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Simple computation of reaction-diffusion processes on point clouds.

Abstract:

The study of reaction-diffusion processes is much more complicated on general curved surfaces than on standard Cartesian coordinate spaces. Here we show how to formulate and solve systems of reaction-diffusion equations on surfaces in an extremely simple way, using only the standard Cartesian form of differential operators, and a discrete unorganized point set to represent the surface. Our method decouples surface geometry from the underlying differential operators. As a consequence, it becom...

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Publication status:
Published

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Publisher copy:
10.1073/pnas.1221408110

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
Proceedings of the National Academy of Sciences of the United States of America
Volume:
110
Issue:
23
Pages:
9209-9214
Publication date:
2013-06-05
DOI:
EISSN:
1091-6490
ISSN:
0027-8424
URN:
uuid:026c275a-1f81-43ea-8781-45d33aefa0d5
Source identifiers:
399403
Local pid:
pubs:399403

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