, Volume 45, Issue 1, pp 37-56

Curvature effects on membrane-mediated interactions of inclusions

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Abstract

 We study the static, long-range interactions of inclusions embedded in lipid membranes. By using a two-dimensional model, we are able to determine explicitly the closed equilibrium shape of the membrane for any value of the distance between the inclusions; our results show that these shapes cannot be obtained by linearizing the equilibrium equations near a referential shape. Moreover, by computing the membrane-mediated force between the inclusions in given static conditions, we also detect the effects on the interactions due to the curvature and the closed geometry of the membrane.

Received: 2 January 2001 / Revised version: 20 December 2001 / Published online: 26 June 2002