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Anthony N. Burkitt

Bio: Anthony N. Burkitt is an academic researcher from University of Melbourne. The author has contributed to research in topics: Spike-timing-dependent plasticity & Retina. The author has an hindex of 32, co-authored 238 publications receiving 3979 citations. Previous affiliations of Anthony N. Burkitt include University of Liverpool & University of Wuppertal.


Papers
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Journal ArticleDOI
TL;DR: This review considers the model in which the synaptic input varies periodically and is described by an inhomogeneous Poisson process, with both current and conductance synapses, and focuses on the mathematical methods that allow the output spike distribution to be analyzed.
Abstract: The integrate-and-fire neuron model describes the state of a neuron in terms of its membrane potential, which is determined by the synaptic inputs and the injected current that the neuron receives. When the membrane potential reaches a threshold, an action potential (spike) is generated. This review considers the model in which the synaptic input varies periodically and is described by an inhomogeneous Poisson process, with both current and conductance synapses. The focus is on the mathematical methods that allow the output spike distribution to be analyzed, including first passage time methods and the Fokker-Planck equation. Recent interest in the response of neurons to periodic input has in part arisen from the study of stochastic resonance, which is the noise-induced enhancement of the signal-to-noise ratio. Networks of integrate-and-fire neurons behave in a wide variety of ways and have been used to model a variety of neural, physiological, and psychological phenomena. The properties of the integrate-and-fire neuron model with synaptic input described as a temporally homogeneous Poisson process are reviewed in an accompanying paper (Burkitt in Biol Cybern, 2006).

427 citations

Journal ArticleDOI
18 Dec 2014-PLOS ONE
TL;DR: The first-in-human Phase 1 trial to investigate the use of retinal implants in the suprachoroidal space in three human subjects with end-stage retinitis pigmentosa holds promise for the field of vision restoration.
Abstract: This research was supported by the Australian Research Council (http://www.arc.gov. au) through its Special Research Initiative (SRI) in Bionic Vision Science and Technology grant to Bionic Vision Australia (BVA). The Centre for Eye Research Australia (CERA) and the Bionics Institute receive Operational Infrastructure Support from the Victorian Government. CERA is also supported by a NH&MRC Centre for Clinical Research Excellence (#529923) grant – Translational Clinical Research in Major Eye Diseases (https://www.nhmrc.gov.au). RG is supported by an NHMRC practitioner fellowship (#529905). NICTA is funded by the Australian Government through the Department of Communications and the Australian Research Council through the ICT Centre of Excellence Program (http://www.arc.gov.au/ncgp/centres/ centres_nicta.htm). Additional support for this project came from the Ian Potter Foundation (http:// www.ianpotter.org.au), John T. Reid Charitable Trusts (http://www.johntreidtrusts.com.au), Retina Australia (http://www.retinaaustralia.com.au) and the Bertalli Family Foundation (http://fbe.unimelb. edu.au/scholarships/opportunities/undergraduate/ the_bertalli_family_foundation_scholarships).

270 citations

Journal ArticleDOI
TL;DR: The feasibility of chronically recording brain activity from within a vein using a passive stent-electrode recording array (stentrode) is demonstrated and neural recordings in freely moving sheep for up to 190 d are demonstrated.
Abstract: High-fidelity intracranial electrode arrays for recording and stimulating brain activity have facilitated major advances in the treatment of neurological conditions over the past decade. Traditional arrays require direct implantation into the brain via open craniotomy, which can lead to inflammatory tissue responses, necessitating development of minimally invasive approaches that avoid brain trauma. Here we demonstrate the feasibility of chronically recording brain activity from within a vein using a passive stent-electrode recording array (stentrode). We achieved implantation into a superficial cortical vein overlying the motor cortex via catheter angiography and demonstrate neural recordings in freely moving sheep for up to 190 d. Spectral content and bandwidth of vascular electrocorticography were comparable to those of recordings from epidural surface arrays. Venous internal lumen patency was maintained for the duration of implantation. Stentrodes may have wide ranging applications as a neural interface for treatment of a range of neurological conditions.

195 citations

Book ChapterDOI
01 Jan 1990
TL;DR: The Ising model is introduced in order to provide a concrete illustration of the Monte Carlo method, which will be useful also in later chapters as a simple context in which to present some of the algorithms the authors will discuss.
Abstract: In this chapter we give a condensed introduction to the basic features of computer simulation methods. We particularly review the Monte Carlo method of importance sampling and the principles of molecular dynamics simulations. Some of the systematic effects associated with computer simulations, such as finite-size effects, statistical errors and so on, are reviewed. The Ising model is introduced in order to provide a concrete illustration of the Monte Carlo method, which will be useful also in later chapters as a simple context in which to present some of the algorithms we will discuss. It is assumed that the reader has at least some prior understanding or experience of the material covered in this chapter, since it is meant mainly as a reference base for the material addressed in subsequent chapters. For a more complete description of the material presented here we recommend referring to one of the number of books that are now available [2.1–5]. The reader embarking upon computer simulations for the first time is encouraged to consult one of these.

191 citations

Journal ArticleDOI
TL;DR: Using long-term intracranial electroencephalography recordings from fourteen patients with focal epilepsy, key signatures of critical slowing down are monitored and it is shown critical slowing can be used as a marker in seizure forecasting algorithms.
Abstract: The human brain has the capacity to rapidly change state, and in epilepsy these state changes can be catastrophic, resulting in loss of consciousness, injury and even death. Theoretical interpretations considering the brain as a dynamical system suggest that prior to a seizure, recorded brain signals may exhibit critical slowing down, a warning signal preceding many critical transitions in dynamical systems. Using long-term intracranial electroencephalography (iEEG) recordings from fourteen patients with focal epilepsy, we monitored key signatures of critical slowing down prior to seizures. The metrics used to detect critical slowing down fluctuated over temporally long scales (hours to days), longer than would be detectable in standard clinical evaluation settings. Seizure risk was associated with a combination of these signals together with epileptiform discharges. These results provide strong validation of theoretical models and demonstrate that critical slowing down is a reliable indicator that could be used in seizure forecasting algorithms.

118 citations


Cited by
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[...]

08 Dec 2001-BMJ
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality. Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

33,785 citations

Journal ArticleDOI
06 Jun 1986-JAMA
TL;DR: The editors have done a masterful job of weaving together the biologic, the behavioral, and the clinical sciences into a single tapestry in which everyone from the molecular biologist to the practicing psychiatrist can find and appreciate his or her own research.
Abstract: I have developed "tennis elbow" from lugging this book around the past four weeks, but it is worth the pain, the effort, and the aspirin. It is also worth the (relatively speaking) bargain price. Including appendixes, this book contains 894 pages of text. The entire panorama of the neural sciences is surveyed and examined, and it is comprehensive in its scope, from genomes to social behaviors. The editors explicitly state that the book is designed as "an introductory text for students of biology, behavior, and medicine," but it is hard to imagine any audience, interested in any fragment of neuroscience at any level of sophistication, that would not enjoy this book. The editors have done a masterful job of weaving together the biologic, the behavioral, and the clinical sciences into a single tapestry in which everyone from the molecular biologist to the practicing psychiatrist can find and appreciate his or

7,563 citations

01 Jan 2016
TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Abstract: Thank you very much for downloading table of integrals series and products. Maybe you have knowledge that, people have look hundreds times for their chosen books like this table of integrals series and products, but end up in harmful downloads. Rather than reading a good book with a cup of coffee in the afternoon, instead they cope with some harmful virus inside their laptop. table of integrals series and products is available in our book collection an online access to it is set as public so you can get it instantly. Our book servers saves in multiple locations, allowing you to get the most less latency time to download any of our books like this one. Merely said, the table of integrals series and products is universally compatible with any devices to read.

4,085 citations

Journal ArticleDOI
TL;DR: Van Kampen as mentioned in this paper provides an extensive graduate-level introduction which is clear, cautious, interesting and readable, and could be expected to become an essential part of the library of every physical scientist concerned with problems involving fluctuations and stochastic processes.
Abstract: N G van Kampen 1981 Amsterdam: North-Holland xiv + 419 pp price Dfl 180 This is a book which, at a lower price, could be expected to become an essential part of the library of every physical scientist concerned with problems involving fluctuations and stochastic processes, as well as those who just enjoy a beautifully written book. It provides an extensive graduate-level introduction which is clear, cautious, interesting and readable.

3,647 citations