276. Dommersnes PG, Fournier JB (1999) Casimir and mean-field interactions between membrane inclusions subject to external torques. Europhys Lett 46:256
277. Kardar M, Golestanian R (1999) The “friction” of vacuum, and other fluctuation-induced
forces. Rev Mod Phys 71:1233–1245
278. Park J-M, Lubensky TC (1996) Interactions between membrane inclusions on fluctuating
membranes. J Phys I France 6(9):1217–1235
279. Helfrich W, Weikl TR (2001) Two direct methods to calculate fluctuation forces between
rigid objects embedded in fluid membranes. Eur Phys J E 5:423–439
280. Gosselin HP, Morbach H, Mu ¨ller MM (2012) Interface-mediated interactions: entropic forces
of curved membranes. Phys Rev E 83:051921
281. Brakke KA (1992) The surface evolver. Exp Math 1:141–165
282. Reynwar BJ, Illya G, Harmandaris VA, Mu ¨ller MM, Kremer K, Deserno M (2007) Aggregation and vesiculation of membrane proteins by curvature-mediated interactions. Nature
447:461–464
283. Kim KS, Neu J, Oster G (1998) Curvature-mediated interactions between membrane
proteins. Biophys J 75(5):2274–2291
284. Kim KS, Neu JC, Oster GF (1999) Many-body forces between membrane inclusions: a new
pattern-formation mechanism. Europhys Lett 48(1):99–105
285. Kim KS, Chou T, Rudnick J (2008) Degenerate ground-state lattices of membrane inclusions.
Phys Rev E 78:011401. doi:10.1103/PhysRevE.78.011401
286. Mu ¨ller MM, Deserno M (2010) Cell model approach to membrane mediated protein interactions. Progr Theor Phys Suppl 184:351–363
287. Auth T, Gompper G (2009) Budding and vesiculation induced by conical membrane inclusions. Phys Rev E 80:031901. doi:10.1103/PhysRevE.80.031901
288. Johnson ME, Head-Gordon T, Louis AA (2007) Representability problems for coarsegrained water potentials. J Chem Phys 126(14):144509
289. Nielsen SO, Lopez CF, Srinivas G, Klein ML (2003) A coarse grain model for n-alkanes
parameterized from surface tension data. J Chem Phys 119:7043–7049
290. Mognetti BM, Yelash L, Virnau P, Paul W, Binder K, Mu ¨ller M, Macdowell LG (2008)
Efficient prediction of thermodynamic properties of quadrupolar fluids from simulation of a
coarse-grained model: the case of carbon dioxide. J Chem Phys 128:104501
291. DeVane R, Shinoda W, Moore PB, Klein ML (2009) Transferable coarse grain nonbonded
interaction model for amino acids. J Chem Theory Comput 5:2115–2124
292. Tscho ¨p W, Kremer K, Batoulis J, Burger T, Hahn O (1998) Simulation of polymer melts.
I. coarse-graining procedure for polycarbonates. Acta Polym 49(2–3):61–74
293. Lyubartsev AP, Laaksonen A (1995) Calculation of effective interaction potentials from
radial-distribution functions – a reverse Monte-Carlo approach. Phys Rev E 52:3730–3737
294. Reith D, Putz M, Mu ¨ller-Plathe F (2003) Deriving effective mesoscale potentials from
atomistic simulations. J Comp Chem 24:1624–1636
295. Peter C, Delle Site L, Kremer K (2008) Classical simulations from the atomistic to the
mesoscale: coarse graining an azobenzene liquid crystal. Soft Matter 4:859–869
296. Murtola T, Karttunen M, Vattulainen I (2009) Systematic coarse graining from structure
using internal states: application to phospholipid/cholesterol bilayer. J Chem Phys
131:055101
297. Lyubartsev A, Mirzoev A, Chen LJ, Laaksonen A (2010) Systematic coarse-graining of
molecular models by the Newton inversion method. Faraday Discuss 144:43–56
298. Savelyev A, Papoian GA (2009) Molecular renormalization group coarse-graining of electrolyte solutions: application to aqueous NaCl and KCl. J Phys Chem B 113:7785–7793
299. Megariotis G, Vyrkou A, Leygue A, Theodorou DN (2011) Systematic coarse graining of
4-cyano-4
0 -pentylbiphenyl. Ind Eng Chem Res 50:546–556
300. Mukherjee B, Site LD, Kremer K, Peter C (2012) Derivation of a coarse grained model for
multiscale simulation of liquid crystalline phase transitions. J Phys Chem B 116:8474–8484
282
M. Deserno et al.
277. Kardar M, Golestanian R (1999) The “friction” of vacuum, and other fluctuation-induced
forces. Rev Mod Phys 71:1233–1245
278. Park J-M, Lubensky TC (1996) Interactions between membrane inclusions on fluctuating
membranes. J Phys I France 6(9):1217–1235
279. Helfrich W, Weikl TR (2001) Two direct methods to calculate fluctuation forces between
rigid objects embedded in fluid membranes. Eur Phys J E 5:423–439
280. Gosselin HP, Morbach H, Mu ¨ller MM (2012) Interface-mediated interactions: entropic forces
of curved membranes. Phys Rev E 83:051921
281. Brakke KA (1992) The surface evolver. Exp Math 1:141–165
282. Reynwar BJ, Illya G, Harmandaris VA, Mu ¨ller MM, Kremer K, Deserno M (2007) Aggregation and vesiculation of membrane proteins by curvature-mediated interactions. Nature
447:461–464
283. Kim KS, Neu J, Oster G (1998) Curvature-mediated interactions between membrane
proteins. Biophys J 75(5):2274–2291
284. Kim KS, Neu JC, Oster GF (1999) Many-body forces between membrane inclusions: a new
pattern-formation mechanism. Europhys Lett 48(1):99–105
285. Kim KS, Chou T, Rudnick J (2008) Degenerate ground-state lattices of membrane inclusions.
Phys Rev E 78:011401. doi:10.1103/PhysRevE.78.011401
286. Mu ¨ller MM, Deserno M (2010) Cell model approach to membrane mediated protein interactions. Progr Theor Phys Suppl 184:351–363
287. Auth T, Gompper G (2009) Budding and vesiculation induced by conical membrane inclusions. Phys Rev E 80:031901. doi:10.1103/PhysRevE.80.031901
288. Johnson ME, Head-Gordon T, Louis AA (2007) Representability problems for coarsegrained water potentials. J Chem Phys 126(14):144509
289. Nielsen SO, Lopez CF, Srinivas G, Klein ML (2003) A coarse grain model for n-alkanes
parameterized from surface tension data. J Chem Phys 119:7043–7049
290. Mognetti BM, Yelash L, Virnau P, Paul W, Binder K, Mu ¨ller M, Macdowell LG (2008)
Efficient prediction of thermodynamic properties of quadrupolar fluids from simulation of a
coarse-grained model: the case of carbon dioxide. J Chem Phys 128:104501
291. DeVane R, Shinoda W, Moore PB, Klein ML (2009) Transferable coarse grain nonbonded
interaction model for amino acids. J Chem Theory Comput 5:2115–2124
292. Tscho ¨p W, Kremer K, Batoulis J, Burger T, Hahn O (1998) Simulation of polymer melts.
I. coarse-graining procedure for polycarbonates. Acta Polym 49(2–3):61–74
293. Lyubartsev AP, Laaksonen A (1995) Calculation of effective interaction potentials from
radial-distribution functions – a reverse Monte-Carlo approach. Phys Rev E 52:3730–3737
294. Reith D, Putz M, Mu ¨ller-Plathe F (2003) Deriving effective mesoscale potentials from
atomistic simulations. J Comp Chem 24:1624–1636
295. Peter C, Delle Site L, Kremer K (2008) Classical simulations from the atomistic to the
mesoscale: coarse graining an azobenzene liquid crystal. Soft Matter 4:859–869
296. Murtola T, Karttunen M, Vattulainen I (2009) Systematic coarse graining from structure
using internal states: application to phospholipid/cholesterol bilayer. J Chem Phys
131:055101
297. Lyubartsev A, Mirzoev A, Chen LJ, Laaksonen A (2010) Systematic coarse-graining of
molecular models by the Newton inversion method. Faraday Discuss 144:43–56
298. Savelyev A, Papoian GA (2009) Molecular renormalization group coarse-graining of electrolyte solutions: application to aqueous NaCl and KCl. J Phys Chem B 113:7785–7793
299. Megariotis G, Vyrkou A, Leygue A, Theodorou DN (2011) Systematic coarse graining of
4-cyano-4
0 -pentylbiphenyl. Ind Eng Chem Res 50:546–556
300. Mukherjee B, Site LD, Kremer K, Peter C (2012) Derivation of a coarse grained model for
multiscale simulation of liquid crystalline phase transitions. J Phys Chem B 116:8474–8484
282
M. Deserno et al.