Spatial curvature effects on molecular transport by diffusion

Spatial curvature effects on molecular transport by diffusion.

For a substance diffusing on a curved surface, we obtain an explicit relation valid for very small values of the time, between the local concentration, the diffusion coefficient, the intrinsic spatial curvature, and the time. We recover the known solution of Fick's law of diffusion in the flat space limit. In the biological context, this result would be useful in understanding the variations in...

Remeshing by Curvature Driven Diffusion

We present a method to regularize an arbitrary topology mesh M, which defines a piecewise linear approximation of a surface M , with the purpose of having an accurate representation of M : the density of the nodes should correlate with the regularity of M . We use the mean curvature as an intrinsic measure of regularity. Unlike sophisticated parameterization-dependent techniques, our parameteri...

Transport System Effects On Cross Diffusion

Cross diffusion is a phenomena in which a gradient in the concentration of one species induces a flux of another chemical species which was generally been neglected in the study of reaction-diffusion systems. We study the Turing bifurcation of two species reaction transport systems, where particle dispersal is governed by diffusion and cross diffusion. we performed linear stability analysis to ...

Effects of Aluminum Incorporation in Tobermorite Structure on Chloride Diffusion: A Molecular Dynamics Simulation Study

In this paper, the effects of different aluminum to silicon ratios in silicate chains of calcium silicate hydrates (C-S-H) are evaluated on the diffusion coefficient of chloride ions by molecular dynamics method. Tobermorite is a crystalline phase that is used for studying C-S-H properties in nano scale, because of its analogous chemical composition to C-S-H. Aluminum incorporation in C-S-H and...

Modeling Spatial Distribution of Intracellular Organelles by Molecular Motors