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Numerical algebraic geometry for model selection and its application to the life sciences

Abstract:

Researchers working with mathematical models are often confronted by the related problems of parameter estimation, model validation and model selection. These are all optimization problems, well known to be challenging due to nonlinearity, non-convexity and multiple local optima. Furthermore, the challenges are compounded when only partial data are available. Here, we consider polynomial models (e.g. mass-action chemical reaction networks at steady state) and describe a framework for their an...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1098/rsif.2016.0256

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
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Funding agency for:
Harrington, H
Grant:
KUK-C1-013-0
More from this funder
Funding agency for:
Harrington, H
Grant:
KUK-C1-013-0
More from this funder
Funding agency for:
Harrington, H
Grant:
KUK-C1-013-0
More from this funder
Funding agency for:
Harrington, H
Grant:
KUK-C1-013-0
American Institute of Mathematics More from this funder
Publisher:
Royal Society Publisher's website
Journal:
Interface Journal website
Volume:
13
Issue:
123
Publication date:
2016-10-12
Acceptance date:
2016-09-19
DOI:
EISSN:
1742-5662
ISSN:
1742-5689
Keywords:
Pubs id:
pubs:653381
UUID:
uuid:6da12de3-b2e9-49de-9bce-60247d89d1a3
Local pid:
pubs:653381
Source identifiers:
653381
Deposit date:
2016-10-21

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