A theory of ordering of elongated and curved proteins on membranes driven by density and curvature

Abstract

Cell membranes interact with a myriad of curvature-active proteins that control membrane morphology and are responsible for mechanosensation and mechanotransduction. Some of these proteins, such as those containing BAR domains,...

Binding of anisotropic curvature-inducing proteins onto membrane tubes

“…This area A exc is expressed as A exc = B 0 +B 2 (cos 2 (θ pp )−1/2)+O(cos 4 (θ pp )) by a Taylor expansion, where θ pp is the angle between the major axes of two ellipses. In our previous study [42], the values of B 0 and B 2 are calculated by a two-parameter fit. In this study, the one-parameter fit of A exc = [4 − b exc (cos 2 (θ pp ) − 1)]a p is used, since the minimum value A min exc = 4a p is obtained at the parallel pairs (θ pp = 0) for any ratio of d el : b exc = 0.840, 1.98, 3.44, and 7.61 at d el = 2, 3, 4, and 7, respectively.…”

Curvature Potential Unveiled Topological Defect Attractors

“…Without the application of external force, BAR domains were found to be oriented perpendicular to the protrusion in order to minimize the elastic energy given by Equation (A12) [52]. This theoretical prediction was recently confirmed in [53,54]. Equation (A12) can also be written as: We can observe that some parts of Equation (A13) are the same as in the extrinsic term given by Equations (A7) and (A8).…”

Dynamic mechanochemical feedback between curved membranes and BAR protein self-organization

“…1c ). To address this, we first focused on our recently developed mean-field density functional theory 30 for the free energy of an ensemble of curved proteins on a membrane as a function of protein area coverage , orientational order as given by a nematic order parameter S , and membrane curvature. This theory accounts for the entropic and steric interactions between proteins and for their bending elasticity, focusing on the scaffolding effect.…”