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A method to estimate the effects of parallel inputs on neuronal discharge probability

  • Excitable Tissues and Central Nervous Physiology
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Abstract

We here present a method to study the interaction of parallel neural input channels regarding their effects on a neurone. In particular, the method allows to disclose the effects of oligosynaptic pathways that may exist in parallel to direct monosynaptic connections to the cell. Two (or more) inputs (nerves) are stimulated with random patterns of stimuli. The response of the cell to these patterns is evaluated by the computation of peristimulus-time histograms (PSTHs). One of the two stimulus trains is selected as the one to yield reference events for the PSTH computation. From this stimulus train are selected those stimuli as reference events which are preceded, at defined mean intervals, by stimuli in the same or a parallel channel. These “conditioning” stimuli are determined (1) separately from each single stimulus train and (2) concomitantly from the two trains as events occurring simultaneously in both. The effects exerted by these various conditioning events on the effects of the “test” pulses on the cell response yield insights into the interactions between the two (or more) inputs. These methods are demonstrated on spinal Renshaw cells activated by independent random stimulation of two muscle nerves and on dorsal horn neurones responding to cutaneous nerve stimulation.

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References

  • Abeles M (1982) Local cortical circuits. An electrophysiological study. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Baldissera F, Hultborn H, Illert M (1981) Integration in spinal neuronal systems. In: Brooks VB (ed) The nervous system. Handbook of Physiology, vol II, part 1. Am Physiol Soc, pp 509-95

  • Brink EE, Suzuki I (1987) Recurrent inhibitory connexions among neck motoneurones in the cat. J Physiol (Lond) 383:301–326

    CAS  Google Scholar 

  • Christakos CN, Windhorst U, Rissing R, Meyer-Lohmann J (1987) Frequency response of spinal Renshaw cells activated by stochastic motor axon stimulation. Neuroscience 23:613–623

    Article  CAS  PubMed  Google Scholar 

  • Collins III WF, Honig MG, Mendell LM (1984) Heterogeneity of group Ia synapses on homonymous α-motoneurons as revealed by high-frequency stimulation of Ia afferent fibers. J Neurophysiol 52:980–993

    PubMed  Google Scholar 

  • Eccles JC, Eccles RM, Iggo A, Lundberg A (1961) Electrophysiological investigations on Renshaw cells. J Physiol (Lond) 159:461–478

    CAS  Google Scholar 

  • Hultborn H, Pierrot-Deseilligny E (1979) Input-output relations in the pathway of recurrent inhibition to motoneurones in the cat. J Physiol (Lond) 297:267–287

    CAS  Google Scholar 

  • Jankowska E, Odutola A (1980) Crossed and uncrossed synaptic actions on motoneurones of back muscles in the cat. Brain Res 194:65–78

    Article  CAS  PubMed  Google Scholar 

  • Krausz HI (1975) Identification of nonlinear systems using random impulse train inputs. Biol Cybern 19:217–230

    Article  Google Scholar 

  • Laouris Y, Windhorst U, Rissing R, Meyer-Lohmann J, Kuipers U (1988) Time constants of facilitation and depression in the responses of spinal Renshaw cells to random stimulation of motor axons. Exp Brain Res 72:117–128

    Article  CAS  PubMed  Google Scholar 

  • Malsburg C von der (1985) Nervous structures with dynamical links. Ber Bunsenges Phys Chem 89:703–710

    Google Scholar 

  • Mannard A, Stein RB (1973) Determination of the frequency response of isometric soleus muscle in the cat using random nerve stimulation. J Physiol (Lond) 229:275–296

    CAS  Google Scholar 

  • Marmarelis PZ, Marmarelis VZ (1978) Analysis of physiological systems: the white noise approach. Plenum Press, New York

    Google Scholar 

  • Perkel DH, Gerstein GL, Moore GP (1967) Neuronal spike trains and stochastic point processes. II. Simultaneous spike trains. Biophys J 7:419–440

    Article  CAS  PubMed  Google Scholar 

  • Ryall RW (1970) Renshaw cell mediated inhibition of Renshaw cells: patterns of excitation and inhibition from impulses in motor-axon collaterals. J Neurophysiol 33:257–270

    CAS  PubMed  Google Scholar 

  • Ryall RW (1981) Patterns of recurrent excitation and mutual inhibition of cat Renshaw cells. J Physiol (Lond) 316:439–452

    CAS  Google Scholar 

  • Walmsley B, Tracey DJ (1981) An intracellular study of Renshaw cells. Brain Res 223:170–175

    Article  CAS  PubMed  Google Scholar 

  • Windhorst U (1988) How brain-like is the spinal cord? Interacting cell assemblies in the nervous system. Springer Berlin Heidelberg New York Tokyo

    Google Scholar 

  • Windhorst U, Niemann U, Koehler W (1983) Analysis of nonlinear physiological systems with single or multiple spike inputs and analogue or spike outputs. Biol Cybern 48:159–163

    Article  CAS  PubMed  Google Scholar 

  • Windhorst U, Rissing R, Meyer-Lohmann J (1987) After-effects of stochastic synaptic Renshaw cell excitation on their discharge probability. Brain Res 408:289–294

    Article  CAS  PubMed  Google Scholar 

  • Windhorst U, Rissing R, Meyer-Lohmann J, Laouris Y, Kuipers U (1989) Facilitation and depression in the responses of spinal Renshaw cells to random stimulation of motor axons. J Neurophysiol 60:1638–1652

    Google Scholar 

Download references

Acknowledgement

This work was supported in part by the Deutsche Forschungsgemeinschaft (SFB 33: “Nervensystem und biologische Information”, Göttingen). We are grateful to Mrs. B. Müller-Fechner and to Mrs. U. deBuhr for technical assistance, and to Mr. H. Schultens for improving the English text.

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Windhorst, U., Laouris, Y., Kokkoroyiannis, T. et al. A method to estimate the effects of parallel inputs on neuronal discharge probability. Pflugers Arch. 413, 622 (1989). https://doi.org/10.1007/BF00581812

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  • DOI: https://doi.org/10.1007/BF00581812

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