The collective behavior of proteins on biomembranes is usually studied within the spontaneous curvature model. Here we consider a novel approach, which accounts consistently for the liquid-crystalline order of proteins together with the morphology of biomembrane. We show analytically that the anchoring forces exerted on the membrane by a layer of proteins can lead to the membrane bending. We find equilibrium shapes similar to the ones observed during the budding of vesicles and cell division . The predicted instabilities can advance our conceptual understanding of the collective phenomena in biological systems, in particular those with inherent anisotropy.
Collective behavior of proteins on biomembranes is usually studied within the spontaneous curvature model. Here we consider an alternative phenomenological approach, which accounts consistently for partial ordering of proteins as well as the anchoring forces exerted on a membrane by layer of proteins . We show analytically that such anisotropic interactions can drive membrane bending, resulting in non-trivial equilibrium morphologies . The predicted instabilities can advance our conceptual understanding of physical mechanisms behind collective phenomena in biological systems, in particular those with inherent anisotropy.
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