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E De Schutter

Publications and source records attributed to E De Schutter.

34 records · Page 2Linked to original sources

The role of synaptic and voltage-gated currents in the control of Purkinje cell spiking: a modeling study.

We have used a realistic computer model to examine interactions between synaptic and intrinsic voltage-gated currents during somatic spiking in cerebellar Purkinje cells. We have shown previously that this model generates realistic in vivo patterns of somatic spiking in the presence of continuous background excitatory and inhibitory input (). In the present study, we analyzed the flow of synaptic and intrinsic currents across the dendritic membrane and the interaction between the soma and dendrite underlying this spiking behavior. This analysis revealed that: (1) dendritic inward current flow was dominated by a noninactivating P-type calcium current, resulting in a continuous level of depolarization; (2) the mean level of this depolarization was controlled by the mean rate of excitatory and inhibitory synaptic input; (3) the synaptic control involved a voltage-clamping mechanism exerted by changes of synaptic driving force at different membrane potentials; (4) the resulting total current through excitatory and inhibitory synapses was near-zero, with a small outward bias opposing the P-type calcium current; (5) overall, the dendrite acted as a variable current sink with respect to the soma, slowing down intrinsic inward currents in the soma; (6) the somato-dendritic current showed important phasic changes during each spike cycle; and (7) the precise timing of somatic spikes was the result of complex interactions between somatic and dendritic currents that did not directly reflect the timing of synaptic input. These modeling results suggest that Purkinje cells act quite differently from simple summation devices, as has been assumed previously in most models of cerebellar function. Specific physiologically testable predictions are discussed.

Action Potentials↗

The cerebellum: cortical processing and theory.

Several advances over the past year have made necessary a complete re-evaluation of the function of the cerebellum and of the role of cerebellar synaptic plasticity. These advances include the discovery of parallel fiber induced long-term depression, the presence of normal motor coordination in the absence of cerebellar long-term depression in knock-out mice, and the strong activation of the cerebellar nuclei while sensory tasks are performed.

Animals↗

Modeling the leech heartbeat elemental oscillator. I. Interactions of intrinsic and synaptic currents.

We have developed a biophysical model of a pair of reciprocally inhibitory interneurons comprising an elemental heartbeat oscillator of the leech. We incorporate various intrinsic and synaptic ionic currents based on voltage-clamp data. Synaptic transmission between the interneurons consists of both a graded and a spike-mediated component. By using maximal conductances as parameters, we have constructed a canonical model whose activity appears close to the real neurons. Oscillations in the model arise from interactions between synaptic and intrinsic currents. The inhibitory synaptic currents hyperpolarize the cell, resulting in activation of a hyperpolarization-activated inward current Ih and the removal of inactivation from regenerative inward currents. These inward currents depolarize the cell to produce spiking and inhibit the opposite cell. Spike-mediated IPSPs in the inhibited neuron cause inactivation of low-threshold Ca++ currents that are responsible for generating the graded synaptic inhibition in the opposite cell. Thus, although the model cells can potentially generate large graded IPSPs, synaptic inhibition during canonical oscillations is dominated by the spike-mediated component.

Animals↗

Cerebellar long-term depression might normalize excitation of Purkinje cells: a hypothesis.

Long-term depression (LTD) of parallel-fibre (PF) synapses on Purkinje cells is usually interpreted in the context of a specific theory of motor learning by the cerebellum proposed by Marr, Albus and Ito. Several arguments suggest that this theory might be false. A new hypothesis about the role of cerebellar LTD proposes that, under physiological conditions, LTD is autoinduced by PF inputs. This proposal is based on the capacity of PF inputs to trigger influx of Ca2+ into the dendrite. Long-term depression and other forms of Purkinje-cell synaptic plasticity are part of a local negative feedback loop that prevents overstimulation of Purkinje cells by PF inputs. This theory explains why it is difficult to induce LTD when a normal level of inhibition is present, and why inhibitory inputs are potentiated by the same conditions that can induce LTD of PF synapses.

Animals↗

Simulated responses of cerebellar Purkinje cells are independent of the dendritic location of granule cell synaptic inputs.

Cerebellar Purkinje cell responses to granule cell synaptic inputs were examined with a computer model including active dendritic conductances. Dendritic P-type Ca2+ channels amplified postsynaptic responses when the model was firing at a physiological rate. Small synchronous excitatory inputs applied distally on the large dendritic tree resulted in somatic responses of similar size to those generated by more proximal inputs. In contrast, in a passive model the somatic postsynaptic potentials to distal inputs were 76% smaller. The model predicts that the somatic firing response of Purkinje cells is relatively insensitive to the exact dendritic location of synaptic inputs. We describe a mechanism of Ca2+-mediated synaptic amplification, based on the subspiking threshold recruitment of P-type Ca2+ channels in the dendritic branches surrounding the input site.

Animals↗

Voltage-imaging and simulation of effects of voltage- and agonist-activated conductances on soma-dendritic voltage coupling in cerebellar Purkinje cells.

We investigated the spread of membrane voltage changes from the soma into the dendrites of cerebellar Purkinje cells by using voltage-imaging techniques in combination with intracellular recordings and by performing computer simulations using a detailed compartmental model of a cerebellar Purkinje cell. Fluorescence signals from single Purkinje cells in cerebellar cultures stained with the styryl dye di-4-ANEPPS were detected with a 10 x 10 photodiode array and a charge coupled device (CCD). Fluorescence intensity decreased and increased with membrane depolarization and hyperpolarization, respectively. The relation between fractional fluorescence change (delta F/F) and membrane potential could be described by a linear function with a slope of up to -3%/100 mV. Hyperpolarizing and depolarizing voltage jumps applied to Purkinje cells voltage-clamped with an intrasomatic recording electrode induced dendritic dye signals, demonstrating that these voltage transients invaded the dendrites. Dye signals induced by depolarizing somatic voltage jumps were weaker in the dendrites, when compared with those induced by hyperpolarizing voltage jumps. Dendritic responses to hyperpolarizing voltage steps applied at the soma were attenuated when membrane conductance was increased by muscimol, an agonist for GABA(A) receptors. Corresponding experimental protocols were applied to a previously developed detailed compartmental model of a Purkinje cell. In the model, as in the electrophysiological recordings, voltage attenuation from soma to dendrites increased under conditions where membrane conductance is increased by depolarization or by activation of GABA(A) receptors, respectively. We discuss how these results affect voltage clamp studies of synaptic currents and synaptic integration in Purkinje cells.

Animals↗

An active membrane model of the cerebellar Purkinje cell. I. Simulation of current clamps in slice.

1. A detailed compartmental model of a cerebellar Purkinje cell with active dendritic membrane was constructed. The model was based on anatomic reconstructions of single Purkinje cells and included 10 different types of voltage-dependent channels described by Hodgkin-Huxley equations, derived from Purkinje cell-specific voltage-clamp data where available. These channels included a fast and persistent Na+ channel, three voltage-dependent K+ channels, T-type and P-type Ca2+ channels, and two types of Ca(2+)-activated K+ channels. 2. The ionic channels were distributed differentially over three zones of the model, with Na+ channels in the soma, fast K+ channels in the soma and main dendrite, and Ca2+ channels and Ca(2+)-activated K+ channels in the entire dendrite. Channel densities in the model were varied until it could reproduce Purkinje cell responses to current injections in the soma or dendrite, as observed in slice recordings. 3. As in real Purkinje cells, the model generated two types of spiking behavior. In response to small current injections the model fired exclusively fast somatic spikes. These somatic spikes were caused by Na+ channels and repolarized by the delayed rectifier. When higher-amplitude current injections were given, sodium spiking increased in frequency until the model generated large dendritic Ca2+ spikes. Analysis of membrane currents underlying this behavior showed that these Ca2+ spikes were caused by the P-type Ca2+ channel and repolarized by the BK-type Ca(2+)-activated K+ channel. As in pharmacological blocking experiments, removal of Na+ channels abolished the fast spikes and removal of Ca2+ channels removed Ca2+ spiking. 4. In addition to spiking behavior, the model also produced slow plateau potentials in both the dendrite and soma. These longer-duration potentials occurred in response to both short and prolonged current steps. Analysis of the model demonstrated that the plateau potentials in the soma were caused by the window current component of the fast Na+ current, which was much larger than the current through the persistent Na+ channels. Plateau potentials in the dendrite were carried by the same P-type Ca2+ channel that was also responsible for Ca2+ spike generation. The P channel could participate in both model functions because of the low-threshold K2-type Ca(2+)-activated K+ channel, which dynamically changed the threshold for dendritic spike generation through a negative feedback loop with the activation kinetics of the P-type Ca2+ channel. 5. These model responses were robust to changes in the densities of all of the ionic channels.(ABSTRACT TRUNCATED AT 400 WORDS)

Animals↗

An active membrane model of the cerebellar Purkinje cell II. Simulation of synaptic responses.

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)

Animals↗

A model of graded synaptic transmission for use in dynamic network simulations.

1. The heartbeat central pattern-generating network of the medicinal leech contains elemental neural oscillators, comprising reciprocally inhibitory pairs of segmental heart interneurons, that use graded as well as spike-mediated synaptic transmission. We are in the process of developing a general computer model of this pattern generator. Our modeling goal is to explore the interaction of membrane currents and synaptic transmission that promote oscillation in heart interneurons. As a first step toward this goal, we have developed a computer model of graded synaptic transmission between reciprocally inhibitory heart interneurons. Previously gathered voltage-clamp data of presynaptic Ca2+ currents and simultaneous postsynaptic currents and potentials (5 mM external [Ca2+]) were used as the bases of the model. 2. We assumed that presynaptic Ca2+ current was composed of distinct fast (ICaF) and slow (Icas) components because there are two distinct time courses of inactivation for this current. We fitted standard Hodgkin-Huxley equations (Eq. 1 and 2, APPENDIX) to these components using first-order activation and inactivation kinetics. 3. Graded synaptic transfer in the model is based on calculation of a dimensionless variable [P]. A portion of both IcaF and ICaS determined by a factor A contributes to [P], and a removal factor B decreases [P] (Eq. 4, APPENDIX). [P] can be roughly equated to the [Ca2+] in an unspecified volume that is effective in causing transmitter release. Transmitter release, and thus postsynaptic conductance, is related to [P]3 (Eq. 3, APPENDIX). 4. We adapted our model to voltage-clamp data gathered at physiological external [Ca2+] (2.0 mM) and tested it for shorter presynaptic voltage steps. Presynaptic Ca2+ currents and synaptic transfer were well simulated under all conditions. 5. The graded synaptic transfer model could be used in a network simulation to reproduce the oscillatory activity of a reciprocally inhibitory pair of heart interneurons. Because synaptic transmission in the model is an explicit function of presynaptic Ca2+ current, the model should prove useful to explore the interaction between membrane currents and synaptic transmission that promote and modulate oscillation in reciprocally inhibitory heart interneurons.

Adaptation, Physiological↗

Motor-pattern-generating networks in invertebrates: modeling our way toward understanding.

Motor-pattern-generating networks in invertebrates have been the objects of intensive study to determine the origin and modulation of rhythmic neural activity. In some pattern generators, intrinsically bursting neurons drive activity throughout the network. In most pattern generators, however, rhythmicity arises from the interplay between intrinsic membrane properties and synaptic interaction. Reciprocal inhibitory synapses between neurons are thought to be crucial for generating oscillation in these networks, but a fundamental understanding of how such network oscillators work remains elusive. Progress towards this goal has come from attempts to combine computational modeling approaches with conventional physiological analysis.

Animals↗

Computer software for development and simulation of compartmental models of neurons.

A software package 'Nodus' for simulation and development of compartmental models of neurons is described. Passive or excitable membranes with voltage dependent ion conductances or synaptic conductances can be modeled. Detailed simulations of morphology and electrophysiology of neurons are possible. Neurophysiological experiments like voltage clamps and complex current injections can be simulated. Two integration methods are available: a fast hybrid method and an accurate fifth order Runge-Kutta method, with variable time steps. Nodus is implemented on Apple Macintosh microcomputers, with the standard user interface and interactive graphics. Simulations of simple test models demonstrate the accuracy and computation speed of the application.

Computer Simulation↗

Spinal neuroaxonal dystrophy and angioneuromatosis.

A man of 75 years of age had had lightning pains in the legs for 8 years. Clinical examination demonstrated mild pyramidal signs and involvement of the posterior columns. A morphine pump was placed in the epidural space in the lumbar region to treat the pain. He died two weeks later from a massive pulmonary embolism. The nervous system was examined using the classical techniques along with the use of poly- and monoclonal antibodies against nervous system specific proteins. The following features were demonstrated: neuroaxonal dystrophy of the posterior and anterior horns, and the posterior columns and corticospinal pathways in decreasing order of importance; angioneuromatosis of the grey matter of the lumbosacral spinal cord and loss of neurons of the dorsal spinal root ganglia and bilateral degeneration of the fasciculus gracilis. Previously, we have only found such amounts of spheroids in the spinal cord as measured here in cases of Seitelberger's disease. The angioneuromatosis was isolated and did not result from previous trauma nor was it associated with a known phacomatosis. This combination of features is very unusual and may explain the clinical features including the lightning pains.

Aged↗

Alternative equations for the molluscan ion currents described by Connor and Stevens.

The measurements of the ion conductances in molluscan somata, published by Connor and Stevens (1971), were converted into Hodgkin-Huxley like equations. The accuracy of these equations was shown with simulations. An advantage of these equations, compared to the original equations for the fast outward K+(A)-conductance, is that they are suitable for use in standard computer programs for neuronal modelling. The equations were compared with other reports in the literature.

Action Potentials↗

Modulatory effects of parallel fiber and molecular layer interneuron synaptic activity on purkinje cell responses to ascending segment input: a modeling study.

Based on anatomical, physiological, and model-based studies, it has been proposed that synapses associated with the ascending segment of granule cell axons provide the principle excitatory drive on Purkinje cells which is then modulated by the more numerous parallel fiber synapses. In this study we have evaluated this idea using a detailed compartmental model of a cerebellar Purkinje cell by providing identical ascending segment synaptic inputs during different levels of random parallel fiber and molecular interneuron input. Results suggest that background inputs from parallel fibers and molecular layer interneurons can have a substantial effect on the response of Purkinje cells to ascending segment inputs. Interestingly, these effects are not reflected in the average firing rate of the Purkinje cell and are thus entirely dendritic in effect. These results are considered in the context of the known segregated spatial distribution of the parallel fibers and ascending segment synapses and a new hypothesis concerning the functional organization of cerebellar cortical circuitry.

Animals↗