A new approach for determining phase response curves reveals that Purkinje cells can act as perfect integrators.
Cerebellar Purkinje cells display complex intrinsic dynamics. They fire spontaneously, exhibit bistability, and via mutual network interactions are involved in the generation of high frequency oscillations and travelling waves of activity. To probe the dynamical properties of Purkinje cells we measu...
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2010
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oai:doaj.org-article:010729823a7240fb9c860415d057ca432021-12-02T19:58:27ZA new approach for determining phase response curves reveals that Purkinje cells can act as perfect integrators.1553-734X1553-735810.1371/journal.pcbi.1000768https://doaj.org/article/010729823a7240fb9c860415d057ca432010-04-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/20442875/?tool=EBIhttps://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358Cerebellar Purkinje cells display complex intrinsic dynamics. They fire spontaneously, exhibit bistability, and via mutual network interactions are involved in the generation of high frequency oscillations and travelling waves of activity. To probe the dynamical properties of Purkinje cells we measured their phase response curves (PRCs). PRCs quantify the change in spike phase caused by a stimulus as a function of its temporal position within the interspike interval, and are widely used to predict neuronal responses to more complex stimulus patterns. Significant variability in the interspike interval during spontaneous firing can lead to PRCs with a low signal-to-noise ratio, requiring averaging over thousands of trials. We show using electrophysiological experiments and simulations that the PRC calculated in the traditional way by sampling the interspike interval with brief current pulses is biased. We introduce a corrected approach for calculating PRCs which eliminates this bias. Using our new approach, we show that Purkinje cell PRCs change qualitatively depending on the firing frequency of the cell. At high firing rates, Purkinje cells exhibit single-peaked, or monophasic PRCs. Surprisingly, at low firing rates, Purkinje cell PRCs are largely independent of phase, resembling PRCs of ideal non-leaky integrate-and-fire neurons. These results indicate that Purkinje cells can act as perfect integrators at low firing rates, and that the integration mode of Purkinje cells depends on their firing rate.Elena PhokaHermann CuntzArnd RothMichael HäusserPublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 6, Iss 4, p e1000768 (2010) |
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Biology (General) QH301-705.5 Elena Phoka Hermann Cuntz Arnd Roth Michael Häusser A new approach for determining phase response curves reveals that Purkinje cells can act as perfect integrators. |
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Cerebellar Purkinje cells display complex intrinsic dynamics. They fire spontaneously, exhibit bistability, and via mutual network interactions are involved in the generation of high frequency oscillations and travelling waves of activity. To probe the dynamical properties of Purkinje cells we measured their phase response curves (PRCs). PRCs quantify the change in spike phase caused by a stimulus as a function of its temporal position within the interspike interval, and are widely used to predict neuronal responses to more complex stimulus patterns. Significant variability in the interspike interval during spontaneous firing can lead to PRCs with a low signal-to-noise ratio, requiring averaging over thousands of trials. We show using electrophysiological experiments and simulations that the PRC calculated in the traditional way by sampling the interspike interval with brief current pulses is biased. We introduce a corrected approach for calculating PRCs which eliminates this bias. Using our new approach, we show that Purkinje cell PRCs change qualitatively depending on the firing frequency of the cell. At high firing rates, Purkinje cells exhibit single-peaked, or monophasic PRCs. Surprisingly, at low firing rates, Purkinje cell PRCs are largely independent of phase, resembling PRCs of ideal non-leaky integrate-and-fire neurons. These results indicate that Purkinje cells can act as perfect integrators at low firing rates, and that the integration mode of Purkinje cells depends on their firing rate. |
format |
article |
author |
Elena Phoka Hermann Cuntz Arnd Roth Michael Häusser |
author_facet |
Elena Phoka Hermann Cuntz Arnd Roth Michael Häusser |
author_sort |
Elena Phoka |
title |
A new approach for determining phase response curves reveals that Purkinje cells can act as perfect integrators. |
title_short |
A new approach for determining phase response curves reveals that Purkinje cells can act as perfect integrators. |
title_full |
A new approach for determining phase response curves reveals that Purkinje cells can act as perfect integrators. |
title_fullStr |
A new approach for determining phase response curves reveals that Purkinje cells can act as perfect integrators. |
title_full_unstemmed |
A new approach for determining phase response curves reveals that Purkinje cells can act as perfect integrators. |
title_sort |
new approach for determining phase response curves reveals that purkinje cells can act as perfect integrators. |
publisher |
Public Library of Science (PLoS) |
publishDate |
2010 |
url |
https://doaj.org/article/010729823a7240fb9c860415d057ca43 |
work_keys_str_mv |
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