Academia

Selected publications, employment, education, awards and former students.

Publications

This archive covers publications to 2017. My Cardiff University profile contains the current list.

2017

Graph-facilitated resonant mode counting in stochastic interaction networks. M. F. Adamer, T. E. Woolley, H. Harrington. 2017. Journal of the Royal Society Interface 14(137):20170447
Pattern production through a chiral chasing mechanism. T. E. Woolley. 2017. Physical Review E 96(3):032401
Random blebbing motion: A simple model linking cell structural properties to migration characteristics. T. E. Woolley, E. A. Gaffney, A. Goriely. 2017. Physical Review E 96(1):012409
Boundedness in a parabolic-elliptic chemotaxis system with nonlinear diffusion and sensitivity, and logistic source. G. Viglialoro, T. E. Woolley. 2017. Mathematical Methods in the Applied Sciences 41(5)1809- 1824
Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth. G. Viglialoro and T. E. Woolley. 2017. Discrete and Continuous Dynamical Systems, Series B 22(11):1-23
Turing's Theory of Morphogenesis: Where We Started, Where We Are and Where We Want to Go. T. E. Woolley, R. E. Baker, P. K. Maini. 2017. The Incomputable. 219-235

2016

Dissecting the self-assembly kinetics of multimeric pore-forming toxins. A. A. Lee, M. J. Senior, M. I. Wallace, T. E. Woolley, I. M. Griffiths. 2016. Journal of The Royal Society Interface. 13(114):20150762

2015

Membrane shrinkage and cortex remodelling are predicted to work in harmony to retract blebs. T. E. Woolley, E. A. Gaffney, A. Goriely. 2015. Roy. Soc. Open Sci. 2(7):150184
Global contraction or local growth, bleb shape depends on more than just cell structure. T. E. Woolley, E. A. Gaffney, S. L. Waters, J. M. Oliver, R. E. Baker, A. Goriely. 2015. J. Theo. Biol., 380:83-97.

2014

How long can we survive? T. E. Woolley, R. E. Baker, E. A. Gaffney and P. K. Maini. 2014. Mathematical Modelling of Zombies, Chapter 6. University of Ottawa Press. Editor: Robert Smith.
Mighty Morphogenesis. T. E. Woolley. 2014. 50 Visions of Mathematics, Chapter 48. Oxford University Press. Editor: Sam Parc.
Three mechanical models for blebbing and multi-blebbing. T. E. Woolley, E. A. Gaffney, S. L. Waters, J. M. Oliver, R. E. Baker, A. Goriely. 2014. IMA J. App. Math., 79(4):636-660.
Is Pigment Cell Pattern Formation In Zebrafish a Game of Cops and Robbers? T. E. Woolley, P. K. Maini, E. A. Gaffney. 2014. Pigm. Cell. Melan. Res., 27(5):686-687.
Cellular blebs: pressure-driven, axisymmetric, membrane protrusions. T. E. Woolley, E. A. Gaffney, J. M. Oliver, R. E. Baker, S. L. Waters, A. Goriely. 2014. Biomech. Model. Mechanobiol., 13(2):463-476.

2013

Mathematical modelling of digit specification by a sonic hedgehog gradient. T. E. Woolley, R. E. Baker, C. Tickle, P. K. Maini, M. Towers. 2013. Dev. Dyn. 243(2):290-8.
Modelling Biological Invasions: Individual to Population Scales at Interfaces. J. Belmonte-Beitia, T. E. Woolley, J. G. Scott, P. K. Maini, E. A. Gaffney. 2013. J. Theo. Biol. 334(0)1-12.
Noise-induced temporal dynamics in Turing systems. L. J. Schumacher, T. E. Woolley, R. E. Baker. 2013. Phys. Rev. E, 87(4):042719.

2012

Non-linear effects on Turing patterns: Time oscillations and chaos. J. L. Aragón, R. A. Barrio, T. E. Woolley, R. E. Baker, P. K. Maini. 2012. Phys. Rev. E, 86(2):026201.
Turing's model for biological pattern formation and the robustness problem. P. K. Maini, T. E. Woolley, R. E. Baker, E. A. Gaffney and S. S. Lee. 2012. Roy. Soc. Interface Focus, 2(4):393-396.
Age related changes in speed and mechanism of adult skeletal muscle stem cell migration. H. Collins-Hooper, T. E. Woolley, L. Dyson, A. Patel, P. Potter, R. E. Baker, E. A. Gaffney, P. K. Maini, P. R. Dash and K. Patel. 2012. Stem Cells 30(6):1182-1195.
Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems. T. E. Woolley, R. E. Baker, E. A. Gaffney, P. K. Maini and S. S. Lee. 2012. Phys. Rev. E, 85(5):051914.

2011

Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation. T. E. Woolley, R. E. Baker, E. A. Gaffney and P. K. Maini. 2011. Phys. Rev. E, 84(4):046216.
Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise. T. E. Woolley, R. E. Baker, E. A. Gaffney and P. K. Maini. 2011. Phys. Rev. E, 84(4):041905.
The Secret of the Winning Streak. T. E. Woolley and M. P. F. du Sautoy. 2011. School Sci. Rev., 93(342), pages 93-99.
Power spectra methods for a stochastic description of diffusion on deterministically growing domains. T. E. Woolley, R. E. Baker, E. A. Gaffney and P. K. Maini. 2011. Phys. Rev. E, 84(2):021915.
Interactions between Shh, Sostdc1 and Wnt signaling and a new feedback loop for spatial patterning of the teeth. S. W. Cho, S. Kwak, T. E. Woolley, M. J. Lee, E. J. Kim, R. E. Baker, H. J. Kim, J. S. Shin, P. K. Tickle, C. Maini and H. S. Jung. 2011. Development, 138 (9):1807-1816.

2010

Analysis of stationary droplets in a generic Turing reaction-diffusion system. T. E. Woolley, R. E. Baker, P. K. Maini, J. L. Aragón and R. A. Barrio. 2010. Phys. Rev. E, 82(5):051929.

Employment

Cardiff University

Reader in Applied Mathematics. Current appointment.

Lecturer and subsequently Senior Lecturer in Applied Mathematics from 2017 until promotion to Reader.

St John's College, Oxford

Junior Research Fellow in Mathematics, 2013–2017. Continued research into cellular motility.

Non-Stipendiary Lecturer in Mathematics, 2010–2012. Taught applied mathematics, complex analysis and examination technique.

Science Museum, London

Fellow of Modern Mathematics, 2014–2016. Advised on the creation of two mathematics galleries.

Oxford Centre for Collaborative Applied Mathematics

Postdoctoral Research Assistant, 2012–2014. Worked on mechanical approaches to cellular motility.

Broadcasting, publishing and continuing education

Mathematics adviser to Dara O'Briain's School of Hard Sums, author and tutor of The Number Mysteries continuing education course, developer for the BBC miniseries The Code, illustrator of Marcus du Sautoy's The Number Mysteries, and treatment writer for The Magic of Numbers.

Logos and images from Cardiff University, St John's College, the Science Museum, OCCAM and School of Hard Sums

Education

St John's College, University of Oxford, 2004–2012

DPhil: Spatiotemporal behaviour of stochastic and continuum models for biological signalling on stationary and growing domains. Supervisors: Ruth Baker, Eamonn Gaffney and Philip Maini.
MMath, first-class degree. Modules included Mathematical Ecology and Biology, Mathematics and Physiology, Mathematics and the Environment, and Applied Partial Differential Equations.
Fellow of the Higher Education Academy.

Mortimer Wilson Secondary School and Sixth Form, 1998–2004

Grade A at A level in Mathematics, Further Mathematics, Physics and Chemistry.
Eleven grade A and A* GCSEs.
First student to attend the school and sixth form and gain a place at the University of Oxford.

Awards and funding

JOGL microgrant, 2021 (€1,800).
Wolfram summer school, 2021 ($250).
Royal Society Pairing scheme, 2021.
Bespoke Turing patterns was the most downloaded article in March and top 10 most downloaded in July.
Written evidence to LBC0048: Life beyond COVID published by Parliament.
Senior member of the winning Cardiff University NERC Hackathon team, 2020 (£3,000).
Two doctoral studentships through KESS2 European Social Fund, 2019 (~£100,000).
Two CUROP studentships, 2019.
A mathematical insight into cell labelling experiments for clonal analysis was among the top 10% most downloaded between January 2018 and December 2019.
Grants for Joint Research Groups in the UK: South Wales Applied Mathematics for Biomedical Advances (SWAMBA), (£1500).
Bremen-Cardiff Alliance Collaborative Fund, 2019 (£2000).
Visiting Fellow, Stowers Institute for Medical Research, 2018 (all expenses paid).
NERC GW4+ Doctoral Training Partnership, 2018 (~£2,500).
IMA Small Grant, 2018 (£900).
Oberwolfach travel award, 2017 (€150).
The Mathematical Biosciences Institute Early Career Award. Four-month placement, 2017.
Shortlisted for the Westminster Medal, 2015.
OxTalent Online Outreach award, 2015.
University of Oxford Outreach Award (£50).
Prize article appearing in the IMA fiftieth anniversary book, 2014.
Awarded £6000 to organise a conference on Membrane Dynamics and Blebbing, 2014.
Shortlisted for the IMA Lighthill-Thwaites prize, 2013.
Invited speaker at the University of Mexico, 2012 (£1500) and 2014 (£1500).
Academic paper “power spectra methods for a stochastic description of diffusion on deterministically growing domains” highlighted as an important contribution by Virtual Journal of Biological Physics Research, 2011.
Institute Partner Fund academic travel award, 2010 ($1000).
SIAM Student Chapter Certificate of Recognition, 2010.
Awarded SIAM travel award ($700), 2010.
President of the Oxford SIAM Student Chapter, 2009 – 2010: As part of the committee, created and ran multiple events throughout the year including a conference for 120 people from around England.
Awarded St John’s College travel award (£500), 2009.
Chosen to give a Mathematical, Physical, Life Sciences Division prize talk, 2009 (£150).
Achieved highest applied first in final year (2008) and awarded free IMA membership and Junior Mathematics prize (£250).
Awarded "Gibbs prize" (£250) for best examination results during the second and third years, 2006–2007.
Awarded Casberd Scholarship (£150) for achieving first class in the first year exams, 2005.

Former Students

Project

James Martindale
Ali Tariq
Tim Ostler

Master's

Ali Tariq
Tom Leahy
Luke Heirene
Ferdie Amor

Doctorate

Emily Lewis
Tim Ostler
Joshua Moore
Lucy Henley
Citlali Solis-Salas
Michael Adamer