Abstract
The conditions for instability of the thin liquid film between two plane-parallel membranes were derived taking into account the influence of the membrane tension, the membrane bending elasticity, the film viscosity and the disjoining pressure.
It was shown that the liquid film could be unstable if the negative (attractive) disjoining pressure is predominant. The characteristic timeτ m of growth of perturbation due to thermal or other fluctuations of the membrane shape increases with increasing the film viscosity, the membrane tension and the membrane bending elasticity, and decreasing the film thickness and the negative disjoining pressure. It is of the order of 10−2÷103 sec. When the membranes approach each other at certain value of the average film thicknessh cr called critical, the fastest growing perturbations lead to formation of a liquid film with smaller (or zero) thickness.
It was found that the critical thickness increases with increasing the negative disjoining pressure and the membrane area and decreasing the membrane tension and the bending elasticity having typical values of the order of 10−6÷10−5 cm.
The case of a membrane approaching a solid plane was also considered. Excluding the small differences in numerical coefficients the results are similar to the case of two identical membranes.
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References
Evans, E., R. Skalak, Mechanics and thermodynamics of biomembranes, Clarendon Press (1980).
Nir, S., Van der, Waals interactions between surfaces of biological interest, Progr. Surface Sci.8, 1 (1976).
Nir, S., J. Bentz, A. R. Portis, Jr., Effect of cation concentration and temperature on the rates of aggregation of acidic phospholipid vesicles: application to fusion, Adv. Chem. Series, Bioelectrochem.: ions, surfaces, membranes. Blank, M. ed., No. 188, 75 (1980).
Poste, G., Nicolson, J. L. eds., Membrane fusion. Elsevier North Holland, Biomedical Press, Amsterdam (1978).
Weiss, L., The cell periphery, metastasis and other contact phenomena. North Holland Publishing, Amsterdam (1967).
Weiss, L., J. P. Harlos, Shortterm interactions between cell surfaces. Progr. Surface Sci.1, 355 (1971).
Zimmermann, U., P. Schewrich, G. Pilwat, R. Bentz, Cells with manipulated functions: New perspective for cell Biology, Medicine and Technology. Angew. Chem. Int. Ed. Engl.20, 325 (1981).
Weiss, L., J. P. Harlos, Some speculations on the rate of adhesion of cells to coverslips., J. Theor. Biol.37, 169 (1972).
Ivanov, J. B., Effect of surface mobility on the dynamic behaviour of thin liquid films. Pure Applied Chem.52, 1241 (1980).
Jain, R. K., B. Ivanov, C. Maldarelli, E. Ruckenstein, Instability and rupture of thin liquid films in: Dynamics and instability of fluid interfaces, Sorensen, T. S. ed., Springer-Verlag, Berlin, p. 140 (1979).
Dimitrov, D. S., A hydrodynamic theory of the bilayer membrane formation. Biophys. J.36, 27 (1981).
Dimitrov, D. S., S. Stoilova, A hydrodynamic theory of the bilayer membrane formation and some related phenomena. studia biophysica, Studia Biophysica.90, 103 (1982).
Dimitrov, D. S., L. Weiss, T. T. Traykov, to be published.
Ivanov, J. B., D. S. Dimitrov, Hydrodynamics of thin liquid films. Effect of surface viscosity on thinning and rupture of foam films. Colloid Polymer Sci.252, 982 (1974).
Dimitrov, D. S., J. B. Ivanov, Hydrodynamics of thin liquid films. On the rate of thinning of microscopic films with deformable interfaces. J. Colloid Interface Sci.64, 97 (1978).
Dimitrov, D. S., Asymptotic methods in the hydrodynamics of foam films. PhD dissertation, University of Sofia, Sofia (1976).
Ivanov, J. B., Physicochemical hydrodynamics of thin liquid films. Dr. Sci. dissertation, University of Sofia, Sofia (1977).
Brochard, F., J. F. Lennon, Frequency spectrum of the flicker phenomenon in erythrocytes. J. Physique36, 1035 (1975).
Helfrich, W., Out of plane fluctuations of lipid bilayers. Z. Naturforsch.30c, 871 (1975).
Rand, R. P., V. A. Parsegian, J. A. C. Henry, L. J. Lis, M. McAlister, The effect of cholesterol on measured interaction and compressibility of dipalmitoylphosphatidilcholine bilayers. Canadian J. Biochem.58, 959 (1980).
Bivas, I., A. G. Petrov, Flexoelectric and steric interactions between two bilayer lipid membranes resulting from their curvature fluctuations. J. Theor. Biol.88, 459 (1981).
Helfrich, W., Steric interaction of fluid membranes in multilayer systems. Z. Naturforsch.33a, 305 (1978).
Steinchen, A., A. Sanfeld, Thermodynamic stability of charged surfaces. In the modern theory of capillarity, Goodrich, F. C., Rusanov, A. J. eds., Akademie-Verlag, Berlin, p. 183 (1981).
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Dimitrov, D.S. Instability of thin liquid films between membranes. Colloid & Polymer Sci 260, 1137–1144 (1982). https://doi.org/10.1007/BF01411236
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DOI: https://doi.org/10.1007/BF01411236