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Dr Damian Farnell

Dr Damian Farnell

Senior Lecturer in Medical Statistics

School of Dentistry

Available for postgraduate supervision


I am a senior lecturer of applied mathematics in dentistry at the School of Dentistry at Cardiff University, UK, and I am the module leader for two postgraduate courses on "Research Methods" (DET031) and "Postgraduate Dental Professionalism" in the School of Dentistry. I provide research advice and statistical consultancy for projects in the School of Dentistry. 

Research Interests:

  • Medical and dental research: epidemiology & statistical analysis of laboratory and clinical studies data
  • Mathematical Biology
  • Medical imaging and image processing
  • Quantum magnetism, especially “frustrated” magnetic systems

Burwalls 2020:

Together with Dr. Renata Medeiros Mirra, I will co-organise a meeting entitled: Burwalls 2020: For Teachers of Medical Statistics. For more details, please see the conference website.


An Introduction to Lattice Quantum Spin Systems by JB Parkinson and DJJ Farnell. Lecture Notes in Physics Vol. 816. Written by J.B. Parkinson and D.J.J. Farnell. (Springer Verlag, Heidelberg, 2010). (Softcover ISBN: 978-3-642-13289-6).

Quantum Magnetism. Lecture Notes in Physics Vol. 645, U Schollwoeck, J Richter, DJJ Farnell, and RF Bishop, (Editors), (Springer Verlag, Heidelberg, 2004). (Hardcover ISBN: 3-540-21422-4. Softcover from 2010: ISBN: 978-3642059766)

Coupled Cluster Method Theories of Quantum Magnetism, RF Bishop, PHY Li, DJJ Farnell, and R Zinke. Accepted for publication in the Springer series: Solid State Science. (To be published in 2020.)


  • PhD entitled “Integrable and Non-Integrable Quantum Arrays” (1994) University of Manchester Institute for Science and Technology (UMIST), UK.
  • BSc (1st) on Mathematical Physics (1991) University of Manchester Institute for Science and Technology (UMIST), UK.

Honours and awards

Professional memberships

Academic positions

  • From 2014-present: Lecturer/Senior lecturer of Applied Mathematics in Dentistry, School of Dentistry, Cardiff University, UK.
  • 2011-2014: Senior Lecturer in Mathematics, University of South Wales, UK.
  • 2007-2011: Research Statistician, University of Manchester, UK.
  • 2003-2006: Lecturer in Ophthalmic Imaging, St. Paul’s Eye Unit + University of Liverpool, UK.
  • 1995-2003: Post-doctoral researcher (theoretical physics and medical research).
  • 1994-1995: Software engineer, Logica UK Ltd.

Speaking engagements

Royal Institution Mathematics Masterclasses:

  • “Mathematics in Medicine.” A lecture in the series: Royal Institution Mathematics Masterclasses at the University of South Wales (each year in March, 2013 to 2019).

Presentations and posters (2017 to 2020 only):

1. Multilevel Models of Age-Related Changes in Facial Shape in Adolescents. Poster presentation at the University Hospital Wales, R&D Conference. October 2019. Cardiff City Stadium.
2. Quantum Magnetism. Informal presentation given to members of the frustrated magnetism group. Physics, Cardiff University. October 2019.
3. Multilevel Models of Age-Related Changes in Facial Shape in Adolescents. Poster presentation at the British Society for Oral and Dental Research (BSODR) annual meeting. September 2019.
4. Multilevel Models of Age-Related Changes in Facial Shape in Adolescents. Oral presentation at the Medical Image Understanding and Analysis (MIUA) July 2019.
5. The Use of Flipped Learning in Teaching a Postgraduate Research Methods Module: The Pros and Cons. Dr Damian Farnell. Burwalls: For Teachers of Medical Statistics. University of East Anglia (8th-10th, July 2019). Oral Presentation.
6. Multilevel Principal Components Analysis (mPCA) of Facial Shape and Image Texture. Invited Oral Presentation, KU Leuven, Belgium (Friday 3rd May 2019).
7. Flipped learning – experiencing the pros and cons for inverted learning. Dr Damian Farnell and Mrs Rhiannon Jones Association of Science Educators in Dentistry (ASEID), Cardiff University (April 2019).
8. What’s in a Smile? Initial Results of Multilevel Principal Components Analysis of Facial Shape and Image Texture. Oral presentation at the Medical Image Understanding and Analysis (MIUA) July 2018.
9. What’s in a Smile? Multilevel Models of Facial Shape and Appearance. Dental School R&D day, Cardiff University (May 2017). Oral Presentation.
10. Emergence of magnetic order in kagome antiferromagnets: The role of next-nearest-neighbor bonds Johannes Richter, Patrick Müller, Oliver Götze, Damian Farnell, Heinz-Jürgen Schmidt Strongly Correlated Electron Systems, SCES (July 2017). Poster presentation.
11. Monte Carlo Methods and Teaching Biostatistics, Damian J.J. Farnell. Burwalls: For Teachers of Medical Statistics. (July 2017). Oral Presentation.
12. A systematic review of information literacy programs in higher education: Effects of face-to-face, online and blended formats on student skills and views. Alison L. Weightman, Delyth Morris, Heather Strange, Gillian Hallam, and Damian J.J. Farnell. One-day meeting at Cardiff University “To Tech or Not to Tech” (CUSEIP, July 2017). Lightning presentation and poster.
13. Initial Results of Multilevel Principal Components Analysis of Facial Shape, DJJ Farnell, J Galloway, A Zhurov, S Richmond, P Perttiniemi, and V Katic. Poster presentation at the Cardiff and Vale University Health Board R&D Day, 13th June 2017. ibid. Poster presentation at the Medical Image Understanding and Analysis (MIUA) July 2017.
14. Oral Health Improves, But Inequalities Remain for Children in Wales. Damian JJ Farnell, Maria Z Morgan, Nigel P Monaghan and Ivor Chestnutt. Oral presentation at the International Association for Dental Research, General Meeting (San Francisco, March 2017).

Committees and reviewing


  • Dental Research Ethics Committee
  • Dental Toothbank Committee
  • Dental Postgraduate Research Committee
  • College Data Strategy Committee
  • College Training & Research Support Group
  • MSc Dental Subject Boards


  • Journal reviewer, e.g., for: Frontiers of Physics; Journal of Physics Communications; Computer Methods and Programs in Biomedicine; Journal of Dental and Oral Health; Journal of Emergencies Medicine; Community Dental Health; Journal of Physics: Condensed Matter; etc.
  • Grant reviewer.




























  • Module leader for module entitled "Research Methods" for postgraduate students in the School of Dentistry.
  • Module leader for an online postgraduate module entitled "Postgraduate Dental Professionalism" 
  • Academic tutor for second-year undergraduate dental students
  • PhD supervision
  • MSc and undergraduate project supervision

3D Facial Imaging and Shape Modelling

Research in the Orthodontics and 3D Imaging Research group uses 3D facial imaging in order to "explain facial variation (biological make-up, anatomy, facial surface morphology and function) to inform a fully functioning biomechanical head model which is of value to improve healthcare interventions, improve wellbeing and quantify facial variation for face-wear, facial identification/forensics and computer interface industries."

My research focusses on developing mathematical models of 3D facial shape in order to achive the aims above. I have developed a multilevel principal components analysis (mPCA) code that allows us to model different sources of variations at different levels of the model. Recent research successes using the mPCA approach via this code have been:  

  • Detecting changes in facial shapes between different nationalities and also by sex. Click here for more details.
  • Identifying seven phases of a "smile" in dynamic 3D shape "video" data. Click here for more details.
  • Modelling age-related facial changes in Finnish and Welsh adolescents. Click here for more details.

Automated Retinal Image Analysis (ARIA) dataset

Principal researcher for the ARIA project at St. Paul's Eye Unit, RLUHT. Recruitment of patients, retinal photography, and image analysis of resulting digital fundus photographs. See this link for a directory of images collected by members of staff of St Paul's Eye Unit and the University of Liverpool as part of the ARIA project.

CCCM (crystallographic coupled cluster method):

CCCM is a high-order CCM (coupled cluster method) code for lattice spin systems at T=0 by Damian J. J. Farnell (DF).

  • Historically, this code is based on "foundations" laid by Ray Bishop and John Parkinson (amongst others), and Chen Zeng's work in the 90's on the high-order code.
  • This code has been exploited and pushed forward by Damian Farnell and Sven Krüger primarily.
  • Joerg Schulenburg (JS) improved this code greatly and he has set up this webpage for distribution of the most recent code.

Current Supervsion

  • Co-supervisor (PhD; 33%) of Ms. Jennifer Galloway. Project: 3D facial shape analysis.
  • Co-supervisor (PhD; 50%) of Mr. Sam Evans. Project: description and interpretation of bruises sustained from physical abuse.
  • Co-supervisor (MSc; 50%). Project: eye tracking of lay versus professional orthodontists for images of the mouth and teeth.
  • Supervisor (100%) of an undergraduate student. Project: 3D imaging of otter skull and analysis of cranial shape.

Past projects

Previous Supervision

  • Co-supervisor (PhD; 50%) of Dr. Kathryn Cracknell. Project: Latanoprost Induced Iris Darkening in Colour Images of the Eye for Glaucoma Patients. (University of Liverpool.)
  • Co-supervisor (PhD; 50%) of Dr. Nor Azlida Binti Mohd Nor. Project: Impact of fluoride concentration in water supply on oral health. (Cardiff University.) 
  • Supervisor (100%) of undergraduate students for their final-year research projects. (Unit of Mathematics, University of South Wales.)