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Volumn 56, Issue 3, 2008, Pages 347-371

Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches

Author keywords

Diffuse interface model; Lipid bilayer; Multi component membrane; Numerical simulation; Open membrane; Phase field model; Vesicle membrane

Indexed keywords

LIPOSOME; MEMBRANE LIPID;

EID: 36749080310     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-007-0118-2     Document Type: Article
Times cited : (183)

References (44)
  • 2
    • 23244446181 scopus 로고    scopus 로고
    • Membrane elasticity in giant vesicles with fluid phase coexistence
    • Baumgart T., Das S., Webb W., Jenkins J. (2005). Membrane elasticity in giant vesicles with fluid phase coexistence. Biophys. J. 89: 1067-1080
    • (2005) Biophys. J. , vol.89 , pp. 1067-1080
    • Baumgart, T.1    Das, S.2    Webb, W.3    Jenkins, J.4
  • 3
    • 0242331729 scopus 로고    scopus 로고
    • Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension
    • Baumgart T., Hess S., Webb W. (2003). Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension. Nature 425: 821-824
    • (2003) Nature , vol.425 , pp. 821-824
    • Baumgart, T.1    Hess, S.2    Webb, W.3
  • 4
    • 0011577202 scopus 로고
    • Line tension between liquid domains in lipid monolayers
    • Benvegnu D., McConnell M. (1992). Line tension between liquid domains in lipid monolayers. J. Phys. Chem. 96: 6820-6824
    • (1992) J. Phys. Chem. , vol.96 , pp. 6820-6824
    • Benvegnu, D.1    McConnell, M.2
  • 5
    • 33244464096 scopus 로고    scopus 로고
    • Phase-field approach to 3D vesicle dynamics
    • Biben T., Kassner K., Misbah C. (2005). Phase-field approach to 3D vesicle dynamics. Phys. Rev. E 72: 041921
    • (2005) Phys. Rev. e , vol.72 , pp. 041921
    • Biben, T.1    Kassner, K.2    Misbah, C.3
  • 7
    • 0000275077 scopus 로고    scopus 로고
    • Motion of curves in three spatial dimensions using a level set approach
    • Burchard P., Cheng L.-T., Merriman B., Osher S. (2001). Motion of curves in three spatial dimensions using a level set approach. J. Comput. Phys. 170: 720-741
    • (2001) J. Comput. Phys. , vol.170 , pp. 720-741
    • Burchard, P.1    Cheng, L.-T.2    Merriman, B.3    Osher, S.4
  • 8
    • 0002429644 scopus 로고
    • Phase field equations in the singular limit of sharp interface problems
    • (Minneapolis, MN, 1990-1991) Springer, New York
    • Caginalp, G., Chen, X.F.: Phase field equations in the singular limit of sharp interface problems. In: On the Evolution of Phase Boundaries (Minneapolis, MN, 1990-1991), pp. 1-27. Springer, New York (1992)
    • (1992) On the Evolution of Phase Boundaries , pp. 1-27
    • Caginalp, G.1    Chen, X.F.2
  • 11
    • 0036036465 scopus 로고    scopus 로고
    • Phase-field models for microstructure evolution
    • Chen L.-Q. (2002). Phase-field models for microstructure evolution. Annu. Rev. Mater. Res. 32: 113-140
    • (2002) Annu. Rev. Mater. Res. , vol.32 , pp. 113-140
    • Chen, L.-Q.1
  • 13
    • 0346681510 scopus 로고    scopus 로고
    • Mathematical elasticity, III: Theory of shells
    • North-Holland, Amsterdam
    • Ciarlet, P.G.: Mathematical elasticity, III: Theory of shells. In: Studies in Mathematics and its Applications. North-Holland, Amsterdam (2000)
    • (2000) Studies in Mathematics and Its Applications
    • Ciarlet, P.G.1
  • 15
    • 35348974079 scopus 로고    scopus 로고
    • Analysis of a phase field Navier-Stokes vesicle-fluid interaction model
    • 3
    • Du Q., Li M., Liu C. (2007). Analysis of a phase field Navier-Stokes vesicle-fluid interaction model. Disc. Cont. Dyn. Sys. B. 8(3): 539-556
    • (2007) Disc. Cont. Dyn. Sys. B. , vol.8 , pp. 539-556
    • Du, Q.1    Li, M.2    Liu, C.3
  • 16
    • 29144514194 scopus 로고    scopus 로고
    • A phase field formulation of the Willmore problem
    • Du Q., Liu C., Ryham R., Wang X. (2005). A phase field formulation of the Willmore problem. Nonlinearity 18: 1249-1267
    • (2005) Nonlinearity , vol.18 , pp. 1249-1267
    • Du, Q.1    Liu, C.2    Ryham, R.3    Wang, X.4
  • 17
    • 29144441852 scopus 로고    scopus 로고
    • Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation
    • Du Q., Liu C., Ryham R., Wang X. (2006). Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation. Commun. Pure Appl. Anal. 4: 537-548
    • (2006) Commun. Pure Appl. Anal. , vol.4 , pp. 537-548
    • Du, Q.1    Liu, C.2    Ryham, R.3    Wang, X.4
  • 19
    • 34248379040 scopus 로고    scopus 로고
    • Diffuse interface energies capturing the euler number: Relaxation and renormalization
    • Du Q., Liu C., Ryham R., Wang X. (2007). Diffuse interface energies capturing the euler number: relaxation and renormalization. Commun. Math. Sci. 5: 233-242
    • (2007) Commun. Math. Sci. , vol.5 , pp. 233-242
    • Du, Q.1    Liu, C.2    Ryham, R.3    Wang, X.4
  • 20
    • 3242875567 scopus 로고    scopus 로고
    • A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
    • Du Q., Liu C., Wang X. (2004). A phase field approach in the numerical study of the elastic bending energy for vesicle membranes. J. Comput. Phys. 198: 450-468
    • (2004) J. Comput. Phys. , vol.198 , pp. 450-468
    • Du, Q.1    Liu, C.2    Wang, X.3
  • 21
    • 29144511275 scopus 로고    scopus 로고
    • Retrieving topological information for phase field models
    • Du Q., Liu C., Wang X. (2005). Retrieving topological information for phase field models. SIAM J. Appl. Math. 65: 1913-1932
    • (2005) SIAM J. Appl. Math. , vol.65 , pp. 1913-1932
    • Du, Q.1    Liu, C.2    Wang, X.3
  • 22
    • 29144520935 scopus 로고    scopus 로고
    • Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
    • Du Q., Liu C., Wang X. (2006). Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. J. Comput. Phys. 212: 757-777
    • (2006) J. Comput. Phys. , vol.212 , pp. 757-777
    • Du, Q.1    Liu, C.2    Wang, X.3
  • 23
    • 36749007718 scopus 로고    scopus 로고
    • Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations
    • Du Q., Wang X. (2007). Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations. Inter. J. Numer. Anal Model. 4: 441-459
    • (2007) Inter. J. Numer. Anal Model. , vol.4 , pp. 441-459
    • Du, Q.1    Wang, X.2
  • 25
    • 4243267564 scopus 로고    scopus 로고
    • Shapes and shape transformations of two-component membranes of complex topology
    • Gozdz W., Gompper G. (1999). Shapes and shape transformations of two-component membranes of complex topology. Phys. Rev. E 59: 4305-4316
    • (1999) Phys. Rev. e , vol.59 , pp. 4305-4316
    • Gozdz, W.1    Gompper, G.2
  • 26
    • 0002217438 scopus 로고    scopus 로고
    • Phase separation and shape deformation of two-phase membranes
    • Jiang Y., Lookman T., Saxena A. (2000). Phase separation and shape deformation of two-phase membranes. Phys. Rev. E 6: R57-R60
    • (2000) Phys. Rev. e , vol.6
    • Jiang, Y.1    Lookman, T.2    Saxena, A.3
  • 27
    • 0001015928 scopus 로고    scopus 로고
    • Shape transformations of vesicles with intramembrane domains
    • Juelicher F., Lipowsky R. (1996). Shape transformations of vesicles with intramembrane domains. Phys. Rev. E 53: 2670-2683
    • (1996) Phys. Rev. e , vol.53 , pp. 2670-2683
    • Juelicher, F.1    Lipowsky, R.2
  • 28
    • 0001403502 scopus 로고    scopus 로고
    • Budding dynamics of multicomponent membranes
    • Kumar P., Gompper G., Lipowsky R. (2001). Budding dynamics of multicomponent membranes. Phys. Rev. Lett. 86: 3911-3914
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3911-3914
    • Kumar, P.1    Gompper, G.2    Lipowsky, R.3
  • 29
    • 0001335174 scopus 로고
    • Budding of membranes induced by intramembrane domains
    • Lipowsky R. (1992). Budding of membranes induced by intramembrane domains. Journal de Physique II, France 2: 1825-1840
    • (1992) Journal de Physique II, France , vol.2 , pp. 1825-1840
    • Lipowsky, R.1
  • 30
    • 0029152051 scopus 로고
    • The morphology of lipid membranes
    • Lipowsky R. (1995). The morphology of lipid membranes. Curr. Opin. Struct. Biol. 5: 531-540
    • (1995) Curr. Opin. Struct. Biol. , vol.5 , pp. 531-540
    • Lipowsky, R.1
  • 31
    • 0036040540 scopus 로고    scopus 로고
    • Domains and rafts in membranes hidden dimensions of self-organization
    • Lipowsky R. (2002). Domains and rafts in membranes hidden dimensions of self-organization. J. Biol. Phys. 28: 195-210
    • (2002) J. Biol. Phys. , vol.28 , pp. 195-210
    • Lipowsky, R.1
  • 32
    • 16344388803 scopus 로고    scopus 로고
    • Coupling field theory with mesoscopic dynamical simulations of multicomponent lipid bilayers
    • McWhirter J., Ayton G., Voth G. (2004). Coupling field theory with mesoscopic dynamical simulations of multicomponent lipid bilayers. Biophys. J. 87: 3242-3263
    • (2004) Biophys. J. , vol.87 , pp. 3242-3263
    • McWhirter, J.1    Ayton, G.2    Voth, G.3
  • 37
    • 2542436287 scopus 로고
    • Curvature-induced lateral phase separation in two-component vesicles
    • Seifert U. (1993). Curvature-induced lateral phase separation in two-component vesicles. Phys. Rev. Lett. 70: 1335-1338
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 1335-1338
    • Seifert, U.1
  • 39
  • 40
    • 1442281096 scopus 로고    scopus 로고
    • Lipid membranes with free edges
    • 061915 (1-7)
    • Tu, Z., Ou-Yang, Z.: Lipid membranes with free edges. Phys. Rev. E 68, 061915 (1-7) (2003)
    • (2003) Phys. Rev. E , vol.68
    • Tu, Z.1    Ou-Yang, Z.2
  • 41
    • 10244222314 scopus 로고    scopus 로고
    • A geometric theory on the elasticity of bio-membranes
    • Tu Z., Ou-Yang Z. (2004). A geometric theory on the elasticity of bio-membranes. J. Phys. A Math. Gen. 37: 11407-11429
    • (2004) J. Phys. A Math. Gen. , vol.37 , pp. 11407-11429
    • Tu, Z.1    Ou-Yang, Z.2
  • 42
    • 41349122163 scopus 로고    scopus 로고
    • Theoretical analysis of opening-up vesicles with single and two holes
    • 011913 (1-8)
    • Umeda, T., Suezaki, Y., Takiguchi, K., Hotani, H.: Theoretical analysis of opening-up vesicles with single and two holes. Phys. Rev. E 71, 011913 (1-8) (2005)
    • (2005) Phys. Rev. E , vol.71
    • Umeda, T.1    Suezaki, Y.2    Takiguchi, K.3    Hotani, H.4
  • 44
    • 26444612695 scopus 로고    scopus 로고
    • General mathematical frame for open or closed biomembranes I: Equilibrium theory and geometrically constraint equation
    • Yin Y., Yin J., Ni D. (2005). General mathematical frame for open or closed biomembranes I: Equilibrium theory and geometrically constraint equation. J. Math. Biol. 51: 403-413
    • (2005) J. Math. Biol. , vol.51 , pp. 403-413
    • Yin, Y.1    Yin, J.2    Ni, D.3


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