Projects per year
My research interests are in the mathematical modelling of real-world systems, generally focussing on those that include the dynamics of non-Newtonian fluids. I am particularly interested in anisotropic fluids such as liquid crystals, where viscoelasticity is an important consideration, as is their behaviour under electric fields. I also have projects in the areas of medical and biological systems. Current projects also include investigations of active fluids, such as bacterium or micro-organism organisation within fluid flows, and biological flow systems.
In a wider context I am a member of the British Liquid Crystal Society, the Edinburgh Mathematical Society, and a Fellow of the Institute for Mathematics and its Applications, as well as an active participant in the European Consortium for Mathematics in Industry and the UK Fluids Network.
I am interested in mathematics applied to real-world problems in a general sense and I welcome enquiries from anyone interested to understand more about mathematical modelling.
I currently have PhD, MRes and MPhil projects available and prospective applicants should email me at email@example.com.
I have previously taken the roles of Director of Research, REF coordinator, Deputy Head of Department, and acting Head of Department. These roles involved strategic leadership and development, staff review, as well as oversight of all academic and teaching matters, including undergraduate and masters course development, awards and appeals matters.
Over the last few years I have become increasingly interested in the effects of online teaching methods for mathematics, including the use of lecture capture. I have developed online resources that can enhance standard lecture classes, but I have also created a number of completely online maths modules, designed for distance learning and to assist in widening participation, particularly through the Graduate Apprenticeship programme.
Continuum theory of anisotropic materials
- Anisotropy in the natural environment: swimming/self-organised organisms, tissue growth, mixing
- Order parameter changes in nematic liquid crystals: defects, field induced changes, Q tensor theory.
- Theories of biaxial nematic liquid crytals
- Surface effects: induced order, bistabilty in anisotropic fluids.
- Disclination line motion: annihilation, formation, effects of electric field and surface interactions.
- Thin films: flow in thin films of anisotropic fluids, painting and spin-coating.
- Use of fractional calculus to represent memory in dynamical systems.
- Physiologically-based Pharmacokinetics and dynamics
- Blood flow: non-newtonian models of blood flow in microfluidic devices.
- Oxygen transfer: novel medical device modelling for artificial livers.
- I collaborate with scientists from many different disciplines and many countries around the world.
- My industrial collaborations currently include GSK, Merck and Kirkstall and past collaborators include HP, Sharp, Dow Corning.
I teach, or have taught, various courses - at undergraduate, masters and postgraduate level, and to mathematicians, phsyicists, engineers, chemists and environmental scientists.
Over the last few years I have become increasingly interested in the effects of online teaching methods in mathematics, including the use of lecture capture. I have developed online resources that can enhance standard lecture classes, but I have also created a number of completely online maths modules, designed for distance learning and to assist in widening participation, particularly through the Graduate Apprenticeship programme.
Current PhD students:
- Areej Abdullah Almuneef
- Zuhur Moraya Alqahtani
- Josh Walton
- Pretheepan Radhakrishnan
- Joseph Cousins
- Magdalena Lesniewska
- John Barrett
- Erika Allen
- MM512: Optimisation: Theory and Practice
- MM401: Communicating Mathematics and Statistics
- MM301: Linear Algebra
- EO001: Mathematics for University Enginnering (online distance learning class)
- EO101 and EO109: Mathematical Tools (online distance learning class)
- MM405: Fluids and Waves
- MA409: Calculus of Variations
- MM311: Mathematics for Physicists
- MM202: Advanced Calculus
- MM201: Linear Algebra and Differential Equations
- ME209: Mathematical Modelling & Analysis for Mechanical Engineers
- MM101: Introduction to Calculus
- MM112/113: Engineering Mathematics
- MM116: Mathematics for Chemists
- CPD: Ordinary Differential Equations for NERC PhD students
- MSc: Displaymasters
Academic / Professional qualifications
- 1989-1992: BA in Mathematics at the University of Oxford (Keble College).
- 1992-1996: PhD in the Department of Engineering Mathematics at the University of Bristol. Boundary effects in nematic liquid crystal cells, supervised by
- 1995-1997: Post Doctoral Research Assistant in the Department of Engineering Mathematics at the University of Bristol. Working on nematic liquid crystal theory with Prof. Hogan.
- 1997-1999: Post Doctoral Research Assistant in the Department of Engineering Science at the University of Oxford. Working on smectic liquid crystal theory with .
- 1999-2004: Lecturer in the Department of Mathematics at the University of Strathclyde.
- 2001-2006: EPSRC Advanced Research Fellow
- 2004-2007: Reader in the Department of Mathematics at the University of Strathclyde.
- 2007-present: Professor in the Department of Mathematics and Statistics at the University of Strathclyde.
Expertise & Capabilities
Research areas of expertise
- Mathematical modelling of real-world systems
- Fluid dynamics
- Liquid crystal theory
- Optical devices
- Multiphyscics models
- Numerical simulation of fluids, electrostatics, ions.
- liquid crystals
- anisotropic material science
- mathematical modelling
- environmental modelling
- active fluids
1/12/19 → 31/05/23
1/10/19 → 1/10/22
Project: Research Studentship - Internally Allocated
Research Output per year
Derivative-order-dependent stability and transient behaviour in a predator-prey system of fractional differential equationsAlqahtani, Z. M., El-Shahed, M. & Mottram, N. J., 11 Dec 2019, In : Letters in Biomathematics. 6, 1, p. 32-49 18 p.
Research output: Contribution to journal › Article
Research output: Contribution to journal › Article
Experimental data for dynamic response of a thin sessile drop of conductive liquid to an applied voltage
Analytic solutions of a simple advection-diusion model of an oxygen transfer device: experimental data
Dougall, E. (Creator), University of Strathclyde, 12 Apr 2016
Theoretical studies of smectic liquid crystals in the presence of flow, oscillatory perturbations, and edge dislocationsAuthor: Snow, B. C., 1 Oct 2015
Student thesis: Doctoral Thesis
Activities per year
Activity: Membership types › Membership of committee
Activity: Participating in or organising an event types › Key-note speaker and plenary lectures at conferences