# Professor Nigel Mottram

**Professor**(Mathematics)

## Research interests

### Research Interests

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.

Current projects also include investigations of active fluids, such as bacterium or micro-organism organisation within fluid flows, and biological flow systems, and more generally in the areas of medical and biological 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 projects available and prospective applicants should email me at nigel.mottram@glasgow.ac.uk.

Typical project areas include the following:

- 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

#### Research Groups

- Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
- Continuum Mechanics - Modelling and Analysis of Material Systems
- Mathematical Biology

## Grants

**2020-2023** - EPSRC grant EP/T012501/1: **Control of free-surface flow morphologies in anisotropic liquids**

with Profs Stephen Wilson (Strathclyde) and Carl Brown (Nottingham Trent)

Project Partners: e-Vision Smart Optics; FlexEnable Limited; Merck KGaA; OpSec Security Ltd

## Teaching

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.

School of Mathematics and Statistics, Glasgow, G12 8QQ