The Moving Grid Finite Element Method Applied to Biological Problems

Anotida Madzvamuse, Roger D. K. Thomas, Toshio Sekimura, Andrew J. Wathen and Philip K. Maini
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Anotida Madzvamuse: Oxford University Computing Laboratory
Roger D. K. Thomas: Franklin & Marshall College, Department of Geosciences
Toshio Sekimura: Chubu University, Department of Biological Chemistry, College of Bioscience and Biotechnology
Andrew J. Wathen: Oxford University Computing Laboratory
Philip K. Maini: Mathematical Institute, Centre for Mathematical Biology

Chapter 5 in Morphogenesis and Pattern Formation in Biological Systems, 2003, pp 59-65 from Springer

Abstract: Summary This paper presents a novel numerical technique, the moving grid finite element method, to solve generalised Turing [20] reaction-diffusion type models on continuously deforming growing domains. Applications to the development of bivalve ligaments and pigmentation colour patterns in the wing of the butterfly Papilio dardanus will be considered, by way of examples.

Keywords: Pattern Formation; Ground Plan; Colour Pattern; Butterfly Wing; Human Frontier Science Program (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-65958-7_5

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DOI: 10.1007/978-4-431-65958-7_5

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