A coarse-graining framework for spiking neuronal networks: from strongly-coupled conductance-based integrate-and-fire neurons to augmented systems of ODEs

Journal of Computational Neuroscience
Jiwei ZhangLouis Tao

Abstract

Homogeneously structured, fluctuation-driven networks of spiking neurons can exhibit a wide variety of dynamical behaviors, ranging from homogeneity to synchrony. We extend our partitioned-ensemble average (PEA) formalism proposed in Zhang et al. (Journal of Computational Neuroscience, 37(1), 81-104, 2014a) to systematically coarse grain the heterogeneous dynamics of strongly coupled, conductance-based integrate-and-fire neuronal networks. The population dynamics models derived here successfully capture the so-called multiple-firing events (MFEs), which emerge naturally in fluctuation-driven networks of strongly coupled neurons. Although these MFEs likely play a crucial role in the generation of the neuronal avalanches observed in vitro and in vivo, the mechanisms underlying these MFEs cannot easily be understood using standard population dynamic models. Using our PEA formalism, we systematically generate a sequence of model reductions, going from Master equations, to Fokker-Planck equations, and finally, to an augmented system of ordinary differential equations. Furthermore, we show that these reductions can faithfully describe the heterogeneous dynamic regimes underlying the generation of MFEs in strongly coupled conductance-...Continue Reading

References

Jun 1, 1972·The Journal of General Physiology·B W Knight
Mar 1, 1996·Journal of Computational Neuroscience·D Hansel, H Sompolinsky
Dec 23, 1998·Proceedings of the National Academy of Sciences of the United States of America·N G HatsopoulosJ P Donoghue
Aug 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·L F Abbott, van Vreeswijk C
Sep 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·T Ohira, J D Cowan
Jul 27, 1987·Physical Review Letters·P BakK Wiesenfeld
Jun 18, 2002·Science·Xavier LeinekugelGyörgy Buzsáki
Aug 20, 2002·Neural Computation·Nicolas Fourcaud, Nicolas Brunel
Sep 7, 2002·Journal of Computational Neuroscience·Michael ShelleyJacob Wielaard
Sep 3, 2003·Nature Reviews. Neuroscience·Alain DestexheDenis Paré
May 8, 2004·Proceedings of the National Academy of Sciences of the United States of America·David CaiDavid W McLaughlin
Jun 26, 2004·Science·György Buzsáki, Andreas Draguhn
Apr 9, 2005·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Adam Kohn, Matthew A Smith
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Stefan Bornholdt, Torsten Röhl
Nov 18, 2005·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Tim P Vogels, L F Abbott
Feb 10, 2006·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Terrence J Sejnowski, Ole Paulsen
May 23, 2006·Physical Review Letters·Aaditya V Rangan, David Cai
May 16, 2007·PloS One·Alberto MazzoniVincent Torre
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michael A Buice, Carson C Chow
Apr 29, 2008·Neural Computation·Birgit KrienerStefan Rotter
Feb 13, 2009·Neural Computation·Sami El Boustani, Alain Destexhe
Feb 20, 2009·Frontiers in Neuroscience·Anita K RoopunMiles A Whittington
Apr 30, 2009·Annual Review of Neuroscience·Pascal Fries
Jun 13, 2009·Physical Review Letters·Aaditya V Rangan
Sep 1, 2009·Proceedings of the National Academy of Sciences of the United States of America·Thomas PetermannDietmar Plenz
Oct 27, 2009·Neural Computation·Michael A BuiceCarson C Chow
Jan 7, 2010·Journal of Computational Neuroscience·Stefano Cardanobile, Stefan Rotter
Feb 23, 2010·Nature Neuroscience·Mark M ChurchlandKrishna V Shenoy
Jul 16, 2010·Journal of Neurophysiology·Gerald HahnDanko Nikolic
Sep 22, 2010·PLoS Computational Biology·Moritz HeliasMarkus Diesmann
Jan 7, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Woodrow L ShewDietmar Plenz
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Katherine A NewhallDavid Cai
Feb 2, 2011·PLoS Computational Biology·Srdjan Ostojic, Nicolas Brunel
Jun 8, 2011·Frontiers in Computational Neuroscience·Erwan Ledoux, Nicolas Brunel
Jul 23, 2011·Frontiers in Computational Neuroscience·Liqiong ZhaoDuane Q Nykamp
Oct 15, 2011·PLoS Computational Biology·Demian Battaglia, David Hansel
Nov 11, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Alex RoxinCarl van Vreeswijk
Dec 2, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Shan YuDietmar Plenz

❮ Previous
Next ❯

Citations

Sep 8, 2021·Frontiers in Computational Neuroscience·Yuhang CaiZhuo-Cheng Xiao
Dec 24, 2021·PLoS Computational Biology·Zhuo-Cheng XiaoLai-Sang Young

❮ 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.

Related Papers

Journal of Computational Neuroscience
Aaditya Rangan, Lai-Sang Young
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Gregor KovacicDavid Cai
Archives of Gerontology and Geriatrics
Alexandra PerrotHaifa Zitari
© 2022 Meta ULC. All rights reserved