Browse By Person: Burrage, Kevin

Wu, Jinran, Wang, You Gan, Burrage, Kevin, Tian, Yu-Chu, Lawson, Brodie, & Ding, Zhe (2020) An improved firefly algorithm for global continuous optimization problems. Expert Systems with Applications, 149, Article number: 113340 1-12.

Tang, Ming, Wang, Xiaocong, Gandhi, Neha S, Foley, Bethany Lachele, Burrage, Kevin, Woods, Robert J, et al. (2020) Effect of hydroxylysine-O-glycosylation on the structure of type I collagen molecule: A computational study. Glycobiology, pp. 1-14.

Sharp, Jesse, Browning, Alexander, Mapder, Tarunendu, Burrage, Kevin, & Simpson, Matthew (2019) Optimal control of acute myeloid leukaemia. Journal of Theoretical Biology, 470, pp. 30-42.

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Komori, Yoshio, Eremin, Alexey, & Burrage, Kevin (2019) S-ROCK methods for stochastic delay differential equations with one fixed delay. Journal of Computational and Applied Mathematics, 353, pp. 345-354.

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Tang, Ming, Gandhi, Neha S., Burrage, Kevin, & Gu, YuanTong (2019) Adsorption of collagen-like peptides onto gold nanosurfaces. Langmuir, 35(13), pp. 4435-4444.

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Tang, Ming, Gandhi, Neha S., Burrage, Kevin, & Gu, YuanTong (2019) Interaction of gold nanosurfaces/nanoparticles with collagen-like peptides. Physical Chemistry Chemical Physics, 21(7), pp. 3701-3711.

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Donovan, Diane, Burrage, Kevin, Burrage, Pamela, McCourt, Thomas, Thompson, Harold (Bevan), & Yazici, Emine Sule (2018) Estimates of the coverage of parameter space by Latin Hypercube and Orthogonal Array-based sampling. Applied Mathematical Modelling, 57, pp. 553-564.

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Suriadi, Suriadi, Leemans, Sander, Carrasco, Cristian, Keeney, Luke, Walters, Patrick, Burrage, Kevin, et al. (2018) Isolating the impact of rock properties and operational settings on minerals processing performance: A data-driven approach. Minerals Engineering, 122, pp. 53-66.

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Abdullah, Farah, Liu, Fawang, Burrage, Pamela, Burrage, Kevin, & Li, T. (2018) Novel analytical and numerical techniques for fractional temporal SEIR measles model. Numerical Algorithms, 79(1), pp. 19-40.

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Lawson, Brodie, Burrage, Kevin, Burrage, Pamela, Drovandi, Chris, & Bueno-Orovio, Alfonso (2018) Slow recovery of excitability increases ventricular fibrillation risk as identified by emulation. Frontiers in Physiology, 9, Article number: 1114 1-19.

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Tang, Ming, Li, Tong, Pickering, Edmund, Gandhi, Neha S., Burrage, Kevin, & Gu, YuanTong (2018) Steered molecular dynamics characterization of the elastic modulus and deformation mechanisms of single natural tropocollagen molecules. Journal of the Mechanical Behavior of Biomedical Materials, 86, pp. 359-367.

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Lawson, Brodie, Drovandi, Christopher, Cusimano, Nicole, Burrage, Pamela, Rodriguez, Blanca, & Burrage, Kevin (2018) Unlocking data sets by calibrating populations of models to data density: A study in atrial electrophysiology. Science Advances, 4(1), Article number: e1701676 1-18.

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Simmons, Alex, Burrage, Pamela, Nicolau Jr., Dan, Lakhani, Sunil, & Burrage, Kevin (2017) Environmental factors in breast cancer invasion: a mathematical modelling review. Pathology, 49(2), pp. 172-180.

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Bueno-Orovio, Alfonso & Burrage, Kevin (2017) Exact solutions to the fractional time-space Bloch-Torrey equation for magnetic resonance imaging. Communications in Nonlinear Science and Numerical Simulation, 52, pp. 91-109.

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Tang, Ming, Li, Tong, Gandhi, Neha S., Burrage, Kevin, & Gu, YuanTong (2017) Heterogeneous nanomechanical properties of type I collagen in longitudinal direction. Biomechanics and Modeling in Mechanobiology, 16(3), pp. 1023-1033.

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Zheng, Minling, Liu, Fawang, Liu, Qingxia, Burrage, Kevin, & Simpson, Matthew (2017) Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. Journal of Computational Physics, 338, pp. 493-510.

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Burrage, Kevin, Cardone, Angelamaria, D'Ambrosio, Raffaele, & Paternoster, Beatrice (2017) Numerical solution of time fractional diffusion systems. Applied Numerical Mathematics, 116, pp. 82-94.

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Cusimano, Nicole, Burrage, Kevin, Turner, Ian, & Kay, David (2017) On reflecting boundary conditions for space-fractional equations on a finite interval: Proof of the matrix transfer technique. Applied Mathematical Modelling, 42, pp. 554-565.

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Burrage, Kevin, Burrage, Pamela, Leier, Andre, & Marquez-Lago, Tatiana (2017) A review of stochastic and delay simulation approaches in both time and space in computational cell biology. In Holcman, D (Ed.) Stochastic processes, multiscale modeling, and numerical methods for computational cellular biology. Springer, Switzerland, pp. 241-261.

Psaltis, Steven, Farrell, Troy, Burrage, Kevin, Burrage, Pamela, McCabe, Peter, Moroney, Timothy, et al. (2017) Using population of models to investigate and quantify gas production in a spatially heterogeneous coal seam gas field. Applied Mathematical Modelling, 49, pp. 338-353.

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Komori, Yoshio, Cohen, David, & Burrage, Kevin (2017) Weak second order explicit exponential RUNGE-KUTTA methods for stochastic differential equations. SIAM Journal of Scientific Computing, 39(6), A2857-A2878.

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Bueno-Orovio, Alfonso, Teh, Irvin, Schneider, Jurgen, Burrage, Kevin, & Grau, Vicente (2016) Anomalous diffusion in cardiac tissue as an index of myocardial microstructure. IEEE Transactions on Medical Imaging, 35(9), pp. 2200-2207.

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Pueyo, Esther, Dangerfield, Ciara, Britton, Oliver, Virag, Laszlo, Kistamas, Kornel, Szentandrassy, Norbert, et al. (2016) Experimentally-based computational investigation into beat-to-beat variability in ventricular repolarization and its response to ionic current inhibition. PLoS One, 11(3), Article number: e0151461 1-20.

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Chen, Shanzhen, Liu, Fawang, Jiang, Xiaoyun, Turner, Ian, & Burrage, Kevin (2016) Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. SIAM Journal on Numerical Analysis, 54(2), pp. 606-624.

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Zhou, Xin, Bueno-Orovio, Alfonso, Orini, Michele, Hanson, Ben, Hayward, Martin, Taggart, Peter, et al. (2016) In vivo and in silico investigation into mechanisms of frequency dependence of repolarization alternans in human ventricular cardiomyocytes. Circulation Research, 118(2), pp. 266-278.

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Niu, Yuanling, Burrage, Kevin, & Chen, Luonan (2016) Modelling biochemical reaction systems by stochastic differential equations with reflection. Journal of Theoretical Biology, 396, pp. 90-104.

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Gemmell, Philip, Burrage, Kevin, Rodriguez, Blanca, & Quinn, T. Alexander (2016) Rabbit-specific computational modelling of ventricular cell electrophysiology: Using populations of models to explore variability in the response to ischemia. Progress in Biophysics and Molecular Biology, 121(2), pp. 169-184.

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Drovandi, Christopher, Cusimano, Nicole, Psaltis, Steven, Lawson, Brodie, Pettitt, Tony, Burrage, Pamela, et al. (2016) Sampling methods for exploring between-subject variability in cardiac electrophysiology experiments. Journal of the Royal Society Interface, 13(121), Article number: 20160214 1-12.

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Muszkiewicz, Anna, Britton, Oliver, Gemmell, Philip, Passini, Elisa, Sanchez, Carlos, Zhou, Xin, et al. (2016) Variability in cardiac electrophysiology: Using experimentally-calibrated populations of models to move beyond the single virtual physiological human paradigm. Progress in Biophysics and Molecular Biology, 120(1 - 3), pp. 115-127.

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Bednarz, Tomasz, Kim, June, Brown, Ross, James, Allan, Burrage, Kevin, Clifford, Sam, et al. (2016) Virtual reality for conservation. In International Conference on Web3D Technology, 2016-07-22 - 2016-07-24.

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Walmsley, John, Mirams, Gary, Pitt-Francis, Joe, Rodriguez, Blanca, & Burrage, Kevin (2015) Application of stochastic phenomenological modelling to cell-to-cell and beat-to-beat electrophysiological variability in cardiac tissue. Journal of Theoretical Biology, 365, pp. 325-336.

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Psaltis, Steven, Farrell, Troy, Burrage, Kevin, Burrage, Pamela, McCabe, Peter, Moroney, Timothy, et al. (2015) Mathematical modelling of gas production and compositional shift of a CSG (coal seam gas) field: Local model development. Energy, 88, pp. 621-635.

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Niu, Yuanling, Burrage, Kevin, & Zhang, Chengjian (2015) Multi-scale approach for simulating time-delay biochemical reaction systems. IET Systems Biology, 9(1), pp. 31-38.

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Cusimano, Nicole, Bueno-Orovio, Alfonso, Turner, Ian, & Burrage, Kevin (2015) On the order of the fractional Laplacian in determining the spatio-temporal evolution of a space-fractional model of cardiac electrophysiology. PLoS One, 10(12), Article number: e0143938 1-16.

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Burrage, Kevin, Burrage, Pamela, Donovan, Diane, & Thompson, Harold (Bevan) (2015) Populations of models, experimental designs and coverage of parameter space by Latin Hypercube and Orthogonal sampling. Procedia Computer Science, 51, pp. 1762-1771.

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Holcman, David, Dao Duc, Khanh, Jones, Anna, Byrne, Helen, & Burrage, Kevin (2015) Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem. Journal of Mathematical Biology, 70(4), pp. 805-828.

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Liu, Fawang, Zhuang, Pinghui, Turner, Ian, Anh, Vo, & Burrage, Kevin (2015) A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain. Journal of Computational Physics, 293, pp. 252-263.

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Barrio, Manuel, Burrage, Kevin, & Burrage, Pamela (2015) Stochastic linear multistep methods for the simulation of chemical kinetics. Journal of Chemical Physics, 142(6), Article number: 064101 1-13.

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Niu, Yuanling, Zhang, Chengjian, & Burrage, Kevin (2015) Strong predictor-corrector approximation for stochastic delay differential equations. Journal of Computational Mathematics, 33(6), pp. 587-605.

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Zeng, Fanhai, Liu, Fawang, Li, Changpin, Burrage, Kevin, Turner, Ian, & Anh, Vo (2014) A Crank-Nicolson adi spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. SIAM Journal on Numerical Analysis, 52(6), pp. 2599-2622.

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Suhartanto, Heru, Li, Xue, Burrage, Kevin, Yanuar, Arry, Bustamam, Alhadi, Hilman, Muhammad, et al. (2014) The development of integrated computing platform to improve user satisfaction and cost efficiency of in silico drug discovery activities. International Journal of Advancements in Computing Technology, 6(2), pp. 11-20.

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Szekely Jr, Tamas, Burrage, Kevin, Zygalakis, Konstantinos, & Barrio, Manuel (2014) Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method. BMC Systems Biology, 8, Article number: 71 1-18.

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Burrage, Kevin, Burrage, Pamela, Donovan, Diane, McCourt, Thomas, & Thompson, Harold (Bevan) (2014) Estimates on the coverage of parameter space using populations of models. In Ogwu, F J, Tanko, M N, Seboni, N M, Mmopelwa, G, & Anderson, G O (Eds.) Proceedings of the 5th IASTED African Conference on Environment and Water Resource Management. ACTA Press, United States of America, pp. 81-86.

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Bueno-Orovio, Alfonso, Kay, David, & Burrage, Kevin (2014) Fourier spectral methods for fractional-in-space reaction-diffusion equations. BIT Numerical Mathematics, 54(4), pp. 937-954.

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Bueno-Orovio, Alfonso, Kay, David, Grau, Vicente, Rodriguez, Blanca, & Burrage, Kevin (2014) Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization. Journal of the Royal Society Interface, 11(97), Article number: 20140352 1-12.

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Liu, Fawang, Zhuang, Pinghui, Turner, Ian, Burrage, Kevin, & Anh, Vo (2014) A new fractional finite volume method for solving the fractional diffusion equation. Applied Mathematical Modelling, 38(15 - 16), pp. 3871-3878.

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Chen, J., Liu, Fawang, Liu, Q., Chen, X., Anh, Vo, Turner, Ian, et al. (2014) Numerical simulation for the three-dimension fractional sub-diffusion equation. Applied Mathematical Modelling, 38(15 - 16), pp. 3695-3705.

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Chen, Shiping, Liu, Fawang, & Burrage, Kevin (2014) Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. Computers and Mathematics with Applications, 67(9), pp. 1673-1681.

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Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2014) Numerical simulation of the fractional Bloch equations. Journal of Computational and Applied Mathematics, 255, pp. 635-651.

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Liu, Fawang, Zhuang, Pinghui, Turner, Ian, Anh, Vo, & Burrage, Kevin (2014) Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model. In Baleanu, D & Tenreiro Machado, J A (Eds.) Proceedings of the 2014 International Conference on Fractional Differentiation and Its Applications (ICFDA). IEEE, United States of America, pp. 1-6.

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Gemmell, Philip, Burrage, Kevin, Rodriguez, Blanca, & Quinn, T. Alexander (2014) Population of computational rabbit-specific ventricular action potential models for investigating sources of variability in cellular repolarisation. PLoS One, 9(2), Article number: e90112 1-13.

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Carapella, Valentina, Bordas, Rafel, Pathmanathan, Pras, Lohezic, Maelene, Schneider, Jurgen, Kohl, Peter, et al. (2014) Quantitative study of the effect of tissue microstructure on contraction in a computational model of rat left ventricle. PLoS One, 9(4), Article number: e92792 1-12.

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Szekely Jr, Tamas, Burrage, Kevin, Mangel, Marc, & Bonsall, Michael (2014) Stochastic dynamics of interacting haematopoietic stem cell niche lineages. PLoS Computational Biology, 10(9), Article number: e1003794 1-19.

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Komori, Yoshio & Burrage, Kevin (2014) A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems. BIT Numerical Mathematics, 54(4), pp. 1067-1085.

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Jones, Anna, Byrne, Helen, & Burrage, Kevin (2014) Stochastic modelling of gene regulatory mechanisms in PTEN dynamics: Does space matter? (Conference Abstract). Biophysical Journal, 106(2(S1)), 378a-378a.

Szekely Jr, Tamas & Burrage, Kevin (2014) Stochastic simulation in systems biology. Computational and Structural Biotechnology Journal, 12(20 - 21), pp. 14-25.

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Burrage, Pamela & Burrage, Kevin (2014) Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Numerical Algorithms, 65(3), pp. 519-532.

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Burrage, Pamela, Moroney, Timothy J., Yang, Qianqian, Burrage, Kevin, Young, Joseph A., Kelson, Neil A., et al. (2013) Innovative approaches to the design and teaching of a computational and simulation science major. In EMAC 2013: Engineering Mathematics and Applications Conference, 2013-12-01 - 2013-12-04. (Unpublished)

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Niu, Yuanling, Burrage, Kevin, & Zhang, Chengjian (2013) A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations. Journal of Computational and Applied Mathematics, 253, pp. 51-65.

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Carapella, Valentina, Bordas, Rafel, Pathmanathan, Pras, Schneider, Jurgen, Kohl, Peter, Burrage, Kevin, et al. (2013) Effect of fibre orientation optimisation in an electromechanical model of left ventricular contraction in rat. In Smith, N, Ourselin, S, & Rueckert, D (Eds.) Functional Imaging and Modeling of the Heart: 7th International Conference, FIMH 2013, Proceedings (Lecture Notes in Computer Science, Volume 7945). Springer, Germany, pp. 46-53.

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Walmsley, John, Mirams, Gary, Efimov, Igor, Burrage, Kevin, & Rodriguez, Blanca (2013) Estimation of conductivity tensors from human ventricular optical mapping recordings. In Smith, N, Ourselin, S, & Rueckert, D (Eds.) Functional Imaging and Modeling of the Heart: 7th International Conference, FIMH 2013, Proceedings [Lecture Notes in Computer Science, Vol 7945]. Springer, Germany, pp. 224-231.

Cusimano, Nicole, Burrage, Kevin, & Burrage, Pamela (2013) Fractional models for the migration of biological cells in complex spatial domains. The ANZIAM Journal, 54, C250-C270.

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Robson, Alex, Burrage, Kevin, & Leake, Mark (2013) Inferring diffusion in single live cells at the single-molecule level. Philosophical Transactions of the Royal Society B: Biological Sciences, 368(1611), pp. 1-13.

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Carusi, Annamaria, Rodriguez, Blanca, & Burrage, Kevin (2013) Model systems in computational systems biology. In Duran, J M & Arnold, E (Eds.) Computer simulations and the changing face of scientific experimentation. Cambridge Scholars Publishing, United Kingdom, pp. 118-144.

Walmsley, John, Rodriguez, Jose, Mirams, Gary, Burrage, Kevin, Efimov, Igor, & Rodriguez, Blanca (2013) mRNA expression levels in failing human hearts predict cellular electrophysiological remodeling: a population-based simulation study. PLoS One, 8(2), pp. 1-11.

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Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2013) Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2D. Open Physics, 11(6), pp. 646-665.

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Liu, Fawang, Turner, Ian, Anh, Vo, Yang, Qianqian, & Burrage, Kevin (2013) A numerical method for the fractional Fitzhugh-Nagumo monodomain model. The ANZIAM Journal, 54, C608-C629.

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Chen, Chang-Ming, Liu, Fawang, Burrage, Kevin, & Chen, Y. (2013) Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. IMA Journal of Applied Mathematics, 78(5), pp. 924-944.

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Liu, Fawang, Cheng, Shiping, Turner, Ian, Burrage, Kevin, & Anh, Vo (2013) Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term. Open Physics, 11(10), pp. 1221-1232.

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Chen, J., Liu, Fawang, Burrage, Kevin, & Shen, S. (2013) Numerical techniques for simulating a fractional mathematical model of epidermal wound healing. Journal of Applied Mathematics and Computing, 41(1 - 2), pp. 33-47.

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Zhou, Xin, Bueno-Orovio, Alfonso, Orini, Michele, Hanson, Ben, Hayward, Martin, Taggart, Peter, et al. (2013) Population of human ventricular cell models calibrated with in vivo measurements unravels ionic mechanisms of cardiac alternans. In Murray, A (Ed.) Proceedings of the 2013 Computing in Cardiology Conference (CinC 2013). Institute of Electrical and Electronics Engineers ( IEEE ), United States of America, pp. 855-858.

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Ye, H., Liu, Fawang, Turner, Ian, Anh, Vo, & Burrage, Kevin (2013) Series expansion solutions for the multi-term time and space fractional partial differential equations in two- and three-dimensions. European Physical Journal: Special Topics, 222(8), pp. 1901-1914.

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Liu, Fawang, Burrage, Kevin, & Hamilton, Nicholas (2013) Some novel techniques of parameter estimation for dynamical models in biological systems. IMA Journal of Applied Mathematics, 78(2), pp. 235-260.

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Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2013) Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 371(1990), pp. 1-18.

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Komori, Yoshio & Burrage, Kevin (2013) Strong first order S-ROCK methods for stochastic differential equations. Journal of Computational and Applied Mathematics, 242, pp. 261-274.

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Haack, Fiete, Burrage, Kevin, Redmer, Ronald, & Uhrmacher, M (2013) Studying the role of lipid rafts on protein receptor bindings with cellular automata. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 10(3), pp. 760-770.

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Yu, Qiang, Liu, Fawang, Turner, Ian, Burrage, Kevin, & Vegh, Victor (2013) The use of a Riesz fractional differential-based approach for texture enhancement in image processing. The ANZIAM Journal, 54, C590-C607.

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Rodriguez, Jose F., Carro Fernandez, Jesus, Pueyo, Esther, Burrage, Kevin, & Rodriguez, Blanca (2012) Impact of multiple ionic changes in arrhythmic risk biomarkers in human ventricular electrophysiology. In Biophysical Society 56th Annual Meeting, 2012-02-25 - 2012-02-29.

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Gemmell, Philip M., Burrage, Kevin, Rodriguez, Blanca, & Quinn, T. Alexander (2012) Quantifying importance of repolarization currents underlying physiological variability in rabbit cellular electrophysiology. In Biophysical Society 56th Annual Meeting, 2012-02-25 - 2012-02-29.

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Walmsley, John, Burrage, Kevin, Pitt-Francis, Joe M., Mirams, Gary R., & Rodriguez, Blanca (2012) Stochasticity in action potential duration enhances dispersion of repolarisation at fast pacing rates. In Biophysical Society 56th Annual Meeting, 2012-02-25 - 2012-02-29.

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Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2012) Alternating direction implicit numerical method for the space and time fractional Bloch-Torrey equation in 3-D. In Sun, H, Cheng, W, & Baleanu, D (Eds.) Proceedings of the 5th IFAC Symposium on Fractional Differentiation and Its Applications. Hohai University, China, pp. 1-8.

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Jiang, Hui, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2012) Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Computers and Mathematics with Applications, 64(10), pp. 3377-3388.

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Jiang, Hui, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2012) Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. Journal of Mathematical Analysis and Applications, 389(2), pp. 1117-1127.

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Marquez-Lago, Tatiana, Leier, Andre, & Burrage, Kevin (2012) Anomalous diffusion and multifractional Brownian motion: simulating molecular crowding and physical obstacles in systems biology. IET Systems Biology, 6(4), pp. 134-142.

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Dangerfield, Ciara, Kay, David, Macnamara, Shev, & Burrage, Kevin (2012) A boundary preserving numerical algorithm for the Wright-Fisher model with mutation. BIT Numerical Mathematics, 52(2), pp. 283-304.

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Carusi, Annamaria, Burrage, Kevin, & Rodriguez, Blanca (2012) Bridging experiments, models and simulations: an integrative approach to validation in computational cardiac electrophysiology. American Journal of Physiology - Heart and Circulatory Physiology, 303(2), H144-H155.

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Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2012) A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Applied Mathematics and Computation, 219(8), pp. 4082-4095.

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Burrage, Kevin, Hale, Nicholas, & Kay, David (2012) An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. SIAM Journal of Scientific Computing, 34(4), A2145-A2172.

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Bustamam, Alhadi, Burrage, Kevin, & Hamilton, Nicholas (2012) Fast parallel Markov clustering in bioinformatics using massively parallel computing on GPU with CUDA and ELLPACK-R sparse format. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 9(3), pp. 679-692.

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Szekely Jr, Tamas, Burrage, Kevin, Erban, Radek, & Zygalakis, Konstantinos (2012) A higher-order numerical framework for stochastic simulation of chemical reaction systems. BMC Systems Biology, 6, pp. 1-19.

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Burrage, Kevin & Burrage, Pamela (2012) Low rank Runge-Kutta methods, symplecticity and stochastic Hamiltonian problems with additive noise. Journal of Computational and Applied Mathematics, 236(16), pp. 3920-3930.

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Dangerfield, Ciara, Kay, David, & Burrage, Kevin (2012) Modeling ion channel dynamics through reflected stochastic differential equations. Physical Review E, 85(5), pp. 1-15.

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Liu, Fawang, Zhuang, Pinghui, Turner, Ian, Burrage, Kevin, & Anh, Vo (2012) A new fractional finite volume method for solving the two-sided space fractional diffusion equation with a variable coefficient. In Gu, Y & Saha, S (Eds.) Proceedings of the 4th International Conference on Computational Methods. Queensland University of Technology, Australia, pp. 1-9.

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Liu, Fawang, Zhuang, Pinghui, & Burrage, Kevin (2012) Numerical methods and analysis for a class of fractional advection-dispersion models. Computers and Mathematics with Applications, 64(10), pp. 2990-3007.

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Chen, J., Liu, Fawang, Liu, Q., Turner, Ian, Anh, Vo, & Burrage, Kevin (2012) Numerical simulation for the three-dimension fractional sub-diffusion equation. In Gu, Y & Saha, S (Eds.) Proceedings of the 4th International Conference on Computational Methods. Queensland University of Technology, Australia, pp. 1-8.

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Chen, J., Liu, Fawang, Burrage, Kevin, & Shen, S. (2012) Numerical simulation of a fractional mathematical model for epidermal wound healing. In Sun, H, Chen, W, & Baleanu, D (Eds.) Proceedings of the 5th IFAC Symposium on Fractional Differentiation and Its Applications. Hohai University, China, pp. 1-7.

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Chen, Shiping, Liu, Fawang, & Burrage, Kevin (2012) Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. In Sun, H, Chen, W, & Balaenu, D (Eds.) Proceedings of the 5th IFAC Symposium on Fractional Differentiation and Its Applications. Hohai University, China, pp. 1-7.

Alcock, Jamie & Burrage, Kevin (2012) Stable strong order 1.0 schemes for solving stochastic ordinary differential equations. BIT Numerical Mathematics, 52(3), pp. 539-557.

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Burrage, K., Liu, F., Turner, I., & Anh, V. (2012) Two novel numerical methods for solving the two-dimensional fractional Fitzhugh-Nagumo-monodomain model. In The 16th Biennial Computational Techniques and Applications Conference, 2012-09-23 - 2012-09-26.

Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2012) Two numerical methods for the space and time fractional Bloch-Torrey equation with a nonlinear source term in 2D. In Gu, Y & Saha, S (Eds.) Proceedings of the 4th International Conference on Computational Methods. Queensland University of Technology, Australia, pp. 1-8.

Yu, Q., Liu, F., Turner, I., Burrage, K., & Vegh, V. (2012) The use of a Riesz fractional differential-based approach for texture enhancement in image processing. In The 16th Biennial Computational Techniques and Applications Conference, 2012-09-23 - 2012-09-26.

Komori, Yoshio & Burrage, Kevin (2012) Weak second order S-ROCK methods for Stratonovich stochastic differential equations. Journal of Computational and Applied Mathematics, 236(11), pp. 2895-2908.

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Yu, Qiang, Liu, Fawang, Turner, Ian, & Burrage, Kevin (2011) Analytical and numerical solutions of the space and time fractional bloch-torrey equation. In Jalili, N (Ed.) Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASME, United States, pp. 1-10.

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Mortimer, Duncan, Dayan, Peter, Burrage, Kevin, & Goodhill, Geoffrey (2011) Bayes-optimal chemotaxis. Neural Computation, 23(2), pp. 336-373.

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Deleyrolle, Loic, Ericksson, Geoffery, Morrison, Brian, Lopez, J. Alejandro, Burrage, Kevin, Burrage, Pamela, et al. (2011) Determination of somatic and cancer stem cell self-renewing symmetric division rate using sphere assays. PLoS One, 6(1), pp. 1-11.

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Belward, John, Burrage, Kevin, Teasdale, Rohan, & Hamilton, Nicholas (2011) Linear models for endocytic transformations from live cell imaging. In McLean, W & Roberts, T (Eds.) The ANZIAM Journal, Volume 52, Electronic Supplement: Proceedings of the 15th Biennial Computational Techniques and Applications Conference. Cambridge University Press, United Kingdom, C156-C171.

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Yates, Christian & Burrage, Kevin (2011) Look before you leap: A confidence-based method for selecting species criticality while avoiding negative populations in T-leaping. Journal of Chemical Physics, 134(8), pp. 1-13.

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Pueyo, Esther, Corrias, Alberto, Virag, Laszlo, Jost, Norbert, Szel, Tamas, Varro, Andras, et al. (2011) A multiscale investigation of repolarization variability and its role in cardiac arrhythmogenesis. Biophysical Journal, 101(12), pp. 2892-2902.

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Yang, Qianqian, Moroney, Timothy, Burrage, Kevin, Turner, Ian, & Liu, Fawang (2011) Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions. In McLean, W & Roberts, T (Eds.) The ANZIAM Journal, Volume 52, Electronic Supplement: Proceedings of the 15th Biennial Computational Techniques and Applications Conference. Cambridge University Press, United Kingdom, C395-C409.

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Liu, Fawang & Burrage, Kevin (2011) Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. Computers and Mathematics with Applications, 62(3), pp. 822-833.

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Chen, Chang-Ming, Liu, Fawang, & Burrage, Kevin (2011) Numerical analysis for a variable-order nonlinear cable equation. Journal of Computational and Applied Mathematics, 236(2), pp. 209-224.

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Liu, Fawang, Walmsley, John, & Burrage, Kevin (2011) Parameter estimation for a phenomenological model of the cardiac action potential. In McLean, W & Roberts, T (Eds.) The ANZIAM Journal, Volume 52, Electronic Supplement: Proceedings of the 15th Biennial Computational Techniques and Applications Conference. Cambridge University Press, United Kingdom, C482-C499.

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Liu, Fawang, Zhuang, Pinghui, & Burrage, Kevin (2011) Stability and convergence of implicit numerical methods for a class of fractional advection-dispersion models. In Jalili, N (Ed.) Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASME, United States, pp. 85-94.

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Macnamara, Shev & Burrage, Kevin (2011) Stochastic modelling of T cell homeostasis for two competing clonotypes via the master equation. In Lythe, G & Molina-Paris, C (Eds.) Mathematical Models and Immune Cell Biology. Springer, United States, pp. 207-225.

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Burrage, Kevin, van Casteren, Jan, & Piskarev, Sergey (2011) Stochastic regularization method for backward cauchy problem in banach spaces. Numerical Functional Analysis and Optimization, 32(10), pp. 1019-1040.

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Burrage, Kevin, Burrage, Pamela, Leier, Andre, Marquez-Lago, Tatiana, & Nicolau Jr., Dan (2011) Stochastic simulation for spatial modelling of dynamic processes in a living cell. In Setti, G, Koeppl, H, Densmore, D, & di Bernardo, M (Eds.) Design and Analysis of Biomolecular Circuits: Engineering Approaches to Systems and Synthetic Biology. Springer, United States, pp. 43-62.

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Komori, Yoshio & Burrage, Kevin (2011) Supplement: Efficient weak second order stochastic Runge-Kutta methods for non-commutative Stratonovich stochastic differential equations. Journal of Computational and Applied Mathematics, 235(17), pp. 5326-5329.

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Boden, Mikael, Dellaire, Graham, Burrage, Kevin, & Bailey, Timothy (2010) A Bayesian network model of proteins' association with promyelocytic leukemia (PML) nuclear bodies. Journal of Computational Biology, 17(4), pp. 617-630.

3

Barrio, Manuel, Burrage, Kevin, Burrage, Pamela, Leier, Andre, & Marquez-Lago, Tatiana (2010) Computational approaches for modeling intrinsic noise and delays in genetic regulatory networks. In Das, S, Hsu, W H, Welch, S, & Caragea, D (Eds.) Handbook of Research on Computational Methodologies in Gene Regulatory Networks. IGI Global, United States, pp. 169-197.

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Gemmell, Philip, Burrage, Kevin, Rodriguez, Blanca, & Quinn, T. Alexander (2010) Exploring the parameter space of a rabbit ventricular action potential model to investigate the effect of variation on action potential and calcium transients. In Monzon, J E & Patton, J L (Eds.) Proceedings of the 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, United States, pp. 2662-2665.

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Bustamam, Alhadi, Burrage, Kevin, & Hamilton, Nicholas (2010) Fast parallel Markov clustering in bioinformatics using massively parallel graphics processing unit computing. In Weber, M, Barnat, J, & Ballarini, P (Eds.) Proceedings of the 9th International Workshop on Parallel and Distributed Methods in verifiCation and 2nd International Workshop on High Performance Computational Systems Biology. IEEE Computer Society, United States, pp. 116-125.

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Melykuti, Bence, Burrage, Kevin, & Zygalakis, Konstantinos (2010) Fast stochastic simulation of biochemical reaction systems by alternative formulations of the chemical Langevin equation. Journal of Chemical Physics, 132(16), pp. 1-12.

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Abramson, David, Bernabeu, Miguel, Bethwaite, Blair, Burrage, Kevin, Corrias, Alberto, Enticott, Colin, et al. (2010) High-throughput cardiac science on the Grid. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 368(1925), pp. 3907-3923.

8

Mortimer, Duncan, Dayan, Peter, Burrage, Kevin, & Goodhill, Geoffrey (2010) Optimizing chemotaxis by measuring unbound-bound transitions. Physica D: Nonlinear Phenomena, 239(9), pp. 477-484.

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Liu, Fawang & Burrage, Kevin (2010) Parameter estimation for fractional dynamical models in biological systems. In Chen, Podlubny, I, Vinagre Jara, B M, Feliu Batlle, V, & Tejado Balsera, I (Eds.) Proceedings of the 4th IFAC Workshop on Fractional Differentiation and Its Applications. Technical University of Kosice, University of Extremadura, Spain, pp. 1-8.

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Walmsley, John, Mirams, Gary, Bahoshy, Maya, Bollensdorff, Christian, Rodriguez, Blanca, & Burrage, Kevin (2010) Phenomenological modeling of cell-to-cell and beat-to-beat variability in isolated guinea pig ventricular myocytes. In Monzon, J E & Patton, J L (Eds.) Proceedings of the 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, United States, pp. 1457-1460.

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Marquez-Lago, Tatiana, Leier, Andre, & Burrage, Kevin (2010) Probability distributed time delays: integrating spatial effects into temporal models. BMC Systems Biology, 4, pp. 1-16.

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Rue, Pau, Villa-Freixa, Jordi, & Burrage, Kevin (2010) Simulation methods with extended stability for stiff biochemical Kinetics. BMC Systems Biology, 4, pp. 1-13.

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Macnamara, Shev & Burrage, Kevin (2010) Stochastic Modeling of Naive T Cell Homeostasis for Competing Clonotypes via the Master Equation. Multiscale Modeling and Simulation, 8(4), pp. 1325-1347.

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Dangerfield, Ciara, Kay, David, & Burrage, Kevin (2010) Stochastic models and simulation of ion channel dynamics. Procedia Computer Science, 1(1), pp. 1587-1596.

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Rodriguez, Blanca, Burrage, Kevin, Gavaghan, David, Grau, Vicente, Kohl, Peter, & Noble, Dennis (2010) The Systems Biology Approach to Drug Development: Application to Toxicity Assessment of Cardiac Drugs. Clinical Pharmacology and Therapeutics, 88(1), pp. 130-134.

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Burrage, Kevin & Lythe, Grant (2009) Accurate stationary densities with partitioned numerical methods for stochastic differential equations. SIAM Journal on Numerical Analysis, 47(3), pp. 1601-1618.

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Mortimer, Duncan, Feldner, Julia, Vaughan, Timothy, Vetter, Irina, Pujic, Zac, Rosoff, William, et al. (2009) A Bayesian model predicts the response of axons to molecular gradients. Proceedings of the National Academy of Sciences of the United States of America, 106(25), pp. 10296-10301.

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Macnamara, Shev & Burrage, Kevin (2009) Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade. Numerical Algorithms, 51(3), pp. 281-307.

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Liu, Fawang, Yang, Chen, & Burrage, Kevin (2009) Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term. Journal of Computational and Applied Mathematics, 231(1), pp. 160-176.

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Lesmono, Dharma, Tonkes, Elliot, & Burrage, Kevin (2009) Opportunistic timing and manipulation in Australian Federal Elections. European Journal of Operational Research, 192(2), pp. 677-691.

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Burrage, Pamela, Burrage, Kevin, Kurowski, Krzysztof, Lorenc, M., Nicolau Jr., Dan, Swain, Martin, et al. (2009) A parallel plasma membrane simulation. In Mazza, T (Ed.) Proceedings of the 2009 International Workshop on High Performance Computational Systems Biology. IEEE, United States, pp. 105-112.

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Burrage, Kevin, Jackiewicz, Zdzislaw, & Welfert, Bruno (2009) Spectral approximation of time windows in the solution of dissipative linear differential equations. Journal of Numerical Analysis, Industrial and Applied Mathematics, 4(1 - 2), pp. 41-64.

Bode, Michael, Burrage, Kevin, & Possingham, Hugh P. (2008) Using complex network metrics to predict the persistence of metapopulations with asymmetric connectivity patterns. Ecological Modelling, 214(2-4), pp. 201-209.

Macnamara, Shev, Burrage, Kevin, & Sidje, Roger (2008) Application of the Strang splitting to the chemical master equation for simulating biochemical kinetics. International Journal of Computational Science, 2(3), pp. 402-421.

Rudge, Tim & Burrage, Kevin (2008) Effects of intrinsic and extrinsic noise can accelerate juxtacrine pattern formation. Bulletin of Mathematical Biology, 70(4), pp. 971-991.

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Nicolau Jr., Dan, Burrage, Kevin, Nicolau, Dan, & Maini, Phillip (2008) 'Extremotaxis': Computing with a bacterial-inspired algorithm. BioSystems, 94(1 - 2), pp. 47-54.

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Sidje, Roger, Wiliams, Alan, & Burrage, Kevin (2008) Fast generalized cross validation using Krylov subspace methods. Numerical Algorithms, 47(2), pp. 109-131.

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Chen, Chang-ming, Liu, Fawang, & Burrage, Kevin (2008) Finite Difference Methods and a Fourier Analysis for the Fractional Reaction-Subdiffusion Equation. Applied Mathematics and Computation, 198(2), pp. 754-769.

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Leier, Andre, Marquez-Lago, Tatiana, & Burrage, Kevin (2008) Generalized binomial Tau-leap method for biochemical kinetics incorporating both delay and intrinsic noise. Journal of Chemical Physics, 128(20), pp. 1-14.

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Leier, Andre, Marquez-Lago, Tatiana, Burrage, Kevin, & Burrage, Pamela (2008) Modeling intrinsic noise and delays in chemical kinetics of coupled autoregulated oscillating cells. International Journal for Multiscale Computational Engineering, 6(1), pp. 77-86.

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Macnamara, Shev, Bersani, Alberto, Burrage, Kevin, & Sidje, Roger (2008) Stochastic chemical kinetics and the total quasi-steady-state assumption: Application to the stochastic simulation algorithm and chemical master equation. Journal of Chemical Physics, 129, Article number: 095105 1-13.

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Burrage, Kevin, Burrage, Pamela, Leier, Andre, & Marquez-Lago, Tatiana (2008) Stochastic delay models for molecular clocks and somite formation. In Aste, T, Dewar, R, Abbott, D, Guttmann, T, Batchelor, M, & Di Matteo, T (Eds.) Proceedings: Complex Systems II ( SPIE 6802). SPIE - International Society for Optical Engineering, United States, pp. 1-11.

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Nicolau Jr., Dan & Burrage, Kevin (2008) Stochastic simulation of chemical reactions in spatially complex media. Computers and Mathematics with Applications, 55(5), pp. 1007-1018.

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Burrage, Kevin (2007) The African Institute for Mathematical Sciences. Gazette of the Australian Mathematical Society, 34(2), pp. 92-93.

Hamilton, Nicholas, Kerr, Markus, Burrage, Kevin, & Teasdale, Rohan (2007) Analyzing real-time video microscopy: The dynamics and geometry of vesicles and tubules in endocytosis. In Dasso, M, Yamada, K M, Harford, J B, Bonifacino, J S, & Lippincott-Schwartz, J (Eds.) Current Protocols in Cell Biology. John Wiley and Sons, Inc., United States of America, pp. 1-11.

Marquez-Lago, Tatiana & Burrage, Kevin (2007) Binomial tau-leap spatial stochastic simulation algorithm for applications in chemical kinetics. Journal of Chemical Physics, 127(10), pp. 1-9.

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Macnamara, Shev, Burrage, Kevin, & Sidje, Roger (2007) An improved dynamic Finite State Projection algorithm for the numerical solution of the chemical master equation with applications. The ANZIAM Journal, 48, pp. 413-435.

Sidje, Roger, Burrage, Kevin, & Macnamara, Shev (2007) Inexact uniformization method for computing transient distributions of Markov chains. SIAM Journal of Scientific Computing, 29(6), pp. 2562-2580.

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Burrage, Kevin, Hancock, John, Leier, Andre, & Nicolau Jr., Dan (2007) Modelling and simulation techniques for membrane biology. Briefings in Bioinformatics, 8(4), pp. 234-244.

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Macnamara, Shev, Burrage, Kevin, & Sidje, Roger (2007) Multiscale modeling of chemical kinetics via the master equation. Multiscale Modeling and Simulation, 6(4), pp. 1146-1168.

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Burrage, Kevin, Lenane, Ian, & Lythe, Grant (2007) Numerical methods for second-order stochastic differential equations. SIAM Journal of Scientific Computing, 29(1), pp. 245-264.

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Song, Jiangning, Yuan, Zheng, Tan, Hao, Huber, Thomas, & Burrage, Kevin (2007) Predicting disulfide connectivity from protein sequence using multiple sequence feature vectors and secondary structure. Bioinformatics, 23(23), pp. 3147-3154.

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Tian, Tianhai, Xu, Songlin, Gao, Junbin, & Burrage, Kevin (2007) Simulated maximum likelihood method for estimating kinetic rates in gene expression. Bioinformatics, 23(1), pp. 84-91.

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Nicolau Jr., Dan, Hancock, John, & Burrage, Kevin (2007) Sources of anomalous diffusion on cell membranes: A Monte Carlo study. Biophysical Journal, 92(6), pp. 1975-1987.

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Liu, Fawang, Zhuang, Pinghui, Anh, Vo, Turner, Ian, & Burrage, Kevin (2007) Stability and convergence next term of the difference methods for the space-time fractional advection-diffusion equation. Applied Mathematics and Computation, 191(1), pp. 12-20.

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Macnamara, Shev, Burrage, Kevin, & Sidje, Roger (2007) Stochastic analysis of the VEGF receptor response curve. In Pham, T D & Zhou, X (Eds.) Computational Models For Life Sciences: Proceedings of the 2007 International Symposium on Computational Models of Life Sciences - AIP Conference Proceedings, Vol. 952. American Institute of Physics Press, United States of America, pp. 238-247.

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Tian, Tianhai, Burrage, Kevin, Burrage, Pamela, & Carletti, Margherita (2007) Stochastic delay differential equations for genetic regulatory networks. Journal of Computational and Applied Mathematics, 205(2), pp. 696-707.

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Leier, Andre, Burrage, Kevin, & Burrage, Pamela (2007) Stochastic modelling and simulation of coupled autoregulated oscillators in a multicellular environment: The her1/her7 genes. Lecture Notes in Computer Science, 4487, Article number: ICCS 778-785.

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Nicolau, Jr, Dan V., Burrage, Kevin, & Nicolau, Dan V. (2006) Computing with motile bio-agents. In SPIE 2006, 2006-12-27 - 2006-12-27.

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Burrage, Kevin, Burrage, Pamela, Hamilton, N., & Tian, Tianhai (2006) Computer-intensive simulations for cellular models. In Zomaya, Albert Y. (Ed.) Parallel Computing for Bioinformatics and Computational Biology: Models, Enabling Technologies, and Case Studies. John WIley & Sons Inc, New Jersey, United States, pp. 79-119.

Burrage, Kevin, Macnamara, Shev, & Tian, Tianhai (2006) Accelerated leap methods for simulating discrete stochastic chemical kinetics. In Commault, C & Marchand, N (Eds.) Positive Systems: Proceedings of the 2nd Multidisciplinary International Symposium on Positive Systems: Theory and Applications. Springer, Germany, pp. 359-366.

5

Burrage, Kevin, Hood, Lindsay, & Ragan, Mark (2006) Advanced computing for systems biology. Briefings in Bioinformatics, 7(4), pp. 390-398.

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Burrage, Kevin, Burrage, Pamela, Higham, Desmond, Kloeden, Peter, & Platen, Eckhard (2006) Comment on 'Numerical methods for stochastic differential equations'. Physical Review E, 74(6), pp. 1-2.

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Tian, Tianhai & Burrage, Kevin (2006) An effective stepsize selection procedure for discrete simulation of biochemical reaction systems. The ANZIAM Journal, 48, pp. 1022-1040.

Leier, Andre & Burrage, Kevin (2006) Evolving genetic regulatory networks performing as stochastic switches. In Kovacs, T & Marshall, A R (Eds.) Proceedings of AISB'06: Adaptation in Artificial and Biological Systems, Volume 3. Society for the Study of Artificial Intelligence and the Simulation of Behaviour, United Kingdom, pp. 150-157.

Leier, Andre, Kuo, P. Dwight, Banzhaf, Wolfgang, & Burrage, Kevin (2006) Evolving noisy oscillatory dynamics in genetic regulatory networks. Lecture Notes in Computer Science, 3905, pp. 290-299.

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Song, Jiangning, Wang, Minglei, & Burrage, Kevin (2006) Exploring synonymous codon usage preferences of disulfide-bonded and non-disulfide bonded cysteines in the E. coli genome. Journal of Theoretical Biology, 241(2), pp. 390-401.

3

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Nicolau, Dan, Burrage, Kevin, Parton, Robert, & Hancock, John (2006) Identifying optimal lipid raft characteristics required to promote nanoscale protein-protein interactions on the plasma membrane. Molecular and Cellular Biology, 26(1), pp. 313-323.

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Burrage, Kevin, Hegland, M., Macnamara, Shev, & Sidje, Roger (2006) A Krylov-based finite state projection algorithm for solving the chemical master equation arising in the discrete modelling of biological systems. In Mam 2006 : Markov Anniversary Meeting: an international conference to celebrate the 150th anniversary of the birth of A.A. Markov, 2006-06-12 - 2006-06-14.

Burrage, Kevin, Hegland, Markus, Macnamara, Shev, & Sidje, Roger (2006) A Krylov-based FSP algorithm for solving the chemical master equation arising in the discrete modelling of biological systems. In Stewart, W J & Langville, A N (Eds.) MAM 2006 : Markov Anniversary Meeting: an international conference to celebrate the 150th anniversary of the birth of A.A. Markov. Boson Books, United States of America, pp. 21-38.

Abdullah, Farah & Burrage, Kevin (2006) Modelling travelling waves in spatially constrained environment. In Mohd A, l N & Md Ismail, A (Eds.) Proceedings of the 2nd IMT-GT Regional Conference on Mathematics, Statistics and Their Applications. School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia, pp. 1-8.

Abdullah, Farah Aini & Burrage, Kevin (2006) Modelling travelling waves in spatially constrained environment solutions. In The 2nd IMT-GT 2006 Regional Conference on Mathematics, Statistics and Applications, 2006-06-13 - 2006-06-15.

Alcock, Jamie & Burrage, Kevin (2006) A note on the Balanced method. BIT Numerical Mathematics, 46(4), pp. 689-710.

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Barrio, Manuel, Burrage, Kevin, Leier, Andre, & Tian, Tianhai (2006) Oscillatory regulation of Hes1: Discrete stochastic delay modelling and simulation. PLoS Computational Biology, 2(9), pp. 1017-1030.

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Song, Jiangning & Burrage, Kevin (2006) Predicting residue-wise contact orders in proteins by support vector regression. BMC Bioinformatics, 7, pp. 1-15.

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Song, Jiangning, Burrage, Kevin, Yuan, Zheng, & Huber, Thomas (2006) Prediction of cis/trans isomerization in proteins using PSI-BLAST profiles and secondary structure information. BMC Bioinformatics, 7, pp. 1-13.

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Tian, Tianhai & Burrage, Kevin (2006) Stochastic models for regulatory networks of the genetic toggle switch. Proceedings of the National Academy of Sciences of the United States of America, 103(22), pp. 8372-8377.

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Burrage, Kevin, Estivill-Castro, Vladimir, Fellows, Michael, Langston, Michael, & Rosamond, Frances (2006) The undirected feedback vertex set problem has a poly(k) kernel. Lecture Notes in Computer Science, 4169, Article number: IWPEC 192-202.

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Lesmono, D., Tonkes, E. J., & Burrage, Kevin (2005) A continuous time model for election timing. Australian Mathematical Society Gazette, 32(5), pp. 329-339.

Tian, Tianhai & Burrage, Kevin (2005) A mathematical model for genetic regulation of the lactose operon. Lecture Notes in Computer Science, 3481, pp. 1245-1253.

4

Tian, Tianhai & Burrage, Kevin (2005) Parallel implementation of stochastic simulation for large-scale cellular processes. In Fan, J & Lee, J (Eds.) Proceedings of the 8th International Conference on High-Performance Computing in Asia-Pacific Region. IEEE, United States of America, pp. 1-6.

14

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Sidje, Roger & Burrage, Kevin (2005) QRT: A QR-based tridiagonalization algorithm for nonsymmetric matrices. SIAM Journal on Matrix Analysis and Applications, 26(3), pp. 878-900.

1

Nicolau, Dan & Burrage, Kevin (2005) A software tool for simulating spatial separation and kinetics in biological membranes. In Nicolau, D V (Ed.) Biomedical Applications of Micro- and Nanoengineering II: Proceedings of SPIE Volume, 5651. SPIE - International Society for Optical Engineering, United States of America, pp. 85-94.

Renton, Michael, Hanan, Jim, & Burrage, Kevin (2005) Using the canonical modelling approach to simplify the simulation of function in functional-structural plant models. New Phytologist, 166(3), pp. 845-857.

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Burrage, Pamela, Herdiana, R, & Burrage, Kevin (2004) Adaptive stepsize based on control theory for stochastic differential equations. Journal of Computational and Applied Mathematics, 170(2), pp. 317-336.

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Banks, Jasmine, Ericksson, Geoffery, Burrage, Kevin, Yellowlees, Peter, Ivermee, Sean, & Tichon, Jennifer (2004) Constructing the hallucinations of psychosis in Virtual Reality. Journal of Network and Computer Applications, 27(1), pp. 1-11.

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Burrage, Kevin, Tian, Tianhai, & Burrage, Pamela (2004) A multi-scaled approach for simulating chemical reaction systems. Progress in Biophysics & Molecular Biology, 85(2-3), pp. 217-234.

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Burrage, Kevin, Burrage, Pamela, & Tian, Tianhai (2004) Numerical methods for strong solutions of stochastic differential equations : an overview. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 460(2041), pp. 373-402.

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Carletti, Margherita, Burrage, Kevin, & Burrage, Pamela (2004) Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Mathematics and Computers in Simulation, 64(2), pp. 271-277.

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Banks, Jasmine, Ericksson, G, Ivermee, S, Burrage, Kevin, Yellowlees, Peter, & Tichon, Jennifer (2004) A virtual environment to re-create the auditory and visual hallucinations of psychosis. In Spencer, S (Ed.) Proceedings of the 2004 ACM SIGGRAPH international conference on Virtual Reality Continuum and its Applications in Industry (VRCAI). Association for Computing Machinery Incorporated, United Statesof America, New York, pp. 45-48.

Burrage, Pamela & Burrage, Kevin (2003) A variable stepsize implementation for stochastic differential equations. SIAM Journal of Scientific Computing, 24(3), pp. 848-864.

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Banks, Jasmine, Tichon, Jennifer, Ericksson, Geoffery, Ivermee, Sean, Burrage, Kevin, & Yellowlees, Peter (2003) A virtual environment to simulate the experience of psychosis. In Sun, C, Talbot, H, Ourselin, S, & Adriaansen, T (Eds.) Proceedings of the V11th Digital Image Computing: Techniques and Applications. CSIRO Publishing, Australia, Victoria, Melbourne, pp. 869-878.

Runqiang, Bian, Chen, Yi-Ping Phoebe, Burrage, Kevin, Hannan, Jim, Room, Peter, & Belward, John (2002) Derivation of L-system Models from Measurements Biological Branching Structures Using Genetic Algorithms. In Ali, M & Hendtlass, T (Eds.) Developments in Applied Artificial Intelligence, Proceedings of the 15th International Conference on Industrial and Engineering Applications of Artificial Intelligence and Experty Systems, IEA/AIE 2002. Springer-Verlag, Berlin, Heidelberg, Germany, pp. 514-524.

10

Brugnano, Luigi, Burrage, Kevin, & Burrage, Pamela (2000) Adams-type methods for the numerical solution of stochastic ordinary differential equations. BIT Numerical Mathematics, 40(3), pp. 451-470.

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Burrage, Kevin, Burrage, Pamela, & Mitsui, Taketomo (2000) Numerical solutions of stochastic differential equations - implementation and stability issues. Journal of Computational and Applied Mathematics, 125(1-2), pp. 171-182.

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Burrage, Kevin & Burrage, Pamela (2000) Order conditions of stochastic Runge-Kutta methods by B-series. SIAM Journal on Numerical Analysis, 38(5), pp. 1626-1646.

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Burrage, Kevin & Burrage, Pamela (1999) High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula. Physica D: Nonlinear Phenomena, 133(1-4), pp. 34-48.

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Burrage, Kevin & Burrage, Pamela (1998) General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems. Applied Numerical Mathematics, 28(2 - 4), pp. 161-177.

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Burrage, Kevin, Burrage, Pamela, & Belward, John (1997) A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations. BIT Numerical Mathematics, 37(4), pp. 771-780.

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Burrage, Kevin & Burrage, Pamela (1996) High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Applied Numerical Mathematics, 22(1 - 3), pp. 81-101.

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