Spatio-Temporal Systems Estimation, Modelling and Analysis
Lead Research Organisation:
University of Sheffield
Department Name: Automatic Control and Systems Eng
Abstract
Systems where the dynamics at any point depends upon the dynamics back in time and the dynamics at neighbouring spatial locations are ubiquitous. These space-time or spatio-temporal systems represent an enormous class of highly complex dynamical systems that have been largely ignored in studies to date. It is the spatial interactions over a neighbourhood of influence that together with the temporal dynamics combine to produce evolving patterns of complex interacting behaviours. Real life examples of spatio-temporal systems are easy to find and range from neuro-imaging applications to stem cells and reaction diffusion systems. The main objective of this research study will be to derive generic systems identification and parameter estimation based procedures to identify models of these complex systems, to develop model validation methods for this model class, to investigate characterisation based on invariant dynamic measures, and to apply the results to a range of both simulated and real spatio-temporal systems.
Organisations
Publications
Friederich U
(2012)
Reverse Engineering Gain Adaptation in Sensory Systems
Krishnanathan K
(2012)
A data-driven framework for identifying nonlinear dynamic models of genetic parts.
in ACS synthetic biology
Zhao Y
(2012)
Tracking time-varying causality and directionality of information flow using an error reduction ratio test with applications to electroencephalography data.
in Physical review. E, Statistical, nonlinear, and soft matter physics
GUO Y
(2012)
IDENTIFICATION OF EXCITABLE MEDIA USING A SCALAR COUPLED MAP LATTICE MODEL
in International Journal of Bifurcation and Chaos
GUO Y
(2012)
A SIMPLE SCALAR COUPLED MAP LATTICE MODEL FOR EXCITABLE MEDIA
in International Journal of Bifurcation and Chaos
Zhao Y
(2012)
Identification of radius-vector functions of interface evolution for star-shaped crystal growth
in Mathematical and Computer Modelling of Dynamical Systems
Holmes GR
(2012)
Drift-Diffusion Analysis of Neutrophil Migration during Inflammation Resolution in a Zebrafish Model.
in Advances in hematology
Holmes GR
(2012)
Repelled from the wound, or randomly dispersed? Reverse migration behaviour of neutrophils characterized by dynamic modelling.
in Journal of the Royal Society, Interface
Li Y
(2012)
Time-varying linear and nonlinear parametric model for Granger causality analysis.
in Physical review. E, Statistical, nonlinear, and soft matter physics
| Description | Developed new theories, methods and algorithms to analyze, model, simulate and control complex spatio-temporal systems |
| Exploitation Route | Applications range from modelling crystal growth, to space weather forecasting and flow control |
| Sectors | Agriculture Food and Drink Chemicals Communities and Social Services/Policy Environment Healthcare |
| Description | By medics in treating epilepsy and deep brain stimulation. Space weather forecasting models - Real time forecast of the >800 keV electron flux at geosynchronous orbit |
| First Year Of Impact | 2015 |
| Sector | Chemicals,Environment,Healthcare,Pharmaceuticals and Medical Biotechnology |
| Impact Types | Societal |