 191 (1995)
  90. Frank-Kamenetskii M D Journal of Molecular Structure: THEOCHEM 336 235 (1995)
  91. Brereton M G, Vilgis T A J. Phys. A: Math. Gen. 28 1149 (1995)
  92. Vologodskii A, Cozzarelli N Biopolymers 35 289 (1995)
  93. Kozhevnikov A A Phys. Rev. D 52 6043 (1995)
  94. Sato M, Yahikozawa Sh Nuclear Physics B 436 100 (1995)
  95. Rabin Y, Grosberg A Yu, Tanaka T Europhys. Lett. 32 505 (1995)
  96. Brereton M, Vilgis T A Macromolecular Symposia 87 171 (1994)
  97. Clendenning Ja B, Schurr J M Biopolymers 34 849 (1994)
  98. Schlick T, Olson W K et al Biopolymers 34 565 (1994)
  99. Levene S D Nucleic Acids and Molecular Biology Vol. Nucleic Acids and Molecular BiologyConformation and Energetics of Supercoiled DNA: Experimental and Theoretical Studies8 Chapter 6 (1994) p. 119
  100. Shaw S Y, Wang Ja C Science 260 533 (1993)
  101. Grosberg A, Nechaev S Advances in Polymer Science Vol. Polymer CharacteristicsPolymer topology106 Chapter 1 (1993) p. 1
  102. Nesterenko V V Class. Quantum Grav. 9 1101 (1992)
  103. Imai N, Ishikawa K, Tanaka I Progress of Theoretical Physics 88 351 (1992)
  104. Grosberg A, Nechaev S Europhys. Lett. 20 613 (1992)
  105. Schlick T, Olson W K Science 257 1110 (1992)
  106. Schlick T, Olson W K Journal of Molecular Biology 223 1089 (1992)
  107. van de Wetering J F W H Nuclear Physics B 379 172 (1992)
  108. Vologodskii A V, Frank-Kamenetskii M D Methods in Enzymology Vol. DNA Structures Part A: Synthesis and Physical Analysis of DNA[23] Modeling supercoiled DNA211 (1992) p. 467
  109. Govindarajan T R, Shankar R et al Phys. Rev. Lett. 69 721 (1992)
  110. Vologodskii A V, Levene S D et al Journal of Molecular Biology 227 1224 (1992)
  111. Forte S Rev. Mod. Phys. 64 193 (1992)
  112. Forte S Physics Letters B 253 403 (1991)
  113. Olson W K, Zhang P Methods in Enzymology Vol. Molecular Design and Modeling: Concepts and Applications Part B: Antibodies and Antigens, Nucleic Acids, Polysaccharides, and Drugs[21] Computer simulation of DNA supercoiling203 (1991) p. 403
  114. Koniaris K, Muthukumar M 95 2873 (1991)
  115. Lavrov P M, Mudruk V I Theor Math Phys 86 235 (1991)
  116. Hearst J E, Hunt N G 95 9322 (1991)
  117. Wasserman S A, Cozzarelli N R Journal of Biological Chemistry 266 20567 (1991)
  118. Klenin K V, Vologodskii A V et al Journal of Molecular Biology 217 413 (1991)
  119. Frank-Kamenetskii M NATO ASI Series Vol. Biologically Inspired PhysicsDNA Topology263 Chapter 4 (1991) p. 45
  120. Khokhlov A R, Ternovsky F F, Zheligovskaya E A Physica A: Statistical Mechanics and its Applications 163 747 (1990)
  121. Grundberg J, Hansson T H, Karlhede A Nuclear Physics B 347 420 (1990)
  122. Grundberg J, Hansson T H et al Physics Letters B 218 321 (1989)
  123. Klenin K V, Vologodskii A V et al Journal of Biomolecular Structure and Dynamics 6 707 (1989)
  124. Michels J P J, Wiegel F W J. Phys. A: Math. Gen. 22 2393 (1989)
  125. Tze Ch-H, Nam S Annals of Physics 193 419 (1989)
  126. Brooks R Nuclear Physics B 320 440 (1989)
  127. Heinrich G, Straube E, Helmis G Advances in Polymer Science Vol. Polymer PhysicsRubber elasticity of polymer networks: Theories85 Chapter 2 (1988) p. 33
  128. Klenin K V, Vologodskii A V et al Journal of Biomolecular Structure and Dynamics 5 1173 (1988)
  129. Zheligovskaya E A, Ternovskii F F, Khokhlov A R Theor Math Phys 75 644 (1988)
  130. Grosberg A Yu, Nechaev S K, Shakhnovich E I J. Phys. France 49 2095 (1988)
  131. Semenov A N J. Phys. France 49 1353 (1988)
  132. Klenin K V, Vologodskii A V et al Biopolym. Cell 4 85 (1988)
  133. Semenov A N J. Phys. France 49 175 (1988)
  134. Yel’yashevich A M, Ladyzhinskii I Ya Polymer Science U.S.S.R. 29 2611 (1987)
  135. Wiegel F W, Michels J P J J. Phys. A: Math. Gen. 20 4653 (1987)
  136. Finkelstein A V, Ptitsyn O B Progress in Biophysics and Molecular Biology 50 171 (1987)
  137. SLANINA ZDENËK Symmetry (1986) p. 585
  138. Pakhomov D V, Vologodskii A V Biopolym. Cell 2 240 (1986)
  139. Slanina Z Computers & Mathematics with Applications 12 585 (1986)
  140. Monastyrsky M I, Retakh V S Commun.Math. Phys. 103 445 (1986)
  141. Lazurkin Yu S Biopolym. Cell 2 283 (1986)
  142. Grosberg A Yu, Zhestkov A V Journal of Biomolecular Structure and Dynamics 3 515 (1985)
  143. Frank-Kamenetskii M D, Lukashin A V et al Journal of Biomolecular Structure and Dynamics 2 1005 (1985)
  144. Turkkan N, Jankowski K, Brostow W Journal of Molecular Structure: THEOCHEM 110 255 (1984)

© Успехи физических наук, 1918–2024
Электронная почта: ufn@ufn.ru Телефоны и адреса редакции О журнале Пользовательское соглашение