Skip to main content
Log in

Entropic part of the boundary energy in a lipid membrane

  • Articles
  • Published:
Biochemistry (Moscow) Supplement Series A: Membrane and Cell Biology Aims and scope

Abstract

Two-phase lipid membrane is modeled with lipids of different bending rigidity of hydrophobic tails: domains consist of “rigid” lipid liquid condensed phase and are surrounded by the “flexible” lipid liquid expanded phase. Within the framework of the earlier proposed model of flexible strings, entropic contribution not including mismatch energy is calculated analytically. “Entropic” line tension is found to be weakly dependent on the domain radius. According to the model, it is shown that merely “entropic mismatch” is not enough for the domain formation. In the paper it is assumed that lipids at the boundary, on the average, have larger area than the ones in the volume. This leads to an increase of energy of boundary lipids. Cases of lipids with nearly the same bending rigidities and with strongly different ones are considered. Free energy is calculated using Taylor expansion on the difference of area of lipids at the domain’s boundary and in the volume. Based on the calculated boundary energy domain stability in the finite system is estimated.

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

Access this article

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Edidin M. 2003. The state of lipid rafts: From model membranes to cells. Annu. Rev Biophys. Biomol. Struct. 32, 257–283.

    Article  PubMed  CAS  Google Scholar 

  2. Yethiraj A., Weisshaar J. 2007. Why are lipid rafts not observed in vivo? Biophys. J. 93, 3113–3119.

    Article  PubMed  CAS  Google Scholar 

  3. Fan J., Sammalkorpi M., Haataja M. 2010. Formation and regulation of lipid microdomains in cell membranes: Theory, modeling, and speculation. FEBS Let. 584, 1678–1684.

    Article  CAS  Google Scholar 

  4. Frolov V.A., Chizmadzhev Y.A., Cohen F.S., Zimmerberg J. 2006. “Entropic traps” in the kinetics of phase separation in multicomponent membranes stabilize nanodomains. Biophys. J. 91, 189–205.

    Article  PubMed  CAS  Google Scholar 

  5. Mukhin S.I., Baoukina S. 2005. Analytical derivation of lateral pressure profile from microscopic model of lipid bilayer. Phys. Rev. E. 88, 061918–6.

    Article  Google Scholar 

  6. Mukhin S.I., Kheyfets B.B. 2010. Analytical approach to thermodynamics of bolalipid membrane. Phys. Rev. E. 82, 051901–9.

    Article  Google Scholar 

  7. Akimov S.A., Kuzmin P.I., Zimmerberg J., Cohen F.S. 2007. Lateral tension increases the line tension between two domains in a lipid bilayer membrane. Phys. Rev. E. 75, 011919-1–011919-8.

    Article  Google Scholar 

  8. Landau L.D., Lifshitz E.M., 1970. Theoretical Physics, Vol. VII. Theory of elasticity. Pergamon, Oxford.

    Google Scholar 

  9. Nelson D. 2002. Defects and Geometry in Condensed Matter Physics. Cambridge, U.K.: Cambridge University Press.

    Google Scholar 

  10. Israelachvili J.N. 1992. Intermolecular and Surface Forces. 2nd ed. London: Academic Press.

    Google Scholar 

  11. Lipid Rafts and Caveolae — From Membrane Biophysics to Cell Biology. 2006. Ed. Fielding C.J. Wiley-VCH.

  12. Stein W.A., Jones E., Oliphant T., et al. Sage Mathematics Software. Vol. 4.6.2. The Sage Development Team. http://www.sagemath.org.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. B. Kheyfets.

Additional information

Original Russian Text © B.B. Kheyfets, S.I. Mukhin, 2011, published in Biologicheskie Membrany, 2011, Vol. 28, No. 5, pp. 423–431.

The article was translated by the authors.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kheyfets, B.B., Mukhin, S.I. Entropic part of the boundary energy in a lipid membrane. Biochem. Moscow Suppl. Ser. A 5, 392–399 (2011). https://doi.org/10.1134/S1990747811050072

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1990747811050072

Keywords

Navigation