-
1
-
-
84911941318
-
Equilibrium shape of two-component unilamellar membranes and vesicles
-
Andelman D., Kawakatsu T., Kawasaki K. Equilibrium shape of two-component unilamellar membranes and vesicles. Europhys. Lett. 1992, 19:57-62.
-
(1992)
Europhys. Lett.
, vol.19
, pp. 57-62
-
-
Andelman, D.1
Kawakatsu, T.2
Kawasaki, K.3
-
2
-
-
55049122195
-
Parametric approximation of Willmore flow and related geometric evolution equations
-
Barrett J.W., Garcke H., Nürnberg R. Parametric approximation of Willmore flow and related geometric evolution equations. SIAM J. Sci. Comput. 2008, 31:225-253.
-
(2008)
SIAM J. Sci. Comput.
, vol.31
, pp. 225-253
-
-
Barrett, J.W.1
Garcke, H.2
Nürnberg, R.3
-
3
-
-
0242331729
-
Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension
-
Baumgart T., Hess S., Webb W. Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension. Nature 2003, 425:821-824.
-
(2003)
Nature
, vol.425
, pp. 821-824
-
-
Baumgart, T.1
Hess, S.2
Webb, W.3
-
4
-
-
23244446181
-
Membrane elasticity in giant vesicles with fluid phase coexistence
-
Baumgart T., Das S.L., Webb W., Jenkin J. Membrane elasticity in giant vesicles with fluid phase coexistence. Biophys. J. 2005, 89:1067-1084.
-
(2005)
Biophys. J.
, vol.89
, pp. 1067-1084
-
-
Baumgart, T.1
Das, S.L.2
Webb, W.3
Jenkin, J.4
-
5
-
-
85037221191
-
Tumbling of vesicles under shear flow within an advected-field approach
-
031908-1-031908-5
-
Biben T., Misbah C. Tumbling of vesicles under shear flow within an advected-field approach. Phys. Rev. E 2003, 67:031908-1-031908-5.
-
(2003)
Phys. Rev. E
, vol.67
-
-
Biben, T.1
Misbah, C.2
-
6
-
-
33244464096
-
Phase-field approach to three-dimensional vesicle dynamics
-
041921-1-041921-15
-
Biben T., Kassner K., Misbah C. Phase-field approach to three-dimensional vesicle dynamics. Phys. Rev. E 2005, 72:041921-1-041921-15.
-
(2005)
Phys. Rev. E
, vol.72
-
-
Biben, T.1
Kassner, K.2
Misbah, C.3
-
7
-
-
0034173042
-
Method for efficient shape parametrization of fluid membranes and vesicles
-
Bloor M., Wilson M. Method for efficient shape parametrization of fluid membranes and vesicles. Phys. Rev. E 2000, 61:4218-4229.
-
(2000)
Phys. Rev. E
, vol.61
, pp. 4218-4229
-
-
Bloor, M.1
Wilson, M.2
-
8
-
-
33745944147
-
Discrete Willmore flow
-
M. Desbrun, H. Pottmann (Eds.), Eurographics Symp. Geom. Processing,
-
A. Bobenko, P. Schröder, Discrete Willmore flow, in: M. Desbrun, H. Pottmann (Eds.), Eurographics Symp. Geom. Processing, 2005.
-
(2005)
-
-
Bobenko, A.1
Schröder, P.2
-
10
-
-
85190075523
-
-
The Mathematical Theory of Finite Element Methods, Texts in Applied Mathematics, third ed., Springer,
-
S. Brenner, L. Scott, The Mathematical Theory of Finite Element Methods, Texts in Applied Mathematics, third ed., vol. 15, Springer, 2007.
-
(2007)
, vol.15
-
-
Brenner, S.1
Scott, L.2
-
11
-
-
0014709498
-
The minimum energy of bending as a possible explanation of the biconcave shape of the red blood cell
-
Canham P. The minimum energy of bending as a possible explanation of the biconcave shape of the red blood cell. J. Theor. Biol. 1970, 26:61-81.
-
(1970)
J. Theor. Biol.
, vol.26
, pp. 61-81
-
-
Canham, P.1
-
12
-
-
2942653250
-
Algorithm 832: UMFPACK, an unsymmetric-pattern multifrontal method
-
Davis T.A. Algorithm 832: UMFPACK, an unsymmetric-pattern multifrontal method. ACM Trans. Math. Software 2004, 30:196-199.
-
(2004)
ACM Trans. Math. Software
, vol.30
, pp. 196-199
-
-
Davis, T.A.1
-
13
-
-
19844369196
-
Computation of geometric partial differential equations and mean curvature flow
-
Deckelnick K., Dziuk G., Elliott C.M. Computation of geometric partial differential equations and mean curvature flow. Acta Numer. 2005, 14:139-232.
-
(2005)
Acta Numer.
, vol.14
, pp. 139-232
-
-
Deckelnick, K.1
Dziuk, G.2
Elliott, C.M.3
-
14
-
-
60049098520
-
Higher-order finite element methods and pointwise error estimates for elliptic problems on surfaces
-
Demlow A. Higher-order finite element methods and pointwise error estimates for elliptic problems on surfaces. SIAM J. Numer. Anal. 2009, 47:805-827.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 805-827
-
-
Demlow, A.1
-
15
-
-
3242875567
-
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
-
Du Q., Liu C., Wang X. A phase field approach in the numerical study of the elastic bending energy for vesicle membranes. J. Comput. Phys. 2004, 198:450-468.
-
(2004)
J. Comput. Phys.
, vol.198
, pp. 450-468
-
-
Du, Q.1
Liu, C.2
Wang, X.3
-
16
-
-
29144520935
-
Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
-
Du Q., Liu C., Wang X. Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. J. Comput. Phys. 2006, 212:757-777.
-
(2006)
J. Comput. Phys.
, vol.212
, pp. 757-777
-
-
Du, Q.1
Liu, C.2
Wang, X.3
-
17
-
-
0010974195
-
Finite elements for the Beltrami operator on arbitrary surfaces
-
Springer, S. Hildebrandt, R. Leis (Eds.) Partial differential equations and calculus of variations
-
Dziuk G. Finite elements for the Beltrami operator on arbitrary surfaces. Lecture Notes in Mathematics 1988, vol. 1357:142-155. Springer. S. Hildebrandt, R. Leis (Eds.).
-
(1988)
Lecture Notes in Mathematics
, vol.1357
, pp. 142-155
-
-
Dziuk, G.1
-
18
-
-
54249170447
-
Computational parametric Willmore flow
-
Dziuk G. Computational parametric Willmore flow. Numer. Math. 2008, 111:55-80.
-
(2008)
Numer. Math.
, vol.111
, pp. 55-80
-
-
Dziuk, G.1
-
19
-
-
34447646892
-
Finite elements on evolving surfaces
-
Dziuk G., Elliott C.M. Finite elements on evolving surfaces. IMA J. Numer. Anal. 2007, 25:385-407.
-
(2007)
IMA J. Numer. Anal.
, vol.25
, pp. 385-407
-
-
Dziuk, G.1
Elliott, C.M.2
-
20
-
-
34447646892
-
Surface finite elements for parabolic equations
-
Dziuk G., Elliott C.M. Surface finite elements for parabolic equations. J. Comput. Math. 2007, 25:385-407.
-
(2007)
J. Comput. Math.
, vol.25
, pp. 385-407
-
-
Dziuk, G.1
Elliott, C.M.2
-
21
-
-
53349164104
-
Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method
-
Eilks C., Elliott C.M. Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method. J. Comput. Phys. 2008, 227:9727-9741.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 9727-9741
-
-
Eilks, C.1
Elliott, C.M.2
-
22
-
-
85190074779
-
-
A surface phase field model for two-phase biological membranes, submitted for publlication.
-
C.M. Elliott, B. Stinner, A surface phase field model for two-phase biological membranes, submitted for publlication.
-
-
-
Elliott, C.M.1
Stinner, B.2
-
23
-
-
0016377872
-
Bending resistance and chemically induced moments in membrane bilayers
-
Evans E.A. Bending resistance and chemically induced moments in membrane bilayers. Biophys. J. 1974, 14:923-931.
-
(1974)
Biophys. J.
, vol.14
, pp. 923-931
-
-
Evans, E.A.1
-
24
-
-
33750972883
-
Finite element modeling of liquid bilayer membranes
-
Feng F., Klug W. Finite element modeling of liquid bilayer membranes. J. Comput. Phys. 2006, 220:394-408.
-
(2006)
J. Comput. Phys.
, vol.220
, pp. 394-408
-
-
Feng, F.1
Klug, W.2
-
25
-
-
50949128255
-
Allen-Cahn systems with volume constraints
-
Garcke H., Nestler B., Stinner B., Wendler F. Allen-Cahn systems with volume constraints. Math. Model Methods Appl. Sci. 2008, 18:1347-1381.
-
(2008)
Math. Model Methods Appl. Sci.
, vol.18
, pp. 1347-1381
-
-
Garcke, H.1
Nestler, B.2
Stinner, B.3
Wendler, F.4
-
26
-
-
0003784069
-
Configurational forces as basic concepts of continuum physics
-
Springer-Verlag, New York
-
Gurtin M.E. Configurational forces as basic concepts of continuum physics. Applied Mathematical Sciences 2000, vol. 137. Springer-Verlag, New York.
-
(2000)
Applied Mathematical Sciences
, vol.137
-
-
Gurtin, M.E.1
-
27
-
-
85190071481
-
-
Computations of Form and Stability of Rotating Drops with Finite Elements, Ph.D. Thesis, Faculty for Mathematics, Informatics, and Natural Sciences, University of Aachen,
-
C.-J. Heine, Computations of Form and Stability of Rotating Drops with Finite Elements, Ph.D. Thesis, Faculty for Mathematics, Informatics, and Natural Sciences, University of Aachen, 2003.
-
(2003)
-
-
Heine, C.-J.1
-
28
-
-
72049112403
-
Isoparametric finite element approximation of curvature on hypersurfaces
-
submitted for publication.
-
C.-J. Heine, Isoparametric finite element approximation of curvature on hypersurfaces, J. Comput. Math., submitted for publication.
-
J. Comput. Math.
-
-
Heine, C.-J.1
-
29
-
-
84943997802
-
Elastic properties of lipid bilayers: theory and possible experiments
-
Helfrich W. Elastic properties of lipid bilayers: theory and possible experiments. Z. Naturforsch. 1973, C 28:693-703.
-
(1973)
Z. Naturforsch.
, vol.28 C
, pp. 693-703
-
-
Helfrich, W.1
-
30
-
-
0346167600
-
Minimizing the squared mean curvature integral for surfaces in space forms
-
Hsu L., Kusner R., Sullivan J. Minimizing the squared mean curvature integral for surfaces in space forms. Exp. Math. 1992, 1:191-207.
-
(1992)
Exp. Math.
, vol.1
, pp. 191-207
-
-
Hsu, L.1
Kusner, R.2
Sullivan, J.3
-
31
-
-
0000692927
-
Domain-induced budding of vesicles
-
Jülicher F., Lipowsky R. Domain-induced budding of vesicles. Phys. Rev. Lett. 1993, 70:2964-2967.
-
(1993)
Phys. Rev. Lett.
, vol.70
, pp. 2964-2967
-
-
Jülicher, F.1
Lipowsky, R.2
-
32
-
-
0001015928
-
Shape transformations of vesicles with intramembrane domains
-
Jülicher F., Lipowsky R. Shape transformations of vesicles with intramembrane domains. Phys. Rev. E 1996, 53:2670-2683.
-
(1996)
Phys. Rev. E
, vol.53
, pp. 2670-2683
-
-
Jülicher, F.1
Lipowsky, R.2
-
33
-
-
42649117766
-
Viscous regularization and r-adaptive remeshing for finite element analysis of lipid membrane mechanics
-
Ma L., Klug W. Viscous regularization and r-adaptive remeshing for finite element analysis of lipid membrane mechanics. J. Comput. Phys. 2008, 227:5816-5835.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 5816-5835
-
-
Ma, L.1
Klug, W.2
-
34
-
-
25444527546
-
An algorithm for the elastic flow of surfaces
-
Rusu R. An algorithm for the elastic flow of surfaces. Interface Free Boundaries 2005, 7:229-239.
-
(2005)
Interface Free Boundaries
, vol.7
, pp. 229-239
-
-
Rusu, R.1
-
36
-
-
0030735760
-
Configurations of fluid membranes and vesicles
-
Seifert U. Configurations of fluid membranes and vesicles. Adv. Phys. 1997, 46:1-137.
-
(1997)
Adv. Phys.
, vol.46
, pp. 1-137
-
-
Seifert, U.1
-
37
-
-
7244255733
-
Shape deformations and phase separation dynamics of two-component vesicles
-
Taniguchi T. Shape deformations and phase separation dynamics of two-component vesicles. Phys. Rev. Lett. 1996, 76:4444-4447.
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 4444-4447
-
-
Taniguchi, T.1
-
38
-
-
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 1991, 44:1182-1202.
-
(1991)
Phys. Rev. A
, vol.44
, pp. 1182-1202
-
-
Seifert, U.1
Berndl, K.2
Lipowsky, R.3
-
39
-
-
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. 2008, 56:347-371.
-
(2008)
J. Math. Biol.
, vol.56
, pp. 347-371
-
-
Wang, X.1
Du, Q.2
|