Projects per year
Personal profile
Personal Statement
I gained a PhD from the University of Cambridge in 1984 and worked at Imperial College, London from 1984 to 1986. I also have a first class Honours degree in Mathematics and a distinction in Part III Mathematics. I am currently a member of the Population Modelling and Epidemiology Research Group at Strathclyde and have been a member of Strathclyde in the Departments of Mathematics, Statistics and Modelling Science and Mathematics and Statistics since 1986. I am currently Fourth Year Adviser of Studies and also Executive Editor of Journal of Biological Systems.
In 2015 I was awarded a two year (2015-2017) Leverhulme Trust Research Fellowship grant (50K RF-2015-88) as PI to study mathematical modelling of vaccination against dengue.
Expertise & Capabilities
I have expertise in mathematical and statistical modelling applied to biological problems, using differential equations to model biological problems, mathematical analysis, stochastic analysis, stochastic differential equations, maximum likelihood estimation and R software.
I have also taught many courses in the area of mathematics and statistics and supervised or co-supervised many undergraduate and postgraduate projects in mathematics and statistics.
Research Interests
My research interests involves mathematical and statistical techniques applied to biological problems, in particular mathematical and statistical modelling in epidemiology. I have over eighty papers in high quality refereed journals and have supervised or co-supervised almost twenty research students, seventeen at PhD level. I am regularly invited to speak at international conferences including as keynote and plenary speaker. Application areas of interest include HIV/AIDS, both heterosexual spread and spread amongst intravenous drug users, dengue vaccination, hepatitis A, hepatitits C, mumps and rubella. I have extensive overseas collaborations including Brazil (Professor E. Massad), India (Professor J. Chattopadhyay), Oman (Professor Q. J. A. Khan), Germany and The Netherlands.
In 2015 I was awarded a two year (2015-2017) Leverhulme Trust Research Fellowship grant (50K RF-2015-88) as PI to study mathematical modelling of vaccination against dengue.
Industrial Relevance
I have worked in collaboration with Health Protection Scotland (mathematical modelling of the spread of pneumococcus and the introduction of new pneumococcus vaccines, mathematical modelling of the spread of hepatitis C and hepatitis C control strategies such as needle cleaning and needle exchange and the effect of heterogeneity). I have also been involved in the development of a statistically based algorithm for infectious disease outbreak reporting which formed the basis of the system currently used by Health Protection Scotland. I have worked as a consultant for Public Health England where I was involved in identifying and quantifying replication in anonymous HIV test databases.
I have also worked with Wyeth vaccines on developing new vaccines for pneumococcus. and with Capita on statistical analysis of telephone call centre data.
Teaching Interests
My current teaching includes
MM111 Mathematics 1B
Teaches basic mathematics, foundations, calculus and complex numbers to engineering students.
MM114 Engineering Mathematics 2E
Teaches basic mathematics, calculus, geometry and vectors, matrices and numerical methods to engineering students.
MM118 Foundation Statistics.
Teaches basic statistics, data presentation, probability, hypothesis testing, confidence intervals, regression, correlation and association to bioscientists.
MM304 Inference and Regression Modelling.
Teaches statistical inference and advanced regression technques to mathematically based degree students.
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):
Education/Academic qualification
Doctor of Engineering, Stochastic Models for Control of Epidemics, University of Cambridge
Award Date: 1 Jan 1984
Master of Arts, University of Cambridge
Award Date: 1 Jan 1982
Master of Mathematics, University of Cambridge
Award Date: 1 Jan 1981
Bachelor of Arts, University of Cambridge
Award Date: 1 Jan 1980
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Collaborations and top research areas from the last five years
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Mathematically Modelling Dengue Vaccination
Greenhalgh, D. (Principal Investigator)
Project: Non-funded project
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Extension: Mathematical Modelling of a Novel Autodissemination Trap.
Greenhalgh, D. (Principal Investigator) & Megiddo, I. (Co-investigator)
1/04/19 → 31/07/19
Project: Internally funded project
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Combined impact of fear and Allee effect in predator-prey interaction models on their growth
Al Amri, K. A. N., Khan, Q. J. A. & Greenhalgh, D., 8 Oct 2024, In: Mathematical Biosciences and Engineering. 21, 10, p. 7211-7252 42 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile7 Downloads (Pure) -
Mathematical insight of methanol toxicity management using charcoal and folinic acid
Sardar, S., Roy, P. K., Kushary, S. & Greenhalgh, D., 3 Feb 2025, Mathematical Analysis and Applications in Biological Phenomena through Modelling: ICMAAM-2023, Kolkata, India, October 9–11. Kumar Roy, P., Cao, X., Li, X.-Z. & Bhattacharya, A. (eds.). Cham: Springer, 11 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book
Datasets
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A Stochastic Differential Equation Model for the Spread of HIV Amongst People Who Inject Drugs
Liang, Y. (Creator), Greenhalgh, D. (Creator) & Mao, X. (Creator), University of Strathclyde, 2015
DOI: 10.15129/bf5ba8b5-d484-43c7-8006-14fb76819be2
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Prizes
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Best Presentation at Conference Award
Greenhalgh, D. (Recipient), 21 Aug 2019
Prize: Prize (including medals and awards)
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British Malaysia Chamber of Commerce Business Excellence Awards, May 2022
Greenhalgh, D. (Recipient), 26 May 2022
Prize: Other distinction
Activities
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3rd International Conference on Mathematical Analysis and Applications in Modelling
Greenhalgh, D. (Keynote/plenary speaker)
5 Dec 2024 → 7 Dec 2024Activity: Participating in or organising an event types › Key-note speaker and plenary lectures at conferences
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Christopher Kribs
Greenhalgh, D. (Host)
7 Jul 2024 → 19 Jul 2024Activity: Hosting a visitor types › Hosting an academic visitor
Impacts
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Health and cost benefits of monitoring infectious diseases using novel statistical methods.
C. (Participant), Greenhalgh, D. (Participant), (Participant), McMenamin, J. (Participant), Simpson, C. R. (Participant) & Lone, N. (Participant)
Impact: Impact - for External Portal › Economic and commerce, Health and welfare - new products, guidelines and services
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