Mathematical Modelling

Textures in a mesoscopic system made of a nematic liquid crystal doped with nanoparticles.

The modelling group focuses on mathematical modelling across science and engineering, including physics (from the physics of quanta and strings to that of liquid crystals), chemistry (modelling lithium-ion batteries and solar cells), engineering (controlling sound direction), biology, medicine and healthcare (from stem cell population dynamics to medical imaging and healthcare models).

About

The underlying theme of the group is the application of rigorous mathematical models to quantitatively analyse and understand in depth problems in science and engineering. We have a wide range of mathematical expertise and techniques in modelling, from partial differential equations, to agent modelling, dynamical systems, or topological methods. Often, the research take place in close interdisciplinary collaborations. As an example, we have developed a very successful model of lithium-ion batteries by combining classical differential equation modelling with asymptotic analysis and state of the art coding to produce a software package that is both fast and comprehensive. Other examples are the application of asymptotic analysis in controlling aircraft sounds, stochastic methods in modelling gene expression and agent-based techniques in healthcare. We apply topological data analysis to model phase transitions of mesoscopic physical systems, and to enhance and up-scale optical imaging in medical applications, as precursors to efficient machine learning and data analysis.

People, projects, publications and PhDs

People

Research projects

Publications

PhD opportunities

People

Professor Benjamin Macarthur

Personal Chair

Accepting applications from PhD students

Connect with Benjamin

Email: bdm@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

ORCID

Doctor Carlos Lobo

Associate Professor

Accepting applications from PhD students

Connect with Carlos

Email: c.lobo@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

ORCID

Twitter

Professor Christopher Howls

Professor of Mathematics

Accepting applications from PhD students

Connect with Christopher

Email: c.j.howls@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

ORCID

Doctor Gaurav Singh

Research Fellow

Connect with Gaurav

Email: gaurav.singh@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

Google Scholar

ORCID

Professor Giampaolo D'Alessandro

Professor

Connect with Giampaolo

Email: dales@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

ORCID

Professor Giles Richardson

Professor

Accepting applications from PhD students

Connect with Giles

Email: g.richardson@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

Google Scholar

ORCID

Doctor Ines Aniceto

Senior Research Fellow

Accepting applications from PhD students

Connect with Ines

Email: i.aniceto@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

ORCID

Doctor Ivan Korotkin

Senior Research Assistant

Connect with Ivan

Email: i.korotkin@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

Google Scholar

ORCID

Ms Mozhdeh Shiranirad

Research Fellow in Machine Learning

Connect with Mozhdeh

Email: m.shiranirad@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

Doctor Philip Greulich

Lecturer

Accepting applications from PhD students

Connect with Philip

Email: p.s.greulich@soton.ac.uk

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)

ORCID

Mathematical modelling allows you to see the world as an interconnected whole, with causes and effects, so that we can fulfil knowledgeably our responsibility to sustain it.

Professor Giampaolo D'Alessandro

Professor

Related research institutes, centres and groups

Applied Mathematics and Theoretical Physics

We focus on mathematical modelling and mathematical physics, and investigate everything from neutron stars to superfluids.

Gravity

Research conducted by the Southampton Gravity group focuses on gravitational waves, general relativistic spacetimes around black holes, and the properties of ultra-dense matter in neutron stars, such as superfluidity and superconductivity of nuclear and quark matter.

String theory and holography

The group works on all aspects of fundamental physics - string theory; quantum field theory; applications to gravity, black holes, cosmology, particle physics, condensed matter and quantum information.