Spatio-Temporal Systems Estimation, Modelling and Analysis
Lead Research Organisation:
University of Sheffield
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
Yifan Zhao
(2013)
A Parametric Method to Measure Time-Varying Linear and Nonlinear Causality With Applications to EEG Data
in IEEE Transactions on Biomedical Engineering
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
Y Zhao (Author)
(2012)
Identification of hybrid Cellular Automata using image segmentation methods
in Journal of Cellular Automata
Zhao, Y
(2012)
Application of totalistic Cellular Automata for noise filtering in image processing
in J Cellular Automata
Holmes G
(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
Guo L
(2012)
A Volterra series approach to the frequency domain analysis of non-linear viscous Burgers' equation
in Nonlinear Dynamics
Li Y
(2012)
Time-varying linear and nonlinear parametric model for Granger causality analysis.
in Physical review. E, Statistical, nonlinear, and soft matter physics
Zheng Y
(2012)
Balanced excitation and inhibition: model based analysis of local field potentials.
in NeuroImage
ZHAO Y
(2012)
IDENTIFICATION OF A TEMPERATURE DEPENDENT FITZHUGH-NAGUMO MODEL FOR THE BELOUSOV-ZHABOTINSKII REACTION
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
GUO Y
(2012)
IDENTIFICATION OF EXCITABLE MEDIA USING A SCALAR COUPLED MAP LATTICE MODEL
in International Journal of Bifurcation and Chaos
Krishnanathan K
(2012)
A data-driven framework for identifying nonlinear dynamic models of genetic parts.
in ACS synthetic biology
Zhao Y
(2012)
Identification of radius-vector functions of interface evolution for star-shaped crystal growth
in Mathematical and Computer Modelling of Dynamical Systems
Y Zhao (Author)
(2012)
Application of totalistic Cellular Automata for noise filtering in image processing
in Journal of Cellular Automata
Friederich U
(2012)
Reverse Engineering Gain Adaptation in Sensory Systems
Zhao Y
(2012)
A New Adaptive Fast Cellular Automaton Neighborhood Detection and Rule Identification Algorithm.
in IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society
Zhao, Y
(2012)
Identification of hybrid Cellular Automata using image segmentation
in J Cellular Automata
Kadirkamanathan V
(2012)
The neutrophil's eye-view: inference and visualisation of the chemoattractant field driving cell chemotaxis in vivo.
in PloS one
GUO Y
(2012)
CHARACTERIZING NONLINEAR SPATIO-TEMPORAL SYSTEMS IN THE FREQUENCY DOMAIN
in International Journal of Bifurcation and Chaos
Song Z
(2012)
Stochastic, adaptive sampling of information by microvilli in fly photoreceptors.
in Current biology : CB
Li Y
(2011)
Time-varying model identification for time-frequency feature extraction from EEG data.
in Journal of neuroscience methods
Akanyeti, O
(2011)
Studying robot environment interaction via transparent controllers
| 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 |