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Prog. Theor. Phys. Supplement No. 184 (2010) pp. 351-363

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Cell Model Approach to Membrane Mediated Protein Interactions

Martin Michael Müller1 and Markus Deserno2

1Laboratoire de Physique Moléculaire et des Collisions, ICPMB-FR CNRS 2843,
Université Paul Verlaine-Metz; 1, boulevard Arago, 57070 Metz, France
2Dept. of Physics, Carnegie Mellon, 5000 Forbes Ave, Pittsburgh, PA 15213, USA

Abstract:

Membrane-deforming proteins can interact through the curvature fields they create. In the case of many such proteins a cell model approach can be used to calculate the energy per protein and predict, whether it would lead to phase segregation or bud-formation. Using covariant differential geometry exact results are derived for the lateral pressure in terms of geometric properties at the cell boundary. Numerical solutions of the exact shape equations in the highly nonlinear regime are found and it is seen that both phase segregation and bud formation can occur.


URL : http://ptp.ipap.jp/link?PTPS/184/351/
DOI : 10.1143/PTPS.184.351

[ Full Text PDF : OPEN SELECT (286K) ] Citation:


References:

  1. H. Lodish, A. Berk, S. L. Zipursky, P. Matsudaira, D. Baltimore and J. Darnell, Molecular Cell Biology (W. H. Freeman & Company, New York, 2000).
  2. G. Karp, Cell and Molecular Biology: Concepts and Experiments, 5th ed. (Wiley, Hoboken, NJ, 2007).
  3. U. Seifert and R. Lipowsky, in Structure and Dynamics of Membranes, Handbook of Biological Physics, ed. R. Lipowsky and E. Sackmann (Elsevier, North-Holland, 1995).
  4. I. Mellman, Ann. Rev. Cell. Develop. Biol. 12 (1996), 575.
  5. S. Mukherjee, R. N. Ghosh and F. R. Maxfield, Physiol. Rev. 77 (1997), 759.
  6. P. B. Canham, J. Theor. Biol. 26 (1970), 61.
  7. W. Helfrich, Z. Naturforsch. 28c (1973), 693.
  8. E. A. Evans, Biophys. J. 14 (1974), 923.
  9. M. Do Carmo, Differential Geometry of Curves and Surfaces (Prentice Hall, Englewood Cliffs, NJ, 1976).
  10. E. Kreyszig, Differential Geometry (Dover, New York, 1991).
  11. Z. C. Ou-Yang and W. Helfrich, Phys. Rev. A 39 (1989), 5280[APS].
  12. M. Goulian, R. Bruinsma and P. Pincus, Europhys. Lett. 22 (1993), 145[CrossRef].
  13. M. Goulian, R. Bruinsma and P. Pincus, Europhys. Lett. 23 (1993), 155[CrossRef].
    J.-B. Fournier and P. G. Dommersnes, Europhys. Lett. 39 (1997), 681[CrossRef].
  14. T. R. Weikl, M. M. Kozlov and W. Helfrich, Phys. Rev. E 57 (1998), 6988[APS].
  15. A. R. Evans, M. S. Turner and P. Sens, Phys. Rev. E 67 (2003), 041907[APS].
  16. M. Deserno, “Membrane elasticity and mediated interactions in continuum theory: a differential geometric approach”, in Biomembrane Frontiers, Vol. 2, ed. R. Faller, T. Jue, M. L. Longo and S. H. Risbud (Springer, Dordrecht, 2009).
  17. K. S. Kim, J. Neu and G. Oster, Biophys. J. 75 (1998), 2274.
  18. P. G. Dommersnes and J.-B. Fournier, Biophys. J. 83 (2002), 2898.
  19. P. G. Dommersnes, J.-B. Fournier and P. Galatola, C. R. Biologies 326 (2003), 467.
  20. P. Biscari, F. Bisi and R. Rosso, J. Math. Biol. 45 (2002), 37.
  21. M. M. Müller, M. Deserno and J. Guven, Phys. Rev. E 76 (2007), 011921[APS].
  22. R. M. Fuoss, A. Katchalsky and S. Lifson, Proc. Nat. Acad. Sci. USA 37 (1951), 579.
  23. M. LeBret and B. H. Zimm, Biopol. 23 (1984), 287.
  24. S. Alexander, P. M. Chaikin, P. Grant, G. J. Morales, P. Pincus and D. Hone, J. Chem. Phys. 80 (1984), 5776[CrossRef].
  25. R. J. F. L. de Carvalho, E. Trizac and J. P. Hansen, Phys. Rev. E 61 (2000), 1634[APS].
  26. M. Deserno and H. H. von Grünberg, Phys. Rev. E 66 (2002), 011401[APS].
  27. M. Deserno and C. Holm, “Cell model and Poisson-Boltzmann theory: a brief introduction”, in Electrostatic effects in soft matter and biophysics, NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 46 (Kluwer Academic Publishing, Dordrecht, 2001).
  28. R. A. Marcus, J. Chem. Phys. 23 (1955), 1057[AIP Scitation].
  29. H. Wennerström, B. Jönsson and P. Linse, J. Chem. Phys. 76 (1982), 4665[AIP Scitation].
  30. H. Aranda-Espinoza, A. Berman, N. Dan, P. Pincus and S. Safran, Biophys. J. 71 (1996), 648.
  31. C. Nielsen, M. Goulian and O. S. Andersen, Biophys. J. 74 (1998), 1966.
  32. W. T. Góźdź and G. Gompper, Europhys. Lett. 55 (2001), 587[CrossRef].
  33. M. Fošnarič, A. Iglič and S. May, Phys. Rev. E 74 (2006), 051503[APS].
  34. T. Auth and G. Gompper, Phys. Rev. E 80 (2009), 031901[APS].
  35. R. Capovilla and J. Guven, J. of Phys. A 35 (2002), 6233[IoP STACKS].
  36. M. M. Müller, M. Deserno and J. Guven, Europhys. Lett. 69 (2005), 482[CrossRef].
  37. M. M. Müller, M. Deserno and J. Guven, Phys. Rev. E 72 (2005), 061407[APS].
  38. J. Guven, J. of Phys. A 37 (2004), L313[IoP STACKS].
  39. M. Deserno, M. M. Müller and J. Guven, Phys. Rev. E 76 (2007), 011605[APS].
  40. U. Seifert, K. Berndl and R. Lipowsky, Phys. Rev. A 44 (1991), 1182[APS].
  41. U. Seifert and F. Jülicher, Phys. Rev. E 49 (1994), 4728[APS].
  42. M. Deserno and T. Bickel, Europhys. Lett. 62 (2003), 767[CrossRef].
  43. M. Deserno, Phys. Rev. E 69 (2004), 031903[APS].
  44. D. Norouzi, M. M. Müller and M. Deserno, Phys. Rev. E 74 (2006), 061914[APS].
  45. E. Atilgan and S. X. Sun, J. Chem. Phys. 121 (2004), 10392[AIP Scitation].
  46. B. J. Reynwar, G. Illya, V. A. Harmandaris, M. M. Müller, K. Kremer and M. Deserno, Nature 447 (2007), 461[CrossRef].
  47. H. B. Callen, Thermodynamics and an introduction to thermostatistics (John Wiley & Sons, New York, 1985).