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Algebraic systems biology: a case study for the Wnt pathway

Abstract:

Steady state analysis of dynamical systems for biological networks give rise to algebraic varieties in high-dimensional spaces whose study is of interest in their own right. We demonstrate this for the shuttle model of the Wnt signaling pathway. Here the variety is described by a polynomial system in 19 unknowns and 36 parameters. It has degree 9 over the parameter space. This case study explores multistationarity, model comparison, dynamics within regions of the state space, identifiability ...

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Publication status:
Accepted
Peer review status:
Peer reviewed

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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:
EP/K041096/1
Publisher:
Springer US Publisher's website
Journal:
Bulletin of Mathematical Biology Journal website
Publication date:
2015-01-01
EISSN:
1522-9602
ISSN:
0092-8240
Source identifiers:
574648
Pubs id:
pubs:574648
UUID:
uuid:41141d9d-fef3-48ab-afb9-3caad2426c5d
Local pid:
pubs:574648
Deposit date:
2015-11-23

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