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Details of Grant 

EPSRC Reference: GR/S31051/01
Title: Development and Validation of Mathematical Models for in Vitro Tissue Growth
Principal Investigator: King, Professor J
Other Investigators:
Shakesheff, Professor K Jensen, Professor O Byrne, Professor H
Researcher Co-Investigators:
Project Partners:
Department: Sch of Mathematical Sciences
Organisation: University of Nottingham
Scheme: Standard Research (Pre-FEC)
Starts: 09 February 2004 Ends: 08 August 2006 Value (£): 124,532
EPSRC Research Topic Classifications:
Continuum Mechanics Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors Pharmaceuticals and Biotechnology
Related Grants:
Panel History:
Panel DatePanel NameOutcome
28 Feb 2003 Mathematics Prioritisation Panel (Science) Feb 03 Deferred
Summary on Grant Application Form
Mathematical models for tissue growth in a bioreactor will be constructed. The models will primarily involve parabolic (reaction-convection-diffusion) models of mass transport and elliptic equations describing growth-driven tissue deformation, with a moving boundary delineating the edge of a growing cell colony. Asymptotic and computational methods will be used to produce physical insight into the parameter dependencies, together with robust numerical packages. The models will be validated against experimental data obtained by, interalia, the Tissue Engineering Group in the School of Pharmaceutical Sciences at Nottingham.Various sub-problems will need to be addressed in the course of model development (cell seeding; mass transport; tissue growth; blocking and degradation of the scaffold; and fluid flow) and the various couplings between these phenomena will require accounting for in generating a widely applicable 'bioreactor function', which will provide a predictive tool for describing how bioreactor performance depends on scaffold and cell properties.
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Organisation Website: http://www.nott.ac.uk