Kevin Burrage

ORCID

Publication Activity (10 Years)

Years Active: 1986-2024
Publications (10 Years): 42

Top Venues

Publications

Julià Camps, Zhinuo Jenny Wang, Rubén Doste, Maxx Holmes, Brodie Lawson, Jakub Tomek, Kevin Burrage, Alfonso Bueno-Orovio, Blanca Rodríguez
Cardiac Digital Twin Pipeline for Virtual Therapy Evaluation. CoRR (2024)
Alfonso Bueno-Orovio, Kevin Burrage
Complex-order fractional diffusion in reaction-diffusion systems. Commun. Nonlinear Sci. Numer. Simul. 119 (2023)
Libo Feng, Ian W. Turner, Patrick Perré, Kevin Burrage
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. J. Comput. Phys. 480 (2023)
Shamika Kekulthotuwage Don, Kevin Burrage, Kate J. Helmstedt, Pamela M. Burrage
Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size. Axioms 12 (4) (2023)
Yoshio Komori, Guoguo Yang, Kevin Burrage
Formulae for Mixed Moments of Wiener Processes and a Stochastic Area Integral. SIAM J. Numer. Anal. 61 (4) (2023)
Yoshio Komori, Kevin Burrage
Split S-ROCK Methods for High-Dimensional Stochastic Differential Equations. J. Sci. Comput. 97 (3) (2023)
Yoshio Komori, Guoguo Yang, Kevin Burrage
Formulae for mixed moments of Wiener processes and a stochastic area integral. CoRR (2023)
Luigi Brugnano, Kevin Burrage, Pamela M. Burrage, Felice Iavernaro
A spectrally accurate step-by-step method for the numerical solution of fractional differential equations. CoRR (2023)
Brodie A. J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner, Alfonso Bueno-Orovio, Pamela M. Burrage, Kevin Burrage
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. Commun. Nonlinear Sci. Numer. Simul. 116 (2023)
Megan E. Farquhar, Kevin Burrage, Rodrigo Weber dos Santos, Alfonso Bueno-Orovio, Brodie A. J. Lawson
Graph-based homogenisation for modelling cardiac fibrosis. J. Comput. Phys. 459 (2022)
Kevin Burrage, Pamela M. Burrage, Grant Lythe
Effective numerical methods for simulating diffusion on a spherical surface in three dimensions. Numer. Algorithms 91 (4) (2022)
Julià Camps, Zhinuo J. Wang, Rafael Sebastian, Xin Zhou, Brodie Lawson, Lucas Arantes Berg, Kevin Burrage, Vicente Grau, Rodrigo Weber dos Santos, Blanca Rodríguez
Inference of Number and Location of Purkinje Root Nodes and Ventricular Conduction Properties from Clinical 12-Lead ECGs for Cardiac Digital Twinning. CinC (2022)
Julià Camps, Brodie Lawson, Christopher C. Drovandi, Ana Mincholé, Zhinuo J. Wang, Vicente Grau, Kevin Burrage, Blanca Rodríguez
Inference of ventricular activation properties from non-invasive electrocardiography. Medical Image Anal. 73 (2021)
Megan E. Farquhar, Kevin Burrage, Brodie A. J. Lawson
Robust Graph-Based Upscaling of Microscale Fibrotic Structures. CinC (2021)
Julià Camps, Brodie Lawson, Christopher C. Drovandi, Ana Mincholé, Zhinuo J. Wang, Vicente Grau, Kevin Burrage, Blanca Rodríguez
Inference of Ventricular Activation Properties from Twelve-lead Electrocardiogram. CinC (2021)
Libo Feng, Ian W. Turner, Patrick Perré, Kevin Burrage
An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Commun. Nonlinear Sci. Numer. Simul. 92 (2021)
Kevin Burrage, Pamela M. Burrage, Shev MacNamara
Localization and Pseudospectra of Twisted Toeplitz Matrices with Applications to Ion Channels. SIAM J. Matrix Anal. Appl. 42 (4) (2021)
Libo Feng, Ian W. Turner, Patrick Perré, Kevin Burrage
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. CoRR (2021)
Guoguo Yang, Kevin Burrage, Yoshio Komori, Pamela M. Burrage, Xiaohua Ding
A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equations. Numer. Algorithms 88 (4) (2021)
Kevin Burrage, Pamela M. Burrage, Shev MacNamara
The reflectionless properties of Toeplitz waves and Hankel waves: An analysis via Bessel functions. Appl. Math. Comput. 389 (2021)
Brodie A. J. Lawson, Rodrigo Weber dos Santos, Ian W. Turner, Alfonso Bueno-Orovio, Pamela M. Burrage, Kevin Burrage
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. CoRR (2020)
Kevin Burrage, Diane M. Donovan, Nicholas J. Cavenagh, Emine Sule Yazici
Globally simple Heffter arrays H(n;k) when k≡0, 3(mod4). Discret. Math. 343 (5) (2020)
Jinran Wu, You-Gan Wang, Kevin Burrage, Yu-Chu Tian, Brodie Lawson, Zhe Ding
An improved firefly algorithm for global continuous optimization problems. Expert Syst. Appl. 149 (2020)
Kevin Burrage, Pamela M. Burrage, Shev MacNamara
The reflectionless properties of Toeplitz waves and Hankel waves: an analysis via Bessel functions. CoRR (2020)
Fanhai Zeng, Ian W. Turner, Kevin Burrage, Stephen J. Wright
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations. J. Comput. Phys. 394 (2019)
Yoshio Komori, Alexey S. Eremin, Kevin Burrage
S-ROCK methods for stochastic delay differential equations with one fixed delay. J. Comput. Appl. Math. 353 (2019)
Tarunendu Mapder, Samuel Clifford, John Aaskov, Kevin Burrage
A population of bang-bang switches of defective interfering particles makes within-host dynamics of dengue virus controllable. PLoS Comput. Biol. 15 (11) (2019)
Ling Guo, Fanhai Zeng, Ian W. Turner, Kevin Burrage, George Em Karniadakis
Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations. SIAM J. Sci. Comput. 41 (4) (2019)
Fanhai Zeng, Ian W. Turner, Kevin Burrage
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators. J. Sci. Comput. 77 (1) (2018)
F. A. Abdullah, Fawang Liu, Pamela M. Burrage, Kevin Burrage, T. Li
Novel analytical and numerical techniques for fractional temporal SEIR measles model. Numer. Algorithms 79 (1) (2018)
Fanhai Zeng, Ian W. Turner, Kevin Burrage, George E. Karniadakis
A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations. SIAM J. Sci. Comput. 40 (5) (2018)
Kevin Burrage, Pamela M. Burrage, Ian W. Turner, Fanhai Zeng
On the Analysis of Mixed-Index Time Fractional Differential Equation Systems. Axioms 7 (2) (2018)
Yoshio Komori, David Cohen, Kevin Burrage
Weak Second Order Explicit Exponential Runge-Kutta Methods for Stochastic Differential Equations. SIAM J. Sci. Comput. 39 (6) (2017)
Minling Zheng, Fawang Liu, Qingxia Liu, Kevin Burrage, Matthew J. Simpson
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. J. Comput. Phys. 338 (2017)
Brodie Lawson, Chris Drovandi, Pamela M. Burrage, Blanca Rodríguez, Kevin Burrage
Dimension Reduction for the Emulation of Cardiac Electrophysiology Models for Single Cells and Tissue. CinC (2017)
Alfonso Bueno-Orovio, Kevin Burrage
Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging. Commun. Nonlinear Sci. Numer. Simul. 52 (2017)
S. Chen, Fawang Liu, X. Jiang, Ian W. Turner, Kevin Burrage
Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients. SIAM J. Numer. Anal. 54 (2) (2016)
Tomasz Bednarz, June Kim, Ross Brown, Allan R. James, Kevin Burrage, Samuel Clifford, Jacqueline Davis, Kerrie L. Mengersen, Erin E. Peterson, Steven Psaltis, Julie Vercelloni
Virtual reality for conservation. Web3D (2016)
Yadong Wang, Kevin Burrage, Yunlong Liu, Shinichi Morishita, Tianhai Tian, Qinghua Jiang, Jiangning Song, Guohua Wang, Qian Zhu, Xiaohua Tony Hu
Preface. BIBM (2016)
Alfonso Bueno-Orovio, Irvin Teh, Jürgen E. Schneider, Kevin Burrage, Vicente Grau
Anomalous Diffusion in Cardiac Tissue as an Index of Myocardial Microstructure. IEEE Trans. Medical Imaging 35 (9) (2016)
Kevin Burrage, Pamela M. Burrage, Diane M. Donovan, Bevan Thompson
Populations of Models, Experimental Designs and Coverage of Parameter Space by Latin Hypercube and Orthogonal Sampling. ICCS (2015)
Fawang Liu, P. Zhuang, Ian W. Turner, Vo Anh, Kevin Burrage
A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain. J. Comput. Phys. 293 (2015)
Kevin Burrage, Chus Sanz-Serna, Zdzislaw Jackiewicz
Preface. Numer. Algorithms 65 (3) (2014)
S. Chen, Fawang Liu, Kevin Burrage
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Comput. Math. Appl. 67 (9) (2014)
S. Chen, Fawang Liu, Kevin Burrage
Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Comput. Math. Appl. 68 (12) (2014)
Tamás Székely, Kevin Burrage, Konstantinos C. Zygalakis, Manuel Barrio
Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method. BMC Syst. Biol. 8 (2014)
Fanhai Zeng, Fawang Liu, Changpin Li, Kevin Burrage, Ian W. Turner, Vo Anh
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation. SIAM J. Numer. Anal. 52 (6) (2014)
Qiang Yu, Fawang Liu, Ian W. Turner, Kevin Burrage
Numerical simulation of the fractional Bloch equations. J. Comput. Appl. Math. 255 (2014)
Tamás Székely Jr., Kevin Burrage, Marc Mangel, Michael B. Bonsall
Stochastic Dynamics of Interacting Haematopoietic Stem Cell Niche Lineages. PLoS Comput. Biol. 10 (9) (2014)
Louie Cardone-Noott, Alfonso Bueno-Orovio, Ana Mincholé, Kevin Burrage, Mikael Wallman, Nejib Zemzemi, Erica Dall' Armellina, Blanca Rodríguez
A Computational Investigation into the Effect of Infarction on Clinical Human Electrophysiology Biomarkers. CinC (2014)
Pamela M. Burrage, Kevin Burrage
Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Numer. Algorithms 65 (3) (2014)
Valentina Carapella, Rafel Bordas, Pras Pathmanathan, Jürgen E. Schneider, Peter Kohl, Kevin Burrage, Vicente Grau
Effect of Fibre Orientation Optimisation in an Electromechanical Model of Left Ventricular Contraction in Rat. FIMH (2013)
Yoshio Komori, Kevin Burrage
Strong first order S-ROCK methods for stochastic differential equations. J. Comput. Appl. Math. 242 (2013)
Fiete Haack, Kevin Burrage, Ronald Redmer, Adelinde M. Uhrmacher
Studying the Role of Lipid Rafts on Protein Receptor Bindings with Cellular Automata. IEEE ACM Trans. Comput. Biol. Bioinform. 10 (3) (2013)
Yuanling Niu, Kevin Burrage, Chengjian Zhang
A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations. J. Comput. Appl. Math. 253 (2013)
Xin Zhou, Alfonso Bueno-Orovio, Michele Orini, Ben M. Hanson, Martin P. Hayward, Peter Taggart, Pier D. Lambiase, Kevin Burrage, Blanca Rodríguez
Population of Human Ventricular Cell Models Calibrated with in vivo Measurements unravels Ionic Mechanisms of Cardiac Alternans. CinC (2013)
John Walmsley, Gary R. Mirams, Igor R. Efimov, Kevin Burrage, Blanca Rodríguez
Estimation of Conductivity Tensors from Human Ventricular Optical Mapping Recordings. FIMH (2013)
H. Jiang, Fawang Liu, Ian W. Turner, Kevin Burrage
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Comput. Math. Appl. 64 (10) (2012)
Tamás Székely, Kevin Burrage, Radek Erban, Konstantinos C. Zygalakis
A higher-order numerical framework for stochastic simulation of chemical reaction systems. BMC Syst. Biol. 6 (2012)
Fawang Liu, P. Zhuang, Kevin Burrage
Numerical methods and analysis for a class of fractional advection-dispersion models. Comput. Math. Appl. 64 (10) (2012)
Yoshio Komori, Kevin Burrage
Weak second order S-ROCK methods for Stratonovich stochastic differential equations. J. Comput. Appl. Math. 236 (11) (2012)
Kevin Burrage, Pamela M. Burrage
Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. J. Comput. Appl. Math. 236 (16) (2012)
Kevin Burrage, Nicholas Hale, David Kay
An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations. SIAM J. Sci. Comput. 34 (4) (2012)
Qiang Yu, Fawang Liu, Ian W. Turner, Kevin Burrage
A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Appl. Math. Comput. 219 (8) (2012)
Alhadi Bustamam, Kevin Burrage, Nicholas A. Hamilton
Fast Parallel Markov Clustering in Bioinformatics Using Massively Parallel Computing on GPU with CUDA and ELLPACK-R Sparse Format. IEEE ACM Trans. Comput. Biol. Bioinform. 9 (3) (2012)
Duncan Mortimer, Peter Dayan, Kevin Burrage, Geoffrey J. Goodhill
Bayes-Optimal Chemotaxis. Neural Comput. 23 (2) (2011)
Fawang Liu, Kevin Burrage
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Comput. Math. Appl. 62 (3) (2011)
Chang-Ming Chen, Fawang Liu, Kevin Burrage
Numerical analysis for a variable-order nonlinear cable equation. J. Comput. Appl. Math. 236 (2) (2011)
Ciara Ellen Dangerfield, David Kay, Kevin Burrage
Comparison of continuous and discrete stochastic ion channel models. EMBC (2011)
Yoshio Komori, Kevin Burrage
Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations. J. Comput. Appl. Math. 235 (17) (2011)
C. E. Dangerfield, David Kay, Kevin Burrage
Stochastic models and simulation of ion channel dynamics. ICCS (1) (2010)
Mikael Bodén, Graham Dellaire, Kevin Burrage, Timothy L. Bailey
A Bayesian Network Model of Proteins' Association with Promyelocytic Leukemia (PML) Nuclear Bodies. J. Comput. Biol. 17 (4) (2010)
Tatiana T. Marquez-Lago, André Leier, Kevin Burrage
Probability distributed time delays: integrating spatial effects into temporal models. BMC Syst. Biol. 4 (2010)
Pau Rué, Jordi Villà-Freixa, Kevin Burrage
Simulation methods with extended stability for stiff biochemical Kinetics. BMC Syst. Biol. 4 (2010)
Shev MacNamara, Kevin Burrage
Stochastic Modeling of Naïve T Cell Homeostasis for Competing Clonotypes via the Master Equation. Multiscale Model. Simul. 8 (4) (2010)
Kevin Burrage, Grant Lythe
Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations. SIAM J. Numer. Anal. 47 (3) (2009)
Fawang Liu, C. Yang, Kevin Burrage
Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. J. Comput. Appl. Math. 231 (1) (2009)
Dharma Lesmono, Elliot Tonkes, Kevin Burrage
Opportunistic timing and manipulation in Australian Federal Elections. Eur. J. Oper. Res. 192 (2) (2009)
Shev MacNamara, Kevin Burrage
Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade. Numer. Algorithms 51 (3) (2009)
Roger B. Sidje, Alan B. Williams, Kevin Burrage
Fast generalized cross validation using Krylov subspace methods. Numer. Algorithms 47 (2) (2008)
Dan V. Nicolau Jr., Kevin Burrage
Stochastic simulation of chemical reactions in spatially complex media. Comput. Math. Appl. 55 (5) (2008)
Dan V. Nicolau Jr., Kevin Burrage, Dan V. Nicolau, Philip K. Maini
'Extremotaxis': Computing with a bacterial-inspired algorithm. Biosyst. 94 (1-2) (2008)
Shev MacNamara, Kevin Burrage, Roger B. Sidje
Multiscale Modeling of Chemical Kinetics via the Master Equation. Multiscale Model. Simul. 6 (4) (2008)
Chang-Ming Chen, Fawang Liu, Kevin Burrage
Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation. Appl. Math. Comput. 198 (2) (2008)
Kevin Burrage, John Hancock, André Leier, Dan V. Nicolau Jr.
Modelling and simulation techniques for membrane biology. Briefings Bioinform. 8 (4) (2007)
Tianhai Tian, Songlin Xu, Junbin Gao, Kevin Burrage
Simulated maximum likelihood method for estimating kinetic rates in gene expression. Bioinform. 23 (1) (2007)
Fawang Liu, P. Zhuang, Vo Anh, Ian W. Turner, Kevin Burrage
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Appl. Math. Comput. 191 (1) (2007)
Roger B. Sidje, Kevin Burrage, Shev MacNamara
Inexact Uniformization Method for Computing Transient Distributions of Markov Chains. SIAM J. Sci. Comput. 29 (6) (2007)
André Leier, Kevin Burrage, Pamela M. Burrage
Stochastic Modelling and Simulation of Coupled Autoregulated Oscillators in a Multicellular Environment: The her1/her7 Genes. International Conference on Computational Science (1) (2007)
Jiangning Song, Zheng Yuan, Hao Tan, Thomas Huber, Kevin Burrage
Predicting disulfide connectivity from protein sequence using multiple sequence feature vectors and secondary structure. Bioinform. 23 (23) (2007)
Kevin Burrage, Ian Lenane, Grant Lythe
Numerical Methods for Second-Order Stochastic Differential Equations. SIAM J. Sci. Comput. 29 (1) (2007)
Jiangning Song, Kevin Burrage
Predicting residue-wise contact orders in proteins by support vector regression. BMC Bioinform. 7 (2006)
André Leier, P. Dwight Kuo, Wolfgang Banzhaf, Kevin Burrage
Evolving Noisy Oscillatory Dynamics in Genetic Regulatory Networks. EuroGP (2006)
Kevin Burrage, Lindsay Hood, Mark A. Ragan
Advanced computing for systems biology. Briefings Bioinform. 7 (4) (2006)
Manuel Barrio, Kevin Burrage, André Leier, Tianhai Tian
Oscillatory Regulation of Hes1: Discrete Stochastic Delay Modelling and Simulation. PLoS Comput. Biol. 2 (9) (2006)
Jiangning Song, Kevin Burrage, Zheng Yuan, Thomas Huber
isomerization in proteins using PSI-BLAST profiles and secondary structure information. BMC Bioinform. 7 (2006)
Kevin Burrage, Vladimir Estivill-Castro, Michael R. Fellows, Michael A. Langston, Shev Mac, Frances A. Rosamond
) Kernel. IWPEC (2006)
Roger B. Sidje, Kevin Burrage
QRT: A QR-Based Tridiagonalization Algorithm for Nonsymmetric Matrices. SIAM J. Matrix Anal. Appl. 26 (3) (2005)
Tianhai Tian, Kevin Burrage
A Mathematical Model for Genetic Regulation of the Lactose Operon. ICCSA (2) (2005)
Jasmine Banks, Geoffery Ericksson, Sean Ivermee, Kevin Burrage, P. Yellowless, Jennifer Tichon
A virtual environment to re-create the auditory and visual hallucinations of psychosis. VRCAI (2004)

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Publication Activity (10 Years)

Top Topics

Top Venues

Kevin Burrage