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Volumn 230, Issue 22, 2011, Pages 8192-8215

A level set projection model of lipid vesicles in general flows

Author keywords

Fluid membrane; Level set; Lipid vesicle; Numerical method; Projection method

Indexed keywords

NAVIER STOKES EQUATIONS;

EID: 80052679380     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.07.019     Document Type: Article
Times cited : (76)

References (53)
  • 1
    • 41149094114 scopus 로고    scopus 로고
    • Vesicles and red blood cells in shear flow
    • Abkarian M., Viallat A. Vesicles and red blood cells in shear flow. Soft Matter 2008, 4(4):653-657.
    • (2008) Soft Matter , vol.4 , Issue.4 , pp. 653-657
    • Abkarian, M.1    Viallat, A.2
  • 2
    • 0030735760 scopus 로고    scopus 로고
    • Configurations of fluid membranes and vesicles
    • Seifert U. Configurations of fluid membranes and vesicles. Advances in Physics 1997, 46(1):13-137.
    • (1997) Advances in Physics , vol.46 , Issue.1 , pp. 13-137
    • Seifert, U.1
  • 3
    • 32644473647 scopus 로고    scopus 로고
    • Transition to tumbling and two regimes of tumbling motion of a vesicle in shear flow
    • Kantsler V., Steinberg V. Transition to tumbling and two regimes of tumbling motion of a vesicle in shear flow. Physical Review Letters 2006, 96(3):036001.
    • (2006) Physical Review Letters , vol.96 , Issue.3 , pp. 036001
    • Kantsler, V.1    Steinberg, V.2
  • 4
    • 65649088160 scopus 로고    scopus 로고
    • Dynamics of interacting vesicles and rheology of vesicle suspension in shear flow
    • Kantsler V., Segre E., Steinberg V. Dynamics of interacting vesicles and rheology of vesicle suspension in shear flow. EPL 2008, 82(5):58005.
    • (2008) EPL , vol.82 , Issue.5 , pp. 58005
    • Kantsler, V.1    Segre, E.2    Steinberg, V.3
  • 5
    • 1642362625 scopus 로고    scopus 로고
    • Drug delivery systems: entering the mainstream
    • Allen T., Cullis P. Drug delivery systems: entering the mainstream. Science 2004, 303(5665):1818-1822.
    • (2004) Science , vol.303 , Issue.5665 , pp. 1818-1822
    • Allen, T.1    Cullis, P.2
  • 6
    • 0036903937 scopus 로고    scopus 로고
    • Giant vesicles as microreactors for enzymatic MRNA synthesis
    • Fischer A., Franco A., Oberholzer T. Giant vesicles as microreactors for enzymatic MRNA synthesis. Chembiochem 2002, 3(5):409-417.
    • (2002) Chembiochem , vol.3 , Issue.5 , pp. 409-417
    • Fischer, A.1    Franco, A.2    Oberholzer, T.3
  • 8
    • 57149112143 scopus 로고    scopus 로고
    • Noninertial lateral migration of vesicles in bounded poiseuille flow
    • Coupier G., Kaoui B., Podgorski T., Misbah C. Noninertial lateral migration of vesicles in bounded poiseuille flow. Physics of Fluids 2008, 20(11):111702.
    • (2008) Physics of Fluids , vol.20 , Issue.11 , pp. 111702
    • Coupier, G.1    Kaoui, B.2    Podgorski, T.3    Misbah, C.4
  • 10
    • 0015116815 scopus 로고
    • Red cell motions and wall interactions in tube flow
    • Goldsmith H.L. Red cell motions and wall interactions in tube flow. Federation Proceedings 1971, 30(5):1578-1590.
    • (1971) Federation Proceedings , vol.30 , Issue.5 , pp. 1578-1590
    • Goldsmith, H.L.1
  • 11
    • 23244459280 scopus 로고    scopus 로고
    • Dynamics of vesicles in a wall-bounded shear flow
    • Abkarian M., Viallat A. Dynamics of vesicles in a wall-bounded shear flow. Biophysical Journal 2005, 89(2):1055-1066.
    • (2005) Biophysical Journal , vol.89 , Issue.2 , pp. 1055-1066
    • Abkarian, M.1    Viallat, A.2
  • 12
    • 33846659079 scopus 로고    scopus 로고
    • Dynamics of a viscous vesicle in linear flows
    • Vlahovska P., Gracia R. Dynamics of a viscous vesicle in linear flows. Physical Review E 2007, 75(1):016313.
    • (2007) Physical Review E , vol.75 , Issue.1 , pp. 016313
    • Vlahovska, P.1    Gracia, R.2
  • 13
    • 0033871490 scopus 로고    scopus 로고
    • The behavior of closed inextensible membranes in linear and quadratic shear flows
    • Olla P. The behavior of closed inextensible membranes in linear and quadratic shear flows. Physica A 2000, 278(1-2):87-106.
    • (2000) Physica A , vol.278 , Issue.1-2 , pp. 87-106
    • Olla, P.1
  • 14
    • 77952334863 scopus 로고    scopus 로고
    • Monolayer slip effects on the dynamics of a lipid bilayer vesicle in a viscous flow
    • Schwalbe J.T., Vlahovska P.M., Miksis M.J. Monolayer slip effects on the dynamics of a lipid bilayer vesicle in a viscous flow. Journal of Fluid Mechanics 2010, 647:403-419.
    • (2010) Journal of Fluid Mechanics , vol.647 , pp. 403-419
    • Schwalbe, J.T.1    Vlahovska, P.M.2    Miksis, M.J.3
  • 16
    • 33744761151 scopus 로고    scopus 로고
    • Dynamic model and stationary shapes of fluid vesicles
    • Campelo F., Hernandez-Machado A. Dynamic model and stationary shapes of fluid vesicles. European Physical Journal E 2006, 20(1):37-45.
    • (2006) European Physical Journal E , vol.20 , Issue.1 , pp. 37-45
    • Campelo, F.1    Hernandez-Machado, A.2
  • 17
    • 33750972883 scopus 로고    scopus 로고
    • Finite element modeling of lipid bilayer membranes
    • Feng F., Klug W. Finite element modeling of lipid bilayer membranes. Journal of Computational Physics 2006, 220(1):394-408.
    • (2006) Journal of Computational Physics , vol.220 , Issue.1 , pp. 394-408
    • Feng, F.1    Klug, W.2
  • 18
    • 85037221191 scopus 로고    scopus 로고
    • Tumbling of vesicles under shear flow within an advected-field approach
    • Biben T., Misbah C. Tumbling of vesicles under shear flow within an advected-field approach. Physical Review E 2003, 67(3):031908.
    • (2003) Physical Review E , vol.67 , Issue.3 , pp. 031908
    • Biben, T.1    Misbah, C.2
  • 19
    • 29144520935 scopus 로고    scopus 로고
    • 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. Journal of Computational Physics 2006, 212(2):757-777.
    • (2006) Journal of Computational Physics , vol.212 , Issue.2 , pp. 757-777
    • Du, Q.1    Liu, C.2    Wang, X.3
  • 20
    • 64249102506 scopus 로고    scopus 로고
    • Energetic variational approaches in modeling vesicle and fluid interactions
    • Du Q., Liu C., Ryham R., Wang X. Energetic variational approaches in modeling vesicle and fluid interactions. Physica D: Nonlinear Phenomena 2009, 238:923-930.
    • (2009) Physica D: Nonlinear Phenomena , vol.238 , pp. 923-930
    • Du, Q.1    Liu, C.2    Ryham, R.3    Wang, X.4
  • 21
    • 55549123545 scopus 로고    scopus 로고
    • Adaptive finite element method for a phase field bending elasticity model of vesicle membrane deformations
    • Du Q., Zhang J. Adaptive finite element method for a phase field bending elasticity model of vesicle membrane deformations. SIAM Journal on Scientific Computing 2008, 30(3):1634-1657.
    • (2008) SIAM Journal on Scientific Computing , vol.30 , Issue.3 , pp. 1634-1657
    • Du, Q.1    Zhang, J.2
  • 22
    • 77953615531 scopus 로고    scopus 로고
    • Rheology of a dilute two-dimensional suspension of vesicles
    • Ghigliotti G., Biben T., Misbah C. Rheology of a dilute two-dimensional suspension of vesicles. Journal of Fluid Mechanics 2010, 653:489-518.
    • (2010) Journal of Fluid Mechanics , vol.653 , pp. 489-518
    • Ghigliotti, G.1    Biben, T.2    Misbah, C.3
  • 23
    • 36049010323 scopus 로고    scopus 로고
    • Towards a thermodynamically consistent picture of the phase-field model of vesicles: local membrane incompressibility
    • Jamet D., Misbah C. Towards a thermodynamically consistent picture of the phase-field model of vesicles: local membrane incompressibility. Physical Review E 2007, 76:051907.
    • (2007) Physical Review E , vol.76 , pp. 051907
    • Jamet, D.1    Misbah, C.2
  • 24
    • 68549103443 scopus 로고    scopus 로고
    • A numerical method for simulating the dynamics of 3d axisymmetric vesicles suspended in viscous flows
    • Veerapaneni S., Gueyffier D., Biros G., Zorin D. A numerical method for simulating the dynamics of 3d axisymmetric vesicles suspended in viscous flows. Journal of Computational Physics 2009, 228(19):7233-7249.
    • (2009) Journal of Computational Physics , vol.228 , Issue.19 , pp. 7233-7249
    • Veerapaneni, S.1    Gueyffier, D.2    Biros, G.3    Zorin, D.4
  • 25
    • 60049101665 scopus 로고    scopus 로고
    • A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2d
    • Veerapaneni S., Gueyffier D., Zorin D., Biros G. A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2d. Journal of Computational Physics 2009, 228(7):2334-2353.
    • (2009) Journal of Computational Physics , vol.228 , Issue.7 , pp. 2334-2353
    • Veerapaneni, S.1    Gueyffier, D.2    Zorin, D.3    Biros, G.4
  • 26
    • 33847657959 scopus 로고    scopus 로고
    • Leukocyte margination in a model microvessel
    • Freund J.B. Leukocyte margination in a model microvessel. Physics of Fluids 2007, 19(2):023301.
    • (2007) Physics of Fluids , vol.19 , Issue.2 , pp. 023301
    • Freund, J.B.1
  • 28
    • 44449122907 scopus 로고    scopus 로고
    • Swinging and tumbling of elastic capsules in shear flow
    • Kessler S., Finken R., Seifert U. Swinging and tumbling of elastic capsules in shear flow. Journal of Fluid Mechanics 2008, 605:207-226.
    • (2008) Journal of Fluid Mechanics , vol.605 , pp. 207-226
    • Kessler, S.1    Finken, R.2    Seifert, U.3
  • 29
    • 33750931433 scopus 로고    scopus 로고
    • Elastic curvature constants of lipid monolayers and bilayers
    • Marsh D. Elastic curvature constants of lipid monolayers and bilayers. Chemistry and Physics of Lipids 2006, 144(2):146-159.
    • (2006) Chemistry and Physics of Lipids , vol.144 , Issue.2 , pp. 146-159
    • Marsh, D.1
  • 30
  • 31
    • 0001197738 scopus 로고    scopus 로고
    • Fluid membranes in hydrodynamic flow fields: formalism and an application to fluctuating quasispherical vesicles in shear flow
    • Seifert U. Fluid membranes in hydrodynamic flow fields: formalism and an application to fluctuating quasispherical vesicles in shear flow. The European Physical Journal B 1999, 8(3):405-415.
    • (1999) The European Physical Journal B , vol.8 , Issue.3 , pp. 405-415
    • Seifert, U.1
  • 32
    • 78649446845 scopus 로고    scopus 로고
    • A gradient-augmented level set method with an optimally local, coherent advection scheme
    • Nave J., Rosales R., Seibold B. A gradient-augmented level set method with an optimally local, coherent advection scheme. Journal of Computational Physics 2010, 229(10):3802-3827.
    • (2010) Journal of Computational Physics , vol.229 , Issue.10 , pp. 3802-3827
    • Nave, J.1    Rosales, R.2    Seibold, B.3
  • 33
    • 79951508143 scopus 로고    scopus 로고
    • The implicit closest point method for the numerical solution of partial differential equations on surfaces
    • Macdonald C.B., Ruuth S.J. The implicit closest point method for the numerical solution of partial differential equations on surfaces. SIAM Journal on Scientific Computing 2010, 31(6):4330.
    • (2010) SIAM Journal on Scientific Computing , vol.31 , Issue.6 , pp. 4330
    • Macdonald, C.B.1    Ruuth, S.J.2
  • 34
    • 0032631799 scopus 로고    scopus 로고
    • Fast marching methods
    • Sethian J. Fast marching methods. SIAM Review 1999, 41(2):199-235.
    • (1999) SIAM Review , vol.41 , Issue.2 , pp. 199-235
    • Sethian, J.1
  • 35
    • 33750690657 scopus 로고    scopus 로고
    • A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids
    • Min C., Gibou F. A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids. Journal of Computational Physics 2006, 219(2):912-929.
    • (2006) Journal of Computational Physics , vol.219 , Issue.2 , pp. 912-929
    • Min, C.1    Gibou, F.2
  • 37
    • 0000653947 scopus 로고    scopus 로고
    • Level set methods: an overview and some recent results
    • Osher S., Fedkiw R. Level set methods: an overview and some recent results. Journal of Computational Physics 2001, 169(2):463-502.
    • (2001) Journal of Computational Physics , vol.169 , Issue.2 , pp. 463-502
    • Osher, S.1    Fedkiw, R.2
  • 38
    • 42649134830 scopus 로고    scopus 로고
    • Stability and shape evolution of voids and channels due to surface misfit
    • Salac D., Lu W. Stability and shape evolution of voids and channels due to surface misfit. International Journal of Solids and Structures 2008, 45(13):3793-3806.
    • (2008) International Journal of Solids and Structures , vol.45 , Issue.13 , pp. 3793-3806
    • Salac, D.1    Lu, W.2
  • 39
    • 0345829250 scopus 로고    scopus 로고
    • Semi-implicit level set methods for curvature and surface diffusion motion
    • Smereka P. Semi-implicit level set methods for curvature and surface diffusion motion. Journal of Scientific Computing 2003, 19(1-3):439-456.
    • (2003) Journal of Scientific Computing , vol.19 , Issue.1-3 , pp. 439-456
    • Smereka, P.1
  • 40
    • 0030584607 scopus 로고    scopus 로고
    • A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
    • Chang Y., Hou T., Merriman B., Osher S. A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. Journal of Computational Physics 1996, 124(2):449-464.
    • (1996) Journal of Computational Physics , vol.124 , Issue.2 , pp. 449-464
    • Chang, Y.1    Hou, T.2    Merriman, B.3    Osher, S.4
  • 42
    • 0036210688 scopus 로고    scopus 로고
    • Some improvements of the fast marching method
    • Chopp D. Some improvements of the fast marching method. SIAM Journal On Scientific Computing 2001, 23(1):230-244.
    • (2001) SIAM Journal On Scientific Computing , vol.23 , Issue.1 , pp. 230-244
    • Chopp, D.1
  • 43
    • 85189838992 scopus 로고    scopus 로고
    • Another look at velocity extensions in the level set method, SIAM Journal of Scientific Computing, in review.
    • D. Chopp, Another look at velocity extensions in the level set method, SIAM Journal of Scientific Computing, in review.
    • Chopp, D.1
  • 45
    • 0000135764 scopus 로고    scopus 로고
    • Accurate projection methods for the incompressible Navier-Stokes equations
    • Brown D., Cortez R., Minion M. Accurate projection methods for the incompressible Navier-Stokes equations. Journal of Computational Physics 2001, 168(2):464-499.
    • (2001) Journal of Computational Physics , vol.168 , Issue.2 , pp. 464-499
    • Brown, D.1    Cortez, R.2    Minion, M.3
  • 47
    • 0035922242 scopus 로고    scopus 로고
    • A semi-lagrangian high-order method for Navier-Stokes equations
    • Xiu D., Karniadakis G. A semi-lagrangian high-order method for Navier-Stokes equations. Journal of Computational Physics 2001, 172(2):658-684.
    • (2001) Journal of Computational Physics , vol.172 , Issue.2 , pp. 658-684
    • Xiu, D.1    Karniadakis, G.2
  • 48
    • 49749140110 scopus 로고    scopus 로고
    • Level set equations on surfaces via the closest point method
    • Macdonald C.B., Ruuth S.J. Level set equations on surfaces via the closest point method. Journal of Scientific Computing 2008, 35(2):219-240.
    • (2008) Journal of Scientific Computing , vol.35 , Issue.2 , pp. 219-240
    • Macdonald, C.B.1    Ruuth, S.J.2
  • 49
    • 37249003717 scopus 로고    scopus 로고
    • A simple embedding method for solving partial differential equations on surfaces
    • Ruuth S., Merriman B. A simple embedding method for solving partial differential equations on surfaces. Journal of Computational Physics 2008, 227(3):1943-1961.
    • (2008) Journal of Computational Physics , vol.227 , Issue.3 , pp. 1943-1961
    • Ruuth, S.1    Merriman, B.2
  • 51
    • 0020330956 scopus 로고
    • Motion of a tank-treading ellipsoidal particle in a shear-flow
    • Keller S., Skalak R. Motion of a tank-treading ellipsoidal particle in a shear-flow. Journal of Fluid Mechanics 1982, 120:27-47.
    • (1982) Journal of Fluid Mechanics , vol.120 , pp. 27-47
    • Keller, S.1    Skalak, R.2
  • 52
    • 33947621655 scopus 로고    scopus 로고
    • Mesoscale simulation of blood flow in small vessels
    • Bagchi P. Mesoscale simulation of blood flow in small vessels. Biophysical Journal 2007, 92(6):1858-1877.
    • (2007) Biophysical Journal , vol.92 , Issue.6 , pp. 1858-1877
    • Bagchi, P.1
  • 53
    • 15844421247 scopus 로고    scopus 로고
    • Axisymmetric motion of a file of red blood cells through capillaries
    • Pozrikidis C. Axisymmetric motion of a file of red blood cells through capillaries. Physics of Fluids 2005, 17(3):031503.
    • (2005) Physics of Fluids , vol.17 , Issue.3 , pp. 031503
    • Pozrikidis, C.1


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