Theoretically predicted effects of Gaussian curvature on lateral diffusion of membrane molecules.

@article{Yoshigaki2007TheoreticallyPE,
  title={Theoretically predicted effects of Gaussian curvature on lateral diffusion of membrane molecules.},
  author={Tomoyoshi Yoshigaki},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={75 4 Pt 1},
  pages={041901}
}
Lateral diffusion on curved biological membranes has been studied theoretically and experimentally. However, how membrane geometries influence the diffusion process remains unclear. Here we show the significance of Gaussian curvature by numerically solving the diffusion equation in a geodesic polar coordinate system with regard to several types of surfaces including elliptic and hyperbolic paraboloids. On surfaces where Gaussian curvature has positive and negative values, diffusion is slower… CONTINUE READING