A conservative and variation preserving finite volume method for non-overlapping meshes of reaction and diffusion in angiogenesis

作者:

Highlights:

• Reaction and diffusion of growth factors in angiogenesis.

• Reaction and the diffusion meshes are non-overlapping.

• Conservative and reaction-variation preserving finite volume method.

• Handle non-uniform discretization and arbitrary shaped reaction domains.

摘要

•Reaction and diffusion of growth factors in angiogenesis.•Reaction and the diffusion meshes are non-overlapping.•Conservative and reaction-variation preserving finite volume method.•Handle non-uniform discretization and arbitrary shaped reaction domains.

论文关键词:65M08,Conservative,Variation preserving,Non-overlapping meshes,Reaction and diffusion,Growth factor,Angiogenesis

论文评审过程:Received 18 August 2013, Revised 6 April 2014, Available online 26 August 2014.

论文官网地址:https://doi.org/10.1016/j.cam.2014.08.002