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PubMed · 16076952

Numerical computation of diffusion on a surface.

Peter Schwartz·David Adalsteinsson·Phillip Colella·Adam Paul Arkin·Matthew Onsum
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Abstract

We present a numerical method for computing diffusive transport on a surface derived from image data. Our underlying discretization method uses a Cartesian grid embedded boundary method for computing the volume transport in a region consisting of all points a small distance from the surface. We obtain a representation of this region from image data by using a front propagation computation based on level set methods for solving the Hamilton-Jacobi and eikonal equations. We demonstrate that the method is second-order accurate in space and time and is capable of computing solutions on complex surface geometries obtained from image data of cells.

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Biological TransportDiffusionMathematicsModels, BiologicalSurface PropertiesSystems BiologyJournal ArticleResearch Support, Non-U.S. Gov'tResearch Support, U.S. Gov't, Non-P.H.S.

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Peter Schwartz, David Adalsteinsson, Phillip Colella, Adam Paul Arkin, Matthew Onsum. 2005-08-02. Numerical computation of diffusion on a surface.. https://doi.org/10.1073/pnas.0504953102

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