-
1
-
-
84861492057
-
Buckling instability of viral capsids-A continuum approach
-
S. Aland, A. Rätz, M. Röger, and A. Voigt, Buckling instability of viral capsids-a continuum approach, Multiscale Model. Simul., 10 (2012), pp. 82-110.
-
(2012)
Multiscale Model. Simul.
, vol.10
, pp. 82-110
-
-
Aland, S.1
Rätz, A.2
Röger, M.3
Voigt, A.4
-
2
-
-
0346434985
-
-
5th ed., Garland, Abingdon, UK
-
B. Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts, and P. Walter, Molecular Biology of the Cell, 5th ed., Garland, Abingdon, UK, 2008.
-
(2008)
Molecular Biology of the Cell
-
-
Alberts, B.1
Johnson, A.2
Lewis, J.3
Raff, M.4
Roberts, K.5
Walter, P.6
-
3
-
-
33748644225
-
Budding and fission of a multiphase vesicle
-
J.-M. Allain and M. Ben Amar, Budding and fission of a multiphase vesicle, Eur. Phys. J. E Soft Matter, 20 (2006), pp. 409-420.
-
(2006)
Eur. Phys. J. e Soft Matter
, vol.20
, pp. 409-420
-
-
Allain, J.-M.1
Ben Amar, M.2
-
4
-
-
14744278787
-
Sterol structure determines the separation of phases and the curvature of the liquid-ordered phase in model membranes
-
K. Bacia, P. Schwille, and T Kurzchalia, Sterol structure determines the separation of phases and the curvature of the liquid-ordered phase in model membranes, Proc. Nat. Acad. Sci. USA, 102 (2005), pp. 3272-3277.
-
(2005)
Proc. Nat. Acad. Sci. USA
, vol.102
, pp. 3272-3277
-
-
Bacia, K.1
Schwille, P.2
Kurzchalia, T.3
-
5
-
-
23044525731
-
The elusive chemical potential
-
R. Baierlein, The elusive chemical potential, American J. Phys., 69 (2001), pp. 423-434.
-
(2001)
American J. Phys.
, vol.69
, pp. 423-434
-
-
Baierlein, R.1
-
6
-
-
55049122195
-
Parametric approximation of Willmore flow and related geometric evolution equations
-
J. W. Barrett, H. Garcke, and R. Nürnberg, Parametric approximation of Willmore flow and related geometric evolution equations, SIAM J. Sci. Comput., 31 (2008), pp. 225-253.
-
(2008)
SIAM J. Sci. Comput.
, vol.31
, pp. 225-253
-
-
Barrett, J.W.1
Garcke, H.2
Nürnberg, R.3
-
7
-
-
0242331729
-
Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension
-
T. Baumgart, S. T. Hess, and W. 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.T.2
Webb, W.W.3
-
8
-
-
79956332175
-
-
R. Becker, M. Braack, T. Dunne, D. Meidner, T. Richter, M. Schmich, W. Wollner, and B. Vexler, Gascoigne 3D High Performance Adaptive Finite Element Toolkit, http://www.gascoigne.uni-hd.de, 2002.
-
(2002)
Gascoigne 3D High Performance Adaptive Finite Element Toolkit
-
-
Becker, R.1
Braack, M.2
Dunne, T.3
Meidner, D.4
Richter, T.5
Schmich, M.6
Wollner, W.7
Vexler, B.8
-
10
-
-
77949325543
-
Parametric FEM for geometric biomembranes
-
A. Bonito, R. H. Nochetto, and M. S. Pauletti, Parametric FEM for geometric biomembranes, J. Comput. Phys., 221 (2010), pp. 3171-3188.
-
(2010)
J. Comput. Phys.
, vol.221
, pp. 3171-3188
-
-
Bonito, A.1
Nochetto, R.H.2
Pauletti, M.S.3
-
12
-
-
33746012315
-
Free energy of a nonuniform system: Interfacial free energy
-
J. W. Cahn and J. E. Hilliard, Free energy of a nonuniform system: Interfacial free energy, J. Chem. Phys., 28 (1958), pp. 258-267.
-
(1958)
J. Chem. Phys.
, vol.28
, pp. 258-267
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
13
-
-
0037008547
-
Stresses in lipid membranes
-
R. Capovilla and J. Guven, Stresses in lipid membranes, J. Phys. A, 35 (2002), pp. 6233- 6247.
-
(2002)
J. Phys. A
, vol.35
, pp. 6233-6247
-
-
Capovilla, R.1
Guven, J.2
-
14
-
-
0010664727
-
Mathematical elasticity, vol. II: Theory of plates
-
North-Holland, Amsterdam
-
P. G. Ciarlet, Mathematical Elasticity, Vol. II: Theory of Plates, Stud. Math. Appl. 27, North-Holland, Amsterdam, 1997.
-
(1997)
Stud. Math. Appl.
, vol.27
-
-
Ciarlet, P.G.1
-
15
-
-
73949102790
-
Sulle coordinate curvilinee d'una superficie e dello spazio
-
D. Codazzi, Sulle coordinate curvilinee d'una superficie e dello spazio, Ann. Mat. Pura Appl., 2 (1868), pp. 101-119.
-
(1868)
Ann. Mat. Pura Appl.
, vol.2
, pp. 101-119
-
-
Codazzi, D.1
-
16
-
-
0024975548
-
On surface geometry coupled to morphogen
-
F. W. Cummings, On surface geometry coupled to morphogen, J. Theoret. Biol., 137 (1989), pp. 215-219.
-
(1989)
J. Theoret. Biol.
, vol.137
, pp. 215-219
-
-
Cummings, F.W.1
-
17
-
-
19844369196
-
Computation of geometric partial differential equations and mean curvature flow
-
K. Deckelnick, G. Dziuk, and C. M. Elliott, Computation of geometric partial differential equations and mean curvature flow, Acta Numer., 14 (2005), pp. 139-232.
-
(2005)
Acta Numer.
, vol.14
, pp. 139-232
-
-
Deckelnick, K.1
Dziuk, G.2
Elliott, C.M.3
-
18
-
-
79960636046
-
Cell-membrane mechanics: Vesicles in and tubes out
-
M. Dogterom and G. Koenderink, Cell-membrane mechanics: Vesicles in and tubes out, Nat. Mater., 10 (2011), pp. 561-562.
-
(2011)
Nat. Mater.
, vol.10
, pp. 561-562
-
-
Dogterom, M.1
Koenderink, G.2
-
19
-
-
23844557379
-
Equilibrium shape equation and geometrically permissible condition for two-component lipid bilayer vesicles
-
N. Dong, Y. Yajun, and S. Huiji, Equilibrium shape equation and geometrically permissible condition for two-component lipid bilayer vesicles, J. Biol. Phys., 31 (2005), pp. 135-143.
-
(2005)
J. Biol. Phys.
, vol.31
, pp. 135-143
-
-
Dong, N.1
Yajun, Y.2
Huiji, S.3
-
20
-
-
54249170447
-
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
-
21
-
-
34447646892
-
Surface finite elements for parabolic equations
-
G. Dziuk and C. M. Elliott, Surface finite elements for parabolic equations, J. Comput. Math., 25 (2007), pp. 385-407.
-
(2007)
J. Comput. Math.
, vol.25
, pp. 385-407
-
-
Dziuk, G.1
Elliott, C.M.2
-
22
-
-
53349164104
-
Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method
-
C. Eilks and C. M. Elliott, Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method, J. Comput. Phys., 227 (2008), pp. 9727-9741.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 9727-9741
-
-
Eilks, C.1
Elliott, C.M.2
-
23
-
-
0001475208
-
A second order splitting method for the Cahn-Hilliard equation
-
C. M. Elliott, D. A. French, and F. A. Milner, A second order splitting method for the Cahn-Hilliard equation, Numer. Math., 54 (1989), pp. 575-590.
-
(1989)
Numer. Math.
, vol.54
, pp. 575-590
-
-
Elliott, C.M.1
French, D.A.2
Milner, F.A.3
-
24
-
-
77954144568
-
Modeling and computation of two phase geometric biomembranes using surface finite elements
-
C. Elliott and B. Stinner, Modeling and computation of two phase geometric biomembranes using surface finite elements, J. Comput. Phys., 229 (2010), pp. 6585-6612.
-
(2010)
J. Comput. Phys.
, vol.229
, pp. 6585-6612
-
-
Elliott, C.1
Stinner, B.2
-
25
-
-
78751551708
-
A surface phase field model for two-phase biological membranes
-
C. M. Elliott and B. Stinner, A surface phase field model for two-phase biological membranes, SIAM J. Appl. Math., 70 (2010), pp. 2904-2928.
-
(2010)
SIAM J. Appl. Math.
, vol.70
, pp. 2904-2928
-
-
Elliott, C.M.1
Stinner, B.2
-
28
-
-
84943997802
-
Elastic properties of lipid bilayers: Theory and possible experiments
-
W. Helfrich, Elastic properties of lipid bilayers: Theory and possible experiments, Z. Naturforsch. C, 28 (1973), pp. 693-703.
-
(1973)
Z. Naturforsch. C
, vol.28
, pp. 693-703
-
-
Helfrich, W.1
-
29
-
-
17144456156
-
An arbitrary Lagrangian-Eulerian computing method for all flow speeds
-
C. W. Hirt, A. A. Amsden, and J. L. Cook, An arbitrary Lagrangian-Eulerian computing method for all flow speeds, J. Comput. Phys., 14 (1974), pp. 227-253.
-
(1974)
J. Comput. Phys.
, vol.14
, pp. 227-253
-
-
Hirt, C.W.1
Amsden, A.A.2
Cook, J.L.3
-
30
-
-
34250338920
-
Budding dynamics of individual domains in multicomponent membranes simulated by N-varied dissipative particle dynamics
-
B. Hong, F. Qiu, H. Zhang, and F. YuliZhang, Budding dynamics of individual domains in multicomponent membranes simulated by N-varied dissipative particle dynamics, J. Phys.Chem. B, 111 (2007), pp. 5837-5849.
-
(2007)
J. Phys.Chem. B
, vol.111
, pp. 5837-5849
-
-
Hong, B.1
Qiu, F.2
Zhang, H.3
Yulizhang, F.4
-
31
-
-
78649935703
-
Membrane budding
-
J. H. Hurley, E. Boura, L.-A. Carlson, and B. Rozycki, Membrane budding, Cell, 143 (2010), pp. 875-887.
-
(2010)
Cell
, vol.143
, pp. 875-887
-
-
Hurley, J.H.1
Boura, E.2
Carlson, L.-A.3
Rozycki, B.4
-
32
-
-
0017644098
-
Static equilibrium configurations of a model red blood cell
-
J. T. Jenkins, Static equilibrium configurations of a model red blood cell, J. Math Biol., 4 (1977), pp. 149-169.
-
(1977)
J. Math Biol.
, vol.4
, pp. 149-169
-
-
Jenkins, J.T.1
-
33
-
-
0002217438
-
Phase separation and shape deformation of two-phase membranes
-
Y. Jiang, T. Lookman, and A. Saxena, Phase separation and shape deformation of two-phase membranes, Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics, 61 (2000), pp. R57-R60.
-
(2000)
Phys. Rev. e Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics
, vol.61
-
-
Jiang, Y.1
Lookman, T.2
Saxena, A.3
-
34
-
-
33244463255
-
Chemical potential: A quantity in search of recognition
-
G. Job and F. Herrmann, Chemical potential-a quantity in search of recognition, Eur. J. Phys., 27 (2006), pp. 353-371.
-
(2006)
Eur. J. Phys.
, vol.27
, pp. 353-371
-
-
Job, G.1
Herrmann, F.2
-
35
-
-
0000692927
-
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
-
37
-
-
38349111828
-
Infinitesimal variations of submanifolds
-
Y. Kentaro, Infinitesimal variations of submanifolds, Kodai Math. J., 1 (1978), pp. 33-44.
-
(1978)
Kodai Math. J.
, vol.1
, pp. 33-44
-
-
Kentaro, Y.1
-
38
-
-
0001335174
-
Budding of membranes induced by intramembrane domains
-
L. Lipowsky, Budding of membranes induced by intramembrane domains, J. Phys. France, 2 (1992), pp. 1825-1840.
-
(1992)
J. Phys. France
, vol.2
, pp. 1825-1840
-
-
Lipowsky, L.1
-
39
-
-
70349761410
-
The mechanochemistry of endocytosis
-
J. Liu, Y. Sun, D. G. Drubin, and G. F. Oster, The mechanochemistry of endocytosis, PloS Biol., 7 (2009), e1000204.
-
(2009)
PloS Biol.
, vol.7
-
-
Liu, J.1
Sun, Y.2
Drubin, D.G.3
Oster, G.F.4
-
40
-
-
65449146384
-
Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission
-
J. S. Lowengrub, A. Rätz, and A. Voigt, Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission, Phys. Rev. E Stat. Nonlin. Soft Matter Phys., 79 (2009), 031926.
-
(2009)
Phys. Rev. e Stat. Nonlin. Soft Matter Phys.
, vol.79
, pp. 031926
-
-
Lowengrub, J.S.1
Rätz, A.2
Voigt, A.3
-
41
-
-
28444476999
-
Membrane curvature and mechanisms of dynamic cell membrane remodelling
-
H. T. McMahon and J. L. Gallop, Membrane curvature and mechanisms of dynamic cell membrane remodelling, Nature, 438 (2005), pp. 590-596.
-
(2005)
Nature
, vol.438
, pp. 590-596
-
-
McMahon, H.T.1
Gallop, J.L.2
-
42
-
-
84891354486
-
-
Ph.D. thesis, Heidelberg University, Heidelberg, Germany
-
M. Mercker, Models, Numerics and Simulations of Deforming Biological Surfaces, Ph.D. thesis, Heidelberg University, Heidelberg, Germany, 2012.
-
(2012)
Models, Numerics and Simulations of Deforming Biological Surfaces
-
-
Mercker, M.1
-
43
-
-
84857613159
-
A multiscale approach to curvature modulated sorting in biological membranes
-
M. Mercker, M. Ptashnyk, J. Kühnle, D. Hartmann, M. Weiss, and W. Jäger, A multiscale approach to curvature modulated sorting in biological membranes, J. Theoret. Biol., 301 (2012), pp. 67-82.
-
(2012)
J. Theoret. Biol.
, vol.301
, pp. 67-82
-
-
Mercker, M.1
Ptashnyk, M.2
Kühnle, J.3
Hartmann, D.4
Weiss, M.5
Jäger, W.6
-
44
-
-
34548643185
-
Domain-induced budding in buckling membranes
-
A. Minami and K. Yamada, Domain-induced budding in buckling membranes, Eur. Phys. J. E Soft Matter, 23 (2007), pp. 367-374.
-
(2007)
Eur. Phys. J. e Soft Matter
, vol.23
, pp. 367-374
-
-
Minami, A.1
Yamada, K.2
-
46
-
-
33645088663
-
Preferred equilibrium structures of a smectic-A phase grown from an isotropic phase: Origin of focal conic domains
-
H. Naito, M. Okuda, and O. Y. Zhong-Can, Preferred equilibrium structures of a smectic-A phase grown from an isotropic phase: Origin of focal conic domains, Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscp., 52 (1995), pp. 2095-2098.
-
(1995)
Phys. Rev. e Stat. Phys. Plasmas Fluids Relat. Interdiscp.
, vol.52
, pp. 2095-2098
-
-
Naito, H.1
Okuda, M.2
Zhong-Can, O.Y.3
-
47
-
-
33745752076
-
Curvature-modulated phase separation in lipid bilayer membranes
-
R. Parthasarathy, C. Yu, and J. T. Groves, Curvature-modulated phase separation in lipid bilayer membranes, Langmuir, 22 (2006), pp. 5095-5099.
-
(2006)
Langmuir
, vol.22
, pp. 5095-5099
-
-
Parthasarathy, R.1
Yu, C.2
Groves, J.T.3
-
48
-
-
25444527546
-
An algorithm for the elastic flow of surfaces
-
R. Rusu, An algorithm for the elastic flow of surfaces, Interfaces Free Bound., 7 (2005), pp. 229-239.
-
(2005)
Interfaces Free Bound.
, vol.7
, pp. 229-239
-
-
Rusu, R.1
-
49
-
-
1842741174
-
Bicontinuous surfaces in self-assembling amphiphilic systems
-
Springer, Heidelberg
-
U. Schwarz and G. Gompper, Bicontinuous surfaces in self-assembling amphiphilic systems, in Morphology of Condensed Matter, Lecture Notes in Phys. 600, Springer, Heidelberg, 2002, pp. 107-151.
-
(2002)
Morphology of Condensed Matter, Lecture Notes in Phys.
, vol.600
, pp. 107-151
-
-
Schwarz, U.1
Gompper, G.2
-
50
-
-
0015514472
-
The fluid mosaic model of the structure of cell membranes
-
S. J. Singer and G. L. Nicolson, The fluid mosaic model of the structure of cell membranes, Science, 175 (1972), pp. 720-731.
-
(1972)
Science
, vol.175
, pp. 720-731
-
-
Singer, S.J.1
Nicolson, G.L.2
-
51
-
-
1442299369
-
Phospholipase A2 promotes raft budding and fission from giant liposomes
-
G. Staneva, M. I. Angelova, and K. Koumanov, Phospholipase A2 promotes raft budding and fission from giant liposomes, Chem. Phys. Lipids, 129 (2004), pp. 53-62.
-
(2004)
Chem. Phys. Lipids
, vol.129
, pp. 53-62
-
-
Staneva, G.1
Angelova, M.I.2
Koumanov, K.3
-
52
-
-
7244255733
-
Shape deformation and phase separation dynamics of two-component vesicles
-
T. Taniguchi, Shape deformation 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
-
53
-
-
36749080310
-
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
-
54
-
-
64649097038
-
Composition and threedimensional architecture of the dengue virus replication and assembly sites
-
S. Welsch, S. Miller, I. Romero-Brey, A. Merz, C. Bleck, P. Walther, S. Fuller, C. Antony, J. Krijnse-Locker, and R. Bartenschlager, Composition and threedimensional architecture of the dengue virus replication and assembly sites, Cell Host and Microbe, 5 (2009), pp. 365-375.
-
(2009)
Cell Host and Microbe
, vol.5
, pp. 365-375
-
-
Welsch, S.1
Miller, S.2
Romero-Brey, I.3
Merz, A.4
Bleck, C.5
Walther, P.6
Fuller, S.7
Antony, C.8
Krijnse-Locker, J.9
Bartenschlager, R.10
-
56
-
-
19744368318
-
Shape equations and curvature bifurcations induced by inhomogeneous rigidities in cell membranes
-
Y. Yin, Y. Chen, D. Ni, H. Shi, and Q. Fan, Shape equations and curvature bifurcations induced by inhomogeneous rigidities in cell membranes, J. Biomech., 38 (2005), pp. 1433- 1440.
-
(2005)
J. Biomech.
, vol.38
, pp. 1433-1440
-
-
Yin, Y.1
Chen, Y.2
Ni, D.3
Shi, H.4
Fan, Q.5
-
57
-
-
57749181974
-
Equilibrium theory and geometrical constraint equation for two-component lipid bilayer vesicles
-
Y. Yin and C. Lv, Equilibrium theory and geometrical constraint equation for two-component lipid bilayer vesicles, J. Biol. Phys., 34 (2008), pp. 591-610.
-
(2008)
J. Biol. Phys.
, vol.34
, pp. 591-610
-
-
Yin, Y.1
Lv, C.2
-
58
-
-
41049086700
-
Symmetrical fundamental tensors, differential operators, und integral theorems in differential geometry
-
Y. Yin, J. Wu, and J. Yin, Symmetrical fundamental tensors, differential operators, und integral theorems in differential geometry, Tsinghua Sci. Technol., 13 (2008), pp. 121-126.
-
(2008)
Tsinghua Sci. Technol.
, vol.13
, pp. 121-126
-
-
Yin, Y.1
Wu, J.2
Yin, J.3
-
59
-
-
4243232232
-
Bending energy of vesicle membranes: General expressions for the first, second, and third variation of the shape energy and applications to spheres and cylinders
-
O. Y. Zhong-Can and W. Helfrich, Bending energy of vesicle membranes: General expressions for the first, second, and third variation of the shape energy and applications to spheres and cylinders, Phys. Rev. A, 39 (1989), pp. 5280-5288.
-
(1989)
Phys. Rev. A
, vol.39
, pp. 5280-5288
-
-
Zhong-Can, O.Y.1
Helfrich, W.2
|