| EPSRC Reference: |
GR/A00667/01 |
| Title: |
A MATHEMATICAL INVESTIGATION OF INTERACTIONS BETWEEN GROWTH AND DEFORMATION IN BIOLOGICAL MATERIALS |
| Principal Investigator: |
Byrne, Professor H |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Sch of Mathematical Sciences |
| Organisation: |
University of Nottingham |
| Scheme: |
Advanced Fellowship (Pre-FEC) |
| Starts: |
01 October 2000 |
Ends: |
31 December 2006 |
Value (£): |
230,697
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| EPSRC Research Topic Classifications: |
| Biomaterials |
Continuum Mechanics |
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| EPSRC Industrial Sector Classifications: |
| Healthcare |
No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Many biological materials, such as tendon and bone ligament, deform markedly under external loading. Whilst classical elasticity theory can be used in cases for which growth effects are negligible, there are many situations to which it is not directly applicable. The main focus and an original feature of this project is then the development and analysis of mathematical models which describe such systems. Whilst there are many physical situations in which growth and deformation are interrelated, attention will centre on specific examples including solid tumour growth, placental development and tissue engineering. The combination of continuum mechanics with existing theories of growth and reaction diffusion should represent an important and powerful advance in mathematical biology. In order to ensure that the models are realistic and that predictions are tested experimentally, active collaboration with biomedical researchers will occur throughout the project.Fundamental modelling issues that arise when the new models are being developed will be fully investigated by studying caricature models in which a limited number of mechanisms act. The models will typically be formulated as systems of highly nonlinear partial differential equations which will be studied using appropriate numerical and analytical techniques.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.nottingham.ac.uk |