26. Nielsen C, Andersen OS (2000) Inclusion-induced bilayer deformations: effects of monolayer equilibrium curvature. Biophys J 79:2583–2604
27. Jensen MO, Mouritsen OG (2004) Lipids do influence protein function – the hydrophobic
matching hypothesis revisited. Biochim Biophys Acta 1666:205–226
28. Brannigan G, Brown F (2006) A consistent model for thermal fluctuations and proteininduced deformations in lipid bilayer. Biophys J 90:1501
29. Brannigan G, Brown FLH (2007) Contributions of Gaussian curvature and nonconstant lipid
volume to protein deformation of lipid bilayers. Biophys J 92:864–876
30. West B, Brown FLH, Schmid F (2009) Membrane-protein interactions in a generic coarsegrained model for lipid bilayers. Biophys J 96:101–115
31. Fournier JB (1998) Coupling between membrane tilt-difference and dilation: a new “ripple”
instability and multiple crystalline inclusions phases. Europhys Lett 43:725–730
32. Fournier JB (1999) Microscopic membrane elasticity and interactions among membrane
inclusions: interplay between the shape, dilation, tilt and tilt-difference modes. Eur Phys
J B 11:261–272
33. Bohinc K, Kralj-Iglic V, May S (2003) Interaction between two cylindrical inclusions in a
symmetric lipid bilayer. J Chem Phys 119:7435–7444
34. May ER, Narang A, Kopelevich DI (2007) Role of molecular tilt in thermal fluctuations of
lipid membranes. Phys Rev E 76:021913
35. Watson MC, Penev ES, Welch PM, Brown FLH (2011) Thermal fluctuations in shape,
thickness, and molecular orientation in lipid bilayers. J Chem Phys 135:244701
36. Watson MC, Morriss-Andrews A, Welch PM, Brown FLH (2013) Thermal fluctuations in
shape, thickness, and molecular orientation in lipid bilayers II: finite surface tensions. J Chem
Phys 139:084706 doi: 10.1063/1.4818530
37. Neder J, West B, Nielaba P, Schmid F (2010) Coarse-grained simulations of membranes
under tension. J Chem Phys 132:115101
38. Li J, Pastor KA, Shi AC, Schmid F, Zhou J (2013) Elastic properties and line tension of selfassembled bilayer membranes. Phys Rev E 88:012718 doi: 10.1103/PhysRevE.88.012718
39. Scott H (2002) Modeling the lipid component of membranes. Curr Opin Struct Biol 12(4):
495–502
40. Saiz L, Bandyopadhyay S, Klein ML (2002) Towards an understanding of complex biological membranes from atomistic molecular dynamics simulations. Biosci Rep 22(2):151–173
41. Saiz L, Klein ML (2002) Computer simulation studies of model biological membranes. Acc
Chem Res 35(6):482–489
42. Berkowitz ML (2009) Detailed molecular dynamics simulations of model biological membranes containing cholesterol. Biochim Biophys Acta Biomembr 1788(1):86–96
43. Niemela ¨ PS, Hyvonen MT, Vattulainen I (2009) Atom-scale molecular interactions in lipid
raft mixtures. Biochim Biophys Acta 1788(1):122–135
44. Gompper G, Kroll DM (1997) Network models of fluid, hexatic and polymerized membranes.
J Phys Condens Matt 9(42):8795–8834
45. Gompper G, Kroll D (1998) Membranes with fluctuating topology: Monte Carlo simulations.
Phys Rev Lett 81(11):2284–2287
46. Kumar PBS, Gompper G, Lipowsky R (2001) Budding dynamics of multicomponent membranes. Phys Rev Lett 86(17):3911–3914
47. Noguchi H, Gompper G (2004) Fluid vesicles with viscous membranes in shear flow. Phys
Rev Lett 93(25):258102
48. Atzberger PJ, Kramer PR, Peskin CS (2007) A stochastic immersed boundary method for
fluid-structure dynamics at microscopic length scales. J Comput Phys 224(2):1255–1292
49. Brown FLH (2008) Elastic Modeling of biomembranes and lipid bilayers. Ann Rev Phys
Chem 59:685–712
50. Venturoli M, Sperotto MM, Kranenburg M, Smit B (2006) Mesoscopic models of biological
membranes. Phys Rep 437(1–2):1–54
51. Mu ¨ller M, Katsov K, Schick M (2006) Biological and synthetic membranes: what can be
learned from a coarse-grained description? Phys Rep 434(5–6):113–176
272
M. Deserno et al.
27. Jensen MO, Mouritsen OG (2004) Lipids do influence protein function – the hydrophobic
matching hypothesis revisited. Biochim Biophys Acta 1666:205–226
28. Brannigan G, Brown F (2006) A consistent model for thermal fluctuations and proteininduced deformations in lipid bilayer. Biophys J 90:1501
29. Brannigan G, Brown FLH (2007) Contributions of Gaussian curvature and nonconstant lipid
volume to protein deformation of lipid bilayers. Biophys J 92:864–876
30. West B, Brown FLH, Schmid F (2009) Membrane-protein interactions in a generic coarsegrained model for lipid bilayers. Biophys J 96:101–115
31. Fournier JB (1998) Coupling between membrane tilt-difference and dilation: a new “ripple”
instability and multiple crystalline inclusions phases. Europhys Lett 43:725–730
32. Fournier JB (1999) Microscopic membrane elasticity and interactions among membrane
inclusions: interplay between the shape, dilation, tilt and tilt-difference modes. Eur Phys
J B 11:261–272
33. Bohinc K, Kralj-Iglic V, May S (2003) Interaction between two cylindrical inclusions in a
symmetric lipid bilayer. J Chem Phys 119:7435–7444
34. May ER, Narang A, Kopelevich DI (2007) Role of molecular tilt in thermal fluctuations of
lipid membranes. Phys Rev E 76:021913
35. Watson MC, Penev ES, Welch PM, Brown FLH (2011) Thermal fluctuations in shape,
thickness, and molecular orientation in lipid bilayers. J Chem Phys 135:244701
36. Watson MC, Morriss-Andrews A, Welch PM, Brown FLH (2013) Thermal fluctuations in
shape, thickness, and molecular orientation in lipid bilayers II: finite surface tensions. J Chem
Phys 139:084706 doi: 10.1063/1.4818530
37. Neder J, West B, Nielaba P, Schmid F (2010) Coarse-grained simulations of membranes
under tension. J Chem Phys 132:115101
38. Li J, Pastor KA, Shi AC, Schmid F, Zhou J (2013) Elastic properties and line tension of selfassembled bilayer membranes. Phys Rev E 88:012718 doi: 10.1103/PhysRevE.88.012718
39. Scott H (2002) Modeling the lipid component of membranes. Curr Opin Struct Biol 12(4):
495–502
40. Saiz L, Bandyopadhyay S, Klein ML (2002) Towards an understanding of complex biological membranes from atomistic molecular dynamics simulations. Biosci Rep 22(2):151–173
41. Saiz L, Klein ML (2002) Computer simulation studies of model biological membranes. Acc
Chem Res 35(6):482–489
42. Berkowitz ML (2009) Detailed molecular dynamics simulations of model biological membranes containing cholesterol. Biochim Biophys Acta Biomembr 1788(1):86–96
43. Niemela ¨ PS, Hyvonen MT, Vattulainen I (2009) Atom-scale molecular interactions in lipid
raft mixtures. Biochim Biophys Acta 1788(1):122–135
44. Gompper G, Kroll DM (1997) Network models of fluid, hexatic and polymerized membranes.
J Phys Condens Matt 9(42):8795–8834
45. Gompper G, Kroll D (1998) Membranes with fluctuating topology: Monte Carlo simulations.
Phys Rev Lett 81(11):2284–2287
46. Kumar PBS, Gompper G, Lipowsky R (2001) Budding dynamics of multicomponent membranes. Phys Rev Lett 86(17):3911–3914
47. Noguchi H, Gompper G (2004) Fluid vesicles with viscous membranes in shear flow. Phys
Rev Lett 93(25):258102
48. Atzberger PJ, Kramer PR, Peskin CS (2007) A stochastic immersed boundary method for
fluid-structure dynamics at microscopic length scales. J Comput Phys 224(2):1255–1292
49. Brown FLH (2008) Elastic Modeling of biomembranes and lipid bilayers. Ann Rev Phys
Chem 59:685–712
50. Venturoli M, Sperotto MM, Kranenburg M, Smit B (2006) Mesoscopic models of biological
membranes. Phys Rep 437(1–2):1–54
51. Mu ¨ller M, Katsov K, Schick M (2006) Biological and synthetic membranes: what can be
learned from a coarse-grained description? Phys Rep 434(5–6):113–176
272
M. Deserno et al.