Nucleation in polymers and soft matter

Annual Review of Physical Chemistry

Volumn 65, Issue , 2014, Pages 449-475

  Xu, Xiaofei ^a   Ting, Christina L ^b   Kusaka, Isamu ^c   Wang, Zhen Gang ^a  

^a California Institute of Technology   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

^c The Ohio State University   (United States)

Author keywords

binary mixtures; membrane fusion; membrane pore formation; membrane rupture; microphase separation; minimum free energy path

Indexed keywords

BINARY MIXTURES; BLOCK COPOLYMERS; CELL MEMBRANES; FREE ENERGY; MICROPHASE SEPARATION; POLYMER BLENDS; POLYMER MELTS;

ENERGY PATHS; MEMBRANE FUSION; MEMBRANE PORE FORMATION; MEMBRANE PORES; MEMBRANE RUPTURE; MINIMUM FREE ENERGIES; MINIMUM FREE ENERGY PATH; PHYSICAL-CHEMICAL PROCESS; PORE FORMATION; SOFT MATTER;

NUCLEATION;

ARTIFICIAL MEMBRANE; MICELLE; POLYMER;

ANIMAL; ARTIFICIAL MEMBRANE; CELL MEMBRANE; CHEMICAL MODEL; CHEMISTRY; COMPUTER SIMULATION; HUMAN; MICELLE; PHASE TRANSITION; THERMODYNAMICS;

ANIMALS; CELL MEMBRANE; COMPUTER SIMULATION; HUMANS; MEMBRANES, ARTIFICIAL; MICELLES; MODELS, CHEMICAL; PHASE TRANSITION; POLYMERS; THERMODYNAMICS;

EID: 84897564981     PISSN: 0066426X     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev-physchem-032511-143750     Document Type: Article

References (153)

1. Kulmala M, Riipinen I, Sipilä M, Manninen HE, Petäjä T, et al. 2007. Toward direct measurement of atmospheric nucleation. Science 318:89-92
2. Lee RE, Costanzo JP. 1998. Biological ice nucleation and ice distribution in cold-hardy ectothermic animals. Annu. Rev. Physiol. 60:55-72
3. Welch MD, Mullins RD. 2002. Cellular control of actin nucleation. Annu. Rev. Cell Dev. Biol. 18:247-88
4. Laaksonen A, Talanquer V, Oxtoby DW. 1995. Nucleation: Measurements, theory, and atmospheric applications. Annu. Rev. Phys. Chem. 46:489-524
5. Auer S, Frenkel D. 2004. Quantitative prediction of crystal-nucleation rates for spherical colloids: A computational approach. Annu. Rev. Phys. Chem. 55:333-61
6. Oxtoby DW. 1998. Nucleation of first-order phase transitions. Acc. Chem. Res. 31:91-97
7. Dimitrov D, Jain RK. 1984. Membrane stability. Biochim. Biophys. Acta 779:437-68
8. Litster JD. 1975. Stability of lipid bilayers and red blood-cell membranes. Phys. Lett. A 53:193-94
9. Taupin C, Dvolaitzky M, Sauterey C. 1975. Osmotic-pressure induced pores in phospholipid vesicles. Biochemistry 14:4771-75
10. Landau LD, Lifshitz EM. 1980. Statistical Physics, Part 1. New York: Pergamon. 3rd ed
11. Auer S, Frenkel D. 2005. Numerical simulation of crystal nucleation in colloids. Adv. Polym. Sci. 55:333-61
12. Durbin SD, Feher G. 1996. Protein crystallization. Annu. Rev. Phys. Chem. 47:171-204
13. Bartell LS. 1998. Structure and transformation: Large molecular clusters as models of condensed matter. Annu. Rev. Phys. Chem. 49:43-72
14. Vekilov PG. 2005. Two-step mechanism for the nucleation of crystals from solution. J. Cryst. Growth 275:65-76
15. Oxtoby DW. 2002. Density functional methods in the statistical mechanics of materials. Annu. Rev. Mater. Res. 32:39-52
16. Vanden-Eijnden E. 2010. Transition-path theory and path-finding algorithms for the study of rare events. Annu. Rev. Phys. Chem. 61:391-420
17. FredricksonGH. 2006. The Equilibrium Theory of Inhomogeneous Polymers.New York:OxfordUniv. Press
18. Binder K, Müller M, Virnau P, MacDowell LG. 2005. Polymer + solvent systems: Phase diagrams, interface free energies, and nucleation. Adv. Polym. Sci. 173:1-110
19. Sear RP. 2007. Nucleation: Theory and applications to protein solutions and colloidal suspensions. J. Phys. Condens. Matter 19:033101
20. Ren W, Vanden-Eijnden E. 2007. Simplified and improved string method for computing the minimum energy paths in barrier-crossing events. J. Chem. Phys. 126:164103
21. Ren W, Vanden-Eijnden E. 2002. String method for the study of rare events.Phys. Rev. B 66:052301
22. Evans R. 1979. Nature of the liquid-vapor interface and other topics in the statistical mechanics of non-uniform, classical fluids. Adv. Phys. 28:143-200
23. Wu JZ, Li ZD. 2007. Density-functional theory for complex fluids. Annu. Rev. Phys. Chem. 58:85-112
24. Xu XF, Cao DP, Wu JZ. 2010. Density functional theory for predicting polymeric forces against surface fouling. Soft Matter 6:4631-46
25. Wood SM, Wang Z-G. 2002. Nucleation in binary polymer blends: A self-consistent field study. J. Chem. Phys. 116:2289-300
26. Bolhuis PG, Chandler D, Dellago C, Geissler PL. 2002. Transition path sampling: Throwing ropes over rough mountain passes, in the dark. Annu. Rev. Phys. Chem. 53:291-318
27. Oxtoby DW, Evans R. 1988. Nonclassical nucleation theory for the gas-liquid transition. J. Chem. Phys. 89:7521-30
28. Cahn JW, Hilliard JE. 1959. Free energy of a nonuniform system. III. Nucleation in a two-component incompressible fluid. J. Chem. Phys. 31:688-99
29. Talanquer V, Oxtoby DW. 1994. Dynamical density functional theory of gas-liquid nucleation. J. Chem. Phys. 100:5190-200
30. Lutsko JF. 2010. Recent developments in classical density functional theory. Adv. Chem. Phys. 144:1-91
31. Lutsko JF. 2008. Theoretical description of the nucleation of vapor bubbles in a superheated fluid. Europhys. Lett. 83:46007
32. E W 2010. Rare events, transition pathways and reaction rates. http://web.math.princeton.edu/ string/
33. Wales D. 2003. Energy Landscapes. Cambridge, UK: Cambridge Univ. Press
34. 2 mixtures. J. Phys. Chem. Lett. 4:1639-43
35. Swope WC, Andersen HC. 1990. 106-Particle molecular-dynamics study of homogeneous nucleation of crystals in a supercooled atomic liquid. Phys. Rev. B 41:7042-54
36. MatsumotoM, Saito S, Ohmine I. 2002. Molecular dynamics simulation of the ice nucleation and growth process leading to water freezing. Nature 416:409-13
37. Torrie GM, Valleau JP. 1974. Monte Carlo free energy estimates using non-Boltzmann sampling: Application to subcritical Lennard-Jones fluid. Chem. Phys. Lett. 28:578-81
38. Ni R, Belli S, van Roij R, DijkstraM. 2010. Glassy dynamics, spinodal fluctuations, and the kinetic limit of nucleation in suspensions of colloidal hard rods. Phys. Rev. Lett. 105:088302
39. Schilling T, Frenkel D. 2004. Self-poisoning of crystal nuclei in hard-rod liquids. Phys. Rev. Lett. 92:085505
40. Ni R, Smallenburg F, Filion L, DijkstraM. 2011. Crystal nucleation in binary hard-sphere mixtures: The effect of order parameter on the cluster composition. Mol. Phys. 109:1213-27
41. Kusaka I, Oxtoby DW. 1999. Identifying physical clusters in vapor phase nucleation. J. Chem. Phys. 110:5249-61
42. Kusaka I, Oxtoby DW. 1999. Identifying physical clusters in bubble nucleation. J. Chem. Phys. 111:1104-8
43. Kusaka I, Wang Z-G, Seinfeld JH. 1998. Direct evaluation of the equilibrium distribution of physical clusters by a grand canonical Monte Carlo simulation. J. Chem. Phys. 108:3416-23
44. Kusaka I. 2009. Accelerating simulation of metastable decay. J. Chem. Phys. 131:034112
45. ten Wolde PR, Frenkel D. 1998. Numerical study of gas-liquid nucleation in partially miscible binary mixtures. J. Chem. Phys. 109:9919-27
46. 2 hydrate clathrates. J. Chem. Phys. 117:1786-96
47. Radhakrishnan R, Trout BL. 2003. Nucleation of hexagonal ice (Ih) in liquid water. J. Am. Chem. Soc. 125:7743-47
48. Radhakrishnan R, Trout BL. 2003. Nucleation of crystalline phases of water in homogeneous and inhomogeneous environments. Phys. Rev. Lett. 90:158301
49. Allen RJ, Valerian C, ten Wolde PR. 2009. Forward flux sampling for rare event simulations. J. Phys. Condens. Matter 21:463102
50. Escobedo FA, Borrero EE, Araque JC. 2009. Transition path sampling and forward flux sampling: Applications to biological systems. J. Phys. Condens. Matter 21:333101
51. BohnerMU, Kästner J. 2012. An algorithm to find minimum free-energy paths using umbrella integration. J. Chem. Phys. 137:034105
52. MillerTF, Vanden-Eijnden E, Chandler D. 2007. Solvent coarse-graining and the stringmethod applied to the hydrophobic collapse of a hydrated chain. Proc. Natl. Acad. Sci. USA 104:14559-64
53. Wang R, Wang Z-G. 2012. Theory of polymers in poor solvent: Phase equilibrium and nucleation behavior. Macromolecules 45:6266-71
54. Rubinstein M, Colby RH. 2003. Polymer Physics. New York: Oxford Univ. Press
55. Ginzburg VL. 1960. Some remarks on second order phase transitions and the microscopic theory of ferroelectrics. Sov. Phys. Solid State 2:1824-36
56. Levanyuk AP. 1959. Contribution to the theory of light scattering near the 2nd order phase-Transition points. Sov. Phys. JETP USSR 9:571-76
57. de Gennes PG. 1977. Qualitative features of polymer demixtion. J. Phys. Lett. 38:441-43
58. Binder K. 1984. Nucleation barriers, spinodals, and the Ginzburg criterion. Phys. Rev. A 29:341-49
59. Cahn JW. 1961. On spinodal decomposition. Acta Metall. 9:795-801
60. Cook HE. 1970. Brownian motion in spinodal decomposition. Acta Metall. 18:297-306
61. Lefebvre AA, Lee JH, Balsara NP, Hammouda B. 2002. Critical length and time scales during the initial stages of nucleation in polymer blends. J. Chem. Phys. 116:4777-81
62. Wang Z-G. 2002. Concentration fluctuation in binary polymer blends: ? Parameter, spinodal and Ginzburg criterion. J. Chem. Phys. 117:481-500
63. Balsara NP, Rappl TJ, Lefebvre AA. 2004. Does conventional nucleation occur during phase separation in polymer blends? J. Polym. Sci. B 42:1793-809
64. de Gennes PG. 1990. Introduction to Polymer Dynamics. Cambridge, UK: Cambridge Univ. Press
65. Grosberg AY, KuznetsovDV. 1992. Quantitative theory of the globule-To-coil transition. 1. Link density distribution in a globule and its radius of gyration. Macromolecules 25:1970-79
66. Grosberg AY, Kuznetsov DV. 1992. Quantitative theory of the globule-To-coil transition. 2. Densitydensity correlation in a globule and the hydrodynamic radius of a macromolecule. Macromolecules 25:1980-90
67. Grosberg AY, Kuznetsov DV. 1992. Quantitative theory of the globule-To-coil transition. 3. Globuleglobule interaction and polymer solution binodal and spinodal curves in the globular range. Macromolecules 25:1991-95
68. Lee ST, Ramesh NS. 2004. Polymeric Foams: Mechanisms and Materials. Boca Raton, FL: CRC
69. van Konynenburg PH, Scott RL. 1980. Critical lines and phase equilibria in binary Van Der Waals mixtures. Philos. Trans. R. Soc. Lond. A 298:495-540
70. Xu XF, Cristancho DE, Costeux S, Wang Z-G. 2012. Density-functional theory for polymer-carbon dioxide mixtures: A perturbed-chain SAFT approach. J. Chem. Phys. 137:054902
71. Virnau P, Müller M, MacDowell LG, Binder K. 2004. Phase separation kinetics in compressible polymer solutions: Computer simulation of the early stages. New J. Phys. 6:7
72. Müller M, MacDowell LG, Virnau P, Binder K. 2002. Interface properties and bubble nucleation in compressible mixtures containing polymers. J. Chem. Phys. 117:5480-96
73. 2-philic block copolymers: One step foaming process. J. Supercrit. Fluids 58:168-76
74. tenWolde PR, Frenkel D. 1997. Enhancement of protein crystal nucleation by critical density fluctuations. Science 277:1975-78
75. Talanquer V, Oxtoby DW. 1998. Crystal nucleation in the presence of a metastable critical point. J. Chem. Phys. 109:223-27
76. Galkin O, Vekilov PG. 2000. Control of protein crystal nucleation around the metastable liquid-liquid phase boundary. Proc. Natl. Acad. Sci. USA 97:6277-81
77. Tavassoli Z, Sear RP. 2002. Homogeneous nucleation near a second phase transition and Ostwald's step rule. J. Chem. Phys. 116:5066-72
78. Leibler L. 1980. Theory of microphase separation in block copolymers. Macromolecules 13:1602-17
79. Matsen MW, Schick M. 1994. Stable and unstable phases of a diblock copolymer melt. Phys. Rev. Lett. 72:2660-63
80. Matsen MW. 2002. The standard Gaussian model for block copolymer melts. J. Phys. Condens. Matter 14:R21-47
81. Wickham RA, Shi AC, Wang Z-G. 2003. Nucleation of stable cylinders from ametastable lamellar phase in a diblock copolymer melt. J. Chem. Phys. 118:10293-305
82. Tyler CA, Morse DC. 2005. Orthorhombic Fddd network in triblock and diblock copolymer melts. Phys. Rev. Lett. 94:208302
83. Takenaka M, Wakada T, Akasaka S, Nishitsuji S, Saijo K, et al. 2007. Orthorhombic Fddd network in diblock copolymer melts. Macromolecules 40:4399-402
84. Fredrickson GH, Helfand E. 1987. Fluctuation effects in the theory of microphase separation in block copolymers. J. Chem. Phys. 87:697-705
85. Qi SY, Wang Z-G. 1997. Kinetics of phase transitions in weakly segregated block copolymers: Pseudostable and transient states. Phys. Rev. E 55:1682-97
86. Schulz MF, Bates FS, Almdal K, Mortensen K. 1994. Epitaxial relationship for hexagonal-To-cubic phase transition in a block copolymer mixture. Phys. Rev. Lett. 73:86-89
87. Koppi KA, Tirrell M, Bates FS, Almodal K, Mortensen K. 1994. Epitaxial growth and shearing of the body centered cubic phase in diblock copolymer melts. J. Rheol. 38:999-1027
88. Yeung C, Shi AC, Noolandi J, Desai RC. 1996. Anisotropic fluctuations in ordered copolymer phases. Macromol. Theory Simul. 5:291-98
89. LaradjiM, Shi AC, Noolandi J, Desai RC. 1997. Stability of ordered phases in diblock copolymer melts. Marcromolecules 30:3242-55
90. Qi SY, Wang Z-G. 1997. On the nature of the perforated layer phase in undiluted diblock copolymers. Macromolecules 30:4491-97
91. Qi SY, Wang Z-G. 1998. Weakly segregated block copolymers: Anisotropic fluctuations and kinetics of order-order and order-disorder transitions. Polymer 39:4639-48
92. Matsen MW. 2001. Cylinder-sphere expitaxial transitions in block copolymer melts. J. Chem. Phys. 114:8165-73
93. Nonomura M, Yamada K, Ohta T. 2003. Formation and stability of double gyroid in microphaseseparated diblock copolymers. J. Phys. Condens. Matter 15:L423-30
94. Hajduk DA, Takenouchi H, Hillmyer MA, Bates FS, Vigild ME, Almdal K. 1997. Stability of the perforated layer (PL) phase in diblock copolymer melts. Macromolecules 30:3788-95
95. Fredrickson GH, Binder K. 1989. Kinetics of metastable states in block copolymer melts. J. Chem. Phys. 91:7265-75
96. Hohenberg PC, Swift JB. 1995. Metastability in fluctuation-driven first-order transitions: Nucleation of lamellar phases. Phys. Rev. E 52:1828-45
97. Herring C. 1951. Some theorems of the free energies of crystal surfaces. Phys. Rev. 82:87-93
98. Rottman C, Wortis M. 1984. Statistical mechanics of equilibrium crystal shapes: Interfacial phase, diagrams and phase transitions. Phys. Rep. 103:59-79
99. Nonomura M, Ohta T. 2001. Growth of mesophases in morphological transitions. J. Phys. Soc. Jpn. 70:927-30
100. Cheng XY, Lin L, E W, Zhang PW, Shi AC. 2010. Nucleation of ordered phases in block copolymers. Phys. Rev. Lett. 104:148301
101. Matsen MW, Bates FS. 1996. Unifying weak-And strong-segregation block copolymer theories. Macromolecules 29:1091-98
102. Matsen MW, Bates FS. 1997. Block copolymer microstructures in the intermediate-segregation regime. J. Chem. Phys. 106:2436-48
103. Semenov AN. 1989. Microphase separation in diblock copolymer melts: Ordering of micelles. Macromolecules 22:2849-51
104. Adams JL, Quiram DJ, Graessley WW, Register RA, Marchand GR. 1996. Ordering dynamics of compositionally asymmetric styrene isoprene block copolymers. Macromolecules 29:2929-38
105. Schwab M, Stühn B. 1996. Thermotropic transition from a state of liquid order to a macrolattice in asymmetric diblock copolymers. Phys. Rev. Lett. 76:924-27
106. Schwab M, Stühn B. 1997. Asymmetric diblock copolymers: Phase behaviour and kinetics of structure formation. Colloid Polym. Sci. 275:341-51
107. Sakamoto N, Hashimoto T, Han CD, Kim D, Vaidya NY. 1997. Order-order and order-disorder transitions in a polystyrene-block-polyisoprene-block-polystyrene copolymer. Macromolecules 30:1621-32
108. Sakamoto N, Hashimoto T. 1998. Ordering dynamics of cylindrical and spherical microdomains in polystyrene-block-polyisoprene-block-polystyrene. 1. SAXS and TEM observations for the grain formation. Macromolecules 31:8493-502
109. Han CD, Vaidya NY, Kim D, Shin G, Yamaguchi D, Hashimoto T. 2000. Lattice disordering/ordering and demicellization/micellization transitions in highly asymmetric polystyrene-block-polyisoprene copolymers. Macromolecules 33:3767-80
110. Kim JK, Lee HH, Sakurai S, Aida S, Masamoto J, et al. 1999. Lattice disordering and domain dissolution transitions in polystyrene-block- poly(ethylene-co-but-1-ene)-block-polystyrene triblock copolymer having a highly asymmetric composition. Macromolecules 32:6707-17
111. Wang XH, Dormidontova EE, Lodge TP. 2002. The order-disorder transition and the disordered micelle regime for poly(ethylenepropylene-b-dimethylsiloxane) spheres. Macromolecules 35:9687-97
112. Kim JK, HanCD. 2010. Phase behavior and phase transition in AB-And ABA-Typemicrophase-separated block copolymers. Adv. Polym. Sci. 231:77-146
113. Dormidontova EE, Lodge TP. 2001. The order-disorder transition and the disordered micelle regime in sphere-forming block copolymer melts. Macromolecules 34:9143-55
114. Wang JF, Wang Z-G, Yang YL. 2005. Nature of disordered micelles in sphere-forming block copolymer melts. Macromolecules 38:1979-88
115. Besseling NAM, Stuart MAC. 1999. Self-consistent field theory for the nucleation of micelles. J. Chem. Phys. 110:5432-36
116. Talanquer V, Oxtoby DW. 2000. A density-functional approach to nucleation in micellar solutions. J. Chem. Phys. 113:7013-21
117. Duque D. 2003. Theory of copolymer micellization. J. Chem. Phys. 119:5701-4
118. Nyrkova IA, Semenov AN. 2005. On the theory of micellization kinetics. Macromol. Theory Simul. 14:569-85
119. Thiagarajan R, MorseDC. 2011. Micellization kinetics of diblock copolymers in a homopolymer matrix: A self-consistent field study. J. Phys. Condens. Matter 23:284109
120. Wang JF, Müller M, Wang Z-G. 2009. Nucleation in A/B/AB blends: Interplay between microphase assembly and macrophase separation. J. Chem. Phys. 130:154902
121. Groenewold J, Kegel WK. 2001. Anomalously large equilibrium clusters of colloids. J. Phys. Chem. B 105:11702-9
122. Hutchens SB, Wang Z-G. 2007. Metastable cluster intermediates in the condensation of charged macromolecule solutions. J. Chem. Phys. 127:084912
123. Lipowsky R. 1991. The conformation of membranes. Nature 349:475-81
124. Chernomordik LV, Kozlov MM. 2008. Mechanics of membrane fusion. Nat. Struct. Mol. Biol. 15:675-83
125. Müller M, Smirnova YG, Marelli G, Fuhrmans M, Shi A-C. 2012. Transition path from two apposed membranes to a stalk obtained by a combination of particle simulations and string method. Phys. Rev. Lett. 108:228103
126. Daoulas KC, Müller M. 2013. Exploring thermodynamic stability of the stalk fusion intermediate with three-dimensional self-consistent field theory calculations. Soft Matter 9:4097-102
127. Kuzmin PI, Zimmerberg J, Chizmadzhev YA, Cohen FS. 2001. A quantitative model for membrane fusion based on low-energy intermediates. Proc. Natl. Acad. Sci. USA 98:7235-40
128. Smirnova YG, Marrink S-J, Lipowsky R, Knecht V. 2010. Solvent-exposed tails as prestalk transition states for membrane fusion at low hydration. J. Am. Chem. Soc. 132:6710-18
129. Stevens MJ, Hoh JH, Woolf TB. 2003. Insights into the molecular mechanism of membrane fusion from simulation: Evidence for the association of splayed tails. Phys. Rev. Lett. 91:188102
130. Mirjanian D, Dickey AN, Hoh JH, Woolf TB, Stevens MJ. 2010. Splaying of aliphatic tails plays a central role in barrier crossing during liposome fusion. J. Phys. Chem. B 114:11061-68
131. Katsov K, Müller M, Schick M. 2004. Field theoretic study of bilayer membrane fusion: I. Hemifusion mechanism. Biophys. J. 87:3277-90
132. Warner JM, O'Shaughnessy M. 2012. The hemifused state on the pathway to membrane fusion. Phys. Rev. Lett. 108:178101
133. Katsov K, Müller M, Schick M. 2006. Field theoretic study of bilayer membrane fusion: II. Mechanism of a stalk-hole complex. Biophys. J. 90:915-26
134. Müller M, Katsov K, Schick M. 2003. A new mechanism of model membrane fusion determined from Monte Carlo simulation. Biophys. J. 85:1611-23
135. Kasson PM, Kelley NW, Singhal N, Vrljic M, Brunger AT, Pande VS. 2006. Ensemble molecular dynamics yields submillisecond kinetics and intermediates of membrane fusion. Proc. Natl. Acad. Sci. USA 103:11916-21
136. Kasson PM, Pande VS. 2007. Control of membrane fusion mechanism by lipid composition: Predictions from ensemble molecular dynamics. PLOS Comput. Biol. 3:2228-38
137. Kemble GW, Danieli T, White JM. 1994. Lipid-Anchored influenza hemagglutinin promotes hemifusion, not complete fusion. Cell 76:383-91
138. Xu YB, Zhang F, Su ZL, McNew JA, Shin YK. 2005. Hemifusion in SNARE-mediated membrane fusion. Nat. Struct. Mol. Biol. 12:417-22
139. Huang HW, Chen FY, Lee M-T. 2004. Molecular mechanism of peptide-induced pores in membranes. Phys. Rev. Lett. 92:198304
140. Sandre O, Moreaux L, Brochard-Wyart F. 1999. Dynamics of transient pores in stretched vesicles. Proc. Natl. Acad. Sci. USA 96:10591-96
141. Olbrich K, Rawicz W, Needham D, Evans E. 2000. Water permeability and mechanical strength of polyunsaturated lipid bilayers. Biophys. J. 79:321-27
142. Evans E, Heinrich V, Ludwig F, Rawicz W. 2003. Dynamic tension spectroscopy and strength of biomembranes. Biophys. J. 85:2342-50
143. Leontiadou H, Mark AE, Marrink SJ. 2004. Molecular dynamics simulations of hydrophilic pores in bilayers. Biophys. J. 86:2156-64
144. Tolpekina TV, den OtterWK, Briels WJ. 2004. Simulations of stable pores in membranes: System size dependence and line tension. J. Chem. Phys. 121:8014-20
145. Tolpekina TV, den Otter WK, Briels WJ. 2004. Nucleation free energy of pore formation in an amphiphilic bilayer studied by molecular dynamics simulations. J. Chem. Phys. 121:12060-66
146. den Otter WK. 2009. Free energy of stable and metastable pores in lipid membranes under tension. J. Chem. Phys. 131:205101
147. Müller M, Schick M. 1996. Structure and nucleation of pores in polymeric bilayers: A Monte Carlo simulation. J. Chem. Phys. 105:8282-92
148. Wang Z-J, Frenkel D. 2005. Pore nucleation in mechanically stretched bilayer membranes. J. Chem. Phys. 123:154701
149. Boucher P-A, Joós B, ZuckermannMJ, Fournier L. 2007. Pore formation in lipid bilayer under a tension ramp: Modeling the distribution of rupture tensions. Biophys. J. 92:4344-55
150. Talanquer V, Oxtoby DW. 2003. Nucleation of pores in amphiphile bilayers. J. Chem. Phys. 118:872-77
151. Ting CL, Appel öD, Wang Z-G. 2011. Minimum energy path tomembrane pore formation and rupture. Phys. Rev. Lett. 106:168101
152. Jain S, Bates FS. 2003. On the origins of morphological complexity in block copolymer surfactants. Science 300:460-64
153. MokMM, Thiagarajan R, Flores M, MorseDC, Lodge TP. 2012. Apparent critical micelle concentration in block copolymer/ionic liquid solutions: Remarkably weak dependence on solvophobic block molecular weight. Macromolecules 45:4818-29