Outputs (29)

Understanding cardiac alternans: a piecewise linear modeling framework (2010)
Journal Article
Thul, R., & Coombes, S. (2010). Understanding cardiac alternans: a piecewise linear modeling framework. Chaos, 20, https://doi.org/10.1063/1.3518362

Cardiac alternans is a beat-to-beat alternation in action potential duration (APD) and intracellular calcium (Ca²⁺) cycling seen in cardiac myocytes under rapid pacing that is believed to be a precursor to fibrillation. The cellular mechanisms of the... Read More about Understanding cardiac alternans: a piecewise linear modeling framework.

High-order hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows (2010)
Book Chapter
Giani, S., & Houston, P. (2010). High-order hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. In N. Kroll, H. Bieler, H. Deconinck, V. Couallier, H. van der Ven, & K. Sorensen (Eds.), ADIGMA - a European initiative on the development of adaptive higher-order variational methods for aerospace applications. Springer. https://doi.org/10.1007/978-3-642-03707-8_28

This article is concerned with the construction of general isotropic and anisotropic adaptive strategies, as well as hp-mesh refinement techniques, in combination with dual-weighted-residual a posteriori error indicators for the discontinuous Galerki... Read More about High-order hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows.

Convergent adaptive finite element methods for photonic crystal applications (2010)
Journal Article
Giani, S. Convergent adaptive finite element methods for photonic crystal applications. Manuscript submitted for publication

We prove the convergence of an adaptive finite element method for computing the band structure of 2D
periodic photonic crystals with or without compact defects in both the TM and TE polarization cases. These
eigenvalue problems involve non-coerci... Read More about Convergent adaptive finite element methods for photonic crystal applications.

Multiscale modeling of colonic crypts and early colorectal cancer (2010)
Book Chapter
Fletcher, A. G., Mirams, G. R., Murray, P. J., Walter, A., Kang, J. W., Cho, K. H., Maini, P. K., & Byrne, H. M. (2010). Multiscale modeling of colonic crypts and early colorectal cancer. In T. S. Deisboeck, & G. Stamatakos (Eds.), Multiscale Cancer Modeling (111-131). CRC Press. https://doi.org/10.1201/b10407

© 2011 by Taylor & Francis Group, LLC. Colorectal cancer accounts for 13% of all cancers in the United Kingdom, with around 35,300 new diagnoses and 16,000 deaths occurring each year (http://info.cancerresearchuk.org). Colorectal cancer is predomin... Read More about Multiscale modeling of colonic crypts and early colorectal cancer.

Analysis of a stochastic SIR epidemic on a random network incorporating household structure (2010)
Journal Article
Ball, F. G., Sirl, D. J., & Trapman, P. (2010). Analysis of a stochastic SIR epidemic on a random network incorporating household structure. Mathematical Biosciences, 224(2), https://doi.org/10.1016/j.mbs.2009.12.003

This paper is concerned with a stochastic SIR (susceptible-infective-removed) model for the spread of an epidemic amongst a population of individuals, with a random network of social contacts, that is also partitioned into households. The behaviour o... Read More about Analysis of a stochastic SIR epidemic on a random network incorporating household structure.

An SIR epidemic model on a population with random network and household structure and several types of individuals (2010)
Journal Article
Ball, F. G., & Sirl, D. J. An SIR epidemic model on a population with random network and household structure and several types of individuals. Manuscript submitted for publication

We consider a stochastic SIR (susceptible → infective → removed) epidemic model with several types of individuals. Infectious individuals can make infectious contacts on two levels, within their own ‘household’ and with their neighbours in a random g... Read More about An SIR epidemic model on a population with random network and household structure and several types of individuals.

Elastic symmetries of defective crystals (2010)
Journal Article
Parry, G. P. (2010). Elastic symmetries of defective crystals. Journal of Elasticity, 101(1), https://doi.org/10.1007/s10659-010-9254-9

I construct discrete and continuous crystal structures that are compatible with a given choice of dislocation density tensor, and (following Mal’cev) provide a canonical form for these discrete structures. The symmetries of the discrete structures ex... Read More about Elastic symmetries of defective crystals.

Calcium window currents, periodic forcing and chaos: understanding single neuron response with a discontinuous one-dimensional map (2010)
Journal Article
Laudanski, J., Sumner, C., & Coombes, S. (2010). Calcium window currents, periodic forcing and chaos: understanding single neuron response with a discontinuous one-dimensional map. Physical Review E, 82(1), Article e011924. https://doi.org/10.1103/PhysRevE.82.011924

Thalamocortical (TC) neurones are known to express the low-voltage activated, inactivating Ca2+ current IT. The triggering of this current underlies the generation of low threshold Ca2+ potentials that may evoke single or bursts of action potentials.... Read More about Calcium window currents, periodic forcing and chaos: understanding single neuron response with a discontinuous one-dimensional map.

On the combinatorial classification of toric log del Pezzo surfaces (2010)
Journal Article
Kasprzyk, A. M., Kreuzer, M., & Nill, B. (2010). On the combinatorial classification of toric log del Pezzo surfaces. LMS Journal of Computation and Mathematics, 13, https://doi.org/10.1112/S1461157008000387

Toric log del Pezzo surfaces correspond to convex lattice polygons containing the origin in their interior and having only primitive vertices. An upper bound on the volume and on the number of boundary lattice points of these polygons is derived in t... Read More about On the combinatorial classification of toric log del Pezzo surfaces.