• United Kingdom

Accepting PhD Students

PhD projects

(1) Novel Deep Learning Methods for Limited Data (segmentation and registration)
(2) Natural language processing applied to learn medical images
(3) Novel variational models for multimodal data integration
(4) Efficient numerical methods for models with high order regularization
(5) Integrating mathematical and artificial intelligence algorithms with vision-language models (funded) see https://tinyurl.com/Ken-UoS-PhD2023a
(6) Development of mathematical and AI algorithms for multimodal imaging: see https://tinyurl.com/Ken-UoS-PhD2024a
(*) New home page: https://www.strath.ac.uk/staff/chenkeprofessor/ and Previous home page: https://www.liverpool.ac.uk/~cmchenke/

Personal profile

Personal Statement

Professor Chen is an applied and computational mathematician. His interests are in developing and analysing new and novel algorithms for a range of scientific and engineering applications. He has collaborated with many UK industries on mathematical modelling problems.  More than 10 of his previous PhD students worked directly with industrial funding.


His current interests are in developing imaging analysis techniques for high resolution image processing problems (mainly inverse problems)  using a range of mathematical tools such as variational models, PDEs, iterative solvers and deep learning methods.  He has paid particular attention to medical imaging problems (such as segmentation and co-registration), engaging directly with practitioners and medical doctors. Currently he holds an honorary position at Clatterbridge Cancer Centre (NHS) as a clinical consultant.


Prior to joining Strathclyde, he  was the director of two multidisciplinary research centres (CMIT and LCMH) in the University of Liverpool.  Some of his publications can be found from Google scholar at https://scholar.google.com/citations?hl=en&user=X-WqrVUAAAAJ 

where one sees that papers published in Nature Scientific Report (2022) and CVPR (2023)  are from his current collaborations in maths and AI.


Publications may be found on UoL page: https://www.liverpool.ac.uk/~cmchenke/chen_pub.html and also

software from here: http://www.liv.ac.uk/~cmchenke/softw.htm


He is keen to promote and welcome collaborations with his group and his Department where applied maths and stats are very strong.


He has two fully funded studentships ------ see (1) https://tinyurl.com/Ken-UoS-PhD2023a ----- and (2) NW Bio project https://tinyurl.com/Ken-UoS-PhD2024F

Personal Statement

Expertise related to UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):

  • SDG 3 - Good Health and Well-being

Education/Academic qualification

Doctor of Philosophy, Analysis of Iterative Methods for the solution of BIEs with applications to the Helmholtz problem, Plymouth University

1 Jan 198731 Dec 1989

Award Date: 1 Mar 1990

Master in Science, Multigrid methods for linear and nonlinear problems, Manchester University

15 Mar 198531 Dec 1986

Award Date: 11 Dec 1986

External positions

Honaray Clinical Consultant, Liverpool Head and Neck Center and Institute of Systems, Molecular and Integrative Biology, University of Liverpool, Liverpool, UK.; Clatterbridge Cancer Centre NHS Foundation Trust and Liverpool Cancer Research UK Experimental Cancer Medicine Center Liverpool, Liverpool, UK.

2 Aug 20231 Aug 2025


  • Numerical methods for PDEs
  • Numerical analysis
  • Nonlinear optimization
  • Variational models for imaging
  • Deep Learning
  • Medical imaging
  • Scientific computing


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Collaborations and top research areas from the last five years

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