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- David T J Liley, Peter J Cadusch, Mathew P Dafilis
- Network
- 2002

A set of nonlinear continuum field equations is presented which describes the dynamics of neural activity in cortex. These take into account the most pertinent anatomical and physiological features found in cortex with all parameter values obtainable from independent experiment. Derivation of a white noise fluctuation spectrum from a linearized set of… (More)

- David T. J. Liley
- Int. J. Neural Syst.
- 2000

- I Bojak, D T J Liley
- Physical review. E, Statistical, nonlinear, and…
- 2005

Changes to the electroencephalogram (EEG) observed during general anesthesia are modeled with a physiological mean field theory of electrocortical activity. To this end a parametrization of the postsynaptic impulse response is introduced which takes into account pharmacological effects of anesthetic agents on neuronal ligand-gated ionic channels. Parameter… (More)

- D T J Liley, I Bojak
- Journal of clinical neurophysiology : official…
- 2005

A central difficulty in modeling epileptogenesis using biologically plausible computational and mathematical models is not the production of activity characteristic of a seizure, but rather producing it in response to specific and quantifiable physiologic change or pathologic abnormality. This is particularly problematic when it is considered that the… (More)

- David T. J. Liley, Peter J. Cadusch, James J. Wright
- Neurocomputing
- 1999

A set of non-linear continuum field equations are presented which describe the macroscopic dynamics of neural activity in cortex. Numerical solutions of the coupled non-linear system of partial differential equations show properties analogous to cortical evoked potentials, oscillations at the frequency of the mammalian alpha rhythm and non-stationary… (More)

- S Coombes, N A Venkov, L Shiau, I Bojak, D T J Liley, C R Laing
- Physical review. E, Statistical, nonlinear, and…
- 2007

Neural field models of firing rate activity typically take the form of integral equations with space-dependent axonal delays. Under natural assumptions on the synaptic connectivity we show how one can derive an equivalent partial differential equation (PDE) model that properly treats the axonal delay terms of the integral formulation. Our analysis avoids… (More)

- James J. Wright, David T. J. Liley
- Biological Cybernetics
- 1995

We report simulations of the electrocorticogram of the cat and human, based on estimates of fibre range, fibre density, axonal and dendritic delays, and cortical synaptic density. The long-range cortical connections of real cortex were simplified to couplings of symmetric density, decreasing in density with range, on a closed (toroidal) surface.… (More)

- Ingo Bojak, David T. J. Liley
- PLoS Computational Biology
- 2010

By modelling the average activity of large neuronal populations, continuum mean field models (MFMs) have become an increasingly important theoretical tool for understanding the emergent activity of cortical tissue. In order to be computationally tractable, long-range propagation of activity in MFMs is often approximated with partial differential equations… (More)

- David T J Liley, Nicholas C Sinclair, Tarmo Lipping, Bjorn Heyse, Hugo E M Vereecke, Michel M R F Struys
- Anesthesiology
- 2010

BACKGROUND
The purpose of this study was to evaluate a new, physiologically inspired method for the analysis of the electroencephalogram during propofol-remifentanil anesthesia. Based on fixed-order autoregressive moving-average modeling, this method was hypothesized to be capable of dissociating the effects that hypnotic and analgesic agents have on brain… (More)

- David T. J. Liley, Kate Leslie, Nicholas C. Sinclair, Martin Feckie
- Comp. in Bio. and Med.
- 2008

A number of commonly used anesthetics, including nitrous oxide (N2O), are poorly detected by current electroencephalography (EEG)-based measures of anesthetic depth such as the bispectral index. Based on a previously elaborated theory of electrocortical rhythmogenesis we developed a physiologically inspired method of EEG analysis that was hypothesized to be… (More)