Mathematics
Welcome to the research outputs of the University of Exeter College of Engineering, Mathematics and Physical Sciences, Department of Mathematics
Recent Submissions
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From coupled networks of systems to networks of states in phase space
(American Institute of Mathematical Sciences (AIMS), 2017)Dynamical systems on graphs can show a wide range of behaviours beyond simple synchronization - even simple globally coupled structures can exhibit attractors with intermittent and slow switching between patterns of ... -
Gonadotropin-releasing hormone signaling: An information theoretic approach
(Elsevier, 2017-07-29)Gonadotropin-releasing hormone (GnRH) is a peptide hormone that mediates central control of reproduction, acting via G-protein coupled receptors that are primarily Gq coupled and mediate GnRH effects on the synthesis and ... -
Signal reconstruction of pulmonary vein recordings using a phenomenological mathematical model: Application to pulmonary vein isolation therapy
(Frontiers Media, 2017-07-17)Atrial fibrillation (AF), the most prevalent cardiac arrhythmia, is commonly initiated by ectopic beats originating from a small myocardial sleeve extending over the pulmonary veins. Pulmonary vein isolation therapy attempts ... -
Weak convergence to extremal processes and record events for non-uniformly hyperbolic dynamical systems
(Cambridge University Press, 2017) -
Dynamic responses of the adrenal steroidogenic regulatory network.
(National Academy of Sciences, 2017-07-17)The hypothalamic-pituitary-adrenal axis is a dynamic system regulating glucocorticoid hormone synthesis in the adrenal glands. Many key factors within the adrenal steroidogenic pathway have been identified and studied, but ... -
Scaffolds and Generalized Integral Galois Module Structure
(Association des Annales de l'Institut Fourier, 2017)Let L/K be a finite, totally ramified p-extension of complete local fields with residue fields of characteristic p > 0, and let A be a K-algebra acting on L. We define the concept of an A-scaffold on L, thereby extending ... -
Truncated Product Representations for L-Functions in the Hyperelliptic Ensemble
(London Mathematical Society for University College London Faculty of Mathematical and Physical Sciences, Department of Mathematics, 2017)We investigate the approximation of quadratic Dirichlet L-functions over function fields by truncations of their Euler products. We first establish representations for such L-functions as products over prime polynomials ... -
Sensitivity of volcanic aerosol dispersion to meteorological conditions: A Pinatubo case study
(American Geophysical Union (AGU), 2016-06-27)Using a global climate model (Hadley Centre Global Environment Model version 2-Carbon Cycle Stratosphere ) with a well-resolved stratosphere, we test the sensitivity of volcanic aerosol plume dispersion to meteorological ... -
Sufficient Conditions for Large Galois Scaffolds
(Elsevier, 2017-07-18)Let L/K be a finite, Galois, totally ramified p-extension of complete local fields with perfect residue fields of characteristic p > 0. In this paper, we give conditions, valid for any Galois p-group G = Gal(L/K) (abelian ... -
Spatial organization of organelles in fungi: Insights from mathematical modelling
(Elsevier, 2017-06)Mathematical modelling in cellular systems aims to describe biological processes in a quantitative manner. Most accurate modelling is based on robust experimental data. Here we review recent progress in the theoretical ... -
Measuring forecast performance in the presence of observation error
(Wiley / Royal Meteorological Society, 2017-07-07)A new framework is introduced for measuring the performance of probability forecasts when the true value of the predictand is observed with error. In these circumstances, proper scoring rules favour good forecasts of ... -
Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system
(AIP, 2017)We study the problem of initiation of propagation of excitation waves in the FitzHugh-Nagumo model. Our approach is based on earlier works, based on the idea of approximating of the boundary between basins of attraction ... -
An optimal strategy for epilepsy surgery: Disruption of the rich-club? (Dataset)
(PLOS Computational Biology, 2017)Surgery is a therapeutic option for people with epilepsy whose seizures are not controlled by anti-epilepsy drugs. In pre-surgical planning, an array of data modalities, often including intra-cranial EEG, is used in an ... -
Effect of AMOC collapse on ENSO in a high resolution general circulation model
(Springer Verlag, 2017)We look at changes in the El Niño Southern Oscillation (ENSO) in a high-resolution eddy-permitting climate model experiment in which the Atlantic Meridional Circulation (AMOC) is switched off using freshwater hosing. The ... -
Computer models to inform epilepsy surgery strategies: prediction of postoperative outcome
(Oxford University Press (OUP) for Guarantors of Brain, 2017-03-18) -
Strong constraints on aerosol-cloud interactions from volcanic eruptions
(Springer Nature, 2017-06-22)Aerosols have a potentially large effect on climate, particularly through their interactions with clouds, but the magnitude of this effect is highly uncertain. Large volcanic eruptions produce sulfur dioxide, which in turn ... -
Approximate Bayesian Computation and simulation-based inference for complex stochastic epidemic models
(Institute of Mathematical Statistics (IMS), 2017)Approximate Bayesian Computation (ABC) and other simulation-based inference methods are becoming increasingly used for inference in complex systems, due to their relative ease-of-implementation. We briefly review some of ... -
Quantifying how user-interaction can modify the perception of the value of climate information: A Bayesian approach
(Elsevier, 2017-06-12)The growing attention user relevance is receiving in the context of climate services is giving new light to engagement activities. However, while there is an almost unanimous consensus that these are important to the ... -
The 21st century decline in damaging European windstorms
(European Geosciences Union (EGU) / Copernicus Publications, 2016-08-29)A decline in damaging European windstorms has led to a reduction in insured losses in the 21st century. This decline is explored by identifying a damaging windstorm characteristic and investigating how and why this ... -
Variance estimation for Brier Score decomposition
(Wiley / Royal Meteorological Society, 2013-08-14)The Brier Score is a widely-used criterion to assess the quality of probabilistic predictions of binary events. The expectation value of the Brier Score can be decomposed into the sum of three components called reliability, ...