**Research Supervision
**

**D.Phil.**

- J. A. Sherratt (1991) Mathematical models of wound healing
- M. A. Burke (1992) Suicide substrates: An analysis of the enzyme reaction and reaction-diffusion equations
- G. C. Cruywagen (1992) Tissue interaction and spatial pattern formation
- G. A. Ngwa (1993) The analysis of spatial and spatio-temporal patterns in models for morphogenesis
- F. Sanchez-Garduno (1993) Travelling waves in one-dimensional degenerate nonlinear reaction-diffusion equations
- D. L. Benson (1994) Reaction-diffusion models with spatially inhomogeneous diffusion coeffcients
- P. D. Dale (1995) Time heals all wounds? Mathematical models of epithelial and dermal wound healing
- L. Olsen (1996) Mathematical modelling of wound contraction, fibroplasia and angiogenesis in dermal wound healing
- T. Hofer (1996) Modelling Dictyostelium aggregation
- J. Collier (1997) Spatial and propagating patterns in embryology
- K. J. Painter (1997) Chemotaxis as a mechanism for morphogenesis
- K. M. Page (1999) Mathematical models in embryology: The selection, regulation and speed of formation of patterns
- B. Marchant (1999) Modelling cell invasion
- E. Crampin (2000) Reaction and diffusion on growing domains
- A. Madzvamuse (2000) A numerical approach to the study of spatial pattern formation
- D. McInerney (2001) Spatio-temporal patterning in biological systems: Numerical techniques and mathematical modelling
- S. Schnell (2002) On the quasi-steady state approximation: Enzyme-substrate reactions as a case study
- C. Bampfylde (2004) Mathematical modelling of rain forest regeneration dynamics: A case study in Sabah, Malaysia [Plant Sciences]
- J. Panovska (2005) Mathematical modelling of tumour growth and application to therapy
- R. Baker (2005) Periodic pattern formation in developmental biology: a study of the mechanisms involved in somite formation
- D. Iber (2006) From single cells to multicellular organisms - a quantitative analysis
- K. Smallbone (2006) The role of acidity in tumour development
- P. Kooner (2006) Mathematical modelling of tumour invasion: From biochemical networks to tissue dynamics
- M. Johnston (2008) Mathematical modelling of cell population dynamics in the colonic crypt with application to colorectal cancer
- D. Nicolau (2008) Spatial modelling of chemotaxis and its evolution
- P.J. Murray (2008) From discrete to continuum models of tumour growth
- I. J. Stamper (2009) Approaches to modelling angiogenesis and vasculogenesis in solid tumours [Univ of Nottingham]
- S. Galsworthy (2009) Modelling the regional dynamics of plants
- N.K. Martin (2009) Mathematical modelling of tumour acidity: buffer therapy and stromal effects
- C.E. Jupp (2010) Mathematical modelling of feather germ formation
- J.W. Schofield (2010) Aspects of modelling solid tumours
- C.A. Yates (2011) Comparing stochastic discrete and deterministic continuum models of cell migration
- T.E. Woolley (2011) Spatiotemporal behaviour of stochastic and continuum models for biological signalling on stationary and growing domains
- A. Smith (2011) Vertex model approaches to epithelial tissues in developmental systems
- O. Cominetti Allende (2012) DifFUZZY: A novel clustering algorithm for systems biology
- L.L.M. Heaton (2012) Biological transport networks [Physics]
- K. Bloch (2012) Structural and bioenergetic changes in tumour spheroids during growth [Clinical Medicine]
- G. Klingbeil (2012) Stochastic simulation of biochemical reaction systems on massively parallel processors
- G. Rosser (2012) Mathematical modelling and analysis of aspects of planktonic bacterial motility
- J. McGillen (2014) Mathematical modelling of metabolism and acidity in cancer
- D. Markham (2014) Spatial correlation models for cell populations
- S. Piltz (2014) Models for adaptive feeding and population dynamics in plankton
- A. Cherif (2015) Mathematical evolutionary epidemiology: Limited epitopes, evolution of strain structures and age-specificity
- A.J. Connor (2015) In silico modelling of tumour-induced angiogenesis
- L. Bowden (2015) Mathematical approaches to modelling healing of full thickness circular skin wounds
- H. Mukhopadhyay (2015) Multisite phosphorylation in T cell receptor proximal signalling [Dunn School of Pathology]
- M. Lever (2015) Phenotypic models for T cell activation [Dunn School of Pathology]
- L. Schumacher (2015) A mathematical exploration of principles of collective cell migration andself-organisation [Winner, Reinhart Heinrich Award for best thesis 2015] Please see https://www.esmtb.org/rhdtaward for details
- A. Lim (2015) Mathematical modelling of the host-virus interaction in chronic HTLV-I infection and its impact on our understanding of viral persistence and pathogenesis
- N. Picco (2016) Tumour-stromal interactions in cancer progression anddrug resistance (co-supervisor)
- L. Hutchinson (2016) Mathematical models of anti-angiogenic therapy and vessel normalisation (co-supervisor)
- S. Pillay (2017) Modelling angiogenesis: A discrete to continuum approach (co-supervisor)
- J. Scott (2017) Mathematical modelling of tumour evolution and radiation response: The impact of heterogeneity (co-supervisor)

**M.Sc.**

- P. D. Dale (1992) Mathematical modelling of corneal epithelial wound healing [distinction]

- B. Perumpanani (1993) Phase differences in morphogenesis (transfer dissertation)

- J. Parker (1994) The use of reaction diffusion systems to
simulate morphogenesis

- T. Roose (1995) Viral infection in moths

- C. Bampfylde (1999) Modelling rainforests

- R. Hall (2000) Modelling longitudinal bone growth plate
dynamics

- D. Iber (2001) Affinity maturation in the immune system [distinction]

- J. Mansuri (2002) The modelling of tumour growth using reaction-diffusion equations [distinction]
- L. Southworth (2003) HIV transmission model: Targeted
vaccination of commercial sex workers assuming heterogeneity of
infectiousness

- J. A. Garcia Lazaro (2003) Towards a mathematical model of the metabolic regulation of the pancreatic cell KATP
channel (MSc by research, Department of Physiology)

- B. Rapoport (2004) Geometric structures for encoding neural
information (MSc by research)

- T. Maharaj (2004) Transmission dynamics of HIV

- K. Sakellariou (2012) Modelling perineural tumour invasion (MSc by research: co-supervisor)

- J. Reimer (2013) Effective design of marine reserves: incorporating alongshore currents, size structure, and uncertainty (MSc by research: co-supervisor)

- V. Ponce (2015) Stochastic model for tumor control probability: effects of repair from sublethal damage (MSc in Complex Systems Science, Double Degree with The University of Warwick and Ecole Polytechnique)
(co-supervisor)

- M. A. R. Strobl (2016) A mathematical model of phenotype competition in an invading tumour [distinction]

**Other**

- S. E. Lazic (2009) Modelling the role of cancer stem cells in leukaemia (M.Phil in Computational Biology, Cambridge)

- J. Przybylo (2009) Design and characterization of a cellular automaton capable of simulating movement and mitosis (M. Phil in Computational Biology, Cambridge)

- Supervisor, Special Topics for M.Sc in Mathematical Modelling and Numerical Analysis

- Supervisor, Projects in Life Sciences Interface DTC, Systems Biology DTC and Systems Approaches to Biomedical Science

**Undergraduate
**

- P. A. Gokhale (1989) Pairing models for AIDS in heterosexual communities

- M. J. Nakamaye (1989) On the growth of AIDS

- P. Cox (1990) Single cell motion

- J. Collier (1993) A summary of somitogenesis

- T. Hofer (1993) Resolving the chemotactic wave paradox: A mathematical model for chemotaxis of Dictyostelium amoebae (Diplomarbeit, Humboldt Universitat zu Berlin)

- T. Roose (1994) Modelling self-shading in plants

- H. Chau (1996) Turing structures in reaction-diffusion systems (summer internship, Ecole Des Mines De Paris)

- V. Clavez (2003) Pattern formation. Epidemiology (work experience, ENS Paris)

- G. Gaglia (2005) Intracellular modelling in bacterial chemotaxis

- L. Dyson (2006) Modelling intracellular signalling in bacterial chemotaxis (Nuffield Foundation Undergraduate Research Bursary Scheme)

- A. Mason (2006) Understanding protein diffusion in the intracellular signalling of bacterial chemotaxis (BBSRC Vacation Bursary Scheme)

- Project supervisor, 3rd and 4th year students (Oxford)

**Current DPhil Students:**

M. Alhaji, A. Almet, B. Bartmanski, J. Field, D. Humphries, D. Park, N. Picco, S. Pillay, J. Scott.

**Postdoctoral Researchers:
**W.A.M. Brandts (1990-92), L-M. Zhang (1993), M. Boerlijst (1994-95), N. Monk (1994-97), F. Sanchez-Garduno (1994-95), L. Wahl (1995-96), J. Dallon (1996-99), E. Gaffney (1996-99), R. Satnoianu (1999-2001), E.Crampin (2000-03), A. Madzvamuse (2000-03), T. Alarcon (2000-03), A. Korobeinikov (2002-04),
T. Roose (2003-04), S. Schnell (2003-04), R. Hinch (2003-05), I. Couzin (2003-07), M. Tindall (2003-08), K. Kaouri (2004-2005), S. White (2004-05), C. Edwards (2004 -07) C. Escudero (2006-07), R. Erban
(2007-08) A. Fletcher (2008-), D. Smith (2008-11) P. Murray (2009-12), S. MacNamara (2009-11) P. J. Murray (2009-12), C. A. Yates (2011-2014), F. Spill (2011-13), T. Vejchodsky (2013-14), O. Maclaren (2013-15),
F Veerman (2013-15), J. Grogan (2014-17), A.J. Connor (2015-16), D Muraro (2016-17)