Outputs (103)

Mathematical and computational models of drug transport in tumours (2014)
Journal Article
Groh, C., Hubbard, M. E., Jones, P., Loadman, P., Periasamy, N., Sleeman, B., Smye, S., Twelves, C., & Phillips, R. (2014). Mathematical and computational models of drug transport in tumours. Interface, 11(94), Article 20131173. https://doi.org/10.1098/rsif.2013.1173

The ability to predict how far a drug will penetrate into the tumour microenvironment within its pharmacokinetic (PK) lifespan would provide valuable information about therapeutic response. As the PK profile is directly related to the route and sched... Read More about Mathematical and computational models of drug transport in tumours.

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes (2014)
Journal Article
Cangiani, A., Georgoulis, E. H., & Houston, P. (2014). hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes. Mathematical Models and Methods in Applied Sciences, 24(10), 2009-2041. https://doi.org/10.1142/S0218202514500146

An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical solution of second-order elliptic partial differential equations on general computational meshes consisting of polygonal/polyhedral elements is presented and analy... Read More about hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes.

Travelling waves in models of neural tissue: from localised structures to periodic waves (2014)
Journal Article
Meijer, H., & Coombes, S. (2014). Travelling waves in models of neural tissue: from localised structures to periodic waves. EPJ Nonlinear Biomedical Physics, 2(3), https://doi.org/10.1140/epjnbp16

We consider travelling waves (fronts, pulses and periodics) in spatially extended one dimensional neural field models. We demonstrate for an excitatory field with linear adaptation that, in addition to an expected stable pulse solution, a stable anti... Read More about Travelling waves in models of neural tissue: from localised structures to periodic waves.

On the integrality of modular symbols and Kato's Euler system for elliptic curves (2014)
Journal Article
Wuthrich, C. (2014). On the integrality of modular symbols and Kato's Euler system for elliptic curves. Documenta Mathematica, 19, 381-402

Quantized Abelian principal connections on Lorentzian manifolds (2014)
Journal Article
Benini, M., Dappiaggi, C., & Schenkel, A. (2014). Quantized Abelian principal connections on Lorentzian manifolds. Communications in Mathematical Physics, 330(1), 123–152. https://doi.org/10.1007/s00220-014-1917-0

We construct a covariant functor from a category of Abelian principal bundles over globally hyperbolic spacetimes to a category of *-algebras that describes quantized principal connections. We work within an appropriate differential geometric setting... Read More about Quantized Abelian principal connections on Lorentzian manifolds.

Quantum search on graphene lattices (2014)
Journal Article
Foulger, I., Gnutzmann, S., & Tanner, G. (2014). Quantum search on graphene lattices. Physical Review Letters, 112, Article 070504. https://doi.org/10.1103/PhysRevLett.112.070504

We present a continuous-time quantum search algorithm on a graphene lattice. This provides the sought- after implementation of an efficient continuous-time quantum search on a two-dimensional lattice. The search uses the linearity of the dispersion r... Read More about Quantum search on graphene lattices.

Predicting the statistics of wave transport through chaotic cavities by the random coupling model: A review and recent progress (2014)
Journal Article
Yeh, J.-H., Gradoni, G., Xiao, B., Antonsen, T., Anlage, S., & Ott, E. (2014). Predicting the statistics of wave transport through chaotic cavities by the random coupling model: A review and recent progress. Wave Motion, 51(4), 606-621. https://doi.org/10.1016/j.wavemoti.2014.02.003

A classification of the symmetries of uniform discrete defective crystals (2014)
Journal Article
Nicks, R. (in press). A classification of the symmetries of uniform discrete defective crystals. Journal of Elasticity, 117(2), https://doi.org/10.1007/s10659-014-9470-9

Crystals which have a uniform distribution of defects are endowed with a Lie group description which allows one to construct an associated discrete structure. These structures are in fact the discrete subgroups of the ambient Lie group. The geometric... Read More about A classification of the symmetries of uniform discrete defective crystals.

Reducing space-time to binary information (2014)
Journal Article
Weinfurtner, S., De las Cuevas, G., Martin-Delgado, M. A., & Briegel, H. J. (2014). Reducing space-time to binary information. Journal of Physics A: Mathematical and Theoretical, 47(9), Article 095301. https://doi.org/10.1088/1751-8113/47/9/095301

We present a new description of discrete space-time in 1+1 dimensions in terms of a set of elementary geometrical units that represent its independent classical degrees of freedom. This is achieved by means of a binary encoding that is ergodic in the... Read More about Reducing space-time to binary information.

On the folded normal distribution (2014)
Journal Article
Tsagris, M., Beneki, C., & Hassani, H. (2014). On the folded normal distribution. Mathematics, 2(1), https://doi.org/10.3390/math2010012

The characteristic function of the folded normal distribution and its moment function are derived. The entropy of the folded normal distribution and the Kullback–Leibler from the normal and half normal distributions are approximated using Taylor seri... Read More about On the folded normal distribution.