# Dr Thomas Woolley

Lecturer in Applied Mathematics

*Email:*- woolleyt1@cardiff.ac.uk
*Telephone:*- 02920 870618
*Location:*- Room 2.47, 21-23 Senghennydd Road, Cathays, Cardiff, CF24 4AG

- Media commentator

### Research Group

Applied Mathematics.

### Research Interests

Mathematical biology, Morphogenesis, Reaction-diffusion theory, Cellular motion, Stochastic dynamics, Neurobiology, Oncology.

Dr Thomas Woolley studied mathematics at University of Oxford between 2004-2017. Through his education he ended up specializing in mathematical biology, where his doctorate focused on understanding the pattern formation behind fish spots and zebra stripes. Alongside this research he now investigates mathematical models of stem cell movement. The hope is that by understanding how stem cells move we can influence them and, thus, speed up the healing process.

When not doing mathematics he is a keen participant in mathematical outreach workshops and has given a variety of popular maths lectures nationally and internationally. He has previously worked for the BBC, illustrated Marcus du Sautoy’s book and worked on the popular maths show “Dara O’Briains school of hard sums”. Most recently he was the Fellow of Modern Mathematics at the London Science Museum and is helped redesign their mathematics gallery.

### 2019

- Viglialoro, G. and Woolley, T. 2019. Solvability of a Keller-Segel system with signal-dependent sensitivity and essentially sublinear production. Applicable Analysis
- Weber, E.et al. 2019. Self-organizing hair peg-like structures from dissociated skin progenitor cells: New insights for human hair follicle organoid engineering and Turing patterning in an asymmetric morphogenetic field. Experimental Dermatology

### 2018

- Mihai, L. A.et al. 2018. Likely equilibria of stochastic hyperelastic spherical shells and tubes. Mathematics and Mechanics of Solids
- Viglialoro, G. and Woolley, T. 2018. Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth. Discrete and Continuous Dynamical Systems - Series B 23(8), pp. 3023-3045. (10.3934/dcdsb.2017199)
- Picco, N. and Woolley, T. 2018. Time to change your mind? Modelling transient properties of cortex formation highlights the importance of evolving cell. Journal of Theoretical Biology (10.1016/j.jtbi.2018.08.019)
- Kasemeier-Kulesa, J. C.et al. 2018. Predicting neuroblastoma using developmental signals and a logic-based model. Biophysical Chemistry 238, pp. 30-38. (10.1016/j.bpc.2018.04.004)
- Picco, N.et al. 2018. Mathematical modeling of cortical neurogenesis reveals that the founder population does not necessarily scale with neurogenic output. Cerebral Cortex 28(7), pp. 2540-2550. (10.1093/cercor/bhy068)
- Woolley, T.et al. 2018. Changes in the retreatment radiation tolerance of the spinal cord with time after the initial treatment. International Journal of Radiation Biology 94, pp. 515-531. (10.1080/09553002.2018.1430911)
- Sanders, J.et al. 2018. PLCz induced Ca2+ oscillations in mouse eggs involve a positive feedback cycle of Ca2+ induced InsP3 formation from cytoplasmic PIP2. Frontiers in Cell and Developmental Biology 6, article number: 36. (10.3389/fcell.2018.00036)
- Viglialoro, G. and Woolley, T. 2018. Boundedness in a parabolic-elliptic chemotaxis system with nonlinear diffusion and sensitivity, and logistic source. Mathematical Methods in the Applied Sciences 41(5), pp. 1809-1824. (10.1002/mma.4707)
- Mihai, L. A., Woolley, T. and Goriely, A. 2018. Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Proceedings of the Royal Society A 474(2211), article number: 201708. (10.1098/rspa.2017.0858)
- Mihai, L. A.et al. 2018. Likely cavitation in stochastic elasticity. Journal of Elasticity (10.1007/s10659-018-9706-1)
- Krause, A. L.et al. 2018. Heterogeneity induces spatiotemporal oscillations in reaction-diffusions systems. Physical Review E
- Mihai, L. A., Woolley, T. and Goriely, A. 2018. Likely equilibria of the stochastic Rivlin cube. Philosophical Transactions of the Royal Society of London. Series A: Mathematical and Physical Sciences, article number: 20180068.

### 2017

- Adamer, M., Woolley, T. and Harrington, H. 2017. Graph-facilitated resonant mode counting in stochastic interaction networks. Journal of the Royal Society Interface 14(137), article number: 20170447. (10.1098/rsif.2017.0447)
- Woolley, T. 2017. Pattern production through a chiral chasing mechanism. Physical Review E 96, article number: 32401. (10.1103/PhysRevE.96.032401)
- Woolley, T., Gaffney, E. and Goriely, A. 2017. Random blebbing motion: a simple model linking cell structural properties to migration characteristics. Physical Review E 96, article number: 12409. (10.1103/PhysRevE.96.012409)

### 0

- Picco, N.et al. . Mathematical modelling of cortical neurogenesis reveals that the founder population does not necessarily scale with neurogenic output. Cerebral Cortex (10.1101/206045)

My research focuses on understanding emergent properties and producing rigorous limits, which allow us to scale between discrete elements and continuous systems. Specifically, my doctoral research considered the link between continuous reaction-diffusion equations and their agent-based analogues.

More recently, I have been working on newly discovered cellular protrusions, which are able to affect a variety of cellular phenomena, such as motion and division. In collaboration with the University of Reading I am researching muscle stem cells that navigate towards regions of muscular damage resulting in muscle healing and regeneration. In particular, I am deriving analytical links between the spatio-temporal discrete protrusions of an individual cell and the continuous population distribution and movement of the stem cells. Critically, we have been able to use this model to algebraically couple traits in the observable cellular motion to unobservable structural features of the cell membrane.