Rueda-Contreras Mara Denisse, Gallen Andreu F, Romero-Arias J Roberto, Hernandez-Machado Aurora, Barrio Rafael A
Instituto de Física, U.N.A.M., Ap. Postal 101000, 01000, Mexico, DF, Mexico.
Departament Física de la Matèria Condensada, Universitat de Barcelona, 08028, Barcelona, Spain.
Sci Rep. 2021 May 5;11(1):9562. doi: 10.1038/s41598-021-88851-y.
We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simulations agree with the predictions that tubular shapes can break down into multiple vesicles. A dispersion relation obtained with linear analysis predicts the wavelength of the instability and the number of formed vesicles. Finally, a membrane shape diagram is obtained for the different Gaussian and bending modulus, showing different shape regimes.
我们提出了一个三维数学模型来描述膜裂变的动力学过程。该模型基于一个相场方程，该方程包含了高斯曲率对弯曲能量的贡献。通过添加高斯曲率能量项，数值模拟结果与管状形状可分解为多个囊泡的预测相符。通过线性分析得到的色散关系预测了不稳定性的波长和形成的囊泡数量。最后，得到了不同高斯模量和弯曲模量下的膜形状图，展示了不同的形状区域。
