Browsing Mathematics by Title
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An asymptotic parallelintime method for highly oscillatory PDEs
(Society for Industrial and Applied Mathematics, 20130326)We present a new timestepping algorithm for nonlinear PDEs that exhibit scale separation in time. Our scheme combines asymptotic techniques (which are inexpensive but can have insufficient accuracy) with parallelintime ... 
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 for torsional convection in rotating fluid spheres
(Cambridge University Press, 20170119)This paper is concerned with the classical, wellstudied problem of convective instabilities in rapidly rotating, selfgravitating, internally heated Boussinesq fluid spheres. Sanchez et al. (J. Fluid Mech., vol. 791, 2016, ... 
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 ... 
Asynchronous Networks and Event Driven Dynamics
(IOP Publishing, 20170106)Realworld networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous ... 
Asynchronous Networks: Modularization of Dynamics Theorem
(IOP Publishing, 20170106)Building on the first part of this paper, we develop the theory of functional asynchronous networks. We show that a large class of functional asynchronous networks can be (uniquely) represented as feedforward networks ... 
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 ... 
Atmospheric precursors of and response to anomalous Arctic sea ice in CMIP5 models
(Springer Verlag, 20171207)This study examines preindustrial control simulations from CMIP5 climate models in an effort to better understand the complex relationships between Arctic sea ice and the stratosphere, and between Arctic sea ice and cold ... 
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 ... 
Attention model of binocular rivalry
(National Academy of Sciences, 20170725)When the corresponding retinal locations in the two eyes are presented with incompatible images, a stable percept gives way to perceptual alternations in which the two images compete for perceptual dominance. As perceptual ... 
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. ... 
Authors response to communication about mathematical modeling of gonadotropinreleasing hormone signaling
(Elsevier, 20171004)Letter to the Editor: Authors response to communication about mathematical modeling of gonadotropinreleasing hormone signaling 
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, 20161102)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 ... 
Averaging and rates of averaging for uniform families of deterministic fastslow skew product systems
(Polish Academy of Sciences, Institute of Mathematics, 20170412)We consider families of fastslow skew product maps of the form xn+1 = xn + ǫa(xn, yn, ǫ), yn+1 = Tǫyn, where Tǫ is a family of nonuniformly expanding maps, and prove averaging and rates of averaging for the slow variables ... 
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 ...