Browse By Person: Burrage, Kevin
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Number of items: 112.
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.
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63Hamilton, 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.
Journal Article
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.
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.
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126Liu, 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.
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38Chen, 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.
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1Alcock, 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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33Jiang, 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.
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5 6 3Burrage, 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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33 2 2Dangerfield, 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.
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44 1 1Dangerfield, 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.
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31 1Yu, 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.
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1 2Chen, 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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61 1Komori, 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.
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31 2 2Yang, 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.
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154Belward, 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.
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14Yates, Christian A. & Burrage, Kevin (2011) Look before you leap : a confidence-based method for selecting species criticality while avoiding negative populations in τ-leaping. Journal of Chemical Physics, 134(8).
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26 2 2Liu, 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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6 4Liu, Fawang, Walmsley, John, & Burrage, Kevin (2011) Parameter estimation for a phenomenological model of the cardiac action potential. The ANZIAM Journal, 52, C482-C499. (In Press)
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20Burrage, 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.
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1 1Pueyo, 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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11 7Dangerfield, C.E., Kay, D., & Burrage, Kevin (2010) Stochastic models and simulation of ion channel dynamics. Procedia Computer Science, 1(1), pp. 1581-1590.
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3 4Mortimer, Duncan, Dayan, Peter, Burrage, Kevin, & Goodhill, Geoffrey (2010) Bayes-optimal chemotaxis. Neural Computation, 23(2), pp. 336-373.
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2 3Boden, 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.
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2 2Melykuti, 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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78 10 7Abramson, 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.
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4 3Mortimer, 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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3 4Marquez-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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6 7Rue, Pau, Villa-Freixa, Jordi, & Burrage, Kevin (2010) Simulation methods with extended stability for stiff biochemical Kinetics. BMC Systems Biology, 4(110), pp. 1-13.
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33 2 2Liu, F., Hamilton, N., & Burrage, K. (2010) Some novel techniques of parameter estimation for the dynamical models in biological systems. IMA Journal of Numerical Analysis. (In Press)
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.
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1 1Rodriguez, 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.
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24 19Burrage, 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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1Mortimer, 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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35 38Macnamara, 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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1 1Liu, 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.
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135 31 28Lesmono, 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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1Burrage, 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.
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3Bode, 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.
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16 14Chen, 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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361 24 24Macnamara, 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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4 4Nicolau 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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3 2Sidje, 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.
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18 17Leier, 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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1 1Macnamara, 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.
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24 29Macnamara, 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--095105-13.
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22 16Nicolau, 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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4 6Burrage, 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.
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24 27Sidje, 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.
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14 12Burrage, 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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18 17Burrage, Kevin, Lenane, Ian, & Lythe, Grant (2007) Numerical methods for second-order stochastic differential equations. SIAM Journal on Scientific Computing, 29(1), pp. 245-264.
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16 16Song, 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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40 33Tian, 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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31 25Nicolau 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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46 48Liu, 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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59 55Tian, 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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55 46Leier, 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.
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16 17Burrage, 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.
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4 5Song, 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.
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1Nicolau 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.
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94 89Barrio, 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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67 63Song, 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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35 34Song, 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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42 42Tian, 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.
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64 59Tian, 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.
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15 17Sidje, 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.
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1 1Renton, 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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10 12Lesmono, 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.
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12 12Banks, 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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12 6Burrage, 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.
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50 46Carletti, 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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19 18Burrage, 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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195 56Burrage, Pamela & Burrage, Kevin (2003) A variable stepsize implementation for stochastic differential equations. SIAM Journal on Scientific Computing (SISC), 24(3), pp. 848-864.
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19 24Burrage, 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.
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39 32Burrage, 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.
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18 16Burrage, 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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49 51Burrage, 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.
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15 18Burrage, 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, pp. 161-177.
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21 25Burrage, 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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11 11Burrage, 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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75 76Conference 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.
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.
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4 1Macnamara, 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.
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3 3Leier, 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.
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1Leier, 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.
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9 11Burrage, 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.
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16 14Tian, 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.
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6Nicolau, 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.
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2Banks, 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.