We calculate the induced elastic interaction between pointwise membrane inclusions that locally interact up to quadratic order with the membrane curvature tensor. For isotropic inclusions, we recover the usual interaction proportional to the inverse fourth power of the separation, however with a prefactor showing a non-trivial dependence on the rigidity Γ of the quadratic potential. In the large-Γ limit, corresponding to "hard" inclusions, we recover the standard prefactor first obtained by Goulian et al. (Europhys. Lett. 22, 145 (1993)). In the small-Γ limit, corresponding to "soft" inclusions, we recover the recent result of Marchenko and Misbah (Eur. Phys. J. E 8, 477 (2002)). This shows that the latter result bears no fundamental discrepancy with previous works, but simply corresponds to the limit of soft inclusions. We discuss how the same inclusion can be depicted as hard or soft according to the degree of coarse-graining of the pointwise description. Finally, we argue that conical transmembrane proteins should be fundamentally considered as hard inclusions.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
About this article
Cite this article
Bartolo, D., Fournier, J. Elastic interaction between "hard" or "soft" pointwise inclusions on biological membranes. Eur. Phys. J. E 11, 141–146 (2003). https://doi.org/10.1140/epje/i2002-10154-5
- 87.16.Dg Membranes, bilayers, and vesicles
- 87.15.Kg Molecular interactions; membrane-protein interactions