Outputs (29)

Neural fields with sigmoidal firing rates: Approximate solutions (2010)
Journal Article
Coombes, S., & Schmidt, H. (2010). Neural fields with sigmoidal firing rates: Approximate solutions. Discrete and Continuous Dynamical Systems - Series A, 28(4), 1369-1379. https://doi.org/10.3934/dcds.2010.28.1369

Many tissue level models of neural networks are written in the language of nonlinear integro-differential equations. Analytical solutions have only been obtained for the special case that the nonlinearity is a Heaviside function. Thus the pursuit of... Read More about Neural fields with sigmoidal firing rates: Approximate solutions.

A hybrid approach to multi-scale modelling of cancer (2010)
Journal Article
Osborne, J. M., Walter, A., Kershaw, S. K., Mirams, G. R., Fletcher, A. G., Pathmanathan, P., Gavaghan, D., Jensen, O. E., Maini, P. K., & Byrne, H. M. (2010). A hybrid approach to multi-scale modelling of cancer. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 368(1930), 5013-5028. https://doi.org/10.1098/rsta.2010.0173

In this paper, we review multi-scale models of solid tumour growth and discuss a middleout framework that tracks individual cells. By focusing on the cellular dynamics of a healthy colorectal crypt and its invasion by mutant, cancerous cells, we comp... Read More about A hybrid approach to multi-scale modelling of cancer.

Phenomenological modeling of cell-to-cell and beat-to-beat variability in isolated guinea pig ventricular myocytes (2010)
Presentation / Conference Contribution
Walmsley, J., Mirams, G., Bahoshy, M., Bollensdorff, C., Rodriguez, B., & Burrage, K. (2010, August). Phenomenological modeling of cell-to-cell and beat-to-beat variability in isolated guinea pig ventricular myocytes. Presented at 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC'10, Buenos Aires, Argentina

Experimental action potential (AP) recordings in isolated ventricular myoctes display significant temporal beatto- beat variability in morphology and duration. Furthermore, significant cell-to-cell differences in AP also exist even for isolated cells... Read More about Phenomenological modeling of cell-to-cell and beat-to-beat variability in isolated guinea pig ventricular myocytes.

Household epidemic models with varying infection response (2010)
Journal Article
Ball, F. G., Britton, T., & Sirl, D. J. (2011). Household epidemic models with varying infection response. Journal of Mathematical Biology, 63(2), 309-337

This paper is concerned with SIR (susceptible--infected--removed) household epidemic models in which the infection response may be either mild or severe, with the type of response also affecting the infectiousness of an individual. Two different mode... Read More about Household epidemic models with varying infection response.

High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing (2010)
Journal Article
Schenkel, A., & F. Uhlemann, C. (2010). High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing. Physics Letters B, 694(3), 258-260. https://doi.org/10.1016/j.physletb.2010.09.066

We consider an interacting scalar quantum field theory on noncommutative Euclidean space. We implement a family of noncommutative deformations, which -- in contrast to the well known Moyal-Weyl deformation -- lead to a theory with modified kinetic te... Read More about High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing.

Sloshing and slamming oscillations in a collapsible channel flow (2010)
Journal Article
Stewart, P. S., Waters, S. L., Jensen, O. E., & Heil, M. (2010). Sloshing and slamming oscillations in a collapsible channel flow. Journal of Fluid Mechanics, 662, 288-319. https://doi.org/10.1017/s0022112010003277

We consider laminar high-Reynolds-number flow through a finite-length planar channel, where a portion of one wall is replaced by a thin massless elastic membrane that is held under longitudinal tension T and subject to a linear external pressure dist... Read More about Sloshing and slamming oscillations in a collapsible channel flow.

Canonical toric Fano threefolds (2010)
Journal Article
Kasprzyk, A. M. (2010). Canonical toric Fano threefolds. Canadian Journal of Mathematics, 62(6), https://doi.org/10.4153/CJM-2010-070-3

An inductive approach to classifying toric Fano varieties is given. As an application of this technique, we present a classification of the toric Fano threefolds with at worst canonical singularities. Up to isomorphism, there are 674,688 such varieti... Read More about Canonical toric Fano threefolds.

Modelling spatially regulated β-catenin dynamics and invasion in intestinal crypts (2010)
Journal Article
Murray, P. J., Kang, J. W., Mirams, G. R., Shin, S. Y., Byrne, H. M., Maini, P. K., & Cho, K. H. (2010). Modelling spatially regulated β-catenin dynamics and invasion in intestinal crypts. Biophysical Journal, 99(3), 716-725. https://doi.org/10.1016/j.bpj.2010.05.016

Experimental data (e.g., genetic lineage and cell population studies) on intestinal crypts reveal that regulatory features of crypt behavior, such as control via morphogen gradients, are remarkably well conserved among numerous organisms (e.g., from... Read More about Modelling spatially regulated β-catenin dynamics and invasion in intestinal crypts.

Field Theory on Curved Noncommutative Spacetimes (2010)
Journal Article
Schenkel, A., & F. Uhlemann, C. (2010). Field Theory on Curved Noncommutative Spacetimes. Symmetry, Integrability and Geometry: Methods and Applications, 6, Article 061. https://doi.org/10.3842/SIGMA.2010.061

We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by us... Read More about Field Theory on Curved Noncommutative Spacetimes.

Spacetime Noncommutativity in Models with Warped Extradimensions (2010)
Journal Article
Ohl, T., Schenkel, A., & F. Uhlemann, C. (2010). Spacetime Noncommutativity in Models with Warped Extradimensions. Journal of High Energy Physics, Article 29. https://doi.org/10.1007/JHEP07%282010%29029

We construct consistent noncommutative (NC) deformations of the Randall-Sundrum spacetime that solve the NC Einstein equations with a non-trivial Poisson tensor depending on the fifth coordinate. In a class of these deformations where the Poisson ten... Read More about Spacetime Noncommutativity in Models with Warped Extradimensions.