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Global analysis of the ground-state wrapping conformation of a charged polymer on an oppositely charged nano-sphere

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Abstract.

We investigate the wrapping conformations of a single, strongly adsorbed polymer chain on an oppositely charged nano-sphere by employing a reduced (dimensionless) representation of a primitive chain-sphere model. This enables us to determine the global behavior of the chain conformation in a wide range of values for the system parameters including the chain contour length, its linear charge density and persistence length as well as the nano-sphere charge and radius, and also the salt concentration in the bathing solution. The structural behavior of a charged chain-sphere complex can be described in terms of a few distinct conformational symmetry classes separated by continuous or discontinuous transition lines which are determined by means of appropriately defined (order) parameters. Our results can be applied to a wide class of strongly coupled polymer-sphere complexes including, for instance, complexes that comprise a mechanically flexible or semiflexible polymer chain or an extremely short or long chain and, as a special case, include the biologically relevant example of DNA-histone complexes.

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References

  1. J.K. Strauss, L.J. Maher, Science 266, 1829 (1994)

    ADS  Google Scholar 

  2. J. Xia, P.L. Dubin, H. Dautzenberg, Langmuir 9, 2015 (1993)

    Google Scholar 

  3. P.Haronska, T.A. Vilgis, R.Grottenmüller, M.Schmidt, Macromol. Theor. Simul. 7, 241 (1998)

    Google Scholar 

  4. F. Ganachaud, A. Elaissari, C. Pichot, A. Laayoun, P. Cros, Langmuir 13, 701 (1997)

    Google Scholar 

  5. D.I. Gittins, F. Caruso, J. Phys. Chem. B 105, 6846 (2001)

    Google Scholar 

  6. D.I. Gittins, F. Caruso, Adv. Mater. 12, 1947 (2000)

    Google Scholar 

  7. P.L. Dubin, D.R. Rigsbee, L.-M. Gan, M.A. Fallon, Macromolecules 21, 2555 (1988)

    ADS  Google Scholar 

  8. D.W. McQuigg, J.I. Kaplan, P.L. Dubin, J. Phys. Chem. 96, 1973 (1992)

    Google Scholar 

  9. P.L. Dubin, M.E. Curran, J. Hua, Langmuir 6, 707 (1990)

    Google Scholar 

  10. Y. Li, P.L. Dubin, H.A. Havel, S.L. Edwards, H. Dautzenberg, Langmuir 11, 2486 (1995)

    Google Scholar 

  11. A.U. Bielinska, J.F. Kukowska-Latallo, J.R. Baker Jr., Biochim. Biophys. Acta 1353, 180 (1997)

    Google Scholar 

  12. Q. Cao, M. Bachmann, Soft Matter 9, 5087 (2013)

    ADS  Google Scholar 

  13. Q. Cao, M. Bachmann, Chem. Phys. Lett. 586, 51 (2013)

    ADS  Google Scholar 

  14. J. Israelachvili, Intermolecular and Surface Forces (Academic Press, London, 1991)

  15. H. Dautzenberg, W. Jaeger, B.P.J. Kötz, C. Seidel, D. Stscherbina, Polyelectrolytes: Formation, characterization and application (Hanser Publishers, New York, 1994)

  16. G.B. Sukhorukov, E. Donath, S. Davis, H. Lichtenfeld, F. Cauruso, V.I. Popov, H. Möhwald, Polym. Adv. Technol. 89, 759 (1998)

    Google Scholar 

  17. J. Rieger, E. Hädicke, I.U. Rau, D. Boeckh, Tenside Surf. Det. 34, 430 (1997)

    Google Scholar 

  18. B. Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts, P. Walter, Molecular Biology of The Cell (Garland Science, New York, 2002)

  19. H. Schiessel, J. Phys.: Condens. Matter 15, R699 (2003)

    ADS  Google Scholar 

  20. H. Schiessel, W.M. Gelbart, R. Bruinsma, Biophys. J. 80, 1940 (2001)

    Google Scholar 

  21. R.D. Kornberg, A. Klug, Sci. Am. 244, 48 (1981)

    Google Scholar 

  22. K. Luger, T.J. Richmond, Curr. Opin. Struct. Biol. 8, 33 (1998)

    Google Scholar 

  23. J. Widom, J. Mol. Biol. 190, 411 (1986)

    Google Scholar 

  24. J. Yao, P.T. Lowary, J. Widom, Proc. Natl. Acad. Sci. U.S.A. 87, 7603 (1990)

    ADS  Google Scholar 

  25. K. van Holde, Nature 362, 111 (1993)

    ADS  Google Scholar 

  26. F. Thoma, TH. Koller, A. Klug, J. Cell Biol. 83, 403 (1979)

    Google Scholar 

  27. J. Allan, T. Mitchell, N. Harborne, L. Boehm, C. Crane-Robinson, J. Mol. Biol. 187, 591 (1986)

    Google Scholar 

  28. C.L. Woodcock, S.A. Grigoryev, R.A. Horowitz, N.Whitaker, Proc. Natl. Acad. Sci. U.S.A. 90, 7603 (1993)

    Google Scholar 

  29. J. Bednar, R.A. Horowitz, S.A. Grigoryev, L.M. Carruthers, J.C. Hansen, A.J. Koster, C.L. Woodcock, Proc. Natl. Acad. Sci. U.S.A. 95, 14173 (1998)

    ADS  Google Scholar 

  30. R.A. Horowitz, D.A. Agard, J.W. Sedat, C.L. Woodcock, J. Cell Biol. 125, 1 (1994)

    Google Scholar 

  31. S.E. Gerchman, V. Ramakrishnan, Proc. Natl. Acad. Sci. U.S.A. 84, 7802 (1987)

    ADS  Google Scholar 

  32. H. Boroudjerdi, A. Naji, R.R. Netz, Eur. Phys. J. E 34, 72 (2011)

    Google Scholar 

  33. R. Messina, C. Holm, K. Kremer, J. Polym. Sci. Part B: Polym. Phys. 42, 3557 (2004)

    ADS  Google Scholar 

  34. R. Messina, J. Phys.: Condens. Matter 21, 113102 (2009)

    ADS  Google Scholar 

  35. A.G. Cherstvy, Phys. Chem. Chem. Phys. 13, 9942 (2011)

    Google Scholar 

  36. J. Faraudo, A. Martin-Molina, Curr. Opin. Colloid Interface Sci. 18, 517 (2013)

    Google Scholar 

  37. K.K. Kunze, R.R. Netz, Phys. Rev. Lett. 85, 4389 (2000)

    ADS  Google Scholar 

  38. K.K. Kunze, R.R. Netz, Phys. Rev. E 66, 011918 (2002)

    ADS  Google Scholar 

  39. H. Boroudjerdi, R.R. Netz, Europhys. Lett. 64, 413 (2003)

    ADS  Google Scholar 

  40. H. Boroudjerdi, R.R. Netz, Europhys. Lett. 71, 1022 (2005)

    ADS  Google Scholar 

  41. H. Boroudjerdi, R.R. Netz, J. Phys.: Condens. Matter 17, S1137 (2005)

    ADS  Google Scholar 

  42. H. Boroudjerdi, Y.-W. Kim, A. Naji, R.R. Netz, X. Schlagberger, A. Serr, Phys. Rep. 416, 129 (2005)

    ADS  Google Scholar 

  43. A. Naji, M. Kanduč, J. Forsman, R. Podgornik, J. Chem. Phys. 139, 150901 (2013)

    ADS  Google Scholar 

  44. H. Boroudjerdi, Charged Polymer-Macroion Complexes, PhD thesis (Potsdam University, Potsdam, Germany, 2005)

  45. T.D. Yager, K.E. van Holde, J. Biol. Chem. 259, 4212 (1984)

    Google Scholar 

  46. T.D. Yager, C.T. McMurray, K.E. van Holde, Biochemistry 28, 2271 (1989)

    Google Scholar 

  47. R. de Vries, M.C. Stuart, Curr. Opin. Colloid Interface Sci. 11, 295 (2006)

    Google Scholar 

  48. F. von Goeler, M. Muthukumar, J. Chem. Phys. 100, 7796 (1994)

    ADS  Google Scholar 

  49. E. Gurovitch, P. Sens, Phys. Rev. Lett. 82, 339 (1999)

    ADS  Google Scholar 

  50. E.M. Mateescu, C. Jeppesen, P. Pincus, Europhys. Lett. 46, 493 (1999)

    ADS  Google Scholar 

  51. S.Y. Park, R.F. Bruinsma, W.M. Gelbart, Europhys. Lett. 46, 454 (1999)

    ADS  Google Scholar 

  52. R.R. Netz, J.F. Joanny, Macromolecules 32, 9026 (1999)

    ADS  Google Scholar 

  53. K.-K. Kunze, R.R. Netz, Phys. Rev. Lett. 85, 4389 (2000)

    ADS  Google Scholar 

  54. T.T. Nguyen, B.I. Shklovskii, Physica A 293, 324 (2001)

    ADS  Google Scholar 

  55. H. Schiessel, Macromolecules 36, 3424 (2003)

    ADS  Google Scholar 

  56. A.G. Cherstvy, R.G. Winkler, J. Phys. Chem. B 109, 2962 (2005)

    Google Scholar 

  57. R.G. Winkler, A.G. Cherstvy, Phys. Rev. Lett. 96, 066103 (2006)

    ADS  Google Scholar 

  58. A.G. Cherstvy, R.G. Winkler, J. Chem. Phys. 125, 064904 (2006)

    ADS  Google Scholar 

  59. R.G. Winkler, A.G. Cherstvy, J. Phys. Chem. B 111, 8486 (2007)

    Google Scholar 

  60. A.G. Cherstvy, R.G. Winkler, Phys. Chem. Chem. Phys. 13, 11686 (2011)

    Google Scholar 

  61. A.G. Cherstvy, R.G. Winkler, J. Phys. Chem. B 116, 9838 (2012)

    Google Scholar 

  62. A.I. Chervanyova, G. Heinrich, J. Chem. Phys. 131, 104905 (2009)

    ADS  Google Scholar 

  63. Z. Wang, B. Li, D. Ding, Q. Wang, Macromolecules 44, 8607 (2011)

    ADS  Google Scholar 

  64. T. Wallin, P. Linse, Langmuir 12, 305 (1996)

    Google Scholar 

  65. T. Wallin, P. Linse, J. Phys. Chem. 100, 17873 (1996)

    Google Scholar 

  66. T. Wallin, P. Linse, J. Phys. Chem. B 101, 5506 (1997)

    Google Scholar 

  67. C.Y. Kong, M. Muthukumar, J. Chem. Phys. 109, 1522 (1998)

    ADS  Google Scholar 

  68. M. Jonsson, P. Linse, J. Chem. Phys. 115, 3406 (2001)

    ADS  Google Scholar 

  69. M. Jonsson, P. Linse, J. Chem. Phys. 115, 10975 (2001)

    ADS  Google Scholar 

  70. P. Chodanowski, S. Stoll, Macromolecules 34, 2320 (2001)

    ADS  Google Scholar 

  71. P. Chodanowski, S. Stoll, J. Chem. Phys. 115, 4951 (2001)

    ADS  Google Scholar 

  72. P. Chodanowski, S. Stoll, Macromolecules 35, 9556 (2002)

    ADS  Google Scholar 

  73. F. Carnal, S. Stoll, J. Phys. Chem. B 115, 12007 (2011)

    Google Scholar 

  74. A. Akinchina, P. Linse, Macromolecules 35, 5183 (2002)

    ADS  Google Scholar 

  75. J. Dzubiella, A.G. Moreira, P.A. Pincus, Macromolecules 36, 1741 (2003)

    ADS  Google Scholar 

  76. P.K. Maiti, B. Bagchi, Nano Lett. 6, 2478 (2006)

    ADS  Google Scholar 

  77. F. Carlsson, P. Linse, M. Malmsten, J. Phys. Chem. B 105, 9040 (2001)

    Google Scholar 

  78. R. Messina, C. Holm, K. Kremer, Langmuir 19, 4473 (2003)

    Google Scholar 

  79. T. Wallin, P. Linse, J. Chem. Phys. 109, 5089 (1998)

    ADS  Google Scholar 

  80. J. Ausio, D. Seger, H. Eisenberg, J. Mol. Biol. 176, 77 (1984)

    Google Scholar 

  81. G. Russev, L. Vassilev, R. Tsanev, Mol. Biol. Rep. 6, 45 (1980)

    Google Scholar 

  82. A.E. Dieterich, R. Axel, C.R. Cantor, J. Mol. Biol. 120, 587 (1979)

    Google Scholar 

  83. D.W. Brown, L.J. Libertini, E.W. Small, Biochemistry 30, 5293 (1991)

    Google Scholar 

  84. L.J. Libertini, E.W. Small, Nucl. Acids Res. 8, 3517 (1980)

    Google Scholar 

  85. L.J. Libertini, E.W. Small, Biochemistry 21, 3327 (1982)

    Google Scholar 

  86. L.J. Libertini, E.W. Small, Nucl. Acids Res. 15, 6655 (1987)

    Google Scholar 

  87. I. Oohara, A. Wada, J. Mol. Biol. 196, 399 (1987)

    Google Scholar 

  88. W.O. Weischet, K. Tatchell K.E. van Holde, H. Klump, Nucl. Acids Res. 5, 139 (1978)

    Google Scholar 

  89. M. Skepö, P. Linse, Macromolecules 36, 508 (2003)

    ADS  Google Scholar 

  90. D.S. Dean, T.C. Hammant, R.R. Horgan, A. Naji, R. Podgornik, J. Chem. Phys. 137, 144904 (2012)

    ADS  Google Scholar 

  91. T.T. Nguyen, B.I. Shklovskii, Physica A 293, 324 (2001)

    ADS  Google Scholar 

  92. T.T. Nguyen, A.Y. Grosberg, B.I. Shklovskii, J. Chem. Phys. 113, 1110 (2000)

    ADS  Google Scholar 

  93. T.T. Nguyen, B.I. Shklovskii, J. Chem. Phys. 114, 5905 (2001)

    ADS  Google Scholar 

  94. T.T. Nguyen, B.I. Shklovskii, J. Chem. Phys. 115, 7298 (2001)

    ADS  Google Scholar 

  95. A.Yu. Grosberg, T.T. Nguyen, B.I. Shklovskii, Rev. Mod. Phys. 74, 329 (2002)

    ADS  Google Scholar 

  96. H. Schiessel, R.F. Bruinsma, W.M. Gelbart, J. Chem. Phys. 115, 7245 (2001)

    ADS  Google Scholar 

  97. P. Sens, J.-F. Joanny, Phys. Rev. Lett. 84, 4862 (2000)

    ADS  Google Scholar 

  98. H. Schiessel, J. Rudnick, R.F. Bruinsma, W.M. Gelbart, Europhys. Lett. 51, 237 (2000)

    ADS  Google Scholar 

  99. H. Schiessel, Macromolecules 36, 3424 (2003)

    ADS  Google Scholar 

  100. N.L. Marky, G.S. Manning, J. Mol. Biol. 254, 50 (1995)

    Google Scholar 

  101. R. Golestanian, Phys. Rev. Lett. 83, 2473 (1999)

    ADS  Google Scholar 

  102. R. Podgornik, J. Polym. Sci. Part B: Polym. Phys. 42, 3539 (2004)

    ADS  Google Scholar 

  103. R.R. Netz, H. Orland, Eur. Phys. J. E 11, 301 (2003)

    Google Scholar 

  104. J. Skolnick, M. Fixman, Macromolecules 10, 944 (1977)

    ADS  Google Scholar 

  105. T. Odijk, J. Polym. Sci. 15, 477 (1977)

    Google Scholar 

  106. M. Fixman, J. Chem. Phys. 76, 6346 (1982)

    ADS  Google Scholar 

  107. T. Odijk, Macromolecules 28, 7016 (1995)

    ADS  Google Scholar 

  108. A.R. Khokhlov, J. Phys. A: Math. Gen. 13, 979 (1980)

    ADS  Google Scholar 

  109. R.R. Netz, J.-F. Joanny, Macromolecules 32, 9013 (1999)

    ADS  Google Scholar 

  110. R.R. Netz, J.-F. Joanny, Macromolecules 31, 5123 (1998)

    ADS  Google Scholar 

  111. E.S. Sobel, J.A. Harpst, Biopolymers 31, 1559 (1991)

    Google Scholar 

  112. C. Frontali, E. Dore, A. Ferrauto, E. Gratton, Biopolymers 18, 1353 (1979)

    Google Scholar 

  113. M. Rief, H. Clausen-Schaumann, H. Gaub, Nat. Struct. Biol. 6, 346 (1999)

    Google Scholar 

  114. P.J. Haggerman, Ann. Rev. Biophys. Biophys. Chem. 17, 265 (1988)

    Google Scholar 

  115. G.S. Manning, J. Chem. Phys. 51, 924 (1969)

    ADS  Google Scholar 

  116. S. Alexander, P.M. Chaikin, P. Grant, G. Morales, P. Pincus, D. Hone, J. Chem. Phys. 80, 5776 (1984)

    ADS  Google Scholar 

  117. E. Trizac, L. Bocquet, M. Aubouy, H. von Grünberg, Langmuir 19, 4027 (2003)

    Google Scholar 

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Boroudjerdi, H., Naji, A., Naji, A. et al. Global analysis of the ground-state wrapping conformation of a charged polymer on an oppositely charged nano-sphere. Eur. Phys. J. E 37, 21 (2014). https://doi.org/10.1140/epje/i2014-14021-6

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