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News:
New book by Pinto, Rand and Ferreira now available from Springer:
A A. Pinto, D A. Rand and F Ferreira, Fine Structures of Hyperbolic Diffeomorphisms, Springer Monographs in Mathematics ISSN 1439-7382 (published October 22nd, 2008). Book web page here. Flyer
On surfaces the theory of the fine scale structure of hyperbolic invariant sets and their measures can be described in a very complete and elegant way. This is the subject of this book. A very substantial part of the exposition is the outcome of the ongoing research programme of Pinto & Rand that was started in the mid-90s. There are also a number of new developments in the book such as the pseudo-smooth structures for pseudo-Anosov systems.
Some recent papers now available.
- L. Ashall, C.A. Horton, D.E. Nelson, P. Paszek, C.V. Harper, K. Sillitoe, S. Ryan, D.G. Spiller, J.F. Unitt, D.S. Broomhead, D.B. Kell, D.A. Rand, V. Sée, and M.R.H. White. Pulsatile stimulation determines timing and specificity of NF-kappa B-dependent transcription. Science (to appear)
- J.D. Salazar, J. Foreman, I.A. Carre, D.A. Rand and A. J. Millar. Mathematical Model of the Epigenetic Control of Vernalisation in Arabidopsis thaliana. Acta Horticulturae Number 803, November 2008
- B Finkenstädt, E A. Heron, M Komorowski, K Edwards, S Tang, C V Harper, A J Millar, J R E Davis, M R H White and D A Rand, Reconstruction of transcriptional dynamics from gene reporter data using differential equations. Bioinformatics 2008; doi: 10.1093/bioinformatics/btn562. Download paper. Download Supplementary Information
- D. A. Rand. Mapping the global sensitivity of cellular network dynamics: Sensitivity heat maps and a global summation law. J. R. Soc. Interface (2008) doi:10.1098/rsif.2008.0084.focus. Download paper.
Download supplementary information .
- O. E. Akman, J.C.W. Locke, S. Tang, I. Carré, A. J. Millar & D. A. Rand, Global temperature compensation and extended functionality for the Neurospora crassa circadian clock. Molecular Systems Biology. 4 http://www.nature.com/doifinder/4100210 on 12/02/08 doi: 4100210 Download paper
. Download corrigendum . Download supplementary information .
- Heron E., Finkenstadt B., Rand D. Statistical inference for delayed transcriptional gene regulation, an application to the Hes1 system,. Bioinformatics. doi: 10.1093/bioinformatics/btm367 Download paper
. Download supplementary information .
- A. A. Pinto, D. A. Rand & F. Ferreira, Cantor exchange systems and renormalization. Journal of Differential Equations 243(2) (2007) 593-616.
- A. A. Pinto, D. A. Rand & F. Ferreira, Hausdorff dimension bounds for smoothness of holonomies for codimension one hyperbolic dynamics. Journal of Differential Equations 243(2) (2007) 168-178.
- H van den Berg & D. A. Rand, Quantitative theories of T cell responsiveness. Immunological Reviews. 216(1) (2007) 81-92. Download.
- A Pinto & D. A. Rand, Solenoid functions for hyperbolic sets on surfaces. In: Dynamics, Ergodic Theory, and Geometry: Dedicated to Anatole Katok (ed. Boris Hasselblatt). Mathematical Sciences Research Institute Publications, Cambridge University Press (2007) 145-178.
Available now: new global sensitivity analysis tools developed by Paul Brown and David Rand. These enable one to calculate and display the sensitivity heat maps and parameters sensitivity spectrum introduced recently by David Rand. The software is driven bt three GUIs and at the moment only works for oscillators. In the near future it will be augmented so that it also works for signalling systems where the solution of interest is a transcient that is excited by an incoming signal. On the download page you just click on the file called Limit Cycle Sensitivity Analysis. Download.
Older clocks software available. This is older stuff produced by Paul Brown, Boris Shulgin and David Rand. Download.
PhD studentships available from BBSRC/EPSRC Systems Biology Doctoral Training Centre for students with a mathematical or physical sciences background or a biological one. To find out more contact Vicky Buchanan-Wollaston (vicky.b-wollaston@warwick.ac.uk) who directs the DTC. More ...
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