A stabilized finite element formulation for liquid shells and its application to lipid bilayers

Sauer, Roger A.; Duong, Thang X.; Mandadapu, Kranthi K.; Steigmann, David J.

doi:10.1016/j.jcp.2016.11.004

Title: A stabilized finite element formulation for liquid shells and its application to lipid bilayers

Journal Article · Wed Feb 01 00:00:00 EST 2017 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2016.11.004· OSTI ID:1397821

Sauer, Roger A.; Duong, Thang X.; Mandadapu, Kranthi K.; Steigmann, David J.

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Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SA1822/5-1; GSC 111

OSTI ID:: 1397821

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 330 Journal Issue: C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 40 works

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References (58)

Dynamin and the Actin Cytoskeleton Cooperatively Regulate Plasma Membrane Invagination by BAR and F-BAR Proteins Itoh, Toshiki; Erdmann, Kai S.; Roux, Aurelien Developmental Cell, Vol. 9, Issue 6 https://doi.org/10.1016/j.devcel.2005.11.005	journal	December 2005
Modeling and computation of two phase geometric biomembranes using surface finite elements Elliott, Charles M.; Stinner, Björn Journal of Computational Physics, Vol. 229, Issue 18 https://doi.org/10.1016/j.jcp.2010.05.014	journal	September 2010
Mechanics of the human red blood cell deformed by optical tweezers Dao, M.; Lim, C. T.; Suresh, S. Journal of the Mechanics and Physics of Solids, Vol. 51, Issue 11-12 https://doi.org/10.1016/j.jmps.2003.09.019	journal	November 2003
A Class of Dynamin-like GTPases Involved in the Generation of the Tubular ER Network Hu, Junjie; Shibata, Yoko; Zhu, Peng-Peng Cell, Vol. 138, Issue 3 https://doi.org/10.1016/j.cell.2009.05.025	journal	August 2009
Vesicular instabilities: The prolate-to-oblate transition and other shape instabilities of fluid bilayer membranes Jarić, Marija; Seifert, Udo; Wintz, Wolfgang Physical Review E, Vol. 52, Issue 6 https://doi.org/10.1103/PhysRevE.52.6623	journal	December 1995
Protein-Induced Membrane Curvature Alters Local Membrane Tension Rangamani, Padmini; Mandadap, Kranthi K.; Oster, George Biophysical Journal, Vol. 107, Issue 3 https://doi.org/10.1016/j.bpj.2014.06.010	journal	August 2014
BAR Domains as Sensors of Membrane Curvature: The Amphiphysin BAR Structure Peter, B. J. Science, Vol. 303, Issue 5657 https://doi.org/10.1126/science.1092586	journal	January 2004
Ultrastructural Imaging of Endocytic Sites in Saccharomyces cerevisiae by Transmission Electron Microscopy and Immunolabeling Buser, Christopher; Drubin, David G. Microscopy and Microanalysis, Vol. 19, Issue 2 https://doi.org/10.1017/S1431927612014304	journal	March 2013
Spontaneous tubulation of membranes and vesicles reveals membrane tension generated by spontaneous curvature Lipowsky, Reinhard Faraday Discuss., Vol. 161 https://doi.org/10.1039/C2FD20105D	journal	January 2013
On two-field NURBS-based isogeometric formulation for incompressible media problems Loc, Tran Vinh; Chien, Thai Hoang; Hung, Nguyen Xuan Vietnam Journal of Mechanics, Vol. 35, Issue 3 https://doi.org/10.15625/0866-7136/35/3/900	journal	September 2013
Modeling protein-mediated morphology in biomembranes Agrawal, Ashutosh; Steigmann, David J. Biomechanics and Modeling in Mechanobiology, Vol. 8, Issue 5 https://doi.org/10.1007/s10237-008-0143-0	journal	November 2008
Plasma Membrane Reshaping during Endocytosis Is Revealed by Time-Resolved Electron Tomography Kukulski, Wanda; Schorb, Martin; Kaksonen, Marko Cell, Vol. 150, Issue 3 https://doi.org/10.1016/j.cell.2012.05.046	journal	August 2012
Interaction between surface shape and intra-surface viscous flow on lipid membranes Rangamani, Padmini; Agrawal, Ashutosh; Mandadapu, Kranthi K. Biomechanics and Modeling in Mechanobiology, Vol. 12, Issue 4 https://doi.org/10.1007/s10237-012-0447-y	journal	October 2012
How proteins produce cellular membrane curvature Zimmerberg, Joshua; Kozlov, Michael M. Nature Reviews Molecular Cell Biology, Vol. 7, Issue 1 https://doi.org/10.1038/nrm1784	journal	November 2005
Cell motility: the integrating role of the plasma membrane Keren, Kinneret European Biophysics Journal, Vol. 40, Issue 9 https://doi.org/10.1007/s00249-011-0741-0	journal	August 2011
Rough Sheets and Smooth Tubules Shibata, Yoko; Voeltz, Gia K.; Rapoport, Tom A. Cell, Vol. 126, Issue 3 https://doi.org/10.1016/j.cell.2006.07.019	journal	August 2006
The biogenesis of multivesicular endosomes Gruenberg, Jean; Stenmark, Harald Nature Reviews Molecular Cell Biology, Vol. 5, Issue 4 https://doi.org/10.1038/nrm1360	journal	April 2004
A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes Klöppel, Thomas; Wall, Wolfgang A. Biomechanics and Modeling in Mechanobiology, Vol. 10, Issue 4 https://doi.org/10.1007/s10237-010-0246-2	journal	August 2010
Monte Carlo simulations of fluid vesicles with in-plane orientational ordering Ramakrishnan, N.; Sunil Kumar, P. B.; Ipsen, John H. Physical Review E, Vol. 81, Issue 4 https://doi.org/10.1103/PhysRevE.81.041922	journal	April 2010
A model for the generation and interconversion of ER morphologies Shemesh, Tom; Klemm, Robin W.; Romano, Fabian B. Proceedings of the National Academy of Sciences, Vol. 111, Issue 49 https://doi.org/10.1073/pnas.1419997111	journal	November 2014
A level set projection model of lipid vesicles in general flows Salac, D.; Miksis, M. Journal of Computational Physics, Vol. 230, Issue 22 https://doi.org/10.1016/j.jcp.2011.07.019	journal	September 2011
Internal forces, tension and energy density in tethered cellular membranes Lau, Calvin; Brownell, William E.; Spector, Alexander A. Journal of Biomechanics, Vol. 45, Issue 7 https://doi.org/10.1016/j.jbiomech.2012.01.041	journal	April 2012
The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell Canham, P. B. Journal of Theoretical Biology, Vol. 26, Issue 1 https://doi.org/10.1016/S0022-5193(70)80032-7	journal	January 1970
The finite element method with Lagrangian multipliers Babuška, Ivo Numerische Mathematik, Vol. 20, Issue 3 https://doi.org/10.1007/BF01436561	journal	June 1973
A computational formulation for constrained solid and liquid membranes considering isogeometric finite elements Sauer, Roger A.; Duong, Thang X.; Corbett, Callum J. Computer Methods in Applied Mechanics and Engineering, Vol. 271 https://doi.org/10.1016/j.cma.2013.11.025	journal	April 2014
Fully C1‐conforming subdivision elements for finite deformation thin‐shell analysis Cirak, Fehmi; Ortiz, Michael International Journal for Numerical Methods in Engineering, Vol. 51, Issue 7 https://doi.org/10.1002/nme.182.abs	journal	July 2001
Membrane tension and peripheral protein density mediate membrane shape transitions Shi, Zheng; Baumgart, Tobias Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms6974	journal	January 2015
Numerical observation of nonaxisymmetric vesicles in fluid membranes Jie, Yan; Quanhui, Liu; Jixing, Liu Physical Review E, Vol. 58, Issue 4 https://doi.org/10.1103/PhysRevE.58.4730	journal	October 1998
Endocytic proteins drive vesicle growth via instability in high membrane tension environment Walani, Nikhil; Torres, Jennifer; Agrawal, Ashutosh Proceedings of the National Academy of Sciences https://doi.org/10.1073/pnas.1418491112	journal	March 2015
Eisosomes mark static sites of endocytosis Walther, Tobias C.; Brickner, Jason H.; Aguilar, Pablo S. Nature, Vol. 439, Issue 7079 https://doi.org/10.1038/nature04472	journal	February 2006
Mechanical collapse of confined fluid membrane vesicles Rim, Jee E.; Purohit, Prashant K.; Klug, William S. Biomechanics and Modeling in Mechanobiology, Vol. 13, Issue 6 https://doi.org/10.1007/s10237-014-0572-x	journal	April 2014
Elastic Properties of Lipid Bilayers: Theory and Possible Experiments Helfrich, W. Zeitschrift für Naturforschung C, Vol. 28, Issue 11-12 https://doi.org/10.1515/znc-1973-11-1209	journal	December 1973
Membrane curvature and mechanisms of dynamic cell membrane remodelling McMahon, Harvey T.; Gallop, Jennifer L. Nature, Vol. 438, Issue 7068 https://doi.org/10.1038/nature04396	journal	November 2005
Stabilized finite element formulations for liquid membranes and their application to droplet contact: STABILIZED FE FORMULATIONS FOR LIQUID MEMBRANES Sauer, Roger A. International Journal for Numerical Methods in Fluids, Vol. 75, Issue 7 https://doi.org/10.1002/fld.3905	journal	March 2014
The Many Shapes of Mitochondrial Membranes: Mitochondrial Morphology Griparic, Lorena; van der bliek, Alexander M. Traffic, Vol. 2, Issue 4 https://doi.org/10.1034/j.1600-0854.2001.1r008.x	journal	April 2001
Continuum modeling of cell membranes Baesu, E.; Rudd, R. E.; Belak, J. International Journal of Non-Linear Mechanics, Vol. 39, Issue 3 https://doi.org/10.1016/S0020-7462(02)00193-2	journal	April 2004
Mechanisms shaping cell membranes Kozlov, Michael M.; Campelo, Felix; Liska, Nicole Current Opinion in Cell Biology, Vol. 29 https://doi.org/10.1016/j.ceb.2014.03.006	journal	August 2014
Mechanisms Shaping the Membranes of Cellular Organelles Shibata, Yoko; Hu, Junjie; Kozlov, Michael M. Annual Review of Cell and Developmental Biology, Vol. 25, Issue 1 https://doi.org/10.1146/annurev.cellbio.042308.113324	journal	November 2009
Finite element modeling of lipid bilayer membranes Feng, Feng; Klug, William S. Journal of Computational Physics, Vol. 220, Issue 1 https://doi.org/10.1016/j.jcp.2006.05.023	journal	December 2006
An unbiased computational contact formulation for 3D friction: An unbiased computational contact formulation for 3D friction Sauer, Roger A.; De Lorenzis, Laura International Journal for Numerical Methods in Engineering, Vol. 101, Issue 4 https://doi.org/10.1002/nme.4794	journal	October 2014
A finite element method to compute three-dimensional equilibrium configurations of fluid membranes: Optimal parameterization, variational formulation and applications Rangarajan, Ramsharan; Gao, Huajian Journal of Computational Physics, Vol. 297 https://doi.org/10.1016/j.jcp.2015.05.001	journal	September 2015
Two-Component Coarse-Grained Molecular-Dynamics Model for the Human Erythrocyte Membrane Li, He; Lykotrafitis, George Biophysical Journal, Vol. 102, Issue 1 https://doi.org/10.1016/j.bpj.2011.11.4012	journal	January 2012
Isogeometric finite element data structures based on Bézier extraction of NURBS Borden, Michael J.; Scott, Michael A.; Evans, John A. International Journal for Numerical Methods in Engineering, Vol. 87, Issue 1-5 https://doi.org/10.1002/nme.2968	journal	August 2010
Determinants of endocytic membrane geometry, stability, and scission Kishimoto, T.; Sun, Y.; Buser, C. Proceedings of the National Academy of Sciences, Vol. 108, Issue 44 https://doi.org/10.1073/pnas.1113413108	journal	October 2011
Fluid membrane vesicles in confinement Kahraman, Osman; Stoop, Norbert; Müller, Martin Michael New Journal of Physics, Vol. 14, Issue 9 https://doi.org/10.1088/1367-2630/14/9/095021	journal	September 2012
Eisosome proteins assemble into a membrane scaffold Karotki, Lena; Huiskonen, Juha T.; Stefan, Christopher J. The Journal of Cell Biology, Vol. 195, Issue 5 https://doi.org/10.1083/jcb.201104040	journal	November 2011
Formation and Interaction of Membrane Tubes Derényi, Imre; Jülicher, Frank; Prost, Jacques Physical Review Letters, Vol. 88, Issue 23 https://doi.org/10.1103/PhysRevLett.88.238101	journal	May 2002
Microtubules and the endoplasmic reticulum are highly interdependent structures. Terasaki, M.; Chen, L. B.; Fujiwara, K. Journal of Cell Biology, Vol. 103, Issue 4 https://doi.org/10.1083/jcb.103.4.1557	journal	October 1986
An adaptive meshfree method for phase-field models of biomembranes. Part I: Approximation with maximum-entropy basis functions Rosolen, A.; Peco, C.; Arroyo, M. Journal of Computational Physics, Vol. 249 https://doi.org/10.1016/j.jcp.2013.04.046	journal	September 2013
A finite element method for viscous membranes Tasso, Italo V.; Buscaglia, Gustavo C. Computer Methods in Applied Mechanics and Engineering, Vol. 255 https://doi.org/10.1016/j.cma.2012.10.021	journal	March 2013
Fluid Films with Curvature Elasticity Steigmann, D. J. Archive for Rational Mechanics and Analysis, Vol. 150, Issue 2 https://doi.org/10.1007/s002050050183	journal	December 1999
Viscous regularization and r-adaptive remeshing for finite element analysis of lipid membrane mechanics Ma, Lin; Klug, William S. Journal of Computational Physics, Vol. 227, Issue 11 https://doi.org/10.1016/j.jcp.2008.02.019	journal	May 2008
Formation of Protocell-like Vesicles in a Thermal Diffusion Column Budin, Itay; Bruckner, Raphael J.; Szostak, Jack W. Journal of the American Chemical Society, Vol. 131, Issue 28 https://doi.org/10.1021/ja9029818	journal	July 2009
Simulating vesicle–substrate adhesion using two phase field functions Gu, R.; Wang, X.; Gunzburger, M. Journal of Computational Physics, Vol. 275 https://doi.org/10.1016/j.jcp.2014.07.010	journal	October 2014
On the variational theory of cell-membrane equilibria Steigmann, David; Baesu, Eveline; Rudd, Robert Interfaces and Free Boundaries https://doi.org/10.4171/IFB/83	journal	January 2003
Endoplasmic reticulum membrane tubules are distributed by microtubules in living cells using three distinct mechanisms Waterman-Storer, Clare M.; Salmon, E. D. Current Biology, Vol. 8, Issue 14 https://doi.org/10.1016/S0960-9822(98)70321-5	journal	July 1998
Membrane tube formation from giant vesicles by dynamic association of motor proteins Koster, G.; VanDuijn, M.; Hofs, B. Proceedings of the National Academy of Sciences, Vol. 100, Issue 26 https://doi.org/10.1073/pnas.2531786100	journal	December 2003
Multiscale simulation of erythrocyte membranes Peng, Zhangli; Asaro, Robert J.; Zhu, Qiang Physical Review E, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevE.81.031904	journal	March 2010

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