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Research Supervision (as supervisor or co-supervisor)

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 (almost all co-supervision with colleagues)
• L. Hutchinson (2016) Mathematical models of anti-angiogenic therapy and vessel normalisation (almost all co-supervision with colleagues)
• J. Scott (2016) Mathematical modelling of tumour evolution and radiation response: The impact of heterogeneity (almost all co-supervision with colleagues)
• S. Pillay (2017) Modelling angiogenesis: A discrete to continuum approach (almost all co-supervision with colleagues)
• L. Hutton-Smith (2018) Modelling the pharmacokinetics and pharmacodynamics of macromolecules for the treatment of wet AMD
• T. Lewin (2018) Modelling the impact of heterogeneity in tumour composition on the response to fractionated radiotherapy(almost all co-supervision with colleagues)
• A.V.P. Ponce Bobadilla (2019) Mathematical models of cell migration and proliferation in scratch assays University of Heidelberg (Graduated summa cum laude)
• A. Almet (2019) Biomechanics of intestinal crypt morphogenesis (almost all co-supervision with colleagues)
• D. Park (2019) Ecological impacts of cancer chemotherapy on hematopoietic and immune dynamics (Department if Zoology), (almost all co-supervision with colleagues)
• A. Ardaseva (2020) Modelling the effects of temporal variations of blood flow in tumours
• C Solis Salas Techniques for stochastic spatial sensing in biology: From immunology to anthropology
• M. Strobl (2021) Adaptive Therapy for Cancer: Integrated modelling of tumoral competition for controlling drug resistance
• R. Giniunaite (2021) Modelling the collective migration of neural crest cells
• W.D. Martinson (2022) Follow the leader: Collective cell migration in cancer and developmental biology
• D. Stepanova (2022) Mathematical modelling of angiogenesis as an integrated multicellular process (co-supervisor), Universitat Autonoma de Barcelona (UAB), Centre de Recerca Matematica (CRM) (Graduated Sobresaliente (top mark))
• W. Hart (2022) Dynamics and control of infectious disease epidemics: compartmental modelling of variations in infectiousness and symptoms during infection
• G. Celora (2022) Modelling the impact of cyclic hypoxia on cell-cycle regulation in cancer cells
• G. W. Atkinson (2023) Multistablity and switching dynamics in vascular networks
• S. Unnithan Kumar (2023) Mathematical ecology in a more-than-human world
• C. Colson (2023) Investigating the impact of growth arrest mechanisms on tumour growth and responses to radiotherapy and hyperthermia
• R. Stephens (2023) Techniques for analysis and integration of histology data and agent-based modelling of T cell-tumour interactions
• M. Alhajri (2023) Multi-scale modelling of bacteria transport and growth in periodic porous media
• Y. Liu (2024) Challenges in modelling and control of biological systems

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-Bobadilla (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) (almost all co-supervision with colleagues)
  
• M. A. R. Strobl (2016) A mathematical model of phenotype competition in an invading tumour
  
• T. Pak (2017) Modelling cell invasion in the neural crest
  
• R. Curtis (2019) Different metrics for analysing a discrete model of angiogenesis
  
• E. Robinson (2024) Modelling cancer cell invasion
  
• E. Agostinelli (2024) Spatial effects on the impact of growth arrest mechanisms on tumour growth and responses to radiotherapy
  

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:
K. Bonic-Babic, R Crossley, J. Jewell, S. Johnson, P. Lamirande, V. Narain, R. Nixson, V. Piskovsky, Y. Qi.

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)