UC SPARK - University of Canterbury - New Zealand

Dr Phillip Lawrence Wilson

Mathematics and Statistics

Fields of Research

  • Fluid mechanics
  • Biomathematics
  • Modelling biological and medical processes
  • Modelling industrial processes
  • Mathematics education

Researcher Summary

Pure mathematicians study patterns in ideas which typically arise from other ideas; I'm not a pure mathematician. Statisticians study patterns in data; I'm not a statistician. Applied mathematicians of type 'E' use mathematical tools to study the world around them; I am not an applied mathematician of type 'E'. Applied mathematicians of type 'M' discover interesting mathematics lurking in the real world around them; I call myself an applied mathematician of type 'M'.

A very general theme in what I like to do is the idea of "seeing differently" as well as "seeing further". For example, treating biological questions mathematically still retains a whiff of heresy, as does thinking seriously about the artistic and aesthetic qualities of mathematical knowledge.

Subject Area: Disciplines

Research Groups

Key Methodologies

  • Asymptotic analysis
  • Numerical methods
  • Mathematical Modelling
  • Dimensional analysis
  • Solution of differential equations
  • Thinking
  • Reading
  • Talking with clever, hard-working, deep-thinking people

Affiliations

Research/Scholarly/Creative Works

Journal Articles
  • Chang JC., Brennan KC., He D., Huang H., Miura RM., Wilson PL. and Wylie JJ. (2013) A mathematical model of the metabolic and perfusion effects on cortical spreading depression. PLoS ONE 8(8) e70469 http://dx.doi.org/10.1371/journal.pone.0070469.
  • Smith FT. and Wilson PL. (2011) Fluid-body interactions: Clashing, skimming, bouncing. Philosophical Transactions of the Royal Society A 369(1947): 3007-3024. http://dx.doi.org/10.1098/rsta.2011.0092.
  • Wilson PL. and Meyer J. (2010) A spring-dashpot system for modelling lung tumour motion in radiotherapy. Computational and Mathematical Methods in Medicine 11(1): 13-26. http://dx.doi.org/10.1080/17486700802616534.
  • Wilson PL., Huang H. and Takagi S. (2009) Hydrophobic effect in a continuum model of the lipid bilayer. Communications in Computational Physics 6(3): 655-672.
  • Wilson PL. and Smith FT. (2005) A three-dimensional pipe flow adjusts smoothly to the onset of a bend. Physics of Fluids 17: 48102. http://pof.aip.org/.
  • Wilson PL. and Smith FT. (2005) Compressible swirling flow through a significantly bent duct. Computers & Fluids 34(8): 891-926.
  • Pancholy PP., Clemens K., Geoghegan P., Jermy M., Moyers-Gonzalez M. and Wilson PL. (1900) Numerical Study of Flow and Pedestrian Level Wind Comfort Inside Uniform and Non-Uniform Street Canyons with Different Street Width to Building Height Aspect Ratios.
Chapters
  • Wilson PL. (2018) What the applicability of mathematics says about its philosophy. In Hansson SO (Ed.), Technology and mathematics – Philosophical and historical investigationsSpringer.
  • Wilson P. (2014) The philosophy of applied mathematics. In Parc S (Ed.), 50 Visions of Mathematics: 176-179. Oxford: Oxford University Press.
Conference Contributions - Published
  • Fee CJ., Newberry F., Gordon A., Wilson PL., Moyers-Gonzalez M., Murray R., Huber T. and Dimartino S. (2016) 3D-printed chromatography columns for downstream capture of proteins in the presence of suspended cells. Phuket, Thailand: 2nd Bioprocess Asia Conference, 5-8 Dec 2016.
  • Pancholy PP., Clemens K., Geoghegan P., Jermy M., Moyers-Gonzalez M. and Wilson PL. (2016) Numerical study of flow pattern and pedestrian level wind comfort inside a uniform street canyon at different angles of attack. Perth, Australia: 20th Australasian Fluid Mechanics Conference (AFMC), 5-8 Dec 2016. In http://people.eng.unimelb.edu.au/imarusic/proceedings/20%20AFMC%20TOC.htm: 4.
  • Sweid M., Moyers-Gonzalez M., Wilson PL., Castelain C. and Burghelea T. (2013) On the Landau-Levich problem for a viscoplastic fluid. Bordeaux, France: 21st French Mechanical Congress (CFM) 2013, 26-30 Aug 2013.
  • Wilson PL. and Meyer J. (2010) A general model of lung tumour motion. London, UK: European Consortium for Mathematics in Industry (ECMI 2008), 30 Jun-4 Jul 2008. In Progress in Industrial Mathematics at ECMI 2008, Mathematics in Industry 15(3): 1061-1066. http://dx.doi.org/10.1007/978-3-642-12110-4_168.
  • Wilson PL., Takagi S. and Huang H. (2010) The lipid bilayer at the mesoscale: A physical continuum model. London, UK: European Consortium for Mathematics in Industry (ECMI 2008), 30 Jun-4 Jul 2008. In Progress in Industrial Mathematics at ECMI 2008: Mathematics in Industry 15(3): 1067-1072. http://dx.doi.org/10.1007/978-3-642-12110-4_169.
Conference Contributions - Other
  • Pancholy PP., Clemens K., Geoghegan P., Jermy M., Moyers Gonzalez M. and Wilson PL. (2017) Numerical Study of Flow Pattern and Pedestrian Level Wind Comfort Inside a Uniform Street Canyon at Different Angles of Attack. Christchurch, New Zealand: Fluids in New Zealand 2017, 9-10 Feb 2017
  • Fee CJ., Newberry F., Gordon A., Wilson P., Moyers-Gonzales M., Murray R., Huber T. and Dimartino S. (2016) Optimization of porous bed geometric features to maximize adsorption of proteins and passage of suspended solids in a 3D-printed adsorption column. Philadelphia, PA, USA: PREP Symposium 2016, 18-21 Jul 2016
  • Froyland G., De Jong J., Moyers-Gonzales M., Murray M., Roberts B. and Wilson PL. (2016) Vortices in a street canyon. Orlando, FL, USA: The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 1-5 Jul 2016
  • Pancholy P., Wilson P., Moyers-Gonzalez M., Jermy M. and Geoghegan P. (2016) Street canyon and comfort criteria. Auckland, New Zealand: Fluids in New Zealand, 26-27 Jan 2016
  • Williams GT., Wilson TM., Newberry F., Hill D., Wilson PL. and Moyers Gonzalez M. (2016) Mitigating Volcanic Ash Ingestion to Diesel Generators. Puerto Varas, Chile: Cities on Volcanoes 9, 20-25 Nov 2016
  • Wilson PL., Pancholy PP., Geoghegan P., Jermy MC. and Moyers-Gonzalez M. (2016) When the wind blows: a numerical study of wind flow and pedestrian comfort in urban street canyons. Wellington, New Zealand: New Zealand Mathematical Society Colloquium, 5-8 Dec 2016
  • Pancholy P., Wilson P., Moyers-Gonzalez M., Jermy M. and Geoghegan P. (2015) Street Canyon and Comfort Criteria. University of Canterbury, Christchurch, New Zealand: New Zealand Mathematical Society Colloquium (NZMS), 1-3 Dec 2015
  • Wilson PL. and Smith FT. (2014) Body rocking or lift off in flow. Auckland, New Zealand: Fluids in New Zealand 2014 (FiNZ), 29-31 Jan 2014
  • Moyers-Gonzalez M., Wilson PL., Sweid M., Castelain C. and Burghelea T. (2013) On the Landau-Levich problem for a viscoplastic fluid. Paris, France: Viscoplastic fluids: from theory to application, 18-21 Nov 2013
  • Poumaere A., Sweid M., Moyers-Gonzalez M., Wilson PL., Sainudiin R., Castelain C. and Burghelea T. (2013) Why do simple flows of Carbopol gels remain elusive? Nantes, France: 48eme Congres du Groupe Francais de Rheologie (GFR), 28-30 Oct 2013
  • Wilson PL. and Smith FT. (2013) When does a rocking body lift off from Mars? Tauranga, New Zealand: New Zealand Mathematical Society Colloquium (NZMS), 3-5 Dec 2013
  • Brennan KC., Chang J., Chou T., He D., Huang H., Miura R., Wilson P. and Wylie JJ. (2012) Neurovascular Coupling During Cortical Spreading Depression: A Mathematical Model. San Diego, CA, USA: Society for Industrial and Applied Mathematics (S.I.A.M.) Conference on the Life Sciences, 7-10 Aug 2012
  • Brennan KC., Chang JC., Chou T., He D., Huang H., Miura RM., Wilson PL. and Wylie JJ. (2012) Neurovascular Coupling During Cortical Spreading Depression: A Mathematical Model. Toronto, Canada: Canadian Applied and Industrial Mathematics Annual Meeting CAIMS 2012, 24-28 Jun 2012
  • Chang JC., Chou T., He D., Huang H., Miura RM., Wilson PL., Wylie J. and Brennan KC. (2012) Interconnected Neural, Vascular, and Metabolic Dysfunction during Cortical Spreading Depression: A Mathematical Model. Los Angeles, CA, USA: 54th Annual Scientific Meeting of the American Headache Society, 21-24 Jun 2012
  • Cavan A., Wilson P., Berbeco R. and Meyer J. (2010) A viscoelastic model of the correlation between respiratory lung tumour motion and an external abdominal signal. Melbourne, Australia: Engineering and Physical Sciences in Medicine and the Australian Biomedical Engineering Conference (EPSM ABEC 2010), 5-9 Dec 2010
  • Cavan AE., Wilson PL. and Meyer J. (2010) A viscoelastic model of respiratory lung tumour motion. Christchurch, New Zealand: Health Research Society of Canterbury Seminar Series, 22-22 Apr 2010
  • Wilson P. and Smith F. (2009) Development of the Turbulent Flow in a Bent Pipe. Minneapolis, MN, USA: 62nd Annual Meeting of the APS Division of Fluid Dynamics, 22-24 Nov 2009
  • Meyer J. and Wilson PL. (2008) A three-dimensional spring-dashpot system to model the correlation between abdominal and lung tumour motion. Christchurch, New Zealand: Engineering and Physical Sciences in Medicine and the Australian Biomedical Engineering Conference (EPSM ABEC 2008), 16-20 Nov 2008
  • Wilson PL., Huang H. and Takagi S. (2008) The lipid bilayer at the mesoscale: A physical continuum model. London, UK: The European Consortium for Mathematics in Industry (ECMI 2008), 30 Jun-4 Jul 2008
  • Meyer J., Lenz K., Wilson PL., Wilbert J., Guckenberger M., Richter A. and Baier K. (2007) Modelling tumour trajectories as a function of respiratory motion. Perth, Australia: Engineering and Physical Sciences in Medicine and The Australian Biomedical Engineering Conference 2007 (2007 EPSM-ABEC), 14-18 Oct 2007
  • Wilson PL., Huang H. and Takagi S. (2007) The lipid bilayer at the mesoscale: a physical continuum model. Victoria University of Wellington, New Zealand: 1st Joint International Meeting between the American Mathematical Society and the New Zealand Mathematical Society (AMS-NZMS 2007), 12-15 Dec 2007
  • Wilson PL. (2005) Mesoscale mathematical membrane modeling. University of Tokyo, Japan: 19th Symposium on Fluid Engineering, 3 Dec 2005
  • Wilson PL. (2003) The turbulent boundary layer in a slender curved duct. Durham University, UK: LMS-Durham Workshop on New Developments, 18 Jul 2003
  • Wilson PL. (2003) The turbulent boundary layer in a slender curved duct. Southampton University, UK: British Applied Mathematics Colloquium, 9 Apr 2003
  • Wilson PL. (2002) Inviscid flow through curved ducts. Warwick University, UK: British Applied Mathematics Colloquium, 12 Apr 2002
Oral Presentations
  • Wilson PL., Huang H. and Takagi S. (2009) Lipid bilayers: An introduction and modelling. Lighthill Institute of Mathematical Science, London, UK: Evening Lecture, 16 Dec 2009.
Reports
  • Wilson PL., Huang H. and Takagi S. (2008) The lipid bilayer at the mesoscale: A physical continuum model.Commissioned by UCDMS2008/2.
Other
  • Wilson PL. (2017) The Princeton Companion to Applied Mathematics. Bhavana 1(3) The Indian Mathematics Consortium. [Book review].
  • McLeod JC. and Wilson P. (2016) The mathematics of craft. The Wheel(28): 44-45.
  • Wilson P. (2013) Francois Charru (translated by Patricia de Forcrand-Millard), Hydrodynamic Instabilities. Cambridge: Cambridge University Press, 2011; 410pp. Mathematics Today 49(2): 95-96. [Book Review].
  • Wilson P. (2011) Marcus du Sautoy, The Num8er My5teries. London: Fourth Estate, 2010; 320pp. LMS Newsletter(400): 28-29. [Book Review].
  • Wilson P. (2010) An Introduction to Modeling and Simulation of Particulate Flows. Mathematics Today 46(2): 97. [Book Review].
  • Wilson P. (2010) Numerical Analysis and Optimization - an Introduction to Mathematical Modelling and Numerical Simulation. Mathematics Today 46(2): 94. [Book Review].
  • Wilson P. (2009) Infinite Ascent - A Short History of Mathematics. Mathematics Today -Southend on Sea- 45(2): 76. [Book Review].
  • Wilson PL. (2009) Approximation of Large-Scale Dynamical Systems. Mathematics Today 45(1): 35. [Book Review].
  • Wilson PL. (2009) Mathematical Modelling ICTMA12: Education, Engineering & Economics. Mathematics Today 45(4): 191. [Book Review].
  • Wilson PL. (2009) Mathematical Tools for One-Dimensional Dynamics. Mathematics Today 45(3): 128. [Book Review].
  • Wilson PL. (2009) Naive Decision Making. Mathematics Today 45(5): 241. [Book Review].
  • Wilson PL. (2009) Nets, Puzzles, and Postmen. Mathematics Today 45(6): 281-282. [Book Review].
  • Wilson P. (2008) Arthur Cayley [book review]. Mathematics Today 44(1): 53. [Magazine of professional body].
  • Wilson P. (2008) Galileo Antichrist - A Biography [book review]. Mathematics Today -Southend on Sea- 44(6): 263-264. [Magazine of professional body].
  • Wilson P. (2008) Physdamentalism. Physics World 21(1): 17. [Letter to the Editor].
  • Wilson P. (2008) The Mind of the Mathematician [book review]. Mathematics Today -Southend on Sea- 44(4): 175. [Magazine of professional body].
  • Wilson PL. (2008) One to Nine [book review]. Mathematics Today 44(3): 132. [Magazine of professional body].
  • Wilson P. (2007) Chaos: a very short introduction [book review]. Mathematics Today 43(6): 218-219. [Magazine of professional body].
  • Wilson PL. (2005) The right mistakes. Physics World 18(4): 20. [Print].
  • van den Berg JB., Kozyreff G., Lin HX., McDarby J., Peletier MA., Planque R. and Wilson PL. (2004) Japanese oysters in Dutch waters. Proceedings of the fourty-fifth European Study Group with Industry: 21-44. Leiden: [Print].
Theses / Dissertations
  • Wilson PL. (2003) On the core flow and turbulent boundary layer in a curved duct. London, UK. University College London.