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An efficient and robust numerical algorithm for estimating parameters in Turing systems

Abstract:

We present a new algorithm for estimating parameters in reaction-diffusion systems that display pattern formation via the mechanism of diffusion-driven instability. A Modified Discrete Optimal Control Algorithm (MDOCA) is illustrated with the Schnakenberg and Gierer-Meinhardt reaction-diffusion systems using PDE constrained optimization techniques. The MDOCA algorithm is a modification of a standard variable step gradient algorithm that yields a huge saving in computational cost. The results ...

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Publication status:
Published

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Publisher copy:
10.1016/j.jcp.2010.05.040

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
JOURNAL OF COMPUTATIONAL PHYSICS
Volume:
229
Issue:
19
Pages:
7058-7071
Publication date:
2010-09-20
DOI:
EISSN:
1090-2716
ISSN:
0021-9991
URN:
uuid:3a4c2e68-84a9-474c-a64c-e577f0d2dd19
Source identifiers:
73361
Local pid:
pubs:73361

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