# Associate Professor Benjamin Binder

I was awarded my PhD in Applied Mathematics from the University of East Anglia, UK, 2005. The research involved numerical and analytical studies on non-linear free-surface flows. Shortly after completing my PhD I accepted a Research Associate position at the University of Adelaide, researching the chaotic dynamical systems approach to fluid mixing and its application to designing mixing devices. I briefly left Adelaide in 2007, joining the University of Melbourne as a Research Fellow. There I developed both discrete and continuous mathematical models for the neural crest cell invasion in the embryonic gut. I returned to the University of Adelaide in 2009, having been appointed a continuing position as a Lecturer in Applied Mathematics. My current research includes (i) quantifying and modelling biological spatial patterns and (ii) predicting channel bed topography in free-surface flows.

## Appointments

Date | Position | Institution name |
---|---|---|

2017 | Associate Professor in Applied Mathematics | The University of Adelaide |

2014 - 2016 | Senior Lecturer in Applied Mathematics | The University of Adelaide |

2009 - 2013 | Lecturer in Applied Mathematics | The University of Adelaide |

2007 - 2008 | Postdoctoral Research Fellow | University of Melbourne |

2005 - 2006 | Postdoctoral Research Associate | The University of Adelaide |

2000 - 2002 | Actuarial Analyst | AVIVA |

## Education

Date | Institution name | Country | Title |
---|---|---|---|

2002 - 2005 | University of East Anglia | England | PhD Mathematics |

1997 - 2000 | University of East Anglia | England | BSc Hons Mathematics |

## Research Interests

## Journals

Year | Citation |
---|---|

2017 | Tronnolone, H., Gardner, J., Sundstrom, J., Jiranek, V., Oliver, S. & Binder, B. (2017). Quantifying the dominant growth mechanisms of dimorphic yeast using a lattice-based model. Journal of the Royal Society Interface, 14, 134, 20170314-1-20170314-16. 10.1098/rsif.2017.0314 |

2017 | Newgreen, D., Zhang, D., Cheeseman, B., Binder, B. & Landman, K. (2017). Differential clonal expansion in an invading cell population: clonal advantage or dumb luck?. Cells Tissues Organs, 203, 2, 105-113. 10.1159/000452793 |

2017 | Keeler, J., Binder, B. & Blyth, M. (2017). On the critical free-surface over localised topography. JOURNAL OF FLUID MECHANICS, 832, 73-96. 10.1017/jfm.2017.639 |

2017 | Wade, S., Binder, B., Mattner, T. & Denier, J. (2017). Steep waves in free-surface flow past narrow topography. Physics of Fluids, 29, 6, -. 10.1063/1.4986262 |

2016 | Cui, X., Dini, S., Dai, S., Bi, J., Binder, B., Green, J. & Zhang, H. (2016). A mechanistic study on tumour spheroids formation in thermosensitive hydrogels: experiments and mathematical modelling. RSC Advances, 6, 77, 73282-73291. 10.1039/C6RA11699J |

2016 | Dini, S., Binder, B., Fischer, S., Mattheyer, C., Schmitz, A., Stelzer, E. ... Green, J. (2016). Identifying the necrotic zone boundary in tumour spheroids with pair-correlation functions. Journal of the Royal Society Interface, 13, 123, 20160649-1-20160649-11. 10.1098/rsif.2016.0649 |

2016 | Binder, B. J. & Simpson, M. J. (2016). Cell density and cell size dynamics during in vitro tissue growth experiments: implications for mathematical models of collective cell behaviour. Applied Mathematical Modelling, 40, 4, 3438-3446. 10.1016/j.apm.2015.01.016 |

2016 | Johnston, S., Ross, J., Binder, B., Sean McElwain, D., Haridas, P. & Simpson, M. (2016). Quantifying the effect of experimental design choices for in vitro scratch assays. Journal of Theoretical Biology, 400, 19-31. 10.1016/j.jtbi.2016.04.012 |

2015 | Binder, B., Blyth, M. & Balasuriya, S. (2015). Steady free-surface flow over spatially periodic topography. Journal of Fluid Mechanics, 781, R3-1-R3-14. 10.1017/jfm.2015.507 |

2015 | Tam, A., Yu, Z., Kelso, R. & Binder, B. (2015). Predicting channel bed topography in hydraulic falls. Physics of Fluids, 27, 11, 112106-1-112106-7. 10.1063/1.4935419 |

2015 | Binder, B., Sundstrom, J., Gardner, J., Jiranek, V. & Oliver, S. (2015). Quantifying two-dimensional filamentous and invasive growth spatial patterns in yeast colonies. D. Lauffenburger (Ed.). PLoS Computational Biology, 11, 2, e1004070-1-e1004070-15. 10.1371/journal.pcbi.1004070 |

2015 | Binder, B. & Simpson, M. (2015). Spectral analysis of pair-correlation bandwidth: application to cell biology images. Royal Society Open Science, 2, 2, 140494-1-140494-15. 10.1098/rsos.140494 |

2015 | Binder, B., Landman, K., Newgreen, D. & Ross, J. (2015). Incomplete penetrance: the role of stochasticity in developmental cell colonization. Journal of Theoretical Biology, 380, 309-314. 10.1016/j.jtbi.2015.05.028 |

2014 | Agnew, D., Green, J., Brown, T., Simpson, M. & Binder, B. (2014). Distinguishing between mechanisms of cell aggregation using pair-correlation functions. Journal of Theoretical Biology, 352, 16-23. 10.1016/j.jtbi.2014.02.033 |

2014 | Balasuriya, S. & Binder, B. J. (2014). Nonautonomous analysis of steady Korteweg-de Vries waves under nonlocalised forcing. Physica D: Nonlinear Phenomena, 285, 28-41. 10.1016/j.physd.2014.07.001 |

2014 | Johnston, S., Simpson, M., McElwain, D., Binder, B. & Ross, J. (2014). Interpreting scratch assays using pair density dynamics and approximate Bayesian computation. Open Biology, 4, 9, 140097-1-140097-9. 10.1098/rsob.140097 |

2014 | Binder, B., Blyth, M. & Balasuriya, S. (2014). Non-uniqueness of steady free-surface flow at critical Froude number. EPL, 105, 4, 44003-1-44003-6. 10.1209/0295-5075/105/44003 |

2014 | Wade, S., Binder, B., Mattner, T. & Denier, J. (2014). On the free-surface flow of very steep forced solitary waves. Journal of Fluid Mechanics, 739, 1-21. 10.1017/jfm.2013.590 |

2014 | Landman, K. A., Binder, B. J. & Newgreen, D. F. (2014). Modeling development and disease in the enteric nervous system. Journal of Cellular Automata, 9, 2-3, 95-109. |

2014 | Treloar, K., Simpson, M., Binder, B., McElwain, D. & Baker, R. (2014). Assessing the role of spatial correlations during collective cell spreading. Science Reports, 4, 1, 5713-1-5713-8. 10.1038/srep05713 |

2014 | Cheeseman, B., Zhang, D., Binder, B., Newgreen, D. & Landman, K. (2014). Cell lineage tracing in the developing enteric nervous system: superstars revealed by experiment and simulation. Journal of the Royal Society. Interface, 11, 93, 20130815-1-20130815-14. 10.1098/rsif.2013.0815 |

2014 | Davies, K., Green, J., Bean, N., Binder, B. & Ross, J. (2014). On the derivation of approximations to cellular automata models and the assumption of independence. Mathematical Biosciences, 253, 1, 63-71. 10.1016/j.mbs.2014.04.004 |

2014 | Ross, J. & Binder, B. (2014). Approximating spatially exclusive invasion processes. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 89, 5, 052709-1-052709-7. 10.1103/PhysRevE.89.052709 |

2013 | Simpson, M., Treloar, K., Binder, B., Haridas, P., Manton, K., Leavesley, D. ... Baker, R. (2013). Quantifying the roles of cell motility and cell proliferation in a circular barrier assay. Journal of the Royal Society. Interface, 10, 82, 1-11. 10.1098/rsif.2013.0007 |

2013 | Binder, B., Blyth, M. & McCue, S. (2013). Free-surface flow past arbitrary topography and an inverse approach for wave-free solutions. IMA Journal of Applied Mathematics, 78, 4, 685-696. 10.1093/imamat/hxt015 |

2013 | Simpson, M., Binder, B., Haridas, P., Wood, B., Treloar, K., McElwain, D. & Baker, R. (2013). Experimental and modelling investigation of monolayer development with clustering. Bulletin of Mathematical Biology, 75, 5, 871-889. 10.1007/s11538-013-9839-0 |

2013 | Binder, B. & Simpson, M. (2013). Quantifying spatial structure in experimental observations and agent-based simulations using pair-correlation functions. Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 88, 2, 1-10. 10.1103/PhysRevE.88.022705 |

2012 | Binder, B., Landman, K., Newgreen, D., Simkin, J., Takahashi, Y. & Zhang, D. (2012). Spatial analysis of multi-species exclusion processes: Application to neural crest cell migration in the embryonic gut. Bulletin of Mathematical Biology, 74, 2, 474-490. 10.1007/s11538-011-9703-z |

2012 | HackettJones, E., Davies, K., Binder, B. & Landman, K. (2012). Generalized index for spatial data sets as a measure of complete spatial randomness. Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 85, 6, 1-9. 10.1103/PhysRevE.85.061908 |

2012 | Lustri, C., McCue, S. & Binder, B. (2012). Free surface flow past topography: A beyond-all-orders approach. European Journal of Applied Mathematics, 23, 4, 441-467. 10.1017/S0956792512000022 |

2012 | Binder, B. & Blyth, M. (2012). Electrified free-surface flow of an inviscid liquid past topography. Physics of Fluids, 24, 10, 1-17. 10.1063/1.4758812 |

2012 | Binder, B., HackettJones, E., Tuke, S. & Landman, K. (2012). A modified Pólya urn process and an index for spatial distributions with volume exclusion. The ANZIAM Journal, 53, 2, 122-133. 10.1017/S1446181112000089 |

2012 | Binder, B., Ross, J. & Simpson, M. (2012). A hybrid model for studying spatial aspects of infectious diseases. The ANZIAM Journal, 54, 1-2, 37-49. 10.1017/S1446181112000296 |

2011 | Binder, B. & Vanden-Broeck, J. (2011). Hybrid free-surface flows in a two-dimensional channel. Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 84, 1, 016302-1-016302-10. 10.1103/PhysRevE.84.016302 |

2011 | Ogilat, O., McCue, S., Turner, I., Belward, J. & Binder, B. (2011). Minimising wave drag for free surface flow past a two-dimensional stern. Physics of Fluids, 23, 7, 072101-1-072101-11. 10.1063/1.3609284 |

2011 | Binder, B. & Landman, K. (2011). Quantifying evenly distributed states in exclusion and nonexclusion processes. Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 83, 4, 041914-1-041914-9. 10.1103/PhysRevE.83.041914 |

2010 | Binder, B. (2010). Steady free-surface flow at the stern of a ship. Physics of Fluids, 22, 1, 012104-1-012104-5. 10.1063/1.3275847 |

2010 | Zhang, D., Brinas, I., Binder, B., Landman, K. & Newgreen, D. (2010). Neural crest regionalisation for enteric nervous system formation: Implications for Hirschsprung's disease and stem cell therapy. Developmental Biology, 339, 2, 280-294. 10.1016/j.ydbio.2009.12.014 |

2010 | Binder, B. (2010). Ghost rods adopting the role of withdrawn baffles in batch mixer designs. Physics Letters A, 374, 34, 3483-3486. 10.1016/j.physleta.2010.06.039 |

2009 | Newgreen, D., Zhang, D., Binder, B., Simpson, M., Landman, K., Enomoto, H. & Young, H. (2009). Social controls of migration and proliferation of neural crest-derived cells in the gut. Neurogastroenterology and Motility, 21, 2, 223-223. 10.1111/j.1365-2982.2008.01253.x |

2009 | Binder, B. & Landman, K. (2009). Tissue growth and the Pólya distribution. Australasian Journal of Engineering Education, 15, 2, 35-41. |

2009 | Binder, B. (2009). A non-linear dynamical system: flow past a sluice gate. Australasian Journal of Engineering Education, 15, 2, 27-34. |

2009 | Binder, B. & Landman, K. (2009). Exclusion processes on a growing domain. Journal of Theoretical Biology, 259, 3, 541-551. 10.1016/j.jtbi.2009.04.025 |

2009 | Binder, B., Vanden-Broeck, J. & Dias, F. (2009). On satisfying the radiation condition in free-surface flows. Journal of Fluid Mechanics, 624, 179-189. 10.1017/S0022112008005028 |

2008 | Binder, B., Dias, F. & Vanden-Broeck, J. (2008). Influence of rapid changes in a channel bottom on free-surface flows. IMA Journal of Applied Mathematics, 73, 1, 254-273. 10.1093/imamat/hxm049 |

2008 | Binder, B., Landman, K., Simpson, M., Mariani, M. & Newgreen, D. (2008). Modeling proliferative tissue growth: a general approach and an avian case study. Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 78, 3, 031912-1-031912-13. 10.1103/PhysRevE.78.031912 |

2008 | Binder, B. & Cox, S. (2008). A mixer design for the pigtail braid. Fluid Dynamics Research, 40, 1, 34-44. 10.1016/j.fluiddyn.2006.09.001 |

2007 | Binder, B. & Vanden-Broeck, J. (2007). The effect of disturbances on the flows under a sluice gate and past an inclined plate. Journal of Fluid Mechanics, 576, 475-490. 10.1017/S0022112007004806 |

2006 | Binder, B., Dias, F. & Vanden-Broeck, J. (2006). Steady free-surface flow past an uneven channel bottom. Theoretical and Computational Fluid Dynamics, 20, 3, 125-144. 10.1007/s00162-006-0017-y |

2005 | Binder, B. & Vanden-Broeck, J. (2005). Free surface flows past surfboards and sluice gates. European Journal of Applied Mathematics, 16, 5, 601-619. 10.1017/S0956792505006443 |

2005 | Binder, B., Vanden-Broeck, J. & Dias, F. (2005). Forced solitary waves and fronts past submerged obstacles. Chaos, 15, 3, 37106-1-37106-13. 10.1063/1.1992407 |

## Conference Papers

Year | Citation |
---|---|

2012 | Landman, K., Binder, B. & Newgreen, D. (2012). Modeling development and disease in our "second" brain. International Conference on Cellular Automata for Research and Industry (ACRI). Santorini. 10.1007/978-3-642-33350-7_42 |