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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
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About Me
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I was a member of the Organising Committee for the ANZIAM 2024 Conference in Hahndorf, and organised the 2024 Mathematical Biology Special Interest Group (MBSIG) Workshop. Please see the official website for more information!
The interactions of microbial growth, cell death, nutrients, and fluid.
How tiny proteins enable cell division, but also increase wound inflammation.
Mathematics that underpins modelling in the natural sciences.
Helping reduce infection and facilitate scarless wound healing.
Physical chemistry and surface science for new lubricants, and solving problems with 3rd-year UniSA students for local companies.
Understanding yeasts of medical and biotechnological importance.
Uploaded to arXiv, 2023
Submitted to Stud. Appl. Math. (2023).
Recommended citation: T. Miller, A. K. Y. Tam, R. Marangell, M. Wechselberger, B. H. Bradshaw-Hajek, "Analytic shock-fronted solutions to a reaction-diffusion equation with negative diffusivity", arXiv, (2023). https://arxiv.org/abs/2309.00204
Uploaded to arXiv, 2023
Uploaded to arXiv. (2023).
Recommended citation: M. J. Simpson, N. Rahman, A. K. Y. Tam, "TBA", arXiv, (2023). https://arxiv.org/abs/2312.13601
Published in Physics of Fluids, 2015
This paper uses experimental surface wave profiles to predict topographic disturbances, using a potential flow model and the KdV equation. Published in Phys. Fluids (2015).
Recommended citation: A. Tam, Z. Yu, R. M. Kelso, and B. J. Binder, "Predicting channel bed topography in hydraulic falls", Physics of Fluids, 27 (2015). https://doi.org/10.1063/1.4935419
Published in Journal of Theoretical Biology, 2018
We propose a reaction–diffusion model for yeast biofilm growth, and show the model can explain a characteristic flower-like pattern. Published in J. Theor. Biol. (2018).
Recommended citation: A. Tam, J. E. F. Green, S. Balasuriya, E. L. Tek, J. M. Gardner, J. F. Sundstrom, V. Jiranek, and B. J. Binder, "Nutrient-limited growth with non-linear cell diffusion as a mechanism for floral pattern formation in yeast biofilms", Journal of Theoretical Biology 448 (2018). https://doi.org/10.1016/j.jtbi.2018.04.004
Published in Scientific Reports, 2018
We use agent-based and reaction—diffusion models to investigate the conditions in which cells undergo directed growth towards a nutrient source. This is an indicator of diffusion-limited growth. Published in Sci. Rep. (2018).
Recommended citation: H. Tronnolone, A. Tam, Z. Szenczi, J. E. F. Green, S. Balasuriya, E. L. Tek, J. M. Gardner, J. F. Sundstrom, V. Jiranek, S. G. Oliver, and B. J. Binder, "Diffusion-limited growth of microbial colonies", Scientific Reports 8 (2018). https://doi.org/10.1038/s41598-018-23649-z
Published in Proceedings of the Royal Society A, 2019
We derive and solve a multi-phase, thin-film fluid model for a yeast biofilm, and show that it can explain experimental expansion speed and biofilm shape. Published in Proc. Royal Soc. A (2019).
Recommended citation: A. Tam, J. E. F. Green, S. Balasuriya, E. L. Tek, J. M. Gardner, J. F. Sundstrom, V. Jiranek, and B. J. Binder, "A thin-film extensional flow model for biofilm expansion by sliding motility", Proceedings of the Royal Society A 475 (2019). https://doi.org/10.1098/rspa.2019.0175
Published in Biophysical Journal, 2021
A computational study using Julia code, showing how F-actin bending and protein friction give rise to actomyosin contraction. Published in Biophys. J. (2021).
Recommended citation: A. K. Y. Tam, A. Mogilner, and D. B. Oelz, "Protein friction and filament bending facilitate contraction of disordered actomyosin networks", Biophysical Journal, 120 (2021). https://doi.org/10.1016/j.bpj.2021.08.012
Published in Physical Review E, 2022
We derive and solve a mathematical model for biofilm growth in the lubrication regime, and compare results with extensional flow solutions. Published in Phys. Rev. E (2022).
Recommended citation: A. K. Y. Tam, B. Harding, J. E. F. Green, S. Balasuriya, B. J. Binder, "Thin-film lubrication model for biofilm expansion under strong adhesion", Physical Review E, 105, 014408 (2022). https://doi.org/10.1103/PhysRevE.105.014408
Published in Physica D, 2022
We explore a moving-boundary problem where population survival and extinction are both possible, and find the conditions for survival in 2D geometry. Published in Physica D (2022).
Recommended citation: A. K. Y. Tam, and M. J. Simpson, "The effect of geometry on survival and extinction in a moving-boundary problem motivated by the Fisher-KPP equation", Physica D, 438 (2022). https://doi.org/10.1016/j.physd.2022.133305
Published in Journal of Mathematical Biology, 2022
We derive, analyse, and solve a PDE model for two actin filaments, and show that filament bending enables net contraction. Published in J. Math. Biol. (2022).
Recommended citation: A. K. Y. Tam, A. Mogilner, and D. B. Oelz, "F-actin bending facilitates net actomyosin contraction by inhibiting expansion with plus-end-located myosin motors", Journal of Mathematical Biology, 85 (2022). https://doi.org/10.1007/s00285-022-01737-z
Published in Physica D: Nonlinear Phenomena, 2023
Advancing planar travelling waves of the Fisher-Stefan model are linearly stable. Receding waves are unstable, but short-wavelength perturbations are stabilised by surface tension. Published in Physica D (2023).
Recommended citation: A. K. Y. Tam, and M. J. Simpson, "Pattern formation and front stability for a moving-boundary model of biological invasion and recession", Physica D, 444 (2023). https://doi.org/10.1016/j.physd.2022.133593
Published in Physica D: Nonlinear Phenomena, 2023
Extends previous results for reaction—diffusion moving-boundary problems to a model for two populations. Published in Physica D (2023).
Recommended citation: M. J. Simpson, N. Rahman, S. W. McCue, and A. K. Y. Tam, "Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion", Physica D, 456 (2023). https://doi.org/10.1016/j.physd.2023.133912
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Presentation on free surface flow modelling and experiments at ANZIAM 2016.
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Presentation at ANZIAM 2017 on reaction–diffusion modelling of biofilms. I gave a similar presentation at the ANZIAM SA Mini-Meeting 2016.
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Poster used for the Stoneham Prize and Three Minute Thesis.
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Poster presentation at the Sydney Dynamics Group Workshop 2017.
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Presentation on biofilm pattern formation at the European Conference on Mathematical and Theoretical Biology, 2018. I also presented this work at ANZIAM 2018 in Hobart.
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Presentation at ANZIAM 2019 about thin-film modelling of yeast biofilms. I also presented a similar talk at the 2018 ANZIAM SA Mini-Meeting.
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A talk summarising my PhD research given as part of QUT’s ACM Seminar Series.
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This talk on actomyosin network simulations was given at the ANZIAM Conference 2020.
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I gave a talk at the MBSIG Meeting about our paper which was awarded the Best Student Paper Prize for 2020.
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This talk on actomyosin contraction was given at the ANZIAM Conference 2021.
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This talk on actomyosin contraction was given at the QANZIAM ECR Conference 2021.
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This talk on a moving-boundary problem was given at the ANZIAM Conference 2022.
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A talk summarising my postdoctoral research given as part of QUT’s ACM Seminar Series.
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Talk on front stability for a moving-boundary problem at the ANZIAM Conference 2023.
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Talk on thin-film yeast biofilm modelling at the ANZIAM Conference 2024.
Undergraduate course, University of Queensland, 2020
Third-year course at UQ on numerical analysis and Matlab programming.
Undergraduate course, The University of South Australia, 2022
First-year course at UniSA introducing mathematical concepts relevant to laboratory medicine.
Undergraduate course, The University of South Australia, 2022
Second-year course at UniSA introducing mathematical modelling using case studies.
Undergraduate course, The University of South Australia, 2023
First-year course at UniSA designed to increase mathematical confidence and ability.
Undergraduate course, The University of South Australia, 2023
Year-long group projects for third-year students with academic and industry support. Although primarily a teaching activity, Mathematics Clinic contributes to my research by helping solve new problems of relevance to our industry collaborators.
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My PhD thesis that combines experiments, image processing, reaction–diffusion modelling, and thin-film fluid mechanics to understand growth and pattern formation in yeast biofilms.
Recommended citation: A. Tam (2019), "Mathematical modelling of pattern formation in yeast biofilms", PhD Thesis. https://hdl.handle.net/2440/122613