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Mortimer, Duncan, Feldner, Julia, Vaughan, Timothy, Vetter, Irina, Pujic, Zac, Rosoff, William J., Burrage, Kevin, Dayan, Peter, Richards, Linda J. and Goodhill, Geoffrey J. (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: 10296-10301. doi:10.1073/pnas.0900715106 221   50 Cited 51 times in Scopus51 0
Boden, Mikael, Dellaire, Graham, Burrage, Kevin and Bailey, Timothy L. (2010) A bayesian network model of proteins' association with promyelocytic leukemia (PML) nuclear bodies. Journal of Computational Biology, 17 4: 617-630. doi:10.1089/cmb.2009.0140 175   3 Cited 3 times in Scopus3 0
Burrage, K, Burrage, PM and Belward, JA (1997) A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations. BIT Numerical Mathematics, 37 4: 771-780. doi:10.1007/BF02510351 72   11 0
Renton, M., Hanan, J. S. and Burrage, K. (2004). A canonical toolkit for modelling plant function. In: C. Godin and et al., Proceedings of the 4th International Workshop on Functional-Structural Plant Models. 4th International Workshop on Functional-Structural Plant Models, Montpellier, France, (226-230). 7-11 June, 2004. 264  
Burrage, Kevin, Mac, Shev and Tian, Tianhai (2006). Accelerated leap methods for simulating discrete stochastic chemical kinetics. In: Christian Commault and Nicholas Marchand, Lecture Notes in Control and Information Sciences: 2nd Multidisciplinary International Symposium on Positive Sys. 2nd Multidisciplinary International Symposium on Positive Sys, Grenoble, France, (359-366). 30 August -1 September, 2006. doi:10.1007/11757344_46 204   3 Cited 3 times in Scopus3 0
Burrage, K, Hertono, G, Jackiewicz, Z and Welfert, BD (2001) Acceleration of convergence of static and dynamic iterations. Bit, 41 4: 645-655. doi:10.1023/A:1021935700208 111   1 0
Burrage, Kevin and Lythe, Grant (2009) Accurate stationary densities with partitioned numerical methods for stochastic differential equations. Siam Journal on Numerical Analysis, 47 3: 1601-1618. doi:10.1137/060677148 66   3 Cited 4 times in Scopus4 0
Lesmono, D., Tonkes, E. J. and Burrage, K. (2005) A Continuous Time Model for Election Timing. Australian Mathematical Society Gazette, 32 5: 329-339. 93  
Brugnano, L., Burrage, K. and Burrage, P. M. (2000) Adams-type methods for the numerical solution of stochastic ordinary differential equations. BIT Numerical Mathematics, 40 3: 451-470. doi:10.1023/A:1022363612387 67   18 0
Burrage, PM, Herdiana, R and Burrage, K (2004) Adaptive stepsize based on control theory for stochastic differential equations. Journal of Computational And Applied Mathematics, 170 2: 317-336. doi:10.1016/j.cam.2004.01.027 144   14 Cited 14 times in Scopus14 0
Burrage, Kevin, Hood, Lindsay and Ragan, Mark A. (2006) Advanced computing for systems biology. Briefings in Bioinformatics, 7 4: 390-398. doi:10.1093/bib/bbl033 80   20 Cited 20 times in Scopus20 0
Williams, R., Burrage, K., Cameron, I. and Kerr, M. (2002) A four-stage index 2 Diagonally Implicit Runge-Kutta method. Applied Numerical Mathematics, 40 3: 415-432. doi:10.1016/S0168-9274(01)00090-3 90   12 Cited 13 times in Scopus13 0
Alcock, J and Burrage, K (2004) A genetic estimation algorithm for parameters of stochastic ordinary differential equations. Computational Statistics & Data Analysis, 47 2: 255-275. doi:10.1016/j.csda.2003.11.025 139   8 Cited 9 times in Scopus9 0
Bustamam, Alhadi, Burrage, Kevin and Hamilton, Nicholas A. (2010). A GPU implementation of fast parallel Markov clustering in Bioinformatics using ELLPACK-R sparse data format. In: Juan E. Guerrero, Proceedings of the 2nd International Conference on Advances in Computing, Control and Telecommunication Technologies. ACT 2010, Jakarta, Indonesia, (173-175). 2 - 3 December, 2010. doi:10.1109/ACT.2010.10 154 4 Cited 1 times in Scopus1 0
Burrage, K., Burrage, P. M., Jeffrey, S. J., Pickett, T., Sidje, R. B. and Tian, T. (2003). A Grid Implementation of Chemical Kinetic Simulation Methods in Genetic Regulation. In: J. Young and R. Chhabra, Proceedings of the APAC Conference and Exhibition on Advanced Computing, Grid Applications and eResearch. APAC'03, Royal Pines Resort, Gold Coast, (1-8). 29 September - 2 October 2003. 144  
Burrage, K., Hegland, M., Macnamara, F. and Sidje, B. (2006). A Krylov-based Finite State Projection algorithm for solving the chemical master equation arising in the discrete modelling of biological systems. In: A. N. Langville and W. J. Stewart, Mam 2006 : Markov Anniversary Meeting: an international conference to celebrate the 150th anniversary of the birth of A.A. Markov. Markov Anniversary Meeting: an international conference to celebrate the 150th anniversary of the birth of A.A. Markov, Charleston, South Carolina, USA, (21-38). June 12-14, 2006. 255  
Tian, T. and Burrage, K. (2005). A mathematical model for genetic regulation of the lactose operon. In: Osvaldo Gervasi, Computational Science and Its Applications - Iccsa 2005, Pt 2. International Conference on Computational Science and its Appl, Singapore, (1245-1253). 9-12 May, 2005. 81   0 Cited 3 times in Scopus3
Burrage, Kevin, Tian, Tianhai and Burrage, Pamela (2004) A multi-scaled approach for simulating chemical reaction systems. Progress in Biophysics and Molecular Biology, 85 2-3: 217-234. doi:10.1016/j.pbiomolbio.2004.01.004 74   64 Cited 73 times in Scopus73 3
Hamilton, N. A., Kerr, M., Burrage, K. and Teasdale, R. D. (2007). Analyzing real-time video microscopy: the dyamics and geometry of vescicles and tubules in endocytosis.. In Bonifacio, J. S., Dasso, M., Harford, J. B., Lippincott-Schwartz, J. and Yamada K. M. (Ed.), Current Protocols in Cell Biology 35 ed. (pp. 4.16.1-1.16.11) USA: John Wiley & Sons. 132  
Sidje, R. B., Burrage, K. and Philippe, B. (2003) An augmented Lanczos algorithm for the efficient computation of a dot-product of a function of a large sparse symmetric matrix. Computational Science - ICCS 2003, LNCS 2659 693-704. 112   1 Cited 1 times in Scopus1
Lesmono, D., Tonkes, E. J. and Burrage, K. (2003) An early political election problem. The ANZIAM Journal Electronic Supplement, 45 Part C: 16-33. 37  
Bustamam, A., Sehgal, M. S., Hamilton, N. A., Wong, S., Ragan, M. A. and Burrage, K (2009). An efficient parallel implementation of Markov clustering algorithm for large-scale protein-protein interaction networks that uses MPI. In: I. M. Arnawa, M. Muhafzan and S. Bahri, Proceedings of the 5th IMT-GT international conference on mathematics, statistics and their applications 2009 (ICMSA 2009). 5th IMT-GT international conference on mathematics, statistics and their applications, Bukittinggi, Indonesia, (94-101). 9 -11 June 2009. 418  
Williams, R., Cameron, I. T. and Burrage, K. (2000) A new index 2 Runga-Kutta method for the simulation of batch and discontinuous processes. Computers and Chemical Engineering, 24 2-7: 625-630. doi:10.1016/S0098-1354(00)00349-5 72   1 Cited 1 times in Scopus1 0
MacNamara, S., Burrage, K. and Sidje, R. B. (2006). An improved Finite State Projection Algorithm for the numerical solution of the chemical master equation with applications. In: Wayne Read, Jay W. Larson and A. J. Roberts, Proceedings of the 13th Biennial Computational Techniques and Applications Conference : CTAC-2006 in ANZIAM Journal. CTAC'06 : The 13th Biennial Computational Techniques and Applications Conference, James Cook University, Townsville, (C413-C435). 2-5 July 2006. 78   Cited 0 times in Scopus0
Alcock, Jamie and Burrage, Kevin (2006) A note on the Balanced method. Bit Numerical Mathematics, 46 4: 689-710. doi:10.1007/s10543-006-0098-4 114   25 Cited 25 times in Scopus25 0
Lesmono, D., Pollett, P. K., Tonkes, E. J. and Burrage, K. (2008) A note on the existence and uniqueness of a bounded mean-reverting process. Journal of the Indonesian Mathematical Society, 14 2: 83-93. 83  
Burrage, K. and Tian, T. (2000) A note on the stability properties of the Euler methods for solving stochastic differential equations. New Zealand Journal of Mathematics, 29 115-127. 81  
Christen, P., Atlas, I., Hegland, M., Roberts, S., Burrage, K. and Sidje, R. B. (1999). A parallel finite element surface fitting algorithm for data mining. In: E. H. D'Hollander, G. R. Joubert, F. J. Peters and H. J. Sips, Proceedings of the International Conference ParCo00; Parallel Computing, Fundamentals & Applications. Proceedings of the International Conference ParCo00, Delft Netherlands, (275-282). 17-20 August 1999. 53  
Burrage, P. M., Burrage, K., Kurowski, K., Lorenc, M., Nicolau Jr., D. V., Swain, M. and Ragan, M. A. (2009). A parallel plasma membrane simulation. In: 2009 International Workshop on High Performance Computational Systems Biology (HiBi 2009). Proceedings. HiBi 09: 1st International Workshop on High Performance Computational Systems Biology, Trento, Italy, (105-112). 14-16 October, 2009. doi:10.1109/HiBi.2009.18 37   0 Cited 0 times in Scopus0 0
Gates, K.E., Hanson, G.R. and Burrage, K. (1997). Application of Homotopy in the Analysis of Magnetic Resonance Spectra. No. 721790. 42  
MacNamara, Shev, Burrage, Kevin and Sidje, Roger B. (2008) Application of the strang splitting to the chemical master equation for simulating biochemical kinetics. International Journal of Computational Science, 2 3: 402-421. 182  
Burrage, PM and Burrage, K (2002) A variable stepsize implementation for stochastic differential equations. Siam Journal On Scientific Computing, 24 3: 848-864. doi:10.1137/S1064827500376922 204   28 Cited 25 times in Scopus25 0
Banks, J. E., Ericksson, G. B., Ivermee, S., Burrage, K., Yellowlees, P. M. and Tichon, J.G. (2004). A virtual environment to re-create the auditory and visual hallucinations of psychosis. In: S N. Spencer, Proceedings VRCAI 2004 Virtual Reality Continuum and its Applications in Industry. VRCAI 2004, Nanyang Technological University, Singapore, (45-48). June 16-18, 2004. 127  
Banks, J., Tichon, J., Eriksson, G., Ivermee, S., Burrrage, K. and Yellowlees, P. (2003). A virtual environment to simulate the experience of psychosis. In: DICTA 2003, 7th conference of Digital Imaging Computing: techniques & applications, Sydney, Australia, (869-878). 10-12 December 2012. 22  
Mortimer, Duncan, Dayan, Peter, Burrage, Kevin and Goodhill, Geoffrey J. (2011) Bayes-optimal chemotaxis. Neural Computation, 23 2: 336-373. doi:10.1162/NECO_a_00075 73   7 Cited 7 times in Scopus7 0
Tian, TH and Burrage, K (2004) Binomial leap methods for simulating stochastic chemical kinetics. Journal of Chemical Physics, 121 21: 10356-10364. doi:10.1063/1.1810475 124   159 Cited 172 times in Scopus172 0
Marquez-Lago, Tatiana T. and Burrage, Kevin (2007) Binomial tau-leap spatial stochastic simulation algorithm for applications in chemical kinetics. Journal of Chemical Physics, 127 10: 104101-104109. doi:10.1063/1.2771548 122   35 Cited 39 times in Scopus39 0
Tian, TH and Burrage, K (2004) Bistability and switching in the lysis/lysogeny genetic regulatory network of bacteriophage lambda. Journal of Theoretical Biology, 227 2: 229-237. doi:10.1016/j.jtbi.2003.11.003 239   46 Cited 51 times in Scopus51 0
Burrage, K., Burrage,P. M., Hamilton, N. and Tian, T (2006). Computer-intensive simulations for cellular models. In Albert Y Zomaya (Ed.), Parallel Computing in Bioinformatics and Computational Biology 1 ed. (pp. 79-119) New Jersey, USA: John Wiley & Sons. 91  
Gates, K. E., Hanson, G. R. and Burrage, K. (2001). Computer simulation of magnetic resonance spectra employing homotopy. GB2320579. 70  
Gates, K.E., Hanson, G.R. and Burrage, K. (1997). Computer simulation of magnetic resonance spectra employing homotopy. 6,052,519. 51  
Hanson, G. R., Noble, C. J., Gates, K. E. and Burrage, K. (1999). Computer simulation of pulsed electron paramagnetic resonance spectra for a generalised spin hamiltonian and arbitrary pulse sequence. In: 2nd Asia-Pacific EPR/ESR Symposium Proceedings. 2nd Asia-Pacific EPR/ESR Symposium Proceedings, Hangzhou, China, (171). 31 Oct - 4 Nov, 1999. 40  
Noble, C. J., Hanson, G. R., Gates, K. E. and Burrage, K. (1999). Computer simulation of pulsed electron paramagnetic resonance spectra for a generalised spin hamiltonian and arbitrary pulse sequence. In: 41st Rocky Mountain Conference on Analytical Chemistry. 41st Rocky Mountain Conference on Analytical Chemistry, Denver, (67-68). 1st - 5th August, 1999. 40  
Griffin, M., Gates, K. E., Hanson, G. R., Noble, C. J. and Burrage, K. (1999). Computer simulation of randomly oriented EPR employikng homotopy. In: 41 Rocky Mountain Conference on Analytical Chemistry. 41st Rocky Mountain Conference on Analytical Chemistry, Denver, Colorado, U.S.A., (55-55). 1st - 5th August , 1999. 58  
Gates, K.E., Griffin, M.P., Hanson, G.R. and Burrage, K. (1998). Computer simulation of randomly oriented EPR spectra employing homotopy. In: Applied Magnetic Resonance: Proceedings of the Joint 29th AMPERE - 13th ISMAR International Conference. A joint 29th AMPERE — 13th ISMAR International Conference on Magnetic Resonance and Related Phenomena Revisited, Berlin, Germany, (1212-1212). 2-7 August, 1998. doi:10.1007/BF03162015 27   1 0
Banks, Jasmine, Eriksson, Geoffery, Burrage, Kevin, Yellowlees, Peter, Ivermee, Sean and Tichon, Jennifer (2004) Constructing the hallucinations of psychosis in Virtual Reality. Journal of Network And Computer Applications, 27 1: 1-11. doi:10.1016/S1084-8045(03)00031-6 177   7 Cited 14 times in Scopus14 0
Yuan, DJ and Burrage, K (2003) Convergence of the parallel chaotic waveform relaxation method for stiff systems. Journal of Computational And Applied Mathematics, 151 1: 201-213. doi:10.1016/S0377-0427(02)00749-5 71   2 Cited 1 times in Scopus1 0
Runqiang, B., Chen, Y., Burrage, K., Hanan, J. S., Room, P. M. and Belward, J. A. (2002). Derivation of L-system models from measurements of biological branching structures using genetic algorithms. In: T. Hendtlass and M. Ali, Developments in Applied Artificial Intelligence, Proceedings. 15th International Conference on Industrial & Engineering Applications of Artificial Intelligence & Expert Systems, IEA/AIE 2002, Cairns, Australia, (514-524). 17-20 June, 2002. 76   1
Deleyrolle, Loic P., Ericksson, Geoffery, Morrison, Brian J., Lopez, J. Alejandro, Burrage, Kevin, Burrage, Pamela, Vescovi, Angelo, Rietze, Rodney L. and Reynolds, Brent A. (2011) Determination of somatic and cancer stem cell self-renewing symmetric division rate using sphere assays. PLoS One, 6 1: e15844.1-e15844.11. doi:10.1371/journal.pone.0015844 73   19 Cited 19 times in Scopus19 1
Burrage, K. and Tian, T. (2004). Effective simulation techniques for biological systems. In: D. Abbott, S.M. Bezrukov, A. Der and A. Sanchez, Fluctuations and noise in biological, biophysical, and biomedical systems II (Proceedings of SPIE). Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems II, Maspalomas, Gran Canaria, Spain, (311-325). 26-28 May 2004. doi:10.1117/12.548672 69   0 0

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