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
(2013)
We now know what fly photoreceptors compute
Guo Y
(2013)
Volterra Series Approximation of a Class of Nonlinear Dynamical Systems Using the Adomian Decomposition Method
in Nonlinear Dynamics
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
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
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
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
Li Y
(2011)
Time-varying model identification for time-frequency feature extraction from EEG data.
in Journal of neuroscience methods
Li Y
(2012)
Time-varying linear and nonlinear parametric model for Granger causality analysis.
in Physical review. E, Statistical, nonlinear, and soft matter physics
Guo L
(2013)
The use of Volterra series in the analysis of the nonlinear Schrödinger equation
in Nonlinear Dynamics
Kadirkamanathan V
(2012)
The neutrophil's eye-view: inference and visualisation of the chemoattractant field driving cell chemotaxis in vivo.
in PloS one
Akanyeti, O
(2011)
Studying robot environment interaction via transparent controllers
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
Song Z
(2012)
Stochastic, adaptive sampling of information by microvilli in fly photoreceptors.
in Current biology : CB
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
(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 L
(2014)
Spatial frequency range analysis for the nonlinear Schrödinger equation
in Nonlinear Dynamics
Genes C
(2019)
Robust Recovery of Missing Data in Electricity Distribution Systems
in IEEE Transactions on Smart Grid
Zhu Q
(2013)
Review of rational (total) nonlinear dynamic system modelling, identification, and control
in International Journal of Systems Science
Friederich U
(2012)
Reverse Engineering Gain Adaptation in Sensory 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
Vidal-Rosas E
(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
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
Tonge PD
(2010)
Prepatterning in the stem cell compartment.
in PloS one
Boynton R
(2015)
Online NARMAX model for electron fluxes at GEO
in Annales Geophysicae
Olariu V
(2010)
Modeling the evolution of culture-adapted human embryonic stem cells.
in Stem cell research
Wang S
(2013)
Model term selection for spatio-temporal system identification using mutual information
in International Journal of Systems Science
Li Y
(2011)
Identification of Time-Varying Systems Using Multi-Wavelet Basis Functions
in IEEE Transactions on Control Systems Technology
Zhao Y
(2012)
Identification of radius-vector functions of interface evolution for star-shaped crystal growth
in Mathematical and Computer Modelling of Dynamical Systems
Guo L
(2009)
Identification of partial differential equation models for a class of multiscale spatio-temporal dynamical systems
in International Journal of 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
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
Y Zhao (Author)
(2012)
Identification of hybrid Cellular Automata using image segmentation methods
in Journal of Cellular Automata
Zhao, Y
(2012)
Identification of hybrid Cellular Automata using image segmentation
in J Cellular Automata
Zhao Y
(2011)
Identification of geometrical models of interface evolution for dendritic crystal growth
in Physics Letters A
GUO Y
(2012)
IDENTIFICATION OF EXCITABLE MEDIA USING A SCALAR COUPLED MAP LATTICE MODEL
in International Journal of Bifurcation and Chaos
Guo Y
(2015)
Identification of continuous-time models for nonlinear dynamic systems from discrete data
in International Journal of Systems Science
ZHAO Y
(2012)
IDENTIFICATION OF A TEMPERATURE DEPENDENT FITZHUGH-NAGUMO MODEL FOR THE BELOUSOV-ZHABOTINSKII REACTION
in International Journal of Bifurcation and Chaos
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
Friederich, U
(2011)
General processing strategies within the fly early visual system
Wei H
(2011)
Forecasting relativistic electron flux using dynamic multiple regression models
in Annales Geophysicae
Tan L
(2018)
Ecological network analysis on intra-city metabolism of functional urban areas in England and Wales
in Resources, Conservation and Recycling
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
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 | 06/2012 |
End | 06/2015 |