Minimal models of adapted neuronal response to in vivo-like input currents

Neural Computation
Giancarlo La CameraStefano Fusi

Abstract

Rate models are often used to study the behavior of large networks of spiking neurons. Here we propose a procedure to derive rate models that take into account the fluctuations of the input current and firing-rate adaptation, two ubiquitous features in the central nervous system that have been previously overlooked in constructing rate models. The procedure is general and applies to any model of firing unit. As examples, we apply it to the leaky integrate-and-fire (IF) neuron, the leaky IF neuron with reversal potentials, and to the quadratic IF neuron. Two mechanisms of adaptation are considered, one due to an afterhyperpolarization current and the other to an adapting threshold for spike emission. The parameters of these simple models can be tuned to match experimental data obtained from neocortical pyramidal neurons. Finally, we show how the stationary model can be used to predict the time-varying activity of a large population of adapting neurons.

References

Oct 1, 1985·Journal of Neurophysiology·D A McCormickD A Prince
Jan 1, 1987·Biological cybernetics·P Lánský, V Lánská
Jun 1, 1972·The Journal of General Physiology·B W Knight
Aug 1, 1984·Journal of Neurophysiology·C E StafstromW E Crill
Oct 1, 1982·Journal of Neurophysiology·P C Schwindt, W E Crill
Jul 1, 1996·Neural Computation·B Ermentrout
Jul 1, 1997·Neural Computation·G R Holt, C Koch
Sep 23, 1998·Neural Computation·B Ermentrout
Nov 6, 1998·Journal of Theoretical Biology·N Brunel, S Sergi
Aug 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·L F Abbott, van Vreeswijk C
Mar 20, 1999·Journal of Physiology, Paris·R K PowersM D Binder
Dec 29, 2000·Network : Computation in Neural Systems·N Brunel
Apr 24, 2001·Journal of Computational Neuroscience·Y H Liu, X J Wang
Aug 7, 2002·Journal of Neurophysiology·Galit FuhrmannMisha Tsodyks
Aug 20, 2002·Neural Computation·Nicolas Fourcaud, Nicolas Brunel
Aug 27, 2002·Neuron·Frances S ChanceAlex D Reyes
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Maurizio Mattia, Paolo Del Giudice
May 17, 2003·Journal of Neurophysiology·Alexander RauchStefano Fusi
Sep 27, 2003·Neural Computation·Oren ShrikiHaim Sompolinsky
Sep 27, 2003·Neural Computation·Nicolas Brunel, Peter E Latham
Feb 3, 2004·Physical Review Letters·Rubén Moreno-Bote, Néstor Parga

❮ Previous
Next ❯

Citations

Dec 25, 2010·Journal of Mathematical Biology·José Antonio CarrilloSimona Mancini
Mar 28, 2007·Biological cybernetics·Gustavo Deco, Daniel Martí
Nov 18, 2008·Biological cybernetics·Renaud JolivetArnd Roth
Apr 15, 2005·Journal of Computational Neuroscience·Nicolas Fourcaud-Trocmé, Nicolas Brunel
Apr 25, 2006·Journal of Computational Neuroscience·Renaud JolivetWulfram Gerstner
Jul 28, 2006·Journal of Computational Neuroscience·Petr LanskyJufang He
Apr 12, 2011·Journal of Computational Neuroscience·Patrick JahnSusanne Ditlevsen
Feb 23, 2013·Journal of Computational Neuroscience·Wilten Nicola, Sue Ann Campbell
Mar 31, 2006·Journal of Neurophysiology·Fabrizio Gabbiani, Holger G Krapp
Sep 22, 2007·Neural Computation·Joseph M BraderStefano Fusi
Sep 22, 2007·Neural Computation·Eilif MullerKarlheinz Meier
Nov 20, 2009·Neural Computation·Bryan P Tripp, Chris Eliasmith
Oct 26, 2011·Neural Computation·Kenneth D Miller, Francesco Fumarola
Jul 19, 2008·PLoS Computational Biology·Sungho HongAdrienne L Fairhall
Sep 22, 2010·PLoS Computational Biology·Moritz HeliasMarkus Diesmann
Dec 29, 2010·PLoS Computational Biology·Tilo SchwalgerBenjamin Lindner
Feb 2, 2011·PLoS Computational Biology·Srdjan Ostojic, Nicolas Brunel
Oct 12, 2012·PLoS Computational Biology·Richard Naud, Wulfram Gerstner
Oct 8, 2013·PLoS Computational Biology·Farzad FarkhooiMartin P Nawrot
Oct 17, 2014·Journal of Computational Neuroscience·Brian Nils Lundstrom
Mar 1, 2016·Frontiers in Systems Neuroscience·Luca MazzucatoGiancarlo La Camera
Apr 24, 2016·Mathematical Biosciences and Engineering : MBE·Aniello BuonocoreMaria Francesca Carfora
May 12, 2009·Progress in Neurobiology·Gustavo DecoRanulfo Romo
Dec 10, 2008·Journal of Theoretical Biology·Rafael D Vilela, Benjamin Lindner
Dec 28, 2007·Journal of Neuroscience Methods·Renaud JolivetWulfram Gerstner
Apr 17, 2007·The European Journal of Neuroscience·Daniel J Amit, Sandro Romani
Jun 9, 2010·The European Journal of Neuroscience·Ying WangKay Thurley
Sep 25, 2015·Journal of Computational Neuroscience·David ColliauxKunihiko Kaneko
Apr 25, 2007·Network : Computation in Neural Systems·Lubomir KostalCristina Zucca
Sep 12, 2008·Neural Networks : the Official Journal of the International Neural Network Society·Marc de KampsFrank van der Velde
Mar 23, 2010·NeuroImage·Gustavo Deco, Per Roland
Apr 6, 2016·IEEE Transactions on Neural Networks and Learning Systems·Wang Wei LeeNitish V Thakor
Dec 2, 2017·Journal of Computational Neuroscience·Safura Rashid ShomaliSeyyed Nader Rasuli
Aug 23, 2017·ELife·Daniel JercogJaime de la Rocha
Apr 28, 2006·Journal of Neurophysiology·Patrick J Drew, L F Abbott
Jun 30, 2006·Journal of Neurophysiology·Giancarlo La CameraStefano Fusi
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Martin Stetter
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gustavo Deco, Daniel Martí
Nov 1, 2013·Journal of Neurophysiology·Josef LadenbauerKlaus Obermayer
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tilo Schwalger, Benjamin Lindner
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Susanne Ditlevsen, Petr Lansky

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

© 2021 Meta ULC. All rights reserved