-
1
-
-
0037905265
-
Variational models for phase transitions, an approach via Γ-convergence
-
Springer, Berlin
-
Alberti, G.: Variational models for phase transitions, an approach via Γ-convergence. In: Calculus of variations and Partial Differential Equations (Pisa, 1996), pp. 95-114. Springer, Berlin (2000).
-
(2000)
In: Calculus of variations and Partial Differential Equations (Pisa, 1996)
, pp. 95-114
-
-
Alberti, G.1
-
2
-
-
84990585710
-
Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence
-
Ambrosio L., Tortorelli V. M.: Approximation of functionals depending on jumps by elliptic functionals via Γ-convergence. Commun. Pure Appl. Math. 43(8), 999-1036 (1990).
-
(1990)
Commun. Pure Appl. Math.
, vol.43
, Issue.8
, pp. 999-1036
-
-
Ambrosio, L.1
Tortorelli, V.M.2
-
3
-
-
0242331729
-
Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension
-
Baumgart T., Hess S. T., Webb W. W.: Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension. Nature 425, 821-824 (2003).
-
(2003)
Nature
, vol.425
, pp. 821-824
-
-
Baumgart, T.1
Hess, S.T.2
Webb, W.W.3
-
4
-
-
79251519623
-
Approximation of Helfrich's functional via diffuse interfaces
-
Bellettini G., Mugnai L.: Approximation of Helfrich's functional via diffuse interfaces. SIAM J. Math. Anal. 42(6), 2402-2433 (2010).
-
(2010)
SIAM J. Math. Anal.
, vol.42
, Issue.6
, pp. 2402-2433
-
-
Bellettini, G.1
Mugnai, L.2
-
7
-
-
0014709498
-
The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell
-
Canham P. B.: The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell. J. Theor. Biol. 26(1), 61-81 (1970).
-
(1970)
J. Theor. Biol.
, vol.26
, Issue.1
, pp. 61-81
-
-
Canham, P.B.1
-
9
-
-
0027517911
-
Budding and fission of vesicles
-
Döbereiner H. G., Käs J., Noppl D., Sprenger I., Sackmann E.: Budding and fission of vesicles. Biophys. J. 65(4), 1396-1403 (1993).
-
(1993)
Biophys. J.
, vol.65
, Issue.4
, pp. 1396-1403
-
-
Döbereiner, H.G.1
Käs, J.2
Noppl, D.3
Sprenger, I.4
Sackmann, E.5
-
10
-
-
77954144568
-
Modeling and computation of two phase geometric biomembranes using surface finite elements
-
Elliott C. M., Stinner B.: Modeling and computation of two phase geometric biomembranes using surface finite elements. J. Comput. Phys. 229(18), 6585-6612 (2010).
-
(2010)
J. Comput. Phys.
, vol.229
, Issue.18
, pp. 6585-6612
-
-
Elliott, C.M.1
Stinner, B.2
-
11
-
-
78751551708
-
A surface phase field model for two-phase biological membranes
-
Elliott C. M., Stinner B.: A surface phase field model for two-phase biological membranes. SIAM J. Appl. Math. 70(8), 2904-2928 (2010).
-
(2010)
SIAM J. Appl. Math.
, vol.70
, Issue.8
, pp. 2904-2928
-
-
Elliott, C.M.1
Stinner, B.2
-
12
-
-
0016377872
-
Bending resistance and chemically induced moments in membrane bilayers
-
Evans E. A.: Bending resistance and chemically induced moments in membrane bilayers. Biophys. J. 14(12), 923-931 (1974).
-
(1974)
Biophys. J.
, vol.14
, Issue.12
, pp. 923-931
-
-
Evans, E.A.1
-
13
-
-
84943997802
-
Elastic properties of lipid bilayers: theory and possible experiments
-
Helfrich W.: Elastic properties of lipid bilayers: theory and possible experiments. Z. Naturforsch. (C) 28(11-1), 693-703 (1973).
-
(1973)
Z. Naturforsch. (C)
, vol.28
, Issue.1-11
, pp. 693-703
-
-
Helfrich, W.1
-
15
-
-
79957834649
-
Snapping elastic curves as a one-dimensional analogue of two-component lipid bilayers
-
Helmers M.: Snapping elastic curves as a one-dimensional analogue of two-component lipid bilayers. Math. Models Methods Appl. Sci. 21(5), 1027-1042 (2011).
-
(2011)
Math. Models Methods Appl. Sci.
, vol.21
, Issue.5
, pp. 1027-1042
-
-
Helmers, M.1
-
16
-
-
0001015928
-
Shape transformations of vesicles with intramembrane domains
-
Jülicher F., Lipowsky R.: Shape transformations of vesicles with intramembrane domains. Phys. Rev. E 53(3), 2670-2683 (1996).
-
(1996)
Phys. Rev. E
, vol.53
, Issue.3
, pp. 2670-2683
-
-
Jülicher, F.1
Lipowsky, R.2
-
17
-
-
65449146384
-
Phase-field modeling of the dynamics of multicomponent vesicles: spinodal decomposition, coarsening, budding, and fission
-
Lowengrub J., Rätz A., Voigt A.: Phase-field modeling of the dynamics of multicomponent vesicles: spinodal decomposition, coarsening, budding, and fission. Phys. Rev. E 79(3), 0311-926 (2009).
-
(2009)
Phys. Rev. E
, vol.79
, Issue.3
, pp. 0311-0926
-
-
Lowengrub, J.1
Rätz, A.2
Voigt, A.3
-
18
-
-
78651547991
-
A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow
-
Mayer U. F., Simonett G.: A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow. Interface. Free Bound 4(1), 89-109 (2002).
-
(2002)
Interface. Free Bound
, vol.4
, Issue.1
, pp. 89-109
-
-
Mayer, U.F.1
Simonett, G.2
-
19
-
-
34250109116
-
The gradient theory of phase transitions and the minimal interface criterion
-
Modica L.: The gradient theory of phase transitions and the minimal interface criterion. Arch. Ration. Mech. Anal. 98(2), 123-142 (1987).
-
(1987)
Arch. Ration. Mech. Anal.
, vol.98
, Issue.2
, pp. 123-142
-
-
Modica, L.1
-
21
-
-
30244567986
-
Morphology of vesicles
-
North-Holland
-
Seifert, U., Lipowsky, R.: Morphology of vesicles. In: Structure and Dynamics of Membranes, Handbook of Biological Physics, vol. 1, pp. 403-463. North-Holland (1995).
-
(1995)
In: Structure and Dynamics of Membranes, Handbook of Biological Physics
, vol.1
, pp. 403-463
-
-
Seifert, U.1
Lipowsky, R.2
-
22
-
-
0000924897
-
Shape transformations of vesicles Phase diagram for spontaneous-curvature and bilayer-coupling models
-
Seifert U., Berndl K., Lipowsky R.: Shape transformations of vesicles Phase diagram for spontaneous-curvature and bilayer-coupling models. Phys. Rev. A 44(2), 1182-1202 (1991).
-
(1991)
Phys. Rev. A
, vol.44
, Issue.2
, pp. 1182-1202
-
-
Seifert, U.1
Berndl, K.2
Lipowsky, R.3
-
23
-
-
3042776328
-
The Gaussian curvature elastic modulus of N-Monomethylated dioleoylphosphatidylethanolamine: relevance to membrane fusion and lipid phase behavior
-
Siegel D. P., Kozlov M. M.: The Gaussian curvature elastic modulus of N-Monomethylated dioleoylphosphatidylethanolamine: relevance to membrane fusion and lipid phase behavior. Biophys. J 87(1), 366-374 (2004).
-
(2004)
Biophys. J
, vol.87
, Issue.1
, pp. 366-374
-
-
Siegel, D.P.1
Kozlov, M.M.2
-
25
-
-
0032302898
-
Gaussian curvature modulus of an amphiphilic monolayer
-
Templer R. H., Khoo B. J., Seddon J. M.: Gaussian curvature modulus of an amphiphilic monolayer. Langmuir 14(26), 7427-7434 (1998).
-
(1998)
Langmuir
, vol.14
, Issue.26
, pp. 7427-7434
-
-
Templer, R.H.1
Khoo, B.J.2
Seddon, J.M.3
-
26
-
-
47649115549
-
Relating diameter and mean curvature for submanifolds of Euclidean space
-
Topping P.: Relating diameter and mean curvature for submanifolds of Euclidean space. Comment. Math. Helv. 83(3), 539-546 (2008).
-
(2008)
Comment. Math. Helv.
, vol.83
, Issue.3
, pp. 539-546
-
-
Topping, P.1
-
27
-
-
1442281096
-
Lipid membranes with free edges
-
Tu, Z. C., Ou-Yang, Z. C.: Lipid membranes with free edges. Phys. Rev. E 68(6), 061915 (2003).
-
(2003)
Phys. Rev. E
, vol.68
, Issue.6
, pp. 061915
-
-
Tu, Z.C.1
Ou-Yang, Z.C.2
-
28
-
-
36749080310
-
Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches
-
Wang X., Du Q.: Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches. J. Math. Biol. 56(3), 347-371 (2008).
-
(2008)
J. Math. Biol.
, vol.56
, Issue.3
, pp. 347-371
-
-
Wang, X.1
Du, Q.2
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