Skip to main content
Log in

Formation of cell protrusions by an electric field: a thermodynamic analysis

  • Published:
European Biophysics Journal Aims and scope Submit manuscript

Abstract

This work gives a thermodynamic analysis of outgrowth extraction from the cell body by a pulling force. The results are applied for a case when the pulling force is generated by an external high-frequency electric field. Two equilibrium conditions are analyzed: internal equilibrium of an outgrowth and equilibrium between the outgrowth and the cell body. In both cases the stability of feasible equilibrium states was studied. The work shows that the curvature of an outgrowth equilibrated with a pulling electric force depends on the squared amplitude of the electric field E 0 2, on the outgrowth length l and on the transmembrane pressure differential ΔP, and that at a sufficiently large transmembrane pressure differential the cylindrical form of the outgrowth loses its stability. Long outgrowths are more stable than short ones. The minimal value of critical pressure differential was estimated. The work also shows that outgrowth extraction from the cell body requires that the applied force exceeds a critical value below which no outgrowth is formed. The value of the electric field at which outgrowth formation is feasible was estimated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Boruvka L, Neumann AW (1977) Generalization of the classical theory of capillarity. J Chem Phys 66: 5464–5476

    Google Scholar 

  • Buff FP (1956) Curved fluid interfaces. I. The generalized Gibbs-Kelvin equation. J Chem Phys 25:146–153

    Google Scholar 

  • Eriksson JC (1980) Thermodynamics of bilayer lipid membranes. In: Rusanov AI, Goodrich FC (eds) The modern theory of capillarity. Khimiya Publishers, Leningrad

    Google Scholar 

  • Gibbs JW (1928) The collected works of Josia Willard Gibbs. Longmans, Green and Co, London

    Google Scholar 

  • Hochmuth RM, Mohandas N, Blackshear Jr PL (1973) Measurement of the elastic modulus for red cell membrane using a fluid mechanical technique. Biophys J 13:747–762

    Google Scholar 

  • Hochmuth RM, Evans EA, Colvard DF (1976) Viscosity of human red cell membrane in plastic flow. Microvasc Res 11:155–159

    Google Scholar 

  • Hochmuth RM, Evans EA (1982a) Extensional flow of erythrocyte membrane from cell body to elastic tether. I. Analysis. Biophys J 39:71–81

    Google Scholar 

  • Hochmuth RM, Wiles, HC, Evans EA, McCown JT (1982b) Extensional flow of erythrocyte membrane from cell body to elastic tether. II. Experiment. Biophys J 39:83–89

    Google Scholar 

  • Inoue S, Tilney LG (1982) The acrosomal reaction of Thyone sperm. I. Changes of the sperm head visualized by high resolution video microscopy. J Cell Biol 93:387–398

    Google Scholar 

  • Kozlov MM, Markin VS (1989a) Definition of force factors for an interface with non-uniform curvature. J Chem Soc Faraday Trans 2 85:261–276

    Google Scholar 

  • Kozlov MM, Leikin SL, Markin VS (1989b) Elastic properties of interfaces. Elasticity moduli and spontaneous geometric characteristics. J Chem Soc Faraday Trans 2 85:277–293

    Google Scholar 

  • Murphy CL (1966) Thermodynamics of low tension and highly curved interfaces. Ph.D. Thesis. University of Minnesota, Engineering, Chemical

  • Oster GF, Perelson AS (1987) The physics of cell motility. J Cell Sci (Suppl) 8:35–54

    Google Scholar 

  • Popov SV, Margolis LB (1988) Formation of cell outgrowths by external force: a model study. J Cell Sci 90:379–389

    Google Scholar 

  • Trinkaus JP (1985) Protrusive activity of the cell surface and the initiation of cell movement during morphogenesis. Exp Biol Med 10:130–173

    Google Scholar 

  • Waugh RE (1982a) Surface viscosity measurements from large bilayer vesicle tether formation. I. Analysis. Biophys J 38:19–27

    Google Scholar 

  • Waugh RE (1982b) Surface viscosity measurements from large bilayer vesicle tether formation. I. Experiments. Biophys J 38:29–37

    Google Scholar 

  • Waugh RE, Hochmuth RM (1987) Mechanical equilibrium of thick, hollow, liquid membrane cylinders. Biophys J 52:391–400

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kozlov, M.M., Kuzmin, P.I. & Popov, S.V. Formation of cell protrusions by an electric field: a thermodynamic analysis. Eur Biophys J 21, 35–45 (1992). https://doi.org/10.1007/BF00195442

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00195442

Key words

Navigation