Models and properties of power-law adaptation in neural systems

Journal of Neurophysiology
Patrick J Drew, L F Abbott

Abstract

Many biological systems exhibit complex temporal behavior that cannot be adequately characterized by a single time constant. This dynamics, observed from single channels up to the level of human psychophysics, is often better described by power-law rather than exponential dependences on time. We develop and study the properties of neural models with scale-invariant, power-law adaptation and contrast them with the more commonly studied exponential case. Responses of an adapting firing-rate model to constant, pulsed, and oscillating inputs in both the power-law and exponential cases are considered. We construct a spiking model with power-law adaptation based on a nested cascade of processes and show that it can be "programmed" to produce a wide range of time delays. Finally, within a network model, we use power-law adaptation to reproduce long-term features of the tilt aftereffect.

References

Jan 1, 1992·Journal of Neurophysiology·P C SchwindtW E Crill
Jan 26, 1987·Biochimica Et Biophysica Acta·L S LiebovitchM Wang
Mar 1, 1988·Proceedings of the National Academy of Sciences of the United States of America·G L MillhauserR E Oswald
Jan 1, 1987·Vision Research·M W Greenlee, S Magnussen
Jan 1, 1985·Vision Research·S Magnussen, M W Greenlee
Jan 18, 1974·Science·J Thorson, M Biederman-Thorson
Jan 1, 1982·Perception·D Rose, I Lowe
Apr 25, 1995·Proceedings of the National Academy of Sciences of the United States of America·R Ben-YishaiH Sompolinsky
Jan 1, 1994·Biological cybernetics·T J Anastasio
Mar 24, 1995·Science·D L GildenM W Mallon
Jan 7, 1998·Experimental Brain Research·X SiJ D Dickman
Mar 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E AurellA Vulpiani
Aug 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J M Hausdorff, C Peng
Mar 1, 1993·Physical Review Letters· Peng C-KA L Goldberger
Aug 28, 1999·Science·J R MüllerP Lennie
Apr 26, 2000·Proceedings of the National Academy of Sciences of the United States of America·T M YiJ Doyle
Feb 24, 2001·Psychological Review·D L Gilden
Aug 24, 2001·Nature·A L FairhallR R de Ruyter Van Steveninck
Feb 1, 2002·Memory & Cognition·R B Anderson
Feb 5, 2002·Annual Review of Physiology·Robert S Zucker, Wade G Regehr
Dec 7, 2002·Neuron·Stephen A Baccus, Markus Meister
Mar 4, 2003·Journal of Neurophysiology·Andrew F Teich, Ning Qian
Mar 26, 2003·Nature Neuroscience·Nachum UlanovskyIsrael Nelken
Dec 12, 2003·Biological cybernetics·Israel NelkenDina Farkas
Jun 15, 2004·Nature Neuroscience·Adam Kohn, J Anthony Movshon
Aug 31, 2004·Neural Computation·Giancarlo La CameraStefano Fusi
Nov 19, 2004·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Nachum UlanovskyIsrael Nelken
Feb 22, 2005·Neuron·Stefano FusiL F Abbott
Jul 15, 2005·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Gail GilboaNaama Brenner
Sep 2, 2005·Journal of Neurophysiology·Dezhe Z JinH Sebastian Seung
Jan 1, 1991·Neural Computation·L F AbbottS L Hooper

❮ Previous
Next ❯

Citations

May 4, 2007·Journal of Comparative Physiology. A, Neuroethology, Sensory, Neural, and Behavioral Physiology·Eva KreissMichael Gebhardt
Jun 3, 2010·Biological cybernetics·B J West, P Grigolini
Jul 21, 2012·Biological cybernetics·Stefano Noventa, Giulio Vidotto
Jan 4, 2007·Journal of Computational Neuroscience·Maja SermanNiall J L Griffith
Oct 22, 2008·Nature Neuroscience·Brian N LundstromAdrienne L Fairhall
Jun 12, 2013·Nature Neuroscience·Christian PozzoriniWulfram Gerstner
Jun 23, 2007·Nature Reviews. Neuroscience·Odelia SchwartzPeter Dayan
Dec 19, 2009·Proceedings of the National Academy of Sciences of the United States of America·Tamar Friedlander, Naama Brenner
Jul 31, 2013·Proceedings of the National Academy of Sciences of the United States of America·Stephen E ClarkeLeonard Maler
Sep 27, 2012·The Journals of Gerontology. Series B, Psychological Sciences and Social Sciences·M Kristen PeekKenneth J Ottenbacher
Nov 20, 2009·Neural Computation·Bryan P Tripp, Chris Eliasmith
Sep 26, 2009·PLoS Computational Biology·Sami El BoustaniYves Frégnac
Mar 29, 2014·PLoS Computational Biology·Wondimu TekaFidel Santamaria
Jan 31, 2008·PloS One·Jan W BrascampAlbert V van den Berg
Dec 3, 2010·PloS One·Flora M AntunesManuel S Malmierca
Oct 8, 2011·PloS One·Ajaz Ahmad BhatAnita Mehta
Aug 6, 2010·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Muhammad S A Zilany, Laurel H Carney
Apr 13, 2012·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Aleksander W BalloDirk Bucher
Jul 8, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Timothy Verstynen, Philip N Sabes
Nov 10, 2009·The Journal of the Acoustical Society of America·Muhammad S A ZilanyLaurel H Carney
Jan 21, 2014·The Journal of the Acoustical Society of America·Muhammad S A ZilanyLaurel H Carney
Oct 17, 2014·Journal of Computational Neuroscience·Brian Nils Lundstrom
Dec 7, 2013·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Yunyan Wang, José Luis Peña
Jul 8, 2010·Gait & Posture·Jonathan B Dingwell, Joseph P Cusumano
Aug 24, 2007·Current Opinion in Neurobiology·Barry WarkAdrienne Fairhall
Dec 3, 2014·Current Biology : CB·Samuel G Solomon, Adam Kohn
Jan 16, 2014·Psychophysiology·Carles Escera, Manuel S Malmierca
Jun 4, 2014·IEEE Transactions on Bio-medical Engineering·Mohamed H Negm, Ian C Bruce
Nov 13, 2015·Nature Reviews. Neuroscience·Stephen E ClarkeLeonard Maler
Nov 12, 2013·Human Movement Science·Joseph P Cusumano, Jonathan B Dingwell
Jun 7, 2015·Cell and Tissue Research·Marek RudnickiWerner Hemmert
Apr 19, 2016·Nature Communications·Chengjie G HuangMaurice J Chacron
Mar 17, 2009·Neuron·Barry WarkFred Rieke
Aug 8, 2015·PLoS Computational Biology·Arjun Bharioke, Dmitri B Chklovskii
Oct 20, 2009·Progress in Neurobiology·Shimon Marom
Mar 5, 2016·PLoS Computational Biology·Wondimu TekaFidel Santamaria
Dec 2, 2017·PLoS Computational Biology·Vincent JacobPhilippe Lucas
Aug 18, 2018·The European Journal of Neuroscience·Efstratios K KosmidisFotios K Diakonos
Sep 21, 2017·The Journal of Physiology·Benjamin J AllittRamesh Rajan
Aug 2, 2018·PloS One·Adam K BosenGary D Paige

❮ Previous
Next ❯

Related Concepts

Related Feeds

Antifungals (ASM)

An antifungal, also known as an antimycotic medication, is a pharmaceutical fungicide or fungistatic used to treat and prevent mycosis such as athlete's foot, ringworm, candidiasis, cryptococcal meningitis, and others. Discover the latest research on antifungals here.

Antifungals

An antifungal, also known as an antimycotic medication, is a pharmaceutical fungicide or fungistatic used to treat and prevent mycosis such as athlete's foot, ringworm, candidiasis, cryptococcal meningitis, and others. Discover the latest research on antifungals here.

Related Papers

The Journal of Neuroscience : the Official Journal of the Society for Neuroscience
Gail GilboaNaama Brenner
Nature Neuroscience
Brian Nils LundstromAdrienne L Fairhall
Nature
Adrienne L FairhallR de Ruyter van Steveninck
Psychonomic Bulletin & Review
Eric-Jan WagenmakersRoger Ratcliff
© 2022 Meta ULC. All rights reserved