We have significant research strength in modelling and simulation aimed at better understanding disease, exploring numerical analysis and scientific computing and for testing the designs of products for industry.
Modelling Disease and Medicines
Scientists work on a wide range of theoretical and applied research in the modelling and simulation of diseases and medicines. In the Department of Physics, work focuses on mathematical models designed to improve understanding of disease processes and treatment. Current research in the Department of Statistics concentrates on developing statistical models for the link between how well patients respond in clinical trials, and patients' decisions to enter studies, to provide better information on treatments and side effects. Researchers also collaborate in the design and running of clinical trials, for example to assess the clinical and cost effectiveness of four different. The Warwick Mathematics Institute has an active and growing area of research in mathematical biology concentrating on mathematical immunology, epidemiology, ecology and genetics, while the Ecology and Epidemiology Group, in the School of Life Sciences, specialises in mathematical modelling. The Systems Modelling and Simulation Group in the Electrical and Electornic Division of the School of Engineering carries out research into the control, identification, modelling and simulation of biomedical and biological systems.
Interdisciplinary research in this area is institutionalised in the Warwick Systems Biology Centre (WSBC) and the Interdisciplinary Programme for Cellular Regulation (IPCR). Research at the WSBC is designed to extend understanding of biological systems through the mathematical and computational modelling of the interactions of components of the system. Meanwhile, the IPCR brings together mathematicians, physicists, statisticians, biologists and medical researchers to understand the regulation and coordination of cellular systems using mathematical and statistical analysis, modelling and computation.
The Department of Psychology has particular strengths in cognitive and experimental psychology, in the areas of memory, reasoning, categorization, ageing, vision and attention, normal and disturbed reading and spelling, speech, and in the application of mathematical models to these areas.
Modelling in the Mathematical Sciences
The Department of Statistics is a leading UK centre for the development of statistical methodology. It hosts the Centre for Research in Statistical Methodology and works with the National Centre for Research Methods. Departmental research includes the development of new methodology for the meta analysis of larger contingency tables, particularly Kx2 tables, in which are used models for the selective reporting of subgroups. Researchers also investigate the use of flexible distributions for modelling longitudinal data using Bayesian methods to deal with model uncertainty and they carry out high level Bayesian analysis of spatial and image analysis, requiring sophisticated prior models from stochastic geometry.
Research in computationally-based mathematics is a strong feature of the Warwick Mathematics Institute. There are active research programmes in numerical analysis and scientific computing, together with links to other computational endeavours within the Institute and throughout the University. Other significant areas of research are in the Turbulence Group, where work covers fundamental properties such as the strongly non-equilibrium spectral cascades, intermittency and formation of singularities, and dynamical systems, where there is a strong research group in dynamical systems working in 1-dimensional real and complex dynamics. Our experts are also involved in two major research networks in this field. We lead the EPSRC-funded research network in Computation and Numerical Analysis for Multiscale and Multiphysics Modelling, which works in the areas of phase field and diffuse interface models, polymeric fluids and connecting microscopic and continuum models in computations, and, along with colleagues at Oxford, we form the UK group of the Multiscale Modelling and Characterization for Phase Transitions of Advanced Materials (MULTIMAT), an EU-funded network.
The Department of Computer Science has significant expertise across the range of its research activity with particular focus on the development of models and mechanisms in agent-based systems, Markov-chain simulation, empirical modelling – involving the is the use of observation and experiment in building computer-based construals to embody emergent patterns of observables, dependency and agency, statistical modelling of such signal features in image processing, and verification and model checking.
Modelling for Knowledge Transfer
Significant research is carried out in the School of Engineering. In Civil and Mechanical Engineering, the Fluid Dynamics Research Centre works in the areas of industrial computational fluid dynamics, including the development of CFD algorithms, and flow instability experiments and modelling. In the Electrical and Electronic Division, the Systems Modelling and Simulation Group researches into the control, identification, modelling and simulation of a wide variety of systems, ranging from automotive systems to electric power systems and safety critical and high integrity systems. Also, the Ultrasonics Group carries out multi-disciplinary research both in the design and characterisation of novel ultrasonic transducer systems along with the practical application of the technology. Current active areas of interest include micro-machined devices, focussed air-coupled transducers, transducer arrays, food packaging, Gas jets and the theoretical modelling of device behaviour. The Warwick Manufacturing Group has a wide range of specialists including engineers, physical scientists, materials scientists, mathematicians, designers, IT specialists, social scientists, economists and knowledge transfer experts. Expertise and advanced facilities enable technological research related to manufacturing product and process improvement and related design and IT implementation; particular strengths are CAD, CAM, CIM, PDM, IT and communications tools for integration across supply chains, rapid prototyping and tooling, polymer processing and robotics and automation. Its Simulation Centre researches, develops and applies emerging modelling and process analysis methodologies and tools, including enterprise information systems and visualisation.
The Software Development team at Warwick Crop Centre, our leading horticultural research department, is actively engaged in designing products for business. It has developed a wide range of weather-based simulation models to predict the timing of pest and disease outbreaks, the growth and maturity of crops, the germination and emergence of crop and weed seedlings, and the utilisation of nutrients by crops. It is now working on a framework for the delivery of predictive simulation models to the horticultural industry. Also at Warwick Crop Centre, scientists take a multi-disciplinary approach to research into ecology and the environment placing a strong emphasis on modelling and other mathematical approaches.
Theoretical Modelling and Simulation
In the Department of Chemistry, the Theory and Computation Group develops and applies methods for the calculation of the properties and reactivities of matter and also works on the development and application of computational techniques in Transition Metal (TM) chemistry. Density Functional Theory (DFT) has revolutionised the quantum mechanical treatment of TM systems. The Group’s research is dedicated to overcoming the length of time DFT calculations on large systems take and it is developing classical simulation methods based on its unique Ligand Field extension of classical Molecular Mechanics. In the field of theoretical chemistry, research is directed towards the development and application of theoretical tools to study chemical systems, in particular, chemistry at the organic-inorganic interface especially the pursuit of novel methods for simulation of polymer melts at surfaces. The Group also works on molecular simulation, where research centres on understanding phenomena that occur in liquids, solids or at interfaces using methods based on classical simulation techniques such as molecular dynamics and Monte Carlo. The Group has a strong interest in both developing the methods and applying them to chemical problems. In the area of chemical biology, researchers use a variety of chemical, biological and -computational techniques including molecular modelling to investigate the biosynthetic pathways to a wide range of bioactive natural products.
Our researchers in the Department of Statistics study the methods of meta analysis which are widely used in systematic reviews of empirical research studies. Their work focuses on the challenging statistical problems raised by the application of these methodologies, including issues of missing data, selection bias and confounding. The aim of the research is to develop new statistical theory and methods to tackle these problems, with particular emphasis on questions of heterogeneity and publication bias.
The Department of Physics has a large grouping of theoretical and computational physicists working closely with the Warwick multidisciplinary Centre for Scientific Computing. Current work focuses on understanding fundamental aspects of challenging systems such as interacting electrons, quantum models of matter and applications in magnetism, alloys and surfaces, solid state spectroscopy, quantum transport and dynamics, molecular simulation, soft condensed matter and biological physics, non-linear phenomena and self-organisation, plasma dynamics, and radiative transport and fusion.