Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches
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[1] Jian Zhang,et al. Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations , 2008, SIAM J. Sci. Comput..
[2] Qiang Du,et al. ANALYSIS OF A PHASE FIELD NAVIER-STOKES VESICLE-FLUID INTERACTION MODEL , 2007 .
[3] Qiang Du,et al. DIFFUSE INTERFACE ENERGIES CAPTURING THE EULER NUMBER: RELAXATION AND RENOMALIZATION ∗ , 2007 .
[4] Qiang Du,et al. Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions , 2006, J. Comput. Phys..
[5] Qiang Du,et al. Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations , 2006 .
[6] Klaus Kassner,et al. Phase-field approach to three-dimensional vesicle dynamics. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[7] W. Webb,et al. Membrane elasticity in giant vesicles with fluid phase coexistence. , 2005, Biophysical journal.
[8] Yajun Yin,et al. General Mathematical Frame for Open or Closed Biomembranes (Part I): Equilibrium Theory and Geometrically Constraint Equation , 2005, Journal of mathematical biology.
[9] Qiang Du,et al. Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation , 2005 .
[10] Qiang Du,et al. A phase field formulation of the Willmore problem , 2005 .
[11] Xiaoqiang Wang,et al. PHASE FIELD MODELS AND SIMULATIONS OF VESICLE BIO-MEMBRANES , 2005 .
[12] K. Takiguchi,et al. Theoretical analysis of opening-up vesicles with single and two holes. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[13] Gregory A Voth,et al. Coupling field theory with mesoscopic dynamical simulations of multicomponent lipid bilayers. , 2004, Biophysical journal.
[14] Q. Du,et al. A phase field approach in the numerical study of the elastic bending energy for vesicle membranes , 2004 .
[15] Kai Simons,et al. Model systems, lipid rafts, and cell membranes. , 2004, Annual review of biophysics and biomolecular structure.
[16] Z. C. Tu,et al. A geometric theory on the elasticity of bio-membranes , 2004, cond-mat/0403309.
[17] Watt W. Webb,et al. Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension , 2003, Nature.
[18] Z. C. Tu,et al. Lipid membranes with free edges. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[19] Ronald Fedkiw,et al. Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.
[20] Long-Qing Chen. Phase-Field Models for Microstructure Evolution , 2002 .
[21] A. Karma,et al. Phase-Field Simulation of Solidification , 2002 .
[22] R. Lipowsky. Domains and Rafts in Membranes – Hidden Dimensions of Selforganization , 2002, Journal of biological physics.
[23] J. Santiago,et al. Lipid membranes with an edge. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[24] S. Osher,et al. Motion of curves in three spatial dimensions using a level set approach , 2001 .
[25] R. Lipowsky,et al. Budding dynamics of multicomponent membranes. , 2001, Physical review letters.
[26] Philippe G. Ciarlet,et al. Theory of Shells , 2000 .
[27] Alex M. Andrew,et al. Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition) , 2000 .
[28] Saxena,et al. Phase separation and shape deformation of two-phase membranes , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[29] Gerhard Gompper,et al. SHAPES AND SHAPE TRANSFORMATIONS OF TWO-COMPONENT MEMBRANES OF COMPLEX TOPOLOGY , 1999 .
[30] Ou-Yang Zhong-can,et al. Geometric methods in the elastic theory of membranes in liquid crystal phases , 1999 .
[31] K. Takiguchi,et al. Opening-up of liposomal membranes by talin. , 1998, Proceedings of the National Academy of Sciences of the United States of America.
[32] D. M. Anderson,et al. DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS , 1997 .
[33] R. Lipowsky,et al. Shape transformations of vesicles with intramembrane domains. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[34] R. Lipowsky. The morphology of lipid membranes. , 1995, Current opinion in structural biology.
[35] J. Käs,et al. Budding and fission of vesicles. , 1993, Biophysical journal.
[36] Seifert,et al. Curvature-induced lateral phase segregation in two-component vesicles. , 1993, Physical review letters.
[37] Reinhard Lipowsky,et al. Budding of membranes induced by intramembrane domains , 1992 .
[38] H. Mcconnell,et al. Line tension between liquid domains in lipid monolayers , 1992 .
[39] Qiang Du,et al. Retrieving Topological Information for Phase Field Models , 2005, SIAM J. Appl. Math..
[40] Sushmita Mukherjee,et al. Membrane domains. , 2004, Annual review of cell and developmental biology.
[41] Gunduz Caginalp,et al. Phase field equations in the singular limit of sharp interface problems , 1992 .
[42] Philippe G. Ciarlet,et al. Introduction to Linear Shell Theory , 1989 .
[43] Manfredo P. do Carmo,et al. Differential geometry of curves and surfaces , 1976 .
[44] W. Flügge. Theory of Shells , 1972 .