Theoretical analysis shows curvature affects lateral pressure in lipid membranes, suggesting implications for membrane behavior.
In this paper, we consider the lateral bending of the membrane surface and the lateral pressure profile in the neutral part of the membrane (the neutral part is the part of the membrane where no work is done to change the pressure). They are chosen in such a way as to calculate the given law of curvature change. Next, the lateral pressure along the thickness of the curved membrane is obtained. Computing the pressure profile along the thickness of the monolayer involves some difficulties. The formulas for these and other characteristics such as spontaneous bending moment, Gauss modulus for different phases and torsional modulus Ktw = K2 are given here. The formula for the lateral pressure profile in a membrane with curvature is obtained using the renormalization group.
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A.A. Drozdova (2025) studied this question.
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