Details of Grant 

EPSRC Reference:	GR/R70354/01
Title:	Application of identifiability and control to nonlinear physically-based models.
Principal Investigator:	Godfrey, Professor K
Other Investigators:	Chappell, Professor MJ Chapman, Dr M
Researcher Co-Investigators:
Project Partners:	University of Wales Coll of Medicine University of Warwick Victoria University of Manchester, The
Department:	Sch of Engineering
Organisation:	University of Warwick
Scheme:	Standard Research (Pre-FEC)
Starts:	01 October 2001	Ends:	30 September 2004	Value (£):	151,683
EPSRC Research Topic Classifications:	Modelling & simul. of IT sys. Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:	Healthcare No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
The research will deal with problems arising in physically-based (as distinct from data-based) mathematical models of nonlinear systems. The work will be applications-driven, with models from epidemiology, pharmacokinetics and medicine, and electronic nose experiments being considered.Two main problems will be tackled, the first being the control of nonlinear parametric models. Control problems specific to the applications areas will be considered, for example, the control of the spread of foot-and-mouth disease and mastitis, and the improved control of cancer therapy using topotecan, an anticancer agent. The second problem to be considered is the structural identifiability of such models, essentially determining whether any unknown parameters present in the models could be identified from a particular input-output experiment if perfect data were available. Three aspects will be examined, the first being the generalisation of a well known approach, based on similarity transformations, to deal with specific inputs and with nonlinear output (measurement) equations (which occur in some of the applications areas). Secondly, the role of symbolic manipulation packages (such as MAPLE and MATHEMATICA) in identifiability analysis for nonlinear models will be assessed. Given the recent rapid developments in these packages, it seems likely that these packages can now be used more effectively in this analysis. The third aspect to be examined is exactly how to proceed should a model prove to be unidentifiable. Throughout, the link between control and identifiability of model parameters will be considered.
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Organisation Website:	http://www.warwick.ac.uk