# Browse By Person: Burrage, Pamela

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**26**.## Book Chapter

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.
139

1

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.
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.
57

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.
65

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.
106

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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.
21

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.
2

1

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.
83

71

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.
5

5

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.
15

13

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.
69

59

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.
25

22

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.
253

61

Burrage, Pamela & Burrage, Kevin
(2003)
A variable stepsize implementation for stochastic differential equations.

*SIAM Journal on Scientific Computing (SISC)*,*24*(3), pp. 848-864.
26

27

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.
48

36

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.
20

19

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.
60

57

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.
17

18

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*, pp. 161-177.
24

25

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.
11

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.
86

80

## Conference Paper

Czaplinski, Iwona, Mallet, Dann G., Burrage, Pamela, & Psaltis, Steven
(2015)
Preparing engineering graduates for the knowledge economy through blended delivery of mathematics. In

*HERDSA 2015 Conference: Learning for Life and Work in a Complex World*, 6-9 July 2015, Melbourne, Vic.
12

Burrage, Pamela, Burrage, Kevin, Kurowski, Krzysztof, Lorenc, M., Nicolau, 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*, 14 - 16 October, 2009, Italy.

Burrage, Kevin, Burrage, Pamela, Leier, Andre, & Marquez-Lago, Tatiana
(2008)
Stochastic delay models for molecular clocks and somite formation. In
Abbott, D, Aste, T, Batchelor, M, Dewar, R, Di Matteo, T, & Guttmann, T (Eds.)

*Proceedings: Complex Systems II ( SPIE 6802)*, 5- 7 December, 2007, Australia.## Working Paper

Psaltis, Steven, Farrell, Troy W., Burrage, Kevin, Burrage, Pamela, McCabe, Peter, Moroney, Timothy J., et al.
(2015)

*Mathematical modelling of gas production and compositional shift of a CSG field 1: Local model development.*[Working Paper] (Unpublished)
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