Linear viscoelastic model for bending and torsional modes in fluid membranes

Rheologica Acta

Volumn 47, Issue 8, 2008, Pages 861-871

  Rey, Alejandro D ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Bending and torsion modes; Cosserat surface fluid; Fluid membranes; Linear viscoelastic model

Indexed keywords

BENDING (DEFORMATION); FLUID MECHANICS; GEOMETRY; MATHEMATICAL MODELS; TORSIONAL STRESS; VISCOELASTICITY;

EID: 54049101728     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-008-0259-2     Document Type: Article

References (26)

1. Cuvelier D, Derenyi I, Bassereau P, Nassoy P (2005) Coalescence of membrane tethers: Experiments, theory, and applications. Biophys J 88:2714-2726
2. Edwards DA, Brenner H, Wasan DT (1991) Interfacial transport processes and rheology. Butterworth-Heinemann, Stonheam
3. Eliassen JD (1963) Thermodynamics of low tension and highly curved interfaces. Ph.D thesis, University of Minnesota, Minneapolis, MN
4. Eriksson JC, Ljunggren S (2004) In: Hartland S (ed) Surface and interfacial tension, surfactant science series 119. Marcel Dekker, New York, pp 547-614
5. Gov NS (2006) Diffusion in curved fluid membranes. Phys Rev E 73:041918-1
6. Gurkov TD, Kralchevsky PA (1990) Surface tension and surface energy of curved interfaces and membranes. Colloids Surf 47:45-68
7. Harmandaris VA, Deserno M (2006) A novel method for measuring the bending rigidity of model lipid membranes by simulating tethers. J Chem Phys 125:204905/1-204906/6
8. Hyde S, Andersson S, Larsson K, Blum Z, Landh T, Lindin S, Ninham BW (1997) The language of shape. Elsevier, Amsterdam
9. Jenkins JT (1977) The equations of mechanical equilibrium of a model membrane. SIAM J Appl Math 32:755-764
10. Kralchevsky PA (1990) Micromechanical description of curved interfaces, thin films and membranes. J Colloid Interf Sci 137:217-233
11. Kralchevsky PA, Nagayama K (2001) Particles at fluids interfaces and membranes. Elsevier, Amsterdam
12. Kralchevsky PA, Eriksson JC, Ljunggren S (1994) Adv Colloid Interface Sci 48:1
13. Ljunggren S, Eriksson JC, Kralchevsky PA (1993) Tracing the connection between different expressions for the Laplace pressure of a general curved interface. J Colloid Interface Sci 161(1993):133-137
14. Ljunggren S, Eriksson JC, Kralchevsky PA (1997) Minimization of the free energy of arbitrarily curved membranes. J Colloid Interface Sci 191:424-441
15. Mayer E, Eliassen JD (1971) The inference of interfacial properties from capillary wave experiments. J Colloid Interface Sci 37:228-241
16. Parthasarathy R, Groves JT (2007) Curvature and spatial organization in biological membranes. Soft Matter 3:2433
17. Petrov AG (1999) The Lyotropic state of matter. Gordon and Breach Science, Amsterdam
18. Rey AD (2006a) Polar fluid model of viscoelastic membranes and interfaces. J Colloid Interface Sci 304(1):226-238
19. Rey AD (2006b) A flexoelectric membrane model. Phys Rev E 74(1-1):011710-011711
20. Rey AD (2007) Capillary models for liquid crystal fibers, membranes, films, and drops. Soft Matter 3:1349-1368
21. Slattery JC (1990) Interfacial transport phenomena. Springer, New York
22. Stumpf H, Badur J (1993) On objective surface rates. Q Appl Math 11:161-181
23. Vlahovska PM, Gracia RS (2007) Dynamics of a viscous vesicle in linear flow. Phys Rev E 75:016313-016312
24. Wallace EJ, Hooper NM, Olmstead PD (2005) The kinetics of phase separation in asymmetric membranes. Biophys J 88:4072-4083
25. Waxman AM (1981) A corotational time derivative for surface tensors, constitutive relations and a new measure of surface strain. J Non-Newton Fluid Mech 9:235-255
26. Yoshigaki T (2007) Theoretically predicted effects of Gaussian curvature on lateral diffusion of membrane molecules. Phys Rev E 75:0411901-0411916