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
(2014)
Spatial frequency range analysis for the nonlinear Schrödinger equation
in Nonlinear Dynamics
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
Li Y
(2012)
Time-varying linear and nonlinear parametric model for Granger causality analysis.
in Physical review. E, Statistical, nonlinear, and soft matter physics
Zhao Y
(2011)
Identification of geometrical models of interface evolution for dendritic crystal growth
in Physics Letters A
Kadirkamanathan V
(2012)
The neutrophil's eye-view: inference and visualisation of the chemoattractant field driving cell chemotaxis in vivo.
in PloS one
Tonge PD
(2010)
Prepatterning in the stem cell compartment.
in PloS one
Tan L
(2018)
Ecological network analysis on intra-city metabolism of functional urban areas in England and Wales
in Resources, Conservation and Recycling
Olariu V
(2010)
Modeling the evolution of culture-adapted human embryonic stem cells.
in Stem cell research
Guo L
(2013)
A Volterra series representation for a class of nonlinear infinite dimensional systems with periodic boundary conditions
in Systems & Control Letters
Friederich U
(2012)
Reverse Engineering Gain Adaptation in Sensory Systems
Friederich, U
(2011)
General processing strategies within the fly early visual system
Friederich, U
(2013)
We now know what fly photoreceptors compute
Billings, SA
(2011)
A time varying model for EEG Granger causality model
| 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 |