Journal Articles:

1) M.J. Simpson, K.A. Landman and B.D. Hughes (2009) Pathlines in exclusion processes.  Physical Review E.  79, 031920.

    This paper was  selected for the April 2009 issue of the Virtual Journal of Biological Physics Research Volume 17, Issue 7. 

2) M.J. Simpson  (2009) Depth-averaging errors in reactive transport modelling.  Water Resources Research. 45, W02505.

3) M.J. Simpson, K.A. Landman and B.D. Hughes (2009) Distinguishing between directed and undirected cell motility within an invading cell population.  Bulletin of Mathematical Biology. 71: 781-799.

4) M.J. Simpson, K.A. Landman and B.D. Hughes (2009) Multi-species simple exclusion processes.   Physica A: Statistical mechanics and its applications. 388:  399-406.

5) B.J. Binder, K.A. Landman, M.J. Simpson, M Mariani and D.F. Newgreen (2008). Modeling proliferative tissue growth: A general approach and an avian case study. Physical Review E. 78, 031912

    This paper was  selected for the October 2008 issue of the Virtual Journal of Biological Physics Research Volume 16, Issue 7. 

6) K.A. Landman, M.J. Simpson and G.J. Pettet (2008) Tactically-driven nonmonotone travelling waves.  Physica D: Nonlinear phenomena.  237: 678-691.

7) M.J. Simpson and K.A. Landman (2008)  Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms.  Mathematics and Computers in Simulation. 77: 9-21.

8) M.J. Simpson (2008) Letter to the editor. Discussion of "Direct and split operator approaches with ELLAM for reactive transport equations".  AIChE Journal. 54: 588-588.

9) M.J. Simpson, A. Merrifield, K.A. Landman and B.D. Hughes (2007)  Simulating invasion with cellular automata: connecting cell-scale and population-scale properties. Physical Review E. 76, 021918.

    This paper was  selected for the September  2007 issue of the Virtual Journal of Biological Physics Research Volume 14, Issue 5. 

10) M.J. Simpson and K.A. Landman (2007) Nonmonotone chemotactic invasion: High-resolution simulations, phase plane analysis and new benchmark problems. Journal of Computational Physics. 225: 6-12.
 
11) M.J. Simpson and K.A. Landman (2007)  Analysis of split operator methods applied to reactive transport with Monod kinetics.  Advances in Water Resources. 30(9): 2026-2033.

12) M.J. Simpson, K.A. Landman and K. Bhaganagarapu (2007) Coalescence of interacting cell populations.  Journal of Theoretical Biology.  247: 525-543.

13) K.A. Landman, M.J. Simpson and D.F. Newgreen (2007)  Mathematical and experimental insights into the development of the enteric nervous system and Hirschsprung's Disease.   Development, Growth and Differentiation. 49: 277–286

14) M.J. Simpson (2007) Computing residence times for flow towards a pumping well: Nomograph solution and validity of the small draw-down assumption.  Reply to comment.  Hydrogeology Journal.  15: 431-432.

15) M.J. Simpson, D.C. Zhang, M. Mariani, K.A. Landman and D.F. Newgreen (2007) Cell proliferation drives neural crest cell invasion of the intestine.   Developmental Biology. 302:  553-568.

16) M.J. Simpson, K.A. Landman, B.D. Hughes and D.F. Newgreen (2006). Looking inside an invasion wave of cells using continuum models: Proliferation is the key.  Journal of Theoretical Biology. 243: 343-360.

17) M.J. Simpson, K.A. Landman and D.F. Newgreen (2006).  Chemotactic and diffusive migration on a non-uniformly growing domain: Numerical algorithm development and applications.  Journal of Computational and Applied Mathematics.  192(2): 282-300.

18) M.J. Simpson and K.A. Landman (2006) Characterising and minimising the operator split error for Fisher's equation. Applied Mathematics Letters.  19(7): 612-620.

19) M.J. Simpson, K.A. Landman and T.P. Clement (2005). Assessment of a non-traditional operator-split algorithm for simulation of reactive transport. Mathematics and Computers in Simulation. 70(1):  44 - 60.

20) M.J. Simpson (2005).  Computing residence times for flow towards a pumping well: Nomograph solution and validity of the small draw-down assumption.   Hydrogeology Journal.  13(5-6): 889 - 894.

21) K.A. Landman, M.J. Simpson, J.L. Slater and D.F. Newgreen (2005). Diffusive and chemotactic cellular migration: smooth and discontinuous travelling wave solutions.  SIAM Journal on Applied Mathematics. 65(4): 1420 - 1442.

22) M.J. Simpson (2004). SEAWAT-2000: Variable-density flow processes and integrated MT3DMS transport processes. Ground Water, Software Spotlight
Review. 42(5): 642 - 645.

23) M.J. Simpson and T.P. Clement (2004). Improving the worthiness of the Henry problem as a benchmark for density-dependent ground water flow problems. Water Resources Research, 40(1) W01504, doi:10.1029/2003WR002199.

24) M.J. Simpson, T.P. Clement and F.E. Yeomans (2003).  Analytical model for computing residence times near a pumping well. Ground Water, 41(3): 351 - 354.

25) M.J. Simpson, T.P. Clement and T.A. Gallop (2003). Laboratory and numerical investigation of flow and transport near a seepage-face boundary. Ground Water, 41(5): 690 – 700.

26) M.J. Simpson and T.P. Clement (2003). A theoretical analysis of the worthiness of Henry and Elder problems as benchmarks of density-dependent groundwater  flow models. Advances in Water Resources, 26(1): 17 - 31.

27) M.J. Simpson and T.P. Clement (2003). Comparison of finite difference and finite element solutions to the variably saturated flow equation. Journal of Hydrology, 270(1): 49 - 64.

Conference Articles/Presentations:

1) M.J. Simpson, K.A. Landman and B.D. Hughes.  Multi-scale models of cell motility.  ANZIAM annual meeting, Caloundra, February 2009.

1) M.J. Simpson and K.A. Landman.  Novel methods to test algorithms for solving hyperbolic conservation laws. ANZIAM annual meeting, Katoomba, February 2008

2) M.J. Simpson, K.A. Landman and B.D. Hughes.  Searching for direction: How do neural precursor cells move?  Australian Neuroscience Meeting, Hobart, January 2008.

3) M.J. Simpson, K.A. Landman and K. Bhaganagarapu.  Coalescence of interacting cell populations. ANZIAM  annual meeting, Fremantle, January 2007.

4) M.J. Simpson and K.A. Landman.  Accuracy of operator split methods for nonlinear nonequilibrium reactive transport. . ANZIAM  annual meeting, Mansfield, February 2006.

5) M.J. Simpson and K.A. Landman.  Numerical simulation of embryonic neural crest cell migration: Challenges, resolutions and insights. ANZIAM  annual meeting, Napier, February 2005.

6) M.J. Simpson and T.P. Clement.  Testing numerical models of variable density ground water flow: Current trends and the renaissance of the Henry problem.  Proceedings of the 18th Salt Water Intrusion Meeting. Cartagena, Spain, June 2004.  

7) M.J. Simpson, K.A. Landman, and J.L. Slater. Diffusive and chemotactic cellular migration: Smooth and discontinuous travelling wave solutions.  ANZIAM  annual meeting, Hobart, February 2004.

8) M.J. Simpson and T.P.Clement. Hybrid finite element solutions to variably saturated groundwater flow problems. An international conference on boundary and interior layers - computational & asymptotic methods, The University of Western Australia, July 2002.

9) M.J. Simpson and T.P. Clement. Density dependent groundwater flow modelling: An evaluation of common benchmark problems. UNESCO-IHP Workshop on Modelling in Hydrogeology. Chennai, India, December 2001

10) M.J. Simpson and T.P. Clement. Implications of Dupuit-Forchheimer approximations upon solute transport. Geo-Environment Conference, Newcastle, Australia, November 2001

Poster Presentations:

1) M.J. Simpson, K.A. Landman and D.F. Newgreen. Measuring and modelling embryonic gut growth in order to understand neural crest cell migration. ComBio2004. Perth, September 2004.

2) M.J. Simpson, T.P. Clement and F.E. Yeomans. An analytical model for computing ground water residence times near a pumping well.  AGU Fall Meeting. San Francisco, December 2002.