A threshold equation for action potential initiation.

PLoS Computational Biology
Jonathan Platkiewicz, Romain Brette

Abstract

In central neurons, the threshold for spike initiation can depend on the stimulus and varies between cells and between recording sites in a given cell, but it is unclear what mechanisms underlie this variability. Properties of ionic channels are likely to play a role in threshold modulation. We examined in models the influence of Na channel activation, inactivation, slow voltage-gated channels and synaptic conductances on spike threshold. We propose a threshold equation which quantifies the contribution of all these mechanisms. It provides an instantaneous time-varying value of the threshold, which applies to neurons with fluctuating inputs. We deduce a differential equation for the threshold, similar to the equations of gating variables in the Hodgkin-Huxley formalism, which describes how the spike threshold varies with the membrane potential, depending on channel properties. We find that spike threshold depends logarithmically on Na channel density, and that Na channel inactivation and K channels can dynamically modulate it in an adaptive way: the threshold increases with membrane potential and after every action potential. Our equation was validated with simulations of a previously published multicompartemental model of spik...Continue Reading

References

Oct 1, 1990·Proceedings of the National Academy of Sciences of the United States of America·N Qian, T J Sejnowski
Jan 1, 1990·Neir̆ofiziologiia = Neurophysiology·V E Lopantsev, V D Taranenko
Apr 1, 1989·Proceedings of the National Academy of Sciences of the United States of America·J R HuguenardD A Prince
Oct 1, 1980·The Journal of Physiology·F J Sigworth
May 1, 1993·Journal of Neurophysiology·A D Reyes, E E Fetz
Mar 1, 1995·Journal of Computational Neuroscience·C KochR J Douglas
Dec 1, 1995·Neuron·Z F MainenT J Sejnowski
Dec 1, 1996·Biophysical Journal·C C Chow, J A White
Feb 11, 1998·The Journal of Physiology·G StuartB Sakmann
May 20, 1998·Journal of Neurophysiology·J R Wickens, C J Wilson
Apr 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R F Fox, Y n Lu
Jun 8, 1999·The Journal of Physiology·D FrickerR Miles
Feb 17, 2000·Trends in Neurosciences·J A WhiteA R Kay
Jun 22, 2000·Proceedings of the National Academy of Sciences of the United States of America·R Azouz, C M Gray
Mar 8, 2002·The Journal of Physiology·Andrew J Trevelyan, Julian Jack
Apr 27, 2002·Journal of Neurophysiology·Michael J Ferragamo, Donata Oertel
May 7, 2002·Nature Neuroscience·Costa M Colbert, Enhui Pan
Jun 7, 2002·Current Opinion in Neurobiology·Nicholas C SpitzerMatthew W Conklin
Sep 3, 2003·Nature Reviews. Neuroscience·Alain DestexheDenis Paré
Nov 28, 1955·The Journal of Physiology·J S COOMBSP FATT
Dec 3, 1957·The Journal of Physiology·J S COOMBSJ C ECCLES
May 1, 1960·The Journal of General Physiology·R FITZHUGH
Nov 5, 2003·Nature Reviews. Neuroscience·Wei Zhang, David J Linden
Dec 6, 2003·Learning & Memory·Gaël Daoudal, Dominique Debanne
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Benjamin Lindner
Aug 13, 2004·Journal of Neurophysiology·Jean-François LégerDetlef Heck
Sep 21, 2004·IEEE Transactions on Bio-medical Engineering·Murat SekerliRobert J Butera
Feb 25, 2005·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Hiroshi KubaHarunori Ohmori
Mar 18, 2005·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·W Bryan Wilent, Diego Contreras
Jun 10, 2005·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Gonzalo G de PolaviejaMikko Juusola
Jul 15, 2005·Journal of Neurophysiology·Romain Brette, Wulfram Gerstner
Oct 14, 2005·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Monty A EscabíHeather L Read
Jan 13, 2006·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Gytis Baranauskas, Marco Martina
Feb 14, 2006·Proceedings of the National Academy of Sciences of the United States of America·Maria Carmen IndaAlberto Muñoz

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Citations

Apr 12, 2014·PLoS Computational Biology·Bertrand FontaineRomain Brette
Aug 22, 2014·Journal of the Royal Society, Interface·Javier CerveraSalvador Mafe
Jan 29, 2014·Journal of Computational Neuroscience·A V ChizhovA V Zaitsev
May 17, 2011·PLoS Computational Biology·Jonathan Platkiewicz, Romain Brette
Mar 13, 2012·The Journal of Biological Chemistry·Cojen HoMichael E O'Leary
Dec 18, 2013·PLoS Computational Biology·Romain Brette
Sep 5, 2012·Journal of Mathematical Biology·M DesrochesS Rodrigues
Mar 15, 2011·Neural Computation·Romain Brette, Dan F M Goodman
May 15, 2013·Discrete and Continuous Dynamical Systems. Series a·Xiangying MengJohn Rinzel
Apr 24, 2016·Mathematical Biosciences and Engineering : MBE·Frederik Riis Mikkelsen
Sep 1, 2013·Communications on Pure and Applied Mathematics·John Rinzel, Gemma Huguet
Dec 14, 2011·IEEE Transactions on Bio-medical Engineering·Ude LuTheodore W Berger
Aug 19, 2015·Journal of Computational Neuroscience·E Yu SmirnovaA V Chizhov
Jun 18, 2015·Frontiers in Computational Neuroscience·Douglas L JonesRama Ratnam
Apr 18, 2016·Journal of Computational Neuroscience·Ryota Kobayashi, Katsunori Kitano
Jun 1, 2016·Frontiers in Computational Neuroscience·Ho Ka ChanThomas Nowotny
Sep 14, 2012·PLoS Computational Biology·Rahul Agarwal, Sridevi V Sarma
Jun 18, 2015·PLoS Computational Biology·Christian PozzoriniWulfram Gerstner
Nov 8, 2016·Scientific Reports·Ludmila BrochiniOsame Kinouchi
Apr 26, 2017·PloS One·Maria TelenczukRomain Brette
Dec 14, 2011·Network : Computation in Neural Systems·T J SuslakA P Jarman
Jun 17, 2018·International Journal for Numerical Methods in Biomedical Engineering·Ilaria CinelliMaeve Duffy
Jun 16, 2016·PLoS Computational Biology·Chao HuangBernhard Englitz
Nov 6, 2018·The European Journal of Neuroscience·Karima Ait OuaresNicola Kuczewski
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Azadeh Khajeh Alijani, Magnus J E Richardson
Mar 22, 2013·Journal of Neurophysiology·Richard A FelixAnna K Magnusson
Jul 19, 2013·Journal of Neurophysiology·Bertrand FontaineRomain Brette
May 3, 2014·Journal of Neurophysiology·Bertrand FontaineJose L Peña
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arnaud Tonnelier
May 31, 2019·Journal of Mathematical Neuroscience·Richard Naud, André Longtin
Dec 21, 2019·Science·Alfred Xuyang SunHyunsoo Shawn Je
Feb 18, 2017·Frontiers in Computational Neuroscience·Gemma HuguetJohn Rinzel
Nov 22, 2017·International Journal for Numerical Methods in Biomedical Engineering·I CinelliP McHugh

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