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.
Publications
Krishnanathan K
(2012)
A data-driven framework for identifying nonlinear dynamic models of genetic parts.
in ACS synthetic biology
Holmes GR
(2012)
Drift-Diffusion Analysis of Neutrophil Migration during Inflammation Resolution in a Zebrafish Model.
in Advances in hematology
Boynton R
(2011)
Data derived NARMAX Dst model
in Annales Geophysicae
Wei H
(2011)
Forecasting relativistic electron flux using dynamic multiple regression models
in Annales Geophysicae
Boynton R
(2015)
Online NARMAX model for electron fluxes at GEO
in Annales Geophysicae
Munir S
(2019)
Structuring an integrated air quality monitoring network in large urban areas - Discussing the purpose, criteria and deployment strategy
in Atmospheric Environment: X
Sarrigiannis PG
(2014)
Quantitative EEG analysis using error reduction ratio-causality test; validation on simulated and real EEG data.
in Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology
Song Z
(2012)
Stochastic, adaptive sampling of information by microvilli in fly photoreceptors.
in Current biology : CB
Munir S
(2019)
Analysing the performance of low-cost air quality sensors, their drivers, relative benefits and calibration in cities-a case study in Sheffield.
in Environmental monitoring and assessment
Balikhin M
(2010)
Data based quest for solar wind-magnetosphere coupling function COUPLING
in Geophysical Research Letters
Balikhin M
(2011)
Using the NARMAX approach to model the evolution of energetic electrons fluxes at geostationary orbit NARMAX MODELLING OF RADIATION BELT ELECTRON FLUXES
in Geophysical Research Letters
He F
(2014)
A nonlinear generalization of spectral Granger causality.
in IEEE transactions on bio-medical engineering
He F
(2013)
Spectral analysis for nonstationary and nonlinear systems: a discrete-time-model-based approach.
in IEEE transactions on bio-medical engineering
Zhao Y
(2013)
A parametric method to measure time-varying linear and nonlinear causality with applications to EEG data.
in IEEE transactions on bio-medical engineering
Li Y
(2011)
Identification of Time-Varying Systems Using Multi-Wavelet Basis Functions
in IEEE Transactions on Control Systems Technology
Genes C
(2019)
Robust Recovery of Missing Data in Electricity Distribution Systems
in IEEE Transactions on Smart Grid
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 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 L
(2014)
A Spatial Frequency Domain Analysis of the Belousov-Zhabotinsky Reaction
in International Journal of Bifurcation and Chaos
ZHAO Y
(2011)
SPATIO-TEMPORAL MODELING OF WAVE FORMATION IN AN EXCITABLE CHEMICAL MEDIUM BASED ON A REVISED FITZHUGH-NAGUMO MODEL
in International Journal of Bifurcation and Chaos
GUO Y
(2012)
CHARACTERIZING NONLINEAR SPATIO-TEMPORAL SYSTEMS IN THE FREQUENCY DOMAIN
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
Wei H
(2010)
Time-varying parametric modelling and time-dependent spectral characterisation with applications to EEG signals using multiwavelets
in International Journal of Modelling, Identification and Control
Billings S
(2015)
Identification of nonlinear systems with non-persistent excitation using an iterative forward orthogonal least squares regression Algorithm
in International Journal of Modelling, Identification and Control
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 L
(2011)
Bayesian identification of stochastic linear systems with observations at multiple scales
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
Wang S
(2013)
Model term selection for spatio-temporal system identification using mutual information
in International Journal of Systems Science
Guo Y
(2014)
An iterative orthogonal forward regression algorithm
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
Guo Y
(2015)
Identification of continuous-time models for nonlinear dynamic systems from discrete data
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
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
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
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
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
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
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
Zhao Y
(2012)
Identification of radius-vector functions of interface evolution for star-shaped crystal growth
in Mathematical and Computer Modelling of Dynamical Systems
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
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
Guo Y
(2013)
Volterra Series Approximation of a Class of Nonlinear Dynamical Systems Using the Adomian Decomposition Method
in Nonlinear Dynamics
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 L
(2013)
The use of Volterra series in the analysis of the nonlinear Schrödinger equation
in Nonlinear Dynamics
| 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 |