All Outputs (30)

Fano polytopes (2012)
Book Chapter
Kasprzyk, A. M., & Nill, B. (2012). Fano polytopes. In A. Rebhan, L. Katzarkov, J. Knapp, R. Rashkov, & E. Scheidegger (Eds.), Strings, gauge fields, and the geometry behind: the legacy of Maximilian Kreuzer (349-364). World Scientific. https://doi.org/10.1142/9789814412551_0017

Fano polytopes are the convex-geometric objects corresponding to toric Fano varieties. We give a brief survey of classification results for different classes of Fano polytopes.

Soft-bound synaptic plasticity increases storage capacity (2012)
Journal Article
van Rossum, M. C., Shippi, M., & Barrett, A. B. (2012). Soft-bound synaptic plasticity increases storage capacity. PLoS Computational Biology, 8(12), Article e1002836. https://doi.org/10.1371/journal.pcbi.1002836

Accurate models of synaptic plasticity are essential to understand the adaptive properties of the nervous system and for realistic models of learning and memory. Experiments have shown that synaptic plasticity depends not only on pre- and post-synapt... Read More about Soft-bound synaptic plasticity increases storage capacity.

Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states (2012)
Journal Article
Bowles, P., Gu??, M., & Adesso, G. (2012). Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states. New Journal of Physics, 14, Article 113041. https://doi.org/10.1088/1367-2630/14/11/113041

We investigate the problem of optimally reversing the action of an arbitrary quantum channel C which acts independently on each component of an ensemble of n identically prepared d-dimensional quantum systems. In the limit of large ensembles, we cons... Read More about Asymptotically optimal quantum channel reversal for qudit ensembles and multimode Gaussian states.

Gray categories with duals and their diagrams (2012)
Other
Barrett, J., Meusburger, C., & Schaumann, G. Gray categories with duals and their diagrams

The geometric and algebraic properties of Gray categories with duals are investigated by means of a diagrammatic calculus. The diagrams are three-dimensional stratifications of a cube, with regions, surfaces, lines and vertices labelled by Gray categ... Read More about Gray categories with duals and their diagrams.

Application of cardiac electrophysiology simulations to pro-arrhythmic safety testing (2012)
Journal Article
Mirams, G. R., Davies, M. R., Cui, Y., Kohl, P., & Noble, D. (2012). Application of cardiac electrophysiology simulations to pro-arrhythmic safety testing. British Journal of Pharmacology, 167(5), 932-945. https://doi.org/10.1111/j.1476-5381.2012.02020.x

Concerns over cardiac side effects are the largest single cause of compound attrition during pharmaceutical drug development. For a number of years, biophysically detailed mathematical models of cardiac electrical activity have been used to explore h... Read More about Application of cardiac electrophysiology simulations to pro-arrhythmic safety testing.

Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions (2012)
Journal Article
Bringmann, K., Diamantis, N., & Raum, M. (2013). Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions. Advances in Mathematics, 233(1), 115-134. https://doi.org/10.1016/j.aim.2012.09.025

We introduce a new technique of completion for 1-cohomology which parallels the corresponding technique in the theory of mock modular forms. This technique is applied in the context of non-critical values of L-functions of GL(2) cusp forms. We prove... Read More about Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions.

Further results on common zeros of the solutions of two differential equations (2012)
Journal Article
Asiri, A. (2012). Further results on common zeros of the solutions of two differential equations. Journal of Inequalities and Applications, 2012(222), https://doi.org/10.1186/1029-242X-2012-222

Purpose: Two problems are discussed in this paper. In the first problem, we consider one homogeneous and one non-homogeneous differential equations and study when the solutions of these differential equations can have (nearly) the same zeros. In the... Read More about Further results on common zeros of the solutions of two differential equations.

Dynamics of atom–atom correlations in the Fermi problem (2012)
Journal Article
Borrelli, M., Sabí­n, C., Adesso, G., Plastina, F., & Maniscalco, S. (2012). Dynamics of atom–atom correlations in the Fermi problem. New Journal of Physics, 14, Article 103010. https://doi.org/10.1088/1367-2630/14/10/103010

We present a detailed perturbative study of the dynamics of several types of atom–atom correlations in the famous Fermi problem. This is an archetypal model to study micro-causality in the quantum domain, where two atoms, one initially excited and th... Read More about Dynamics of atom–atom correlations in the Fermi problem.

Rank-based model selection for multiple ions quantum tomography (2012)
Journal Article
Gu??, M., Kypraios, T., & Dryden, I. (2012). Rank-based model selection for multiple ions quantum tomography. New Journal of Physics, 14(105002), https://doi.org/10.1088/1367-2630/14/10/105002

The statistical analysis of measurement data has become a key component of many quantum engineering experiments. As standard full state tomography becomes unfeasible for large dimensional quantum systems, one needs to exploit prior information and th... Read More about Rank-based model selection for multiple ions quantum tomography.

Twist deformations of module homomorphisms and connections (2012)
Journal Article
Schenkel, A. (2012). Twist deformations of module homomorphisms and connections. Proceedings of Science, 155, https://doi.org/10.22323/1.155.0056

Let H be a Hopf algebra, A a left H-module algebra and V a left H-module A-bimodule. We study the behavior of the right A-linear endomorphisms of V under twist deformation. We in particular construct a bijective quantization map to the right A_\star-... Read More about Twist deformations of module homomorphisms and connections.

A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt (2012)
Journal Article
Mirams, G. R., Fletcher, A. G., Maini, P. K., & Byrne, H. M. (2012). A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt. Journal of Theoretical Biology, 312, 143-156. https://doi.org/10.1016/j.jtbi.2012.08.002

The surface epithelium lining the intestinal tract renews itself rapidly by a coordinated programme of cell proliferation, migration and differentiation events that is initiated in the crypts of Lieberkühn. It is generally believed that colorectal ca... Read More about A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt.

Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves (2012)
Journal Article
Thul, R., Coombes, S., & Bootman, M. D. (2012). Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves. Frontiers in Physiology, 3, Article 279. https://doi.org/10.3389/fphys.2012.00279

Clusters of ryanodine receptors within atrial myocytes are confined to spatially separated layers. In many species, these layers are not juxtaposed by invaginations of the plasma membrane (transverse tubules; 'T-tubules'), so that calcium-induced-cal... Read More about Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves.

Reflexive polytopes of higher index and the number 12 (2012)
Journal Article
Kasprzyk, A. M., & Nill, B. (2012). Reflexive polytopes of higher index and the number 12. Electronic Journal of Combinatorics, 19(3), Article P9

We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension two we show that they arise from reflexive polygons via a ch... Read More about Reflexive polytopes of higher index and the number 12.

Systematic biases in early ERP and ERF components as a result of high-pass filtering (2012)
Journal Article
Acunzo, D. J., Mackenzie, G., & van Rossum, M. C. (2012). Systematic biases in early ERP and ERF components as a result of high-pass filtering. Journal of Neuroscience Methods, 209(1), https://doi.org/10.1016/j.jneumeth.2012.06.011

The event-related potential (ERP) and event-related field (ERF) techniques provide valuable insights into the time course of processes in the brain. Because neural signals are typically weak, researchers commonly filter the data to increase the signa... Read More about Systematic biases in early ERP and ERF components as a result of high-pass filtering.

Interface dynamics in planar neural field models (2012)
Journal Article
Coombes, S., Schmidt, H., & Bojak, I. (2012). Interface dynamics in planar neural field models. Journal of Mathematical Neuroscience, 2(1), 1-46. https://doi.org/10.1186/2190-8567-2-9

Neural field models describe the coarse-grained activity of populations of interacting neurons. Because of the laminar structure of real cortical tissue they are often studied in two spatial dimensions, where they are well known to generate rich patt... Read More about Interface dynamics in planar neural field models.

On the numerical continuation of isolas of equilibria (2012)
Journal Article
Rodrigues, S., Desroches, M., & Avitabile, D. (2012). On the numerical continuation of isolas of equilibria. International Journal of Bifurcation and Chaos, 22(11), 1250277. https://doi.org/10.1142/s021812741250277x

We present a numerical strategy to compute one-parameter families of isolas of equilibrium solutions in ODEs. Isolas are solution branches closed in parameter space. Numerical continuation is required to compute one single isola since it contains at... Read More about On the numerical continuation of isolas of equilibria.

Neuronal spike-train responses in the presence of threshold noise (2012)
Journal Article
Coombes, S., Thul, R., Laudanski, J., Palmer, A., & Sumner, C. (in press). Neuronal spike-train responses in the presence of threshold noise. Frontiers in Life Science, 5(3-4), https://doi.org/10.1080/21553769.2011.556016

The variability of neuronal firing has been an intense topic of study for many years. From a modelling perspective it has often been studied in conductance based spiking models with the use of additive or multiplicative noise terms to represent chan... Read More about Neuronal spike-train responses in the presence of threshold noise.

The effects of a telomere destabilising agent on cancer cell-cycle dynamics - integrated modelling and experiments (2012)
Journal Article
Hirt, B. V., Wattis, J. A., Preston, S. P., & Laughton, C. A. (2012). The effects of a telomere destabilising agent on cancer cell-cycle dynamics - integrated modelling and experiments. Journal of Theoretical Biology, 295, https://doi.org/10.1016/j.jtbi.2011.10.038

The pentacyclic acridinium salt RHPS4 displays anti-tumour properties in vitro as well as in vivo and is potentially cell-cycle specific. We have collected experimental data and formulated a compartmental model using ordinary differential equations t... Read More about The effects of a telomere destabilising agent on cancer cell-cycle dynamics - integrated modelling and experiments.

Application of human stem cell-derived cardiomyocytes in safety pharmacology requires caution beyond hERG (2012)
Journal Article
Jonsson, M. K., Vos, M. A., Mirams, G. R., Duker, G., Sartipy, P., De Boer, T. P., & Van Veen, T. A. (2012). Application of human stem cell-derived cardiomyocytes in safety pharmacology requires caution beyond hERG. Journal of Molecular and Cellular Cardiology, 52(5), 998-1008. https://doi.org/10.1016/j.yjmcc.2012.02.002

Human embryonic stem cell-derived cardiomyocytes (hESC-CM) have been proposed as a new model for safety pharmacology. So far, a thorough description of their basic electrophysiology and extensive testing, and mechanistic explanations, of their overal... Read More about Application of human stem cell-derived cardiomyocytes in safety pharmacology requires caution beyond hERG.

An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients (2012)
Journal Article
Hill, A. A., & Malashetty, M. (2012). An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468(2138), https://doi.org/10.1098/rspa.2011.0137

This paper explores an operative technique for deriving nonlinear stability by studying double-diffusive porous convection with a concentration-based internal heat source. Previous stability analyses on this problem have yielded regions of potential... Read More about An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients.