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Personal profile

Research interests

I am an applied mathematician developing and analysing mathematical models to address problems arising in the healthcare arena. Specifically, my current research focusses in two areas: control of infectious diseases; and drug monitoring and delivery particularly across the skin barrier. 

The role of mathematical modelling to explore infectious disease control is well-established and involves a wide range of modelling approaches. My particular interest is to explore the potential for classic techniques such as optimal control and feedback control to contribute to the literature in this field. My goal is to find an approach to control that might be easily translated into practice and that might result in clearly defined outcomes in terms of the levels of infection post control intervention. Most of my work is based on underlying deterministic infectious disease processes although I have also undertaken some work that is based upon stochastic and network models. 

 

My work on drug monitoring and delivery focuses on drugs that are delivered or monitored across the skin.  The challenge here is to work out how the drug molecules might partition and move through the skin barrier that is highly heterogeneous in nature. Here I work with systems of reaction diffusion advection equations for which parameter estimates can be made using the empirical studies of my collaborators working in the Department of Pharmacy & Pharmacology. The resulting mechanistic models diverge from classical pharmacokinetic (PK) models of drug delivery but are of increasing interest to colleagues working in the Pharmaceutical industries who are aware of the limitations of a purely PK approach. Linked to this activity, I am a member of the UK network for Quantitative Systems Pharmacology.

I am the founding director of MASH (http://www.bath.ac.uk/study/mash), the institutional mathematics resources centre that offers a wide range of activities to support the  mathematical and statistical needs of all members of the university. 

I am a member of the departmental executive in my role as Director of Learning & Teaching, and I am a member of Senate. My interest in teaching and learning extends beyond the University of Bath and I am currently a member of the London Mathematical Society Education Committee. 

 

 

Willing to supervise PhD

Mechanistic mathematical models for drug delivery and monitoring.

Control of infectious diseases.

External positions

External Examiner UG Mathematics Penrhyn Campus, University of Exeter

Sep 2017Jul 2020

Holgate Lecturer, London Mathematical Society

Sep 2015Jun 2017

Mathematics Subject Expert, Skills Testing Agency

Jun 2015Jun 2016

Education committee member, London Mathematical Society

Sep 2014 → …

External Examiner UG Mathematics, University of Ulster

Sep 2013Jul 2016

Outer Circle Member, Advisory Committee on Mathematics Education

Jan 2013Dec 2016

Vice-Chair, Loughborough University

Sep 2012Aug 2013

External Examiner UG Mathematics Modules, University of Cumbria

Sep 2006Jul 2009

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

wolves Agriculture & Biology
Vaccination Mathematics
Optimal Control Mathematics
Infection Mathematics
Virus Mathematics
Theoretical Models Medicine & Life Sciences
Papillomaviridae Medicine & Life Sciences
Drugs Mathematics

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Projects 2007 2016

Research Output 1995 2017

Retrospective Drug Testing: Can the Skin Provide a Record of Drug Taking History?

Jones, J. Jan 2017 175 p.

Research output: ThesisDoctoral Thesis

Open Access
File
Skin
Pharmaceutical Preparations
Drug Monitoring
Patient Compliance
Compliance
1 Citations

A mechanistic approach to modelling the formation of a drug reservoir in the skin

Jones, J. G., White, K. A. J. & Delgado-Charro, M. B. Nov 2016 In : Mathematical Biosciences. 281, p. 36-45 10 p.

Research output: Contribution to journalArticle

Open Access
File
Skin
Drugs
drugs
Modeling
Pharmaceutical Preparations
File
Phenylalanine
Skin
Blood
Amino Acids
Monitoring
3 Citations

Optimal control of integrodifference equations in a pest-pathogen system

Martinez, M. V., Lenhart, S. & White, K. A. J. Aug 2015 In : Discrete and Continuous Dynamical Systems - Series B. 20, 6, p. 1759-1783 25 p.

Research output: Contribution to journalArticle

Open Access
Integrodifference Equations
Pathogens
Optimal Control
Costs
Sweep
2 Citations
Chlamydia Infections
Chlamydia
Infection
Optimal Control
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