Simple spike frequency and the number of secondary spikes in the complex spike of the cerebellar Purkinje cell

1976 ◽  
Vol 114 (2) ◽  
pp. 334-338 ◽  
Author(s):  
Peter F.C. Gilbert
1994 ◽  
Vol 71 (1) ◽  
pp. 401-419 ◽  
Author(s):  
E. De Schutter ◽  
J. M. Bower

1. Both excitatory and inhibitory postsynaptic channels were added to a previously described complex compartmental model of a cerebellar Purkinje cell to examine model responses to synaptic inputs. All model parameters remained as described previously, leaving maximum synaptic conductance as the only parameter that was tuned in the studies described in this paper. Under these conditions the model was capable of reproducing physiological recorded responses to each of the major types of synaptic input. 2. When excitatory synapses were activated on the smooth dendrites of the model, the model generated a complex dendritic Ca2+ spike similar to that generated by climbing fiber inputs. Examination of the model showed that activation of P-type Ca2+ channels in both the smooth and spiny dendrites augmented the depolarization during the complex spike and that Ca(2+)-activated K+ channels in the same dendritic regions determined the duration of the spike. When these synapses were activated under simulated current-clamp conditions the model also generated the characteristic dual reversal potential of the complex spike. The shape of the dendritic complex spike could be altered by changing the maximum conductance of the climbing fiber synapse and thus the amount of Ca2+ entering the cell. 3. To explore the background simple spike firing properties of Purkinje cells in vivo we added excitatory “parallel fiber” synapses to the spiny dendritic branches of the model. Continuous asynchronous activation of these granule cell synapses resulted in the generation of spontaneous sodium spikes. However, very low asynchronous input frequencies produced a highly regular, very fast rhythm (80–120 Hz), whereas slightly higher input frequencies resulted in Purkinje cell bursting. Both types of activity are uncharacteristic of in vivo Purkinje cell recordings. 4. Inhibitory synapses of the sort presumably generated by stellate cells were also added to the dendritic tree. When asynchronous activation of these inhibitory synapses was combined with continuous asynchronous excitatory input the model generated somatic action potentials in a much more stochastic pattern typical of real Purkinje cells. Under these conditions simulated inter-spike interval distributions resembled those found in experimental recordings. Also, as with in vivo recordings, the model did not generate dendritic bursts. This was mainly due to inhibition that suppressed the generation of dendritic Ca2+ spikes. 5. In the presence of asynchronous inhibition, changes in the average frequency of excitatory inputs modulated background simple spike firing frequencies in the natural range of Purkinje cell firing frequencies (30–100 Hz). This modulation was very sensitive to small changes in the average frequency of excitatory inputs.(ABSTRACT TRUNCATED AT 400 WORDS)


2017 ◽  
Vol 595 (15) ◽  
pp. 5341-5357 ◽  
Author(s):  
Tianyu Tang ◽  
Jianqiang Xiao ◽  
Colleen Y. Suh ◽  
Amelia Burroughs ◽  
Nadia L. Cerminara ◽  
...  

2015 ◽  
Vol 113 (2) ◽  
pp. 578-591 ◽  
Author(s):  
Marife Arancillo ◽  
Joshua J. White ◽  
Tao Lin ◽  
Trace L. Stay ◽  
Roy V. Sillitoe

Purkinje cell activity is essential for controlling motor behavior. During motor behavior Purkinje cells fire two types of action potentials: simple spikes that are generated intrinsically and complex spikes that are induced by climbing fiber inputs. Although the functions of these spikes are becoming clear, how they are established is still poorly understood. Here, we used in vivo electrophysiology approaches conducted in anesthetized and awake mice to record Purkinje cell activity starting from the second postnatal week of development through to adulthood. We found that the rate of complex spike firing increases sharply at 3 wk of age whereas the rate of simple spike firing gradually increases until 4 wk of age. We also found that compared with adult, the pattern of simple spike firing during development is more irregular as the cells tend to fire in bursts that are interrupted by long pauses. The regularity in simple spike firing only reached maturity at 4 wk of age. In contrast, the adult complex spike pattern was already evident by the second week of life, remaining consistent across all ages. Analyses of Purkinje cells in alert behaving mice suggested that the adult patterns are attained more than a week after the completion of key morphogenetic processes such as migration, lamination, and foliation. Purkinje cell activity is therefore dynamically sculpted throughout postnatal development, traversing several critical events that are required for circuit formation. Overall, we show that simple spike and complex spike firing develop with unique developmental trajectories.


1983 ◽  
Vol 50 (1) ◽  
pp. 205-219 ◽  
Author(s):  
T. J. Ebner ◽  
Q. X. Yu ◽  
J. R. Bloedel

These experiments were designed to test the hypothesis that climbing fiber inputs evoked by a peripheral stimulus increase the responsiveness of Purkinje cells to mossy fiber inputs. This hypothesis was based on a previous series of observations demonstrating that spontaneous climbing fiber inputs are associated with an accentuation of the Purkinje cell responses to subsequent mossy fiber inputs (10, 12). Furthermore, short-term nonpersistent interactions between climbing and mossy fiber inputs have been an important aspect of many theories of cerebellar function (5, 7, 8, 12, 36). Extracellular unitary recordings were made from Purkinje cells in lobule V of decerebrate, unanesthetized cats. To activate mossy and climbing fiber inputs, the forepaw was passively flexed by a Ling vibrator system. A data analysis was developed to sort the simple spike trials into two groups, based on the presence or absence of complex spikes activated by the stimulus. In addition, during those trials in which complex spikes were activated, the simple spike train was aligned on the occurrence of the complex spike. For each simple spike response to the forepaw input, the average firing rate during the response was compared to background both in those trials in which complex spikes were activated and in those in which they were not. The ratio of the response amplitudes in the histograms constructed from these two groups of trials permitted a quantification of the change in responsiveness when climbing fiber inputs were activated. The results show that both excitatory and inhibitory simple spike responses are accentuated when associated with the activation of a complex spike. Using an arbitrary level of a gain change ratio of 120% as indicating a significant modification, 64% of the response components analyzed increased their amplitude when climbing fiber input was present. Simple spike response components occurring prior to complex spike activation were usually not accentuated, although in a few cells the amplitude of this component of the response increased. In addition, in a small number of cells the occurrence of complex spikes was associated with a new simple spike component. For excitatory responses, the magnitude of the gain change ratio was shown to be inversely related to the amplitude of the simple spike response evoked by the mossy fiber inputs. The data obtained is consistent with the hypothesis that the climbing fiber input is associated with an increase in the responsiveness of Purkinje cells to mossy fiber inputs. The increased responsiveness occurs whether the simple spike modulation evoked by the peripheral stimulus is excitatory or inhibitory. The change in responsiveness is short term and nonpersistent. It is argued that the activation of climbing fiber inputs to the cerebellar cortex is associated with an increase in the gain of Purkinje cells to mossy fiber inputs activated by natural peripheral stimuli.


2020 ◽  
Author(s):  
Amelia Burroughs ◽  
Nadia L. Cerminara ◽  
Richard Apps ◽  
Conor Houghton

AbstractPurkinje cells are the principal neurons of the cerebellar cortex. One of their distinguishing features is that they fire two distinct types of action potential, called simple and complex spikes, which interact with one another. Simple spikes are stereotypical action potentials that are elicited at high, but variable, rates (0 – 100 Hz) and have a consistent waveform. Complex spikes are composed of an initial action potential followed by a burst of lower amplitude spikelets. Complex spikes occur at comparatively low rates (~ 1 Hz) and have a variable waveform. Although they are critical to cerebellar operation a simple model that describes the complex spike waveform is lacking. Here, a novel single-compartment model of Purkinje cell electrodynamics is presented. The simpler version of this model, with two active conductances and a leak channel, can simulate the features typical of complex spikes recorded in vitro. If calcium dynamics are also included, the model can capture the pause in simple spike activity that occurs after complex spike events. Together, these models provide an insight into the mechanisms behind complex spike spikelet generation, waveform variability and their interactions with simple spike activity.


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