Browsing Mathematics by Title
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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 ... 
BeatBox  HPC Simulation Environment for Biophysically and Anatomically Realistic Cardiac Electrophysiology
(arXiv.org, 2017)The BeatBox simulation environment combines flexible script language user interface with the robust computational tools, in order to setup cardiac electrophysiology insilico experiments without recoding at lowlevel, so ... 
Behavioral realizations using companion matrices and the smith form
(Society for Industrial and Applied Mathematics, 20160101)Classical procedures for the realization of transfer functions are unable to represent uncontrollable behaviors. In this paper, we use companion matrices and the Smith form to derive explicit observable realizations for a ... 
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 ... 
A biascorrected decomposition of the Brier score
(Royal Meteorological Society, 2012)The Brier score is a widely used measure of performance for probabilistic forecasts of event occurrences and is often decomposed additively into three terms that quantify the reliability and resolution of the forecasts and ... 
Biclustering models for structured microarray data
(IEEE, 2005)Microarrays have become a standard tool for investigating gene function and more complex microarray experiments are increasingly being conducted. For example, an experiment may involve samples from several groups or may ... 
Bidirectional transport and pulsing states in a multilane ASEP model
(IOP Publishing, 2011)In this paper, we introduce an ASEPlike transport model for bidirectional motion of particles on a multilane lattice. The model is motivated by {\em in vivo} experiments on organelle motility along a microtubule (MT), ... 
Bifurcation Analysis of a TwoCompartment Hippocampal Pyramidal Cell Model
(Springer Verlag, 20160525)The PinskyRinzel model is a nonsmooth 2compartmental CA3 pyramidal cell model that has been used widely within the field of neuroscience. Here we propose a modified (smooth) system that captures the qualitative behaviour ... 
Bifurcation analysis of delayinduced resonances of the ElNiño Southern Oscillation.
(Royal Society, 2014)Models of global climate phenomena of low to intermediate complexity are very useful for providing an understanding at a conceptual level. An important aspect of such models is the presence of a number of feedback loops ... 
Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators
(Elsevier, 2008)We study the bifurcation and dynamical behaviour of the system of N globally coupled identical phase oscillators introduced by Hansel, Mato and Meunier, in the cases N=3 and N=4. This model has been found to exhibit robust ... 
Biomass burning related ozone damage on vegetation over the Amazon forest: A model sensitivity study
(European Geosciences Union, 20150310)The HadGEM2 earth system climate model was used to assess the impact of biomass burning on surface ozone concentrations over the Amazon forest and its impact on vegetation, under presentday climate conditions. Here we ... 
Bistability in feedback circuits as a byproduct of evolution of evolvability
(2012)Noisy bistable dynamics in gene regulation can underlie stochastic switching and is demonstrated to be beneficial under fluctuating environments. It is not known, however, if fluctuating selection alone can result in ... 
Blowout bifurcation in a system of coupled chaotic lasers
(American Physical Society, 1998)We show that loss of synchronization of two identical coupled chaotic class B lasers can occur via a blowout bifurcation. This occurs when a transverse Lyapunov exponent governing the stability of a synchronized subspace ... 
Bounded Lüroth expansions: applying Schmidt games where infinite distortion exists
(Polskiej Akademii Nauk, Instytut Matematyczny, 2013)We show that the set of numbers with bounded L uroth expansions (or bounded L uroth series) is winning and strong winning. From either winning property, it immediately follows that the set is dense, has full Hausdor ... 
Bounded real and positive real balanced truncation for infinitedimensional systems
(American Institute of Mathematical Sciences, 2013)Bounded real balanced truncation for infinitedimensional systems is considered. This provides reduced order finitedimensional systems that retain bounded realness. We obtain an error bound analogous to the finitedimensional ... 
Bounds on the dynamics of sink populations with noisy immigration
(Elsevier, 2014)Sink populations are doomed to decline to extinction in the absence of immigration. The dynamics of sink populations are not easily modelled using the standard framework of per capita rates of immigration, because numbers ...