You have already added 0 works in your ORCID record related to the merged Research product.
You have already added 0 works in your ORCID record related to the merged Research product.
Micelles Hydrodynamics
Micelles Hydrodynamics
A micelle consists of monolayer of lipid molecules containing hydrophilic head and hydrophobic tail. These amphiphilic molecules in aqueous environment aggregate spontaneously into monomolecular layer held together due to hydrophobic effect by weak non-covalent forces. Micelles are flexible surfaces that show variety of shapes of different topology, but remarkably in mechanical equilibrium conditions they are spherical in shape. The shape and size of a micelle are functions of many variables such as lipid concentration, temperature, ionic strength, etc. Addressing the question, why the shape of micelles is sphere in mechanical equilibrium conditions, analytically proved to be a difficult problem. In the following paper we offer the shortest and elegant analytical proof of micelles spheroidal nature when they are thermodynamically equilibrated with solvent. The formalism presented in this paper can be readily extended to any homogenous surfaces, such are vesicles and membranes.
arXiv: Condensed Matter::Soft Condensed Matter Quantitative Biology::Biomolecules Physics::Biological Physics Physics::Chemical Physics
Biological Physics (physics.bio-ph), Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Physics - Biological Physics, Condensed Matter - Soft Condensed Matter
Biological Physics (physics.bio-ph), Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Physics - Biological Physics, Condensed Matter - Soft Condensed Matter
arXiv: Condensed Matter::Soft Condensed Matter Quantitative Biology::Biomolecules Physics::Biological Physics Physics::Chemical Physics
3714
[1] C. Tanford, The Hydrophobic Effect Formation of Micelles and Biological Membranes (Wiley-Interscience, New York, 1973).
[2] M. Deserno, Chemistry and Physics of Lipids 185, 11 (2015).
[3] U. Seifert, and R. Lipowsky, Chapter 8: Morphology of Vesicles. In: Lipowsky, R., Sackmann, E. (Eds.), Structure and Dynamics of Membranes; vol. 1 of Handbook of Biological Physics (North-Holland, Amsterdam, 1995) pp. 403-463.
[4] U. Seifert, Adv. Phys. 46, 13 (1997).
[5] P. B. Canham, J. Theor. Biol. 26, 61 (1970).
[6] W. Helfrich, Z. Naturforsch. C 28, 693 (1973).
[7] E. A. Evans, Biophys. J. 14, 923 (1974).
[8] Z.C. Ou-Yang, and W. Helfrich, Phys. Rev. Lett. 59, 2486 (1987).
[9] Z.C. Ou-Yang, and W. Helfrich, Phys. Rev. A 39, 5280 (1989).
[10] S. Svetina, and B. Zeks, Eur. Biophys. J. 17, 101 (1989).
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!A micelle consists of monolayer of lipid molecules containing hydrophilic head and hydrophobic tail. These amphiphilic molecules in aqueous environment aggregate spontaneously into monomolecular layer held together due to hydrophobic effect by weak non-covalent forces. Micelles are flexible surfaces that show variety of shapes of different topology, but remarkably in mechanical equilibrium conditions they are spherical in shape. The shape and size of a micelle are functions of many variables such as lipid concentration, temperature, ionic strength, etc. Addressing the question, why the shape of micelles is sphere in mechanical equilibrium conditions, analytically proved to be a difficult problem. In the following paper we offer the shortest and elegant analytical proof of micelles spheroidal nature when they are thermodynamically equilibrated with solvent. The formalism presented in this paper can be readily extended to any homogenous surfaces, such are vesicles and membranes.