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
Guo L
(2012)
A Volterra series approach to the frequency domain analysis of non-linear viscous Burgers' equation
in Nonlinear Dynamics
Guo L
(2014)
Spatial frequency range analysis for the nonlinear Schrödinger equation
in Nonlinear Dynamics
Guo Y
(2013)
Volterra Series Approximation of a Class of Nonlinear Dynamical Systems Using the Adomian Decomposition Method
in Nonlinear Dynamics
Guo L
(2013)
The use of Volterra series in the analysis of the nonlinear Schrödinger equation
in Nonlinear Dynamics
Zheng Y
(2012)
Balanced excitation and inhibition: model based analysis of local field potentials.
in NeuroImage
Zheng Y
(2010)
A dynamic model of neurovascular coupling: implications for blood vessel dilation and constriction.
in NeuroImage
Wei HL
(2010)
An adaptive wavelet neural network for spatio-temporal system identification.
in Neural networks : the official journal of the International Neural Network Society
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)
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
(2011)
Time-varying model identification for time-frequency feature extraction from EEG data.
in Journal of neuroscience methods
Zhao Y
(2013)
A new NARX-based Granger linear and nonlinear casual influence detection method with applications to EEG data.
in Journal of neuroscience methods
Boynton R
(2011)
Using the NARMAX OLS-ERR algorithm to obtain the most influential coupling functions that affect the evolution of the magnetosphere DATA-DEDUCED COUPLING FUNCTIONS
in Journal of Geophysical Research: Space Physics
Y Zhao (Author)
(2012)
Identification of hybrid Cellular Automata using image segmentation methods
in Journal of Cellular Automata
Y Zhao (Author)
(2012)
Application of totalistic Cellular Automata for noise filtering in image processing
in Journal of Cellular Automata
Vidal-Rosas EE
(2014)
Reduced-order modeling of light transport in tissue for real-time monitoring of brain hemodynamics using diffuse optical tomography.
in Journal of biomedical optics
Zhao, Y
(2012)
Identification of hybrid Cellular Automata using image segmentation
in J Cellular Automata
Zhao, Y
(2012)
Application of totalistic Cellular Automata for noise filtering in image processing
in J Cellular Automata
Li Y
(2015)
Identification of nonlinear time-varying systems using an online sliding-window and common model structure selection (CMSS) approach with applications to EEG
in International Journal of Systems Science
Guo Y
(2014)
An iterative orthogonal forward regression algorithm
in International Journal of Systems Science
Zhu Q
(2013)
Review of rational (total) nonlinear dynamic system modelling, identification, and control
in International Journal of Systems Science
Guo L
(2011)
Bayesian identification of stochastic linear systems with observations at multiple scales
in International Journal of Systems Science
Guo Y
(2013)
A parametric frequency response method for non-linear time-varying systems
in International Journal of Systems Science
He F
(2013)
Identification and frequency domain analysis of non-stationary and nonlinear systems using time-varying NARMAX models
in International Journal of Systems Science
Guo Y
(2015)
Identification of continuous-time models for nonlinear dynamic systems from discrete data
in International Journal of Systems Science
| 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 |
| Description | Program Grant |
| Amount | $900,000 (USD) |
| Funding ID | RGP0001/2012 |
| Organisation | Human Frontier Science Program (HFSP) |
| Sector | Charity/Non Profit |
| Country | France |
| Start | 05/2012 |
| End | 06/2015 |