Is there an equation or experimental plot to explain the temperature dependence of surface tension and the temperature dependency of elasticity (elastic modulus) in biological membranes?
As I searched a bit, Egg Yolk Lecithin is a kind of phospholipid found in egg yolk. They are present as minor phospholipids in the cell membrane (≤ 3%). I don't know if its surface tension behaves like the whole cell membrane!
You are right lysolecithin is not a bilayer forming lipid so they will not form a proper membrane. The reference as pointed out by Shahin Sowlati Hashjin demonstrates that multiple effects occur see for example the following said by the authors “…experimental results were complicated by an apparent temperature dependent increase in the solubility of the micellar phase. This resulted in desorption from the surface, with a resultant increase in surface tension.”
Indeed I feel that you address quite a complicated issue, since I assume that different effects are intertwined (fluidity, viscosity, tendency to deformation of bilayers or in the case of surface tension monolayers, changes in adsorption and/or desorption etc.).
I think that the following papers is a good example of the multiple effects that can occur if you look at such complicated matters you are interested in:
Ghatee, M. H., Zare, M., Zolghadr, A. R., & Moosavi, F. (2010). Temperature dependence of viscosity and relation with the surface tension of ionic liquids. Fluid Phase Equilibria, 291(2), 188-194.
My educated guess would be that the temperature dependence is largely depending on acyl chain lengths while the extent of surface tension and elasticity is determined by the head groups.
Excellent catch. This is a well performed paper that highlights some of the aspects involved when looking at temperature dependence and surface tension. Great detailed description of experimental findings. Fig 8A demonstrates the importance of the Tm, a lipid being in a solid or fluid state is an important determining factor.
In relation to elasticity you could consider papers describing surface rheology (not sure whether someone ever studied the kind of temperature dependence you are looking for, possibly the first paper is?). See for example:
Vrânceanu, M., Winkler, K., Nirschl, H., & Leneweit, G. (2008). Surface Rheology and Phase Transitions of Monolayers of Phospholipid/Cholesterol Mixtures. Biophysical Journal, 94, 3924-3934.
Krägel, J., Kretzschmar, G., Li, J. B., Loglio, G., Miller, R., & Möhwald, H. (1996). Surface rheology of monolayers. Thin Solid Films, 284, 361-364.
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