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Volumn 70, Issue 8, 2010, Pages 2904-2928

A surface phase field model for two-phase biological membranes

Author keywords

Biomembrane; Matched asymptotic expansions; Phase field method

Indexed keywords

ASYMPTOTIC EXPANSION; BIOMEMBRANES; DIFFUSE INTERFACE MODELS; ELASTIC BENDING ENERGY; EQUILIBRIUM SHAPE; EULER-LAGRANGE EQUATIONS; HYPERSURFACE; INTERFACE THICKNESS; MATCHED ASYMPTOTIC EXPANSION; MEMBRANE ENERGY; PHASE FIELD METHODOLOGIES; PHASE FIELD METHODS; SHARP INTERFACE MODEL; SURFACE PHASE; THIN LAYERS;

EID: 78751551708     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/090779917     Document Type: Article
Times cited : (70)

References (36)
  • 1
    • 50249153490 scopus 로고    scopus 로고
    • Coexistent fluid-phase equilibria in biomembranes with bending elasticity
    • A. AGRAWAL AND D. STEIGMANN, Coexistent fluid-phase equilibria in biomembranes with bending elasticity, J. Elasticity, 93 (2008), pp. 63-80.
    • (2008) J. Elasticity , vol.93 , pp. 63-80
    • Agrawal, A.1    Steigmann, D.2
  • 2
    • 0001246518 scopus 로고
    • On the first variation of a varifold
    • W. ALLARD, On the first variation of a varifold, Ann. of Math. (2), 95 (1972), pp. 417-491.
    • (1972) Ann. of Math. , vol.95 , pp. 417-491
    • Allard, W.1
  • 3
    • 84911941318 scopus 로고
    • Equilibrium shape of two-component unilamellar membranes and vesicles
    • D. ANDELMAN, T. KAWAKATSU, AND K. KAWASAKI, Equilibrium shape of two-component unilamellar membranes and vesicles, Europhys. Lett. EPL, 19 (1992), pp. 57-62.
    • (1992) Europhys. Lett. EPL , vol.19 , pp. 57-62
    • Andelman, D.1    Kawakatsu, T.2    Kawasaki, K.3
  • 4
    • 64949158630 scopus 로고    scopus 로고
    • Relaxation dynamics of fluid membranes
    • article 031915
    • M. ARROYO AND A. DESIMONE, Relaxation dynamics of fluid membranes, Phys. Rev. E, 19 (2009), article 031915.
    • (2009) Phys. Rev. E , vol.19
    • Arroyo, M.1    Desimone, A.2
  • 5
    • 23244446181 scopus 로고    scopus 로고
    • Membrane elasticity in giant vesicles with fluid phase coexistence
    • T. BAUMGART, S. DAS, W. WEBB, AND J. JENKINS, Membrane elasticity in giant vesicles with fluid phase coexistence, Biophys. J., 89 (2005), pp. 1067-1084.
    • (2005) Biophys. J. , vol.89 , pp. 1067-1084
    • Baumgart, T.1    Das, S.2    Webb, W.3    Jenkins, J.4
  • 6
    • 0242331729 scopus 로고    scopus 로고
    • Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension
    • T. BAUMGART, S. HESS, AND W. WEBB, Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension, Nature, 425 (2003), pp. 821-824.
    • (2003) Nature , vol.425 , pp. 821-824
    • Baumgart, T.1    Hess, S.2    Webb, W.3
  • 7
    • 34548168510 scopus 로고    scopus 로고
    • Model for curvature-driven pearling instability in membranes
    • article 088101
    • F. CAMPELO AND A. A. HERNÁNDEZ-MACHADO, Model for curvature-driven pearling instability in membranes, Phys. Rev. Lett., 99 (2007), article 088101.
    • (2007) Phys. Rev. Lett. , vol.99
    • Campelo, F.1    Hernández-Machado, A.A.2
  • 8
    • 0014709498 scopus 로고
    • The minimum energy of bending as a possible explanation of the biconcave shape of the red blood cell
    • P. CANHAM, The minimum energy of bending as a possible explanation of the biconcave shape of the red blood cell, J. Theoret. Biol., 26 (1970), pp. 61-81.
    • (1970) J. Theoret. Biol. , vol.26 , pp. 61-81
    • Canham, P.1
  • 10
    • 77951728958 scopus 로고    scopus 로고
    • Neck geometry and shape transitions in vesicles with co-existing fluid phases: Role of Gaussian curvature stiffness vs. spontaneous curvature
    • article 48003
    • S. DAS, J. JENKINS, AND T. BAUMGART, Neck geometry and shape transitions in vesicles with co-existing fluid phases: Role of Gaussian curvature stiffness vs. spontaneous curvature, Europhys. Lett. EPL, 86 (2009), article 48003.
    • (2009) Europhys. Lett. EPL , vol.86
    • Das, S.1    Jenkins, J.2    Baumgart, T.3
  • 11
    • 38349103027 scopus 로고    scopus 로고
    • A higher-order boundary layer analysis for lipid vesicles with two fluid domains
    • S. DAS AND J. JENKINS, A higher-order boundary layer analysis for lipid vesicles with two fluid domains, J. Fluid Mech., 597 (2008), pp. 429-448.
    • (2008) J. Fluid Mech. , vol.597 , pp. 429-448
    • Das, S.1    Jenkins, J.2
  • 12
    • 34447646892 scopus 로고    scopus 로고
    • Finite elements on evolving surfaces
    • G. DZIUK AND C. M. ELLIOTT, Finite elements on evolving surfaces, IMA J. Numer. Anal., 25 (2007), pp. 385-407.
    • (2007) IMA J. Numer. Anal. , vol.25 , pp. 385-407
    • Dziuk, G.1    Elliott, C.M.2
  • 13
    • 54249170447 scopus 로고    scopus 로고
    • Computational parametric Willmore flow
    • G. DZIUK, Computational parametric Willmore flow, Numer. Math., 111 (2008), pp. 55-80.
    • (2008) Numer. Math. , vol.111 , pp. 55-80
    • Dziuk, G.1
  • 14
    • 85066350327 scopus 로고    scopus 로고
    • Modeling and computation of two phase geometric biomembranes using surface finite elements
    • to appear
    • C. ELLIOTT AND B. STINNER, Modeling and computation of two phase geometric biomembranes using surface finite elements, J. Comput. Phys., to appear.
    • J. Comput. Phys.
    • Elliott, C.1    Stinner, B.2
  • 15
    • 3543053401 scopus 로고    scopus 로고
    • The nonlinear theory of elastic shells with phase transitions
    • V. EREMEYEV AND W. PIETRASZKIEWICZ, The nonlinear theory of elastic shells with phase transitions, J. Elasticity, 74 (2004), pp. 67-86.
    • (2004) J. Elasticity , vol.74 , pp. 67-86
    • Eremeyev, V.1    Pietraszkiewicz, W.2
  • 16
    • 0016377872 scopus 로고
    • Bending resistance and chemically induced moments in membrane bilayers
    • E. EVANS, Bending resistance and chemically induced moments in membrane bilayers, Biophys. J., 14 (1974), pp. 923-931.
    • (1974) Biophys. J. , vol.14 , pp. 923-931
    • Evans, E.1
  • 17
    • 0003016830 scopus 로고
    • Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter
    • P. FIFE AND O. PENROSE, Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter, Electron. J. Differential Equations, 16 (1995), pp. 1-49.
    • (1995) Electron. J. Differential Equations , vol.16 , pp. 1-49
    • Fife, P.1    Penrose, O.2
  • 18
    • 33747199976 scopus 로고    scopus 로고
    • Second order phase field asymptotics for multi-component systems
    • H. GARCKE AND B. STINNER, Second order phase field asymptotics for multi-component systems, Interfaces Free Bound., 8 (2006), pp. 131-157.
    • (2006) Interfaces Free Bound. , vol.8 , pp. 131-157
    • Garcke, H.1    Stinner, B.2
  • 19
    • 0003784069 scopus 로고    scopus 로고
    • Configurational forces as basic concepts in continuum physics
    • Springer, New York
    • M. Gurtin, Configurational Forces as Basic Concepts in Continuum Physics, Appl. Math. Sci. 137, Springer, New York, 2000.
    • (2000) Appl. Math. Sci. , vol.137
    • Gurtin, M.1
  • 20
    • 84943997802 scopus 로고
    • Elastic properties of lipid bilayers: Theory and possible experiments
    • W. HELFRICH, Elastic properties of lipid bilayers: Theory and possible experiments, Z. Naturforschung, C 28 (1973), pp. 693-703.
    • (1973) Z. Naturforschung C , vol.28 , pp. 693-703
    • Helfrich, W.1
  • 22
    • 0027594585 scopus 로고
    • Energy-minimizing deformations of elastic sheets with bending stiffness
    • M. HILGERS AND A. PIPKIN, Energy-minimizing deformations of elastic sheets with bending stiffness, J. Elasticity, 31 (1993), pp. 125-139.
    • (1993) J. Elasticity , vol.31 , pp. 125-139
    • Hilgers, M.1    Pipkin, A.2
  • 23
    • 0000692927 scopus 로고
    • Domain-induced budding of vesicles
    • F. JÜLICHER AND R. LIPOWSKY, Domain-induced budding of vesicles, Phys. Rev. Lett., 70 (1993), pp. 2964-2967.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2964-2967
    • Jülicher, F.1    Lipowsky, R.2
  • 24
    • 0001015928 scopus 로고    scopus 로고
    • Shape transformations of vesicles with intramembrane domains
    • F. JÜLICHER AND R. LIPOWSKY, Shape transformations of vesicles with intramembrane domains, Phys. Rev. E, 53 (1996), pp. 2670-2683.
    • (1996) Phys. Rev. E , vol.53 , pp. 2670-2683
    • Jülicher, F.1    Lipowsky, R.2
  • 25
    • 0000693828 scopus 로고
    • Phase transitions and shapes of two component membranes and vesicles I: Strong segregation limit
    • T. KAWAKATSU, D. ANDELMAN, K. KAWASAKI, AND T. TANIGUCHI, Phase transitions and shapes of two component membranes and vesicles I: Strong segregation limit, J. Phys II, 3 (1993), pp. 971-997.
    • (1993) J. Phys II , vol.3 , pp. 971-997
    • Kawakatsu, T.1    Andelman, D.2    Kawasaki, K.3    Taniguchi, T.4
  • 26
    • 65449146384 scopus 로고    scopus 로고
    • Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission
    • article 031926
    • J. LOWENGRUB, A. RÄTZ, AND A. VOIGT, Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission, Phys. Rev. E, 79 (2009), article 031926.
    • (2009) Phys. Rev. E , vol.79
    • Lowengrub, J.1    Rätz, A.2    Voigt, A.3
  • 27
    • 33846039198 scopus 로고    scopus 로고
    • Thermo-elasticity and adhesion as regulators of cell membrane architecture and function
    • E. SACKMANN, Thermo-elasticity and adhesion as regulators of cell membrane architecture and function, J. Phys.: Condens. Matter, 18 (2006), pp. R785-R825.
    • (2006) J. Phys.: Condens. Matter , vol.18
    • Sackmann, E.1
  • 28
    • 2542436287 scopus 로고
    • Curvature-induced lateral phase segregation in two-component vesicles
    • U. SEIFERT, Curvature-induced lateral phase segregation in two-component vesicles, Phys. Rev. Lett., 70 (1993), pp. 1335-1338.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 1335-1338
    • Seifert, U.1
  • 29
    • 0030735760 scopus 로고    scopus 로고
    • Configurations of fluid membranes and vesicles
    • U. SEIFERT, Configurations of fluid membranes and vesicles, Adv. Phys., 46 (1997), pp. 1-137.
    • (1997) Adv. Phys. , vol.46 , pp. 1-137
    • Seifert, U.1
  • 30
    • 0000174468 scopus 로고
    • Phase transitions and shapes of two component membranes and vesicles II: Weak segregation limit
    • T. TANIGUCHI, K. KAWASAKI, D. ANDELMAN, AND T. KAWAKATSU, Phase transitions and shapes of two component membranes and vesicles II: Weak segregation limit, J. Phys. II, 4 (1994), pp. 1333-1362.
    • (1994) J. Phys. II , vol.4 , pp. 1333-1362
    • Taniguchi, T.1    Kawasaki, K.2    Andelman, D.3    Kawakatsu, T.4
  • 31
    • 7244255733 scopus 로고    scopus 로고
    • Shape deformations and phase separation dynamics of two-component vesicles
    • T. TANIGUCHI, Shape deformations and phase separation dynamics of two-component vesicles, Phys. Rev. Lett., 76 (1996), pp. 4444-4447.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 4444-4447
    • Taniguchi, T.1
  • 32
    • 10244222314 scopus 로고    scopus 로고
    • A geometric theory on the elasticity of bio-membranes
    • Z. TU AND Z. OU-YANG, A geometric theory on the elasticity of bio-membranes, J. Phys. A, 37 (2004), pp. 11407-11429.
    • (2004) J. Phys. A , vol.37 , pp. 11407-11429
    • Tu, Z.1    Ou-Yang, Z.2
  • 34
    • 47149087699 scopus 로고    scopus 로고
    • Elastic theory of low-dimensional continua and its applications in bio- and nano-structures
    • Z. TU AND Z. OU-YANG, Elastic theory of low-dimensional continua and its applications in bio- and nano-structures, J. Comput. Theo. Nanosc., 5 (2008), pp. 422-448.
    • (2008) J. Comput. Theo. Nanosc. , vol.5 , pp. 422-448
    • Tu, Z.1    Ou-Yang, Z.2
  • 35
    • 36749080310 scopus 로고    scopus 로고
    • Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches
    • X. WANG AND Q. DU, Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches, J. Math. Biol., 56 (2008), pp. 347-371.
    • (2008) J. Math. Biol. , vol.56 , pp. 347-371
    • Wang, X.1    Du, Q.2
  • 36
    • 26444612695 scopus 로고    scopus 로고
    • General mathematical frame for open or closed biomembranes (part i): Equilibrium theory and geometrically constraint equation
    • Y. YIN, J. YIN, AND D. NI, General mathematical frame for open or closed biomembranes (part i): Equilibrium theory and geometrically constraint equation, J. Math. Biol., 51 (2005), pp. 403-413.
    • (2005) J. Math. Biol. , vol.51 , pp. 403-413
    • Yin, Y.1    Yin, J.2    Ni, D.3


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