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Number of items: 130.

Book Chapter

MacNamara, Shev & Burrage, Kevin (2011) Stochastic modelling of T cell homeostasis for two competing clonotypes via the master equation. In Molina-Paris, Carmen & Lythe, Grant (Eds.) Mathematical Models and Immune Cell Biology. Springer, New York, pp. 207-225.

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

Barrio, Manuel, Burrage, Kevin, Burrage, Pamela, Leier, Andre, & Marquez-Lago, Tatiana (2010) Computational approaches for modelling intrinsic noise and delays in genetic regulatory networks. In Das, Sanjoy, Caragea, Doina, Welch, Stephen, & Hsu, William H. (Eds.) Handbook of Research on Computational Methodologies in Gene Regulatory Networks. IGI Global, Hershey PA, pp. 169-197.
Number of full-text downloads 118
Number of citations in Scopus 1

Hamilton, Nicholas A., Kerr, Markus C., Burrage, Kevin, & Teasdale, Rohan D. (2007) Analyzing real-time video microscopy : the dynamics and geometry of vesicles and tubules in endocytosis. In Morgan, K. (Ed.) Current Protocols in Cell Biology. Wiley InterScience, 4.16.

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, New Jersey, United States, pp. 79-119.
Number of citations in Scopus 1

Journal Article

Burrage, Pamela & Burrage, Kevin (2014) Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise. Numerical Algorithms, 65(3), pp. 519-532.
Number of full-text downloads 42

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: an international journal, 67(9), pp. 1673-1681.

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.
Number of citations in Scopus 1

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 - 1), pp. 3871-3878.

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.
Number of full-text downloads 50

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.
Number of citations in Scopus 3

Ye, H., Liu, Fawang, Turner, Ian, Anh, Vo, & Burrage, Kevin (2013) Series expansion solutions for the -term time and space fractional partial differential equations in two- and three-dimensions. European Physical Journal: Special Topics, 222(8), pp. 1901-1914.
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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.
Number of citations in Scopus 6
Number of citations in Web of Science® 4

Komori, Yoshio & Burrage, Kevin (2013) Strong first order S-ROCK methods for stochastic differential equations. Journal of Computational and Applied Mathematics, pp. 261-274.
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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.
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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, pp. 51-65.

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.
Number of citations in Scopus 12
Number of citations in Web of Science® 10

Jiang, H., Liu, F., Turner, I., & Burrage, K. (2012) Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain. Computers & Mathematics with Applications, 64(10), pp. 3377-3388.
Number of full-text downloads 282
Number of citations in Scopus 13
Number of citations in Web of Science® 12

Liu, F., Zhuang, P., & Burrage, K. (2012) Numerical methods and analysis for a class of fractional advection-dispersion models. Computers and Mathematics with Applications, 64(10), pp. 2990-3007.
Number of full-text downloads 72
Number of citations in Scopus 13
Number of citations in Web of Science® 9

Chen, C.M., Liu, F., Burrage, K., & Chen, Y. (2012) Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative. IMA Journal of Applied Mathematics, pp. 1-21.
Number of full-text downloads 33

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.
Number of full-text downloads 114
Number of citations in Scopus 1
Number of citations in Web of Science® 1

Jiang, H., Liu, F., Turner, I., & Burrage, K. (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.
Number of full-text downloads 124
Number of citations in Scopus 22
Number of citations in Web of Science® 19

Marquez-Lago, Tatiana, Leier, Andre, & Burrage, Kevin (2012) Anomalous diffusion and fractional Brownian motion: simulating molecular crowding and physical obstacles in systems biology. IET Systems Biology, 6(4), pp. 134-142.
Number of citations in Scopus 3
Number of citations in Web of Science® 2

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.
Number of citations in Scopus 20
Number of citations in Web of Science® 16

Robson, Alex, Burrage, Kevin, & Leake, Mark C. (2012) Inferring diffusion in single live cells at the single-molecule level. Philosophical Transactions of the Royal Society B: Biological Sciences, 368(1611), p. 20120029.
Number of citations in Scopus 3
Number of citations in Web of Science® 7

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.
Number of full-text downloads 100
Number of citations in Scopus 9
Number of citations in Web of Science® 6

Dangerfield, Ciara E., Kay, David, & Burrage, Kevin (2012) Modeling ion channel dynamics through reflected stochastic differential equations. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 85(5), 051907-1.
Number of full-text downloads 121
Number of citations in Scopus 7
Number of citations in Web of Science® 5

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.
Number of citations in Scopus 4
Number of citations in Web of Science® 3

Dangerfield, C.E., Kay, D., MacNamara, S., & Burrage, K. (2012) A boundary preserving numerical algorithm for the Wright-Fisher model with mutation. BIT Numerical Mathematics, 52(2), pp. 283-304.
Number of full-text downloads 74
Number of citations in Scopus 1
Number of citations in Web of Science® 2

Yu, Q., Liu, F., Turner, I., & Burrage, K. (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.
Number of full-text downloads 42
Number of citations in Scopus 7
Number of citations in Web of Science® 5

Burrage, Kevin, Hale, Nicholas, & Kay, David (2012) An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. SIAM Journal on Scientific Computing, 34(4), A2145-A2172.
Number of citations in Scopus 13
Number of citations in Web of Science® 9

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, pp. 1-19.
Number of citations in Scopus 2
Number of citations in Web of Science® 3

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.
Number of full-text downloads 84
Number of citations in Scopus 2
Number of citations in Web of Science® 2

Komori, Yoshio & Burrage, Kevin (2011) Supplement : Efficient weak second-order stochastic Runge-Kutta methods for non-commutative Stratonvich stochastic differential equations. Journal of Computational and Applied Mathematics, 235(17), pp. 5326-5329.
Number of full-text downloads 60
Number of citations in Scopus 3
Number of citations in Web of Science® 3

Yang, Qianqian, Moroney, Timothy J., Burrage, Kevin, Turner, Ian, & Liu, Fawang (2011) Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions. Australian and New Zealand Industrial and Applied Mathematics Journal, 52, C395-C409.
Number of full-text downloads 212

Belward, John, Burrage, Kevin, Teasdale, Rohan D., & Hamilton, Nicholas A. (2011) Linear models for endocytic transformations from live cell imaging. The ANZIAM Journal, 52, C156-C171.
Number of full-text downloads 27

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.
Number of citations in Scopus 18
Number of citations in Web of Science® 16

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.
Number of citations in Scopus 14
Number of citations in Web of Science® 13

Liu, F., Hamilton, N., & Burrage, K. (2011) Some novel techniques of parameter estimation for the dynamical models in biological systems. IMA Journal of Numerical Analysis, 78(2), pp. 235-260.
Number of citations in Scopus 1

Burrage, Kevin, Casteren, J. van, & Piskarev, S. (2011) Stochastic regularization method for backward Cauchy problem in Banach spaces. Numerical Functional Analysis and Optimization, 32(10), pp. 1019-1040.
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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.
Number of citations in Scopus 24
Number of citations in Web of Science® 17

Dangerfield, C.E., Kay, D., & Burrage, K. (2010) Stochastic models and simulation of ion channel dynamics. Procedia Computer Science, 1(1), pp. 1581-1590.
Number of citations in Scopus 3
Number of citations in Web of Science® 4

Mortimer, Duncan, Dayan, Peter, Burrage, Kevin, & Goodhill, Geoffrey (2010) Bayes-optimal chemotaxis. Neural Computation, 23(2), pp. 336-373.
Number of citations in Scopus 7
Number of citations in Web of Science® 7

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.
Number of citations in Scopus 3
Number of citations in Web of Science® 3

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.
Number of full-text downloads 185
Number of citations in Scopus 15
Number of citations in Web of Science® 10

Abramson, David, Bernabeu, Miguel, Bethwaite, Blair, Burrage, Kevin, Corrias, Alberto, Enticott, Colin, et al. (2010) High-throughput cardiac science on the Grid. Royal Society of London. Philosophical Transactions A. Mathematical, Physical and Engineering Sciences., 368(1925), pp. 3907-3923.
Number of citations in Scopus 5
Number of citations in Web of Science® 4

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.
Number of citations in Scopus 7
Number of citations in Web of Science® 6

Liu, Fawang, Walmsley, John, & Burrage, Kevin (2010) Parameter estimation for a phenomenological model of the cardiac action potential. The ANZIAM Journal, 52, C482-C499.
Number of full-text downloads 43

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.
Number of citations in Scopus 9
Number of citations in Web of Science® 7

Rue, Pau, Villa-Freixa, Jordi, & Burrage, Kevin (2010) Simulation methods with extended stability for stiff biochemical Kinetics. BMC Systems Biology, 4(110), pp. 1-13.
Number of full-text downloads 91
Number of citations in Scopus 5
Number of citations in Web of Science® 5

Macnamara, Shev & Burrage, Kevin (2010) Stochastic Modeling of Naive T Cell Homeostasis for Competing Clonotypes via the Master Equation. Multiscale Modeling and Simulation: a SIAM Interdisciplinary Journal, 8(4), pp. 1325-1347.
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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 & Therapeutics, 88(1), pp. 130-134.
Number of citations in Scopus 33
Number of citations in Web of Science® 27

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.
Number of citations in Scopus 4
Number of citations in Web of Science® 3

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.
Number of citations in Scopus 49
Number of citations in Web of Science® 48

Liu, F., Yang, C., & Burrage, K. (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.
Number of full-text downloads 156
Number of citations in Scopus 63
Number of citations in Web of Science® 54

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.
Number of citations in Scopus 2
Number of citations in Web of Science® 1

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.
Number of citations in Scopus 3

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.
Number of citations in Scopus 20
Number of citations in Web of Science® 17

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.
Number of full-text downloads 523
Number of citations in Scopus 48
Number of citations in Web of Science® 46

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.
Number of citations in Scopus 7
Number of citations in Web of Science® 6

Nicolau Jr., Dan, Burrage, Kevin, Nicolau, Dan, & Maini, Phillip (2008) 'Extremotaxis': Computing with a bacterial-inspired algorithm. BioSystems, 94(1 - 2), pp. 47-54.
Number of citations in Scopus 3
Number of citations in Web of Science® 2

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

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.
Number of citations in Scopus 29
Number of citations in Web of Science® 21

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.
Number of citations in Scopus 2
Number of citations in Web of Science® 1

Macnamara, Shev, Burrage, Kevin, & Sidje, Roger (2008) Multiscale modeling of chemical kinetics via the master equation. Multiscale Modeling and Simulation: a SIAM Interdisciplinary Journal, 6(4), pp. 1146-1168.
Number of citations in Scopus 34
Number of citations in Web of Science® 35

Macnamara, Shev, Bersani, Alberto M., Burrage, Kevin, & Sidje, Roger (2008) Stochastic chemical kinetics and the quasi-steady-state assumption : application to the stochastic simulation algorithm and chemical master equation. Journal of Chemistry Physics, 129(9), 095105-1.
Number of full-text downloads 49
Number of citations in Scopus 28
Number of citations in Web of Science® 21

Nicolau, Dan & Burrage, Kevin (2008) Stochastic simulation of chemical reactions in spatially complex media. Computers and Mathematics with Applications, 55(5), pp. 1007-1018.
Number of citations in Scopus 4
Number of citations in Web of Science® 5

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

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.
Number of citations in Scopus 35
Number of citations in Web of Science® 34

Sidje, Roger, Burrage, Kevin, & Macnamara, Shev (2007) Inexact uniformization method for computing transient distributions of Markov chains. SIAM Journal on Scientific Computing, 29(6), pp. 2562-2580.
Number of citations in Scopus 20
Number of citations in Web of Science® 15

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.
Number of citations in Scopus 22
Number of citations in Web of Science® 21

Burrage, Kevin, Lenane, Ian, & Lythe, Grant (2007) Numerical methods for second-order stochastic differential equations. SIAM Journal on Scientific Computing, 29(1), pp. 245-264.
Number of citations in Scopus 24
Number of citations in Web of Science® 20

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.
Number of citations in Scopus 47
Number of citations in Web of Science® 39

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.
Number of citations in Scopus 40
Number of citations in Web of Science® 29

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.
Number of citations in Scopus 54
Number of citations in Web of Science® 55

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.
Number of citations in Scopus 105
Number of citations in Web of Science® 98

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.
Number of citations in Scopus 79
Number of citations in Web of Science® 66

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, pp. 778-785.

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.

Burrage, Kevin, Hood, Lindsay, & Ragan, Mark (2006) Advanced computing for systems biology. Briefings in Bioinformatics, 7(4), pp. 390-398.
Number of citations in Scopus 19
Number of citations in Web of Science® 17

Burrage, Kevin, Burrage, Pamela, Higham, Desmond, Kloeden, Peter, & Platen, Eckhard (2006) Comment on 'Numerical methods for stochastic differential equations'. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 74(6), pp. 1-2.
Number of citations in Scopus 4
Number of citations in Web of Science® 4

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.
Number of citations in Scopus 2
Number of citations in Web of Science® 2

Nicolau Jr., 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.
Number of citations in Scopus 102
Number of citations in Web of Science® 92

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.
Number of citations in Scopus 92
Number of citations in Web of Science® 84

Song, Jiangning & Burrage, Kevin (2006) Predicting residue-wise contact orders in proteins by support vector regression. BMC Bioinformatics, 7, pp. 1-15.
Number of citations in Scopus 40
Number of citations in Web of Science® 42

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.
Number of citations in Scopus 51
Number of citations in Web of Science® 45

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 AmericaNational Academy of Sciences, 103(22), pp. 8372-8377.
Number of citations in Scopus 81
Number of citations in Web of Science® 72

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

Alcock, Jamie & Burrage, Kevin (2006) A note on the Balanced method. BIT Numerical Mathematics, 46(4), pp. 689-710.
Number of citations in Scopus 24
Number of citations in Web of Science® 22

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.
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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.
Number of citations in Scopus 16
Number of citations in Web of Science® 16

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

Burrage, P., Herdiana, R, & Burrage, K. (2004) Adaptive stepsize based on control theory for stochastic differential equations. Journal of Computational and Applied Mathematics, 170(2), pp. 317-336.
Number of citations in Scopus 14
Number of citations in Web of Science® 12

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.
Number of citations in Scopus 14
Number of citations in Web of Science® 7

Burrage, Kevin, Burrage, Pamela, & Tian, Tianhai (2004) Numerical methods for strong solutions of stochastic differential equations : an overview. Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences, 460(2041), pp. 373-402.
Number of citations in Scopus 63
Number of citations in Web of Science® 53

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.
Number of citations in Scopus 23
Number of citations in Web of Science® 19

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.
Number of citations in Scopus 240
Number of citations in Web of Science® 57

Burrage, Pamela & Burrage, Kevin (2003) A variable stepsize implementation for stochastic differential equations. SIAM Journal on Scientific Computing (SISC), 24(3), pp. 848-864.
Number of citations in Scopus 24
Number of citations in Web of Science® 25

Burrage, Pamela, Burrage, Kevin, & Mitsui, Takemitsui (2000) Numerical solutions of stochastic differential equations – implementation and stability issues. Journal of Computational and Applied Mathematics, 125(1 Feb), pp. 171-182.
Number of citations in Scopus 43
Number of citations in Web of Science® 33

Burrage, Kevin, Burrage, Pamela, & Brugnano, L (2000) Adams-Type Methods for the Numerical Solution of Stochastic Ordinary Differential Equations. Bit (Lisse), 40(3), pp. 451-470.
Number of citations in Scopus 19
Number of citations in Web of Science® 18

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.
Number of citations in Scopus 57
Number of citations in Web of Science® 53

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 Apr), pp. 34-48.
Number of citations in Scopus 16
Number of citations in Web of Science® 18

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.
Number of citations in Scopus 11
Number of citations in Web of Science® 10

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.
Number of citations in Scopus 83
Number of citations in Web of Science® 77

Conference Paper

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 Cheng, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing, China, pp. 1-8.

Chen, J., Liu, F., Burrage, K., & Shen, S. (2012) Numerical simulation of a fractional mathematical model for epidermal wound healing. In Chen, Wen, Sun, HongGuang, & Baleanu, Dumitru (Eds.) Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing.

Chen, S., Liu, F., & Burrage, K. (2012) Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media. In Chen, Wen, Sun, HongGuang, & Balaenu, Dumitru (Eds.) The Proceedings of the 5th Symposium on Fractional Differentiation and Its Applications, Hohai University, Hohai University, Nanjing, pp. 1-7.

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

Liu, F., Zhuang, P., & Burrage, K. (2011) Stability and convergence of implicit numerical methods for a class of fractional advection-dispersion models. In Jalili, Nader (Ed.) Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Washington, DC, pp. 85-94.

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 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC 2010), 31 August - 4 September 2010, Buenos Aires Sheraton Hotel, Buenos Aires.
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBS 2010), 31 August - 4 September 2010, Buenos Aires Sheraton Hotel, Argentina.
Number of citations in Scopus 6
Number of citations in Web of Science® 3

Macnamara, Shev, Burrage, Kevin, & Sidje, Roger B. (2007) Stochastic analysis of the VEGF receptor response curve. In Pham, Tuan D. & Zhou, Xiaobo (Eds.) Computational Models For Life Sciences (CMLS '07): Proceedings of International Symposium on Computational Models for Life Sciences, Springer, Australia, Queensland, pp. 238-247.

Nicolau, Dan V. Jr, Burrage, Kevin, & Nicolau, Dan V. (2006) Computing with motile bio-agents. In Nicolau, Dan V. (Ed.) Biomedical Applications of Micro- and Nanoengineering III, SPIE, Adelaide, SA, 64160S-1-64160S-9.

Burrage, Kevin, Macnamara, Shev, & Tian, Tianhai (2006) Accelerated leap methods for simulating discrete stochastic chemical kinetics. In Commault, Christian & Marchand, Nicholas (Eds.) Lecture Notes in Control and Information Science: The Second Multidisciplinary International Symposium on Positive Systems : Theory and Applications (POSTA 06), Springer Verlag, France, Grenoble, pp. 359-366.
Number of citations in Scopus 3
Number of citations in Web of Science® 2

Leier, Andre & Burrage, Kevin (2006) Evolving genetic regulatory networks performing as stochastic switches. In Hoche, Susanne, Memmott, Jane, Monk, Nick, & Nurnberger, Andreas (Eds.) Contributions of the Symposium on Network Analysis in Natural Sciences and Engineering, part of AISB'06: Adaption in Artificial and Biological Systems, Bristol, England, pp. 63-70.
Number of citations in Scopus 1

Leier, Andre, Kuo, P. Dwight, Banzhaf, Wolfgang, & Burrage, Kevin (2006) Evolving noisy oscillatory dynamics in genetic regulatory networks. In Collet, Pierre, Tomassini, Marco, Ebner, Marc, Gustafson, Steven, & Ekart, Aniko (Eds.) Lecture Notes in Computer Science : Genetic Programming, Springer, Budapest, pp. 290-299.
Number of citations in Scopus 10
Number of citations in Web of Science® 12

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 Langville, A. N. & Stewart, W. J. (Eds.) Proceedings of the Markov 150th Anniversary Conference, Boston Books, Charleston, South Carolina, pp. 21-38.

Abdullah, Farah Aini & Burrage, Kevin (2006) Modelling travelling waves in spatially constrained environment solutions. In Proceedings of The 2nd IMT-GT 2006 Regional Conference on Mathematics, Statistics and Applications, School of Mathematics Sciences, Universiti Sains Malaysia, Malaysia, Penang, pp. 76-82.

Burrage, Kevin, Estivill-Castro, Vladimir, Fellows, Michael R., Langston, Michael A., Macnamara, Shev, & Rosamond, Frances A. (2006) The undirected feedback vertex set problem has a Poly(k) Kernel. In Lecture Notes in Computer Science, Springer Berlin / Heidelberg, Zurich, Switzerland, pp. 192-202.
Number of citations in Scopus 22
Number of citations in Web of Science® 17

Tian, Tianhai & Burrage, Kevin (2005) Parallel implementation of stochastic simulation for large scale cellular processes. In Li, Kai & Sekiguchi, Satoshi (Eds.) Proceedings. Eighth International Conference on High-Performance Computing in Asia-Pacific Region, IEEE, China, Beijing, pp. 621-626.
Number of citations in Scopus 7
Number of citations in Web of Science® 1

Nicolau, Dan V. Jr & Burrage, Kevin (2005) A software tool for simulating spatial separation and kinetics in biological membranes. In Nicolau, Dan V. (Ed.) Biomedical Applications of Micro- and Nanoengineering II, Brisbane, pp. 85-94.

Tian, Tianhai & Burrage, Kevin (2005) A mathematical model for genetic regulation of the lactose operon. In Gervasi, Osvaldo, Gavrilova, Marina L., Kumar, Vipin, Lagana, Antonio, Lee, Heow Pueh, Mun, Youngsong, et al. (Eds.) Lecture Notes in Computer Science: Computational Science and Its Applications (ICCSA 2005) Part II, Springer, Singapore, pp. 1245-1253.
Number of citations in Scopus 3

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), 16-18 June 2004, Singapore, Singapore City.

Belward, John, Burrage, Kevin, Chen, Yi-Ping Phoebe, Hannan, Jim, Room, Peter, & Runqiang, Bian (2002) Derivation of L-system Models from Measurements Biological Branching Structures Using Genetic Algorithms. In Hendtlass, & Ali, (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, 17-20 June 2002, Cairns, Australia.

Conference Item

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

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 Turner, Ian (Chair) (Ed.) The 16th Biennial Computational Techniques and Applications Conference, 23 - 26 September, 2012 , Brisbane, Queensland.

This list was generated on Fri Dec 19 16:09:57 2014 AEST.