Journal article

A moving grid finite element method applied to a model biological pattern generator

Abstract:: Many problems in biology involve growth. In numerical simulations it can therefore be very convenient to employ a moving computational grid on a continuously deforming domain. In this paper we present a novel application of the moving grid finite element method to compute solutions of reaction-diffusion systems in two-dimensional continuously deforming Euclidean domains. A numerical software package has been developed as a result of this research that is capable of solving generalised Turing models for morphogenesis. © 2003 Elsevier B.V. All rights reserved.

Publication status:: Published

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APA Style

Madzvamuse, A., Wathen, A., & Maini, P. (2003). A moving grid finite element method applied to a model biological pattern generator. JOURNAL OF COMPUTATIONAL PHYSICS, 190(2), 478–500.

MLA Style

Madzvamuse, A, et al. “A Moving Grid Finite Element Method Applied to a Model Biological Pattern Generator.” JOURNAL OF COMPUTATIONAL PHYSICS, vol. 190, no. 2, 2003, pp. 478–500.

Chicago Style

Madzvamuse, A, A Wathen, and P Maini. 2003. “A Moving Grid Finite Element Method Applied to a Model Biological Pattern Generator.” JOURNAL OF COMPUTATIONAL PHYSICS 190 (2): 478–500.
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Publisher copy:: 10.1016/S0021-9991(03)00294-8

Authors

+ Madzvamuse, A More by this author

Role:: Author

+ Wathen, A More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Maini, P More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: JOURNAL OF COMPUTATIONAL PHYSICS More from this journal
Volume:: 190
Issue:: 2
Pages:: 478-500
Publication date:: 2003-09-20
DOI:: 10.1016/S0021-9991(03)00294-8
ISSN:: 0021-9991

Language:: English
Keywords:: reaction-diffusion systems

moving grid finite elements

Papilio dardanus

Turing instability

butterfly wing

colour pattern formation
Pubs id:: pubs:3754
UUID:: uuid:0a12bc0a-45ab-4c96-a0ef-2baa953c2908
Local pid:: pubs:3754
Source identifiers:: 3754
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_0a12bc0a45ab4c96a0ef2baa953c2908

Terms of use

Copyright date:: 2003

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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