Personal profile
Research overview
Cancer is one of the major causes of death in the world, particularly the developed world, with around 11 million people diagnosed and around 9 million people dying each year. The World Health Organisation (WHO) predicts that current trends show the number rising to 11.5 million in 2030. There are few individuals who have not been touched either directly or indirectly by cancer. While treatment for cancer is continually improving, alternative approaches can offer even greater insight into the complexity of the disease and its treatment. Biomedical scientists and clinicians are recognising the need to integrate data across a range of spatial and temporal scales (from genes through cells to tissues) in order to fully understand cancer.
My main area of research is in what may be called "mathematical oncology" i.e. formulating and analysing mathematical models of cancer growth and treatment. I have been involved in developing a variety of novel mathematical models for all the main phases of solid tumour growth, namely: avascular solid tumour growth, the immune response to cancer, tumour-induced angiogenesis, vascular tumour growth, invasion and metastasis.
The main modelling techniques involved are the use and analysis of nonlinear partial and ordinary differential equations, the use of hybrid continuum-discrete models and the development of multiscale models and techniques.
Much of my current work is focussed on what may be described as a "systems approach" to modelling cancer growth through the development of quantitative and predictive mathematical models. Over the past 5 years or so, I have also helped develop models of chemotherapy treatment of cancer, focussing on cell-cycle dependent drugs, and also radiotherapy treatment. One of the new areas of research I have started recently is in modelling intracellular signalling pathways (gene regulation networks) using partial differential equation models.
The long-term goal is to build a "virtual cancer" made up of different but connected mathematical models at the different biological scales (from genes to tissue to organ). The development of quantitative, predictive models (based on sound biological evidence and underpinned and parameterised by biological data) has the potential to have a positive impact on patients suffering from diseases such as cancer through improved clinical treatment.
Further details of my current research can be found at the Mathematical Biology Research Group web page.
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):
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SDG 3 Good Health and Well-being
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SDG 13 Climate Action
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SDG 14 Life Below Water
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Collaborations and top research areas from the last five years
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A genuinely hybrid, multiscale 3D cancer invasion and metastasis modelling framework
Katsaounis, D., Harbour, N., Williams, T., Chaplain, M. A. J. & Sfakianakis, N., 1 Jun 2025, In: Bulletin of Mathematical Biology. 86, 6, 64.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Editorial: Mathematical modeling and computational predictions in oncoimmunology
Kuznetsov, V. A., Enderling, H. & Chaplain, M., 30 May 2024, (E-pub ahead of print) In: Frontiers in Immunology. 15, 2 p., 1432372.Research output: Contribution to journal › Editorial › peer-review
Open AccessFile -
Introduction to ‘Making the most of AI’s potential: cross-disciplinary perspectives on the role of AI in science and society’
Kwiatkowska, M., Chaplain, M. & Viding, E., Sept 2024, In: Royal Society Open Science. 11, 9, 3 p., 241306.Research output: Contribution to journal › Editorial › peer-review
Open AccessFile -
Mathematical modelling of cancer invasion: phenotypic transitioning provides insight into multifocal foci formation
Szymańska, Z., Lachowicz, M., Sfakianakis, N. & Chaplain, M. A. J., 1 Jan 2024, In: Journal of Computational and Applied Mathematics. 75, 15 p., 102175.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Simulating BRAFV600E-MEK-ERK signalling dynamics in response to vertical inhibition treatment strategies
De Carli, A., Kapelyukh, Y., Kursawe, J., Chaplain, M. A. J., Wolf, C. R. & Hamis, S. J., 15 May 2024, In: npj Systems Biology and Applications. 10, 12 p., 51.Research output: Contribution to journal › Article › peer-review
Open AccessFile
Datasets
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Dissipative particle dynamics simulation of critical pore size in a lipid bilayer membrane (software)
Bowman, C. (Creator), Chaplain, M. A. J. (Creator) & Matzavinos, A. (Creator), GitHub, 12 Nov 2017
https://github.com/clark-bowman/LAMMPS-PoratedMembrane
Dataset: Software
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Quantifying ERK activity in response to inhibition of the BRAFV600E-MEK-ERK cascade using mathematical modelling (code)
Hamis, S. J. (Creator) & Chaplain, M. A. J. (Creator), GitHub, 2021
https://github.com/SJHamis/MAPKcascades
Dataset: Software
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All simulation results, figures and code regarding the manuscript: Calibrating models of cancer invasion: parameter estimation using Approximate Bayesian Computation and gradient matching
Xiao, Y. (Contributor), Thomas, L. (Contributor) & Chaplain, M. (Contributor), Dryad, 26 Mar 2020
Dataset
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Applications of likelihood-free parameter inference methods on numerical models of cancer invasion (thesis data)
Xiao, Y. (Creator), Chaplain, M. A. J. (Supervisor) & Thomas, L. (Supervisor), University of St Andrews, 16 Aug 2022
DOI: 10.17630/f2a34bdc-d9a0-4dcf-8eb1-9d6c1a79af95, http://hdl.handle.net/10023/25952
Dataset: Thesis dataset
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Modelling rheumatoid arthritis: A hybrid modelling framework to describe pannus formation in a small joint (code)
Macfarlane, F. R. (Creator) & Chaplain, M. A. J. (Creator), GitHub, 2022
https://github.com/Fiona-Macfarlane/Arthritis
Dataset: Software
Projects
- 3 Finished
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Mathematical COVID-19 infection: Multiscale mathematical modelling of within-host COVID-19 infection and between-host transmission
Chaplain, M. (PI)
1/12/20 → 31/07/21
Project: Standard
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SofTMech with MIT and POLIMI: SofTMech with MIT and POLIMI (SofTMechMP)
Chaplain, M. (PI)
1/01/20 → 31/12/23
Project: Standard
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EPSRC Centre - Multiscale Soft Tissue: EPSRC Centre for Multiscale soft tissue mechanics with application to heart & cancer
Chaplain, M. (PI)
1/04/16 → 31/03/20
Project: Standard
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CMBE 2019: 6th International Conference on Computational and Mathematical Biomedical Engineering
Chaplain, M. A. J. (Keynote/Plenary speaker)
12 Jun 2020Activity: Talk or presentation types › Invited talk
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Mathematical modelling, mutations and metastases: Can we cure cancer with calculus?
Chaplain, M. A. J. (Keynote/Plenary speaker)
11 Apr 2018Activity: Talk or presentation types › Public lecture/debate/seminar
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SMB2017 Annual Meeting of The Society of Mathematical Biology
Chaplain, M. A. J. (Keynote/Plenary speaker)
17 Jul 2017Activity: Talk or presentation types › Invited talk
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Journal of Theoretical Biology (Journal)
Chaplain, M. A. J. (Editor)
10 Apr 2017 → …Activity: Publication peer-review and editorial work types › Editor of research journal
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Royal Society Open Science (Journal)
Chaplain, M. A. J. (Editor)
1 Mar 2016 → …Activity: Publication peer-review and editorial work types › Editor of research journal
Prizes
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Fellow of the Royal Society of Edinburgh
Chaplain, M. A. J. (Recipient), Mar 2003
Prize: Election to learned society
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Impacts
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PhaSER - Drug-Drug Interaction Modelling
Wolf, R. (Participant) & Chaplain, M. (Participant)
Impact: Health and Welfare Impact, Economic, Commercial Impact
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Radical Health AI - Cancer Treatment Optimisation
Korsgaard Jensen, S. (Participant), Sfakianakis, N. (Participant) & Chaplain, M. (Participant)
Impact