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BioMed Central Page 1 of 2 (page number not for citation purposes) BMC Neuroscience Open Access Poster presentation Relating firing rate and spike time irregularity in motor cortical neurons Adrián Ponce-Alvarez*, Bjørg Elisabeth Kilavik and Alexa Riehle Address: Institut de Neurosciences Cognitives de la Méditerranée, CNRS-Université de la Méditerranée, Marseille, France Email: Adrián Ponce-Alvarez* - [email protected] * Corresponding author Introduction Cortical neurons exhibit highly irregular inter-spike inter- vals (ISIs) [1]. Differences in irregularity could be in part due to imbalances of excitatory and inhibitory inputs to the neurons, which determines the statistics of the net input [2]. There is experimental evidence that the intrinsic irregularity of neurons in the awake monkey is constant [3]. However, changes in irregularity have also been reported [4,5] in different cortical areas and different behavioral tasks. The classical measure of spike time irreg- ularity is the coefficient of variation (CV), a global meas- ure defined as the dispersion of the ISIs. However, the CV largely overestimates the irregularity in the case of pro- nounced changes in firing rate. This led several researchers to propose alternative measures of irregularity that are local in time and therefore relatively independent of rate changes. To our knowledge, these measures have never been compared to each other. Here we compare four such measures: the local coefficient of variation CV2 [6], the local variation LV [3], the measure IR [4] and the measure SI [7]. The first question we address is which of these measures is the most efficient for analyzing experimental data in a time-resolved manner where the number of ISIs is limited. Second, we study the variation of the spike time irregularity of neurons recorded in the motor cortex of a monkey while performing a delayed center-out task. Results By calculating analytically the statistics of the measures in the case of gamma-distributed spike trains we found that the CV2 is the measure with the lowest variance and, thus, it induces the least errors when the number of ISIs in each window is limited. The application of CV2 to recorded spike trains in the motor cortex of a monkey performing a delayed motor task provides an overview of the diversity of behaviors of the spike time irregularity, that can be modulated or not by the task, and decoupled or not from rate modulations. In our dataset the CV2 and firing rate are either negatively correlated (55.1% of the neurons) or decoupled (44% of the neurons). Positive correlations are seldom (0.9%). Neurons with a CV2-rate decoupling have a rather constant CV2 and discharge mainly irregularly, reflecting a balance drive. Neurons with a CV2-rate cou- pling can modulate their CV2 and explore a larger range of CV2 values, reflecting an excitatory drive. References 1. Softky WR, Koch C: The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs. J Neurosci 1996, 13:334-350. 2. Salinas E, Sejnowski TJ: Impact of correlated synaptic input on output firing rate and variability in simple neuronal models. J Neurosci 2000, 20:6193-6209. 3. Shinomoto S, Shima K, Tanji K: Differences in spiking patterns among cortical neurons. Neural Computation 2003, 15:2823-2842. 4. Davies RM, Gerstein GL, Baker N: Measurement of time- dependent changes in the irregularity of neural spiking. J Neurophysiol 2006, 96:906-918. 5. Compte A, Constantinidis C, Tegnér J, Raghavachari S, Chafee MV, Goldman-Rakic PS, Wang XJ: Temporally irregular mnemonic persistent activity in prefrontal neurons of monkeys during a delayed response task. J Neurophysiol 2003, 90:3441-3454. 6. Holt GR, Softky WR, Koch C, Douglas RJ: Comparison of dis- charge variability in vitro and in vivo in cat visual cortex neu- rons. J Neurophysiol 1996, 75:1806-1814. from Eighteenth Annual Computational Neuroscience Meeting: CNS*2009 Berlin, Germany. 18–23 July 2009 Published: 13 July 2009 BMC Neuroscience 2009, 10(Suppl 1):P298 doi:10.1186/1471-2202-10-S1-P298 <supplement> <title> <p>Eighteenth Annual Computational Neuroscience Meeting: CNS*2009</p> </title> <editor>Don H Johnson</editor> <note>Meeting abstracts – A single PDF containing all abstracts in this Supplement is available <a href="http://www.biomedcentral.com/content/files/pdf/1471-2202-10-S1-full.pdf">here</a>.</note> <url>http://www.biomedcentral.com/content/pdf/1471-2202-10-S1-info.pdf</url> </supplement> This abstract is available from: http://www.biomedcentral.com/1471-2202/10/S1/P298 © 2009 Ponce-Alvarez et al; licensee BioMed Central Ltd.

Relating firing rate and spike time irregularity in motor cortical neurons

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Open AccePoster presentationRelating firing rate and spike time irregularity in motor cortical neuronsAdrián Ponce-Alvarez*, Bjørg Elisabeth Kilavik and Alexa Riehle

Address: Institut de Neurosciences Cognitives de la Méditerranée, CNRS-Université de la Méditerranée, Marseille, France

Email: Adrián Ponce-Alvarez* - [email protected]

* Corresponding author

IntroductionCortical neurons exhibit highly irregular inter-spike inter-vals (ISIs) [1]. Differences in irregularity could be in partdue to imbalances of excitatory and inhibitory inputs tothe neurons, which determines the statistics of the netinput [2]. There is experimental evidence that the intrinsicirregularity of neurons in the awake monkey is constant[3]. However, changes in irregularity have also beenreported [4,5] in different cortical areas and differentbehavioral tasks. The classical measure of spike time irreg-ularity is the coefficient of variation (CV), a global meas-ure defined as the dispersion of the ISIs. However, the CVlargely overestimates the irregularity in the case of pro-nounced changes in firing rate. This led several researchersto propose alternative measures of irregularity that arelocal in time and therefore relatively independent of ratechanges. To our knowledge, these measures have neverbeen compared to each other. Here we compare four suchmeasures: the local coefficient of variation CV2 [6], thelocal variation LV [3], the measure IR [4] and the measureSI [7]. The first question we address is which of thesemeasures is the most efficient for analyzing experimentaldata in a time-resolved manner where the number of ISIsis limited. Second, we study the variation of the spike timeirregularity of neurons recorded in the motor cortex of amonkey while performing a delayed center-out task.

ResultsBy calculating analytically the statistics of the measures inthe case of gamma-distributed spike trains we found that

the CV2 is the measure with the lowest variance and, thus,it induces the least errors when the number of ISIs in eachwindow is limited. The application of CV2 to recordedspike trains in the motor cortex of a monkey performing adelayed motor task provides an overview of the diversityof behaviors of the spike time irregularity, that can bemodulated or not by the task, and decoupled or not fromrate modulations. In our dataset the CV2 and firing rateare either negatively correlated (55.1% of the neurons) ordecoupled (44% of the neurons). Positive correlations areseldom (0.9%). Neurons with a CV2-rate decoupling havea rather constant CV2 and discharge mainly irregularly,reflecting a balance drive. Neurons with a CV2-rate cou-pling can modulate their CV2 and explore a larger rangeof CV2 values, reflecting an excitatory drive.

References1. Softky WR, Koch C: The highly irregular firing of cortical cells

is inconsistent with temporal integration of random EPSPs.J Neurosci 1996, 13:334-350.

2. Salinas E, Sejnowski TJ: Impact of correlated synaptic input onoutput firing rate and variability in simple neuronal models.J Neurosci 2000, 20:6193-6209.

3. Shinomoto S, Shima K, Tanji K: Differences in spiking patternsamong cortical neurons. Neural Computation 2003, 15:2823-2842.

4. Davies RM, Gerstein GL, Baker N: Measurement of time-dependent changes in the irregularity of neural spiking. JNeurophysiol 2006, 96:906-918.

5. Compte A, Constantinidis C, Tegnér J, Raghavachari S, Chafee MV,Goldman-Rakic PS, Wang XJ: Temporally irregular mnemonicpersistent activity in prefrontal neurons of monkeys during adelayed response task. J Neurophysiol 2003, 90:3441-3454.

6. Holt GR, Softky WR, Koch C, Douglas RJ: Comparison of dis-charge variability in vitro and in vivo in cat visual cortex neu-rons. J Neurophysiol 1996, 75:1806-1814.

from Eighteenth Annual Computational Neuroscience Meeting: CNS*2009Berlin, Germany. 18–23 July 2009

Published: 13 July 2009

BMC Neuroscience 2009, 10(Suppl 1):P298 doi:10.1186/1471-2202-10-S1-P298

<supplement> <title> <p>Eighteenth Annual Computational Neuroscience Meeting: CNS*2009</p> </title> <editor>Don H Johnson</editor> <note>Meeting abstracts – A single PDF containing all abstracts in this Supplement is available <a href="http://www.biomedcentral.com/content/files/pdf/1471-2202-10-S1-full.pdf">here</a>.</note> <url>http://www.biomedcentral.com/content/pdf/1471-2202-10-S1-info.pdf</url> </supplement>

This abstract is available from: http://www.biomedcentral.com/1471-2202/10/S1/P298

© 2009 Ponce-Alvarez et al; licensee BioMed Central Ltd.

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7. Miura K, Okada M, Amari M: Estimating spiking irregularitiesunder changing environments. Neural 2006, 18:2359-2386.

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