NABIL T. FADAI
NABIL FADAI
A LITTLE ABOUT ME
I am an assistant professor in mathematical biology within the School of Mathematical Sciences at the University of Nottingham. I am interested in many topics arising in mathematical biology and ecology, including (but not limited to): stochastic agent-based models, applications to the social sciences, travelling waves arising from reaction-diffusion models, pattern formation models, and delay differential equations. Asymptotic analysis frequently arises in the majority of these research areas as well.
Prior to working at Nottingham, I was a postdoctoral researcher under the supervision of Prof. Mat Simpson at the Queensland University of Technology, focusing on agent-based models with applications to cell biology. Before my postdoc, I did my DPhil (PhD) in the Industrially Focused Mathematical Modelling (InFoMM) program at the University of Oxford’s Mathematical Institute. My thesis, "Multiphase Modelling of Coffee Bean Roasting", was supervised by Prof. Colin Please and Dr. Robert Van Gorder, along with industrial support by Jacobs Douwe Egberts. My DPhil research mainly focused on systems of nonlinear partial differential equations, asymptotic analysis, and food engineering.
PUBLICATIONS
Similar information can also be found on my Google Scholar profile, though sometimes incomplete or inaccurate. If you are interested in collaborating with me on any of these topics (or closely related fields), please feel free to contact me.
TRAVELLING WAVES IN REACTION-DIFFUSION MODELS
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S. Dari, N. T. Fadai, R. D. O'Dea. Modelling the effect of matrix metalloproteinases in dermal wound healing. Submitted to Bulletin of Mathematical Biology 24/5/2023.
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N. T. Fadai. Exact smooth and sharp-fronted travelling waves of reaction-diffusion equations with Weak Allee effects. Applied Mathematics Letters 135 (2023), 108433.
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N. T. Fadai, J. Billingham. Non-local effects on travelling waves arising in a moving-boundary reaction-diffusion model. Journal of Physics A 55 (2022), 405701.
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J. M. Jepson, N. T. Fadai, R. D. O'Dea. Travelling wave and asymptotic analysis of a multiphase moving boundary model for engineered tissue growth. Bulletin of Mathematical Biology 84 (2022), 87.
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N. T. Fadai. Semi-infinite travelling waves arising in a general reaction-diffusion Stefan model. Nonlinearity 34 (2021), pp. 725-743.
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N. T. Fadai, M. J. Simpson. New travelling wave solutions of the Porous-Fisher model with a moving boundary. Journal of Physics A 53 (2020), 095601.
PATTERN FORMATION MODELS
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J. M. Jepson, R. D. O’Dea, J. Billingham, N. T. Fadai. Pattern formation and travelling waves in a multiphase moving boundary model of tumour growth. Under revision, Mathematical Medicine & Biology.
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A. L. Krause, A. Burton, N. T. Fadai, R. A. Van Gorder. Emergent Structures due to Advection on Spherical Reaction-Diffusion Problems. Physical Review E 97 (2018), 042215.
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N. T. Fadai, M. J. Ward, J. Wei. A Time-Delay in the Activator Kinetics Enhances the Stability of a Spike Solution to the Gierer-Meinhardt Model. Discrete and Continuous Dynamical Systems Series B 23 (2018), pp. 1431-1458.
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N. T. Fadai, M. J. Ward, J. Wei. Delayed Reaction-Kinetics and the Stability of Spikes in the Gierer-Meinhardt Model. SIAM Journal on Applied Mathematics 77 (2017), pp. 664-696.
AGENT-BASED MODELLING
A.J. Clements, N. T. Fadai. Agent-based modelling of sports riots. Physica A 597 (2022), 127279.
N. T. Fadai, S. T. Johnston, M. J. Simpson. Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics. Proceedings of the Royal Society 476 (2020), 20200350.
N. T. Fadai, M. J. Simpson. Population dynamics with threshold effects give rise to a diverse family of Allee effects. Bulletin of Mathematical Biology 82 (2020), 74.
N. T. Fadai, R. E. Baker, M. J. Simpson. Accurate and efficient discretizations for stochastic models providing near agent-based spatial resolution at low computational cost. Journal of the Royal Society Interface 16 (2019), 20190421.
MATHEMATICAL MODELLING OFÂ COVID-19
N. T. Fadai, R. Sachak-Patwa, H. M. Byrne, P. K. Maini, M. Bafadhel, and D. V. Nicolau Jr. Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19. Journal of the Royal Society Interface 18 (2021), 20200950.
S. Ramakrishnan, D. V. Nicolau Jr, ... N. T. Fadai, ..., M. Bafadhel. Inhaled budesonide in the treatment of early COVID-19 (STOIC): a phase 2, open-label, randomised controlled trial. The Lancet Respiratory Medicine (2021), 2213-2600.
DYNAMICAL SYSTEMS IN
SOCIAL SCIENCESÂ AND ECOLOGY
R. Sachak-Patwa, N. T. Fadai, R. A. Van Gorder. Modelling multi-group dynamics of related viral videos with delay differential equations. Physica A 521 (2019), pp. 197-217.
R. M. Eide, A. L. Krause, N. T. Fadai, R. A. Van Gorder. Predator-prey-subsidy population dynamics on stepping-stone domains with dispersal delays. Journal of Theoretical Biology 451 (2018), pp. 19-34.
R. Sachak-Patwa, N. T. Fadai, R. A. Van Gorder. Understanding viral video dynamics through an epidemic modelling approach. Physica A 502 (2018), pp. 416-435.
MATHEMATICAL MODELLING OF
COFFEE ROASTING
R. Sachak-Patwa, N. T. Fadai, R. A. Van Gorder. A Homogenisation Approach for the Roasting of an Array of Coffee Beans. SIAM Journal on Applied Mathematics 79 (2019), pp.1550-1580.
N. T. Fadai, C. P. Please, R. A. Van Gorder. Modelling Structural Deformations in a Roasting Coffee Bean. International Journal of Non-Linear Mechanics 110 (2019), pp. 123-130.
N. T. Fadai, Z. Akram, F. Guilmineau, J. Melrose, C. P. Please, R. A. Van Gorder. The Influence of Distributed Chemical Reaction Groups in a Multiphase Coffee Bean Roasting Model. IMA Journal of Applied Mathematics 83 (2018), pp. 821-848.
N. T. Fadai, C. P. Please, R. A. Van Gorder. Asymptotic Analysis of a Multiphase Drying Model Motivated by Coffee Bean Roasting. SIAM Journal on Applied Mathematics 78 (2018), pp. 418-436.
N. T. Fadai, J. Melrose, C. P. Please, A. Schulman, R. A. Van Gorder. A Heat and Mass Transfer Study of Coffee Bean Roasting. International Journal of Heat and Mass Transfer 104 (2017), pp. 787-799.
RESEARCH STUDENTS
I am passionate about excellence in mathematics education, both in teaching and supervising roles. Nottingham students, particularly women and under-represented minorities, are welcome to contact me for potential research projects.
MMATH UNDERGRADUATE DISSERTATION SUPERVISIONS
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Naomi Bedeau, Co-existence, cycles, and chaos in generalised Lotka-Volterra models (2022-2023)
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Ash Shaw, Modelling the spread of memes and viral content using epidemiology models (2021-2022)
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Zoe Li, Will a decreasing population rebound? Robustness and stability of pairwise interacting systems with parameter uncertainty (2021-2022)
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Kate Berry, Panic! at the Tesco: Understanding Supermarket Panic-Buying Using Agent-Based Models (2020-2021)
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Jonathan Felfoldi, Modelling Irreversible Skin Damage From Hot Liquid Burns in Living Heterogeneous Tissues (2020-2021)
MSC THESIS SUPERVISIONS
Becky Chand, Calibrating and Validating Mathematical Models with Biological Data (Summer 2021)
Alastair Clements, Mathematical Modelling of Sports Riots (Summer 2020)
Ragna M. Eide, Predator-Prey-Subsidy Dynamics on Networks with Temporal and Spatial Obstructions (Summer 2017, Oxford; co-supervised with R. A. Van Gorder and A. L. Krause)
Conor McMeel, Applause Dynamics in Crowds (Summer 2017, Oxford; co-supervised with R. A. Van Gorder)
Rahil Sachak-Patwa, Population Dynamics and Viral Videos (Summer 2017, Oxford; co-supervised with R. A. Van Gorder)
PHD RESEARCH STUDENT SUPERVISIONS
Tayla Broadbridge, Modelling and Quantification of Food Deserts (2021-present; Nottingham/Adelaide Joint PhD Project; co-supervised with S. Preston, E. Green, and J. Maclean)
Sonia Dari, Mathematical modelling of enzyme inhibitors in wound-healing hydrogels (2021-present; co-supervised with R. D. O'Dea)
Jacob Jepson, Multiphase modelling of engineered tissue and solid tumour growth (2019-present; co-supervised with J. Billingham and R. D. O'Dea)
Rahil Sachak-Patwa, Heat and Mass Transfer in a Collective of Roasting Coffee Beans (Summer 2018, Oxford InFoMM doctoral internship; co-supervised with R. A. Van Gorder)
PRESENTATIONS AND PUBLIC ARTICLES
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Semi-infinite travelling waves arising in moving-boundary reaction-diffusion equations
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Invited talk: Mathematics in Life Sciences Symposium (University of Nottingham), April 2023; CUNY Graduate Center (New York City NY, USA), April 2023; Durham University (virtual), November 2021; University of Warwick, October 2021; University of Melbourne (virtual), September 2021.
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Presented at: BAMC 2023 (University of West England), April 2023; CAIMS Annual Meeting (Kelowna BC, Canada), June 2022; Dynamics Days Digital conference (virtual), August 2020.
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Stochastic agent-based models in mathematical biology. University of Nottingham Research and Knowledge Exchange Day, April 2022.
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Agent-based models in biological systems. University of St. Andrews (virtual), April 2021.
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Infection, Inflammation, and Intervention: mechanistic modelling of epithelial cells in COVID-19. University of Oxford Centre for Mathematical Biology (virtual), November 2020.
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Unpacking the Allee effect: determining individual-level mechanisms that drive global populations. SIAM/CAIMS Virtual Annual Meeting, July 2020; ANZIAM conference (Hunter Valley, Australia), February 2020; QANZIAM postdoctoral conference (Brisbane, Australia), October 2019.
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An accurate and efficient discretisation for stochastic models of cell migration and cell proliferation with crowding. ICIAM congress (Valencia, Spain), July 2019; ANZIAM conference (Nelson, New Zealand), January 2019.
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Modelling Structural Deformations in a Roasting Coffee Bean. ICIAM Congress (Valencia, Spain), July 2019; InFoMM Annual Meeting (University of Oxford), March 2018.
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Multiphase Modelling of Coffee Bean Roasting. Applied and Computational Mathematics Seminar (QUT), September 2018.
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Modelling Roasting Coffee Beans using Mathematics: Now Full-Bodied and Robust. Oxford University Press Blog (2018), https://blog.oup.com/2018/08/modelling-roasting-coffee-beans-using-mathematics.
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Coffee Roasting, Mathematical Modelling, and Asymptotic Analysis. SIAM News Blog (2017), https://sinews.siam.org/Details-Page/coffee-roasting-mathematical-modelling-and-asymptotic-analysis.
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Asymptotic Analysis of a Multiphase Drying Model Motivated by Coffee Bean Roasting
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Invited talk: University of New South Wales, February 2018; University of Limerick, November 2017.
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Presented at: ANZIAM Conference (Hobart, Australia), February 2018; CAIMS Annual Meeting (Halifax NS, Canada), July 2017; SIAM Annual Meeting (Pittsburgh PA, USA), July 2017; BAMC Lighthill-Thwaites Competition (University of Surrey), April 2017; Industrial and Applied Mathematics Seminar, (University of Oxford), October 2016.
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Modelling The Roasting of a Single Coffee Bean. Junior Applied Mathematics Seminar series (University of Oxford), May 2016.
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The Roasting of a Single Coffee Bean. Poster presented at BAMC (University of Oxford), April 2016.
CONTACT ME
School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, UK
NG7 2RD