论文标题
膜介导的点粒子相互作用的公式在球形生物膜附近
A formula for membrane mediated point particle interactions on near spherical biomembranes
论文作者
论文摘要
我们考虑了带有附着蛋白的生物膜模型。膜由接近球形的连续表面表示，附着的蛋白质被描述为离散的刚性结构，这些结构在有限数量的点上附着在膜上。所得的表面可最大程度地减少二次弹性能（通过迦勒 - 赫尔夫里奇能的扰动获得），但受蛋白质附着施加的点约束。我们计算有关蛋白质构型的能量的导数。蛋白质被限制为通过翻译和旋转正常为参考点的切向切向移动。先前的研究通常将自己限制在几乎平坦的膜和圆形夹杂物中。该衍生物的数值访问表示形式是在某些数值实验中得出和使用的。
We consider a model of a biomembrane with attached proteins. The membrane is represented by a near spherical continuous surface and attached proteins are described as discrete rigid structures which attach to the membrane at a finite number of points. The resulting surface minimises a quadratic elastic energy (obtained by a perturbation of the Canham-Helfrich energy) subject to the point constraints which are imposed by the attachment of the proteins. We calculate the derivative of the energy with respect to protein configurations. The proteins are constrained to move tangentially by translation and by rotation in the axis normal to a reference point. Previous studies have typically restricted themselves to a nearly flat membrane and circular inclusions. A numerically accessible representation of this derivative is derived and employed in some numerical experiments.
