Browsing Mathematics by Title
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Asymptotic properties of mathematical models of excitability.
(Royal Society, 2006)We analyse small parameters in selected models of biological excitability, including HodgkinHuxley (Hodgkin & Huxley 1952 J. Physiol.117, 500544) model of nerve axon, Noble (Noble 1962 J. Physiol.160, 317352) model of ... 
Asymptotic theory of resonant flow in a spheroidal cavity driven by latitudinal libration
(Cambridge University Press, 2012) 
Asymptotics of conduction velocity restitution in models of electrical excitation in the heart.
(Springer Verlag, 2011)We extend a nonTikhonov asymptotic embedding, proposed earlier, for calculation of conduction velocity restitution curves in ionic models of cardiac excitability. Conduction velocity restitution is the simplest nontrivial ... 
Atmospheric impacts of Arctic seaice loss, 19792009: separating forced change from atmospheric internal variability
(Springer, 20140101)The ongoing loss of Arctic seaice cover has implications for the wider climate system. The detection and importance of the atmospheric impacts of seaice loss depends, in part, on the relative magnitudes of the seaice ... 
Atmospheric impacts of Arctic seaice loss, 19792009: separating forced change from atmospheric internal variability
(SpringerVerlag, 2013)The ongoing loss of Arctic seaice cover has implications for the wider climate system. The detection and importance of the atmospheric impacts of seaice loss depends, in part, on the relative magnitudes of the seaice ... 
The atmospheric response to three decades of observed arctic sea ice loss
(American Meteorological Society, 2013)Arctic sea ice is declining at an increasing rate with potentially important repercussions. To understand better the atmospheric changes that may have occurred in response to Arctic sea ice loss, this study presents results ... 
The atmospheric role in the Arctic water cycle: A review on processes, past and future changes, and their impacts
(American Geophysical Union (AGU), 2015)Atmospheric humidity, clouds, precipitation, and evapotranspiration are essential components of the Arctic climate system. During recent decades, specific humidity and precipitation have generally increased in the Arctic, ... 
Atomically homogeneous dispersed ZnO/Ndoped nanoporous carbon composites with enhanced CO2 uptake capacities and high efficient organic pollutants removal from water
(Elsevier, 20151011)Advanced functional composite of ZnO nanoparticles embedded in Ndoped nanoporous carbons has been synthesized by a simple onestep carbonization of zeolitic imidazolate framework8 under a water stream atmosphere. A variety ... 
Attractors of a randomly forced electronic oscillator
(Elsevier, 1999)This paper examines an electronic oscillator forced by a pseudorandom noise signal. We give evidence of the existence of one or more random attractors for the system depending on noise amplitude and system parameters. ... 
Automatic segmentation of episodes containing epileptic clonic seizures in video sequences
(Institute of Electrical and Electronics Engineers (IEEE), 201212)Epilepsy is a neurological disorder characterized by sudden, often unexpected transitions from normal to pathological behavioral states called epileptic seizures. Some of these seizures are accompanied by uncontrolled, ... 
Average values of Lseries for real characters in function fields
(SpringerOpen, 2016)We establish asymptotic formulae for the first and second moments of quadratic Dirichlet L–functions, at the centre of the critical strip, associated to the real quadratic function field k( √ P) and inert imaginary ... 
Bacterial secretion and the role of diffusive and subdiffusive first passage processes
(Public Library of Science (PLoS), 2012)By funneling protein effectors through needle complexes located on the cellular membrane, bacteria are able to infect host cells during type III secretion events. The spatiotemporal mechanisms through which these events ... 
The Bayesian Decision Tree Technique with a Sweeping Strategy
(2004)The uncertainty of classification outcomes is of crucial importance for many safety critical applications including, for example, medical diagnostics. In such applications the uncertainty of classification can be reliably ... 
A Bayesian framework for verification and recalibration of ensemble forecasts: How uncertain is NAO predictability?
(arXiv.org, 20150408)Predictability estimates of ensemble prediction systems are uncertain due to limited numbers of past forecasts and observations. To account for such uncertainty, this paper proposes a Bayesian inferential framework that ... 
Bayesian history matching of complex infectious disease models using emulation: a tutorial and a case study on HIV in Uganda
(Public Library of Science, 201501)Advances in scientific computing have allowed the development of complex models that are being routinely applied to problems in disease epidemiology, public health and decision making. The utility of these models depends ... 
Bayesian inductively learned modules for safety critical systems
(Interface Foundation of North America, Inc., 2003)This work examines the use of Bayesian inductively learned software modules for safety critical systems. Central to the safety critical application is the desire to generate confidence measures associated with predictions. ... 
Bayesian model choice in cumulative link ordinal regression models
(International Society for Bayesian Analysis (ISBA), 20150128)The use of the proportional odds (PO) model for ordinal regression is ubiquitous in the literature. If the assumption of parallel lines does not hold for the data, then an alternative is to specify a nonproportional odds ... 
Best practices for postprocessing ensemble climate forecasts, part I: selecting appropriate recalibration methods
(American Meteorological Society, 2016)This study describes a systematic approach to selecting optimal statistical recalibration methods and hindcast designs for producing reliable probability forecasts on seasonaltodecadal time scales. A new recalibration ... 
Beyond inphase and antiphase coordination in a model of joint action
(Springer Verlag (Germany), 20160608)In 1985, Haken, Kelso and Bunz proposed a system of coupled nonlinear oscillators as a model of rhythmic movement patterns in human bimanual coordination. Since then, the Haken–Kelso–Bunz (HKB) model has become a modelling ...