| EPSRC Reference: |
GR/J75470/01 |
| Title: |
NONLINEAR COOPERATIVE PHENOMENA BETWEEN SWIMMING, PATTERN-FORMING MICRO-ORGANISMS |
| Principal Investigator: |
Hill, Professor NA |
| Other Investigators: |
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| Project Partners: |
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| Department: |
Applied Mathematics |
| Organisation: |
University of Leeds |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
30 October 1994 |
Ends: |
29 October 1997 |
Value (£): |
116,999
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| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Panel History: |
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Summary on Grant Application Form |
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The applicants and Professor Kessler of the University of Arizona have made considerable progress in the study of bioconvection, a patte forming bulk motion that develops in suspensions of swimming micro-organisms. The first continuum models were based on an ad hoc prescription of the swimming of the micro-organisms. Subsequent theory has developed to include a rational stochastic description of the swimming with the parameters determined from observations. These models have been used successfully = linear hydrodynamic stability theories. Work in progress with SERC funded research students includes (i) extending the theory to include responses of the micro-organisms to light, (ii) weekly nonlinear bioconvection coupled with experiments on pattern evolution, (iii) analysis of the detailed hydrodynamics of a swimming biflagellate cell, and (iv) the linear theory of pattern formation in suspensions of oxygen - consuming bacteria. The principle objectives of this proposal are (i) to study nonlinear aspects of bioconvection by developing a numerical code and (ii) to calculate the effects of finite sampling lengths and time steps on the statistical analysis of trajectories using numerical simulations of three-dimensional random walks.
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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.leeds.ac.uk |