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DC Field | Value | Language |
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dc.contributor.author | Wei, J | - |
dc.contributor.author | Winter, M | - |
dc.date.accessioned | 2014-02-17T09:53:22Z | - |
dc.date.available | 2014-02-17T09:53:22Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Journal of Mathematical Biology, 64(1-2), 211 - 254, 2012 | en_US |
dc.identifier.issn | 0303-6812 | - |
dc.identifier.other | http://link.springer.com/article/10.1007%2Fs00285-011-0412-x | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/8028 | - |
dc.description | This is the post-print version of the final published paper. The final publication is available at link.springer.com by following the link below. Copyright @ 2011 Springer-Verlag. | en_US |
dc.description.abstract | We study a system of reaction–diffusion–convection equations which combine a reaction–diffusion system with Schnakenberg kinetics and the convective flow equations. It serves as a simple model for flow-distributed pattern formation. We show how the choice of boundary conditions and the size of the flow influence the positions of the emerging spiky patterns and give conditions when they are shifted to the right or to the left. Further, we analyze the shape and prove the stability of the spikes. This paper is the first providing a rigorous analysis of spiky patterns for reaction-diffusion systems coupled with convective flow. The importance of these results for biological applications, in particular the formation of left–right asymmetry in the mouse, is indicated. | en_US |
dc.description.sponsorship | RGC of Hong Kong | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer-Verlag | en_US |
dc.subject | Pattern formation | en_US |
dc.subject | Convection | en_US |
dc.subject | Spike | en_US |
dc.subject | Steady-states | en_US |
dc.subject | Stability | en_US |
dc.subject | Left/right asymmetry | en_US |
dc.subject | Primary 35B36 | en_US |
dc.subject | 92E20 | en_US |
dc.subject | Secondary 35B35 | en_US |
dc.subject | 76E06 | en_US |
dc.title | Flow-distributed spikes for Schnakenberg kinetics | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s00285-011-0412-x | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Active Staff | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths/Maths | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute for Ageing Studies | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Centre for Systems and Synthetic Biology | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups/Brunel Institute of Computational Mathematics | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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