A study and model of the role of the Renshaw cell in regulating the transient firing rate of the motoneuron
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Abstract
This study sought to investigate the role of the Renshaw cell with respect to transient motoneuron firing. By studying the cat motoneuron and Renshaw cell, several low-order lumped parameter models were developed that simulate the known characteristics of the injected input current vs. firing rate. The neuron models in the Renshaw cell inhibition configuration were tuned to fit experimental data from cat motoneurons. Models included both linear versions and those with sigmoidal nonlinearities. Results of the simulation indicate that the motoneuron itself provides the adaptation seen in its firing rate and that the Renshaw cell's role is primarily to fine-tune the motoneuron's adaptation process.
Keywords
Experimental Data Firing Rate Adaptation Process Neuron Model Cell InhibitionPreview
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References
- Agarwal, GC Gottlieb GL (1982) Mathematical modeling and simulation of the postural control loop. Part I. CRC Crit Rev Bioeng 8:93–134Google Scholar
- Anderson ME, Binder MD (1989) Spinal and supraspinal control of movement and posture, In: Steiner R (eds) Textbook of physiology. Saunders, PhiladelphiaGoogle Scholar
- Baldissera F, Gustafsson B (1974) Firing behavior of a neuron model based on the afterhyperpolarization conductance time course and algebraical summation. Adaptation and steady state firing, Acta Physiol Scand 92:27–47Google Scholar
- Baldissera F, Campadelli P, Piccinelli L (1982) Neural encoding of input transients investigated by intracellular injection of ramp currents in cat alpha motoneurones. J Physiol (Lond) 328:73–86Google Scholar
- Baldissera F, Campadelli P, Piccinelli L (1987) The dynamic response of cat gastrocnemius motor units investigated by ramp-current injection into their motoneurones. J Physiol (Lond) 387:317–330.Google Scholar
- Binder MD (1989) Properties of motor units In: Patton HD, Fuchs AF, Hille B, Scher AM, Steiner R (eds) Textbook of physiology. Saunders, PhiladelphiaGoogle Scholar
- Chandler WK, Meves H (1970) Evidence for two types of sodium conductance in axons perfused with sodium fluoride solution. J Physiol (Lond) 211:653–678Google Scholar
- Chou CP, Hannaford B (1992) Dual stable point model of muscle activation and deactivation, Biol Cybern 66:511–523Google Scholar
- Eccles JC, Eccles RM, Iggo A, Lundberg A (1961) Electrophysiological investigations on Renshaw cells. J Physiol (Lond) 159:461–478Google Scholar
- Frankenhaeuser B, Huxley AF (1964) The action potential in the myelinated nerve fiber of Xenopus laevis as computed on the basis of voltage clamp data. J Physiol (Lond) 171:302Google Scholar
- Granit R, Kernell D, Shortess GK (1963) Quantitative aspects of repetitive firing of mammalian motoneurones caused by injected currents. J Physiol (Lond) 168:911–931Google Scholar
- Hannaford B (1990) A non-linear model of the phasic dynamics of muscle activation, IEEE Trans Biomed Eng 37:1067–1075Google Scholar
- Hodgkin AL, Huxley AF (1952) A quantitative description of membrane currents and its application of conduction of excitation in nerve. J Physiol (Lond) 117:500–544Google Scholar
- Hultborn H, Pierrot-Deseilligny E (1979) Input-output relations in the pathway of recurrent inhibition to motoneurones in the cat. J Physiol (Lond) 297:267–287Google Scholar
- Hultborn H, Lindstrom S, Wingstrom H (1979) On the function of recurrent inhibition in the spinal cord. Exp Brain Res 37:399–403Google Scholar
- Kernell D (1965a) The adaptation and the relation between discharge frequency and current strength of cat lumbosacral motoneurones stimulated by long-lasting injected currents. Acta Physiol Scand 65:65–73Google Scholar
- Kernell D (1965b) High frequency repetitive firing of cat lumbosacral motoneurones stimulated by long-lasting injected currents. Acta Physiol Scand 65:74–86Google Scholar
- Kernell D (1965c), The limits of firing frequency in cat lumbosacral motoneurones possessing different time course of afterhyperpolarization. Acta Physiol Scand 65:87–100Google Scholar
- Kernell D (1983) Functional properties of spinal motoneurons and gradation of muscle force. In: Desmedt JE (eds) Motor control mechanisms in health and disease. Raven Press, New YorkGoogle Scholar
- LeMasson G, Marder E, Abbott LF (1993) Activity-dependent regulation of conductances in model neurons. Science 259:1915–1917Google Scholar
- Lindsay AD, Binder MD (1991) Distribution of effective synaptic currents underlying recurrent inhibition in cat triceps surae motoneurons. J Neurophysiol 65:168–177Google Scholar
- Macduff I, Venema S, Hannaford B (1992) The anthroform neural controller: a system for detailed emulation of neural circuits. Proc IEEE Int Conf Syst Man Cybern Chicago, October, 1992, pp117–122Google Scholar
- McCulloch WS, Pitts W (1943) A logical calculus of the ideas immanent in nervous activity. Bull Math. Biophys 5Google Scholar
- Purple RL, Dodge FA (1966) Self-inhibition in the eye of Limulus. In: Functional organization of the compound eye. Pergamon Press, OxfordGoogle Scholar
- Redman SJ, Lampard DJ, Annal P (1968) Monosynaptic stochastic stimulation of cat spinal motoneurones. II. Frequency transfer characteristics of tonically discharging motoneurones. J Neurophysiol 31:499Google Scholar
- Rosenblatt F (1962) Principles of neurodynamics. Spartan, New YorkGoogle Scholar
- Ross H, Cleveland S, Haase J (1975) Contribution of single motoneurons of Renshaw cell activity. Neurosci Lett 1:105–108Google Scholar
- Ross H, Cleveland S, Haase J (1976) Quantitative relation between discharge frequencies of a Renshaw cell and an interacellularly depolarized motoneuron. Neurosci Lett 3:129–132Google Scholar
- Ross H, Cleveland S, Kuschmierz (1982) Dynamic properties of Renshaw cells: Equivalence of responses to step changes in recruitment and discharge frequency of motor axons. Pflugers Archiv 394:239–242Google Scholar
- Rumelhart DE, Hinton GE, Williams RJ (1986) Learning internal representations by error propagation. In: McClelland JL (eds) Parallel distributed processing: explorations in the microstruture of cognition. MIT Press, Cambridge, MassGoogle Scholar
- Schwindt PC, Crill WE. (1989) Transformation of synaptic input into spike trains in central mammalian neurons. In: Patton HD, Fuchs AF, Hille B, Scher AM, Steiner R (eds) Textbook of physiology. Saunders, PhiladelphiaGoogle Scholar
- Shamma S (1989) Spatial and temporal processing in central auditory networks In: Segev I (eds) Methods in neuronal modeling. MIT Press, Cambridge, MassGoogle Scholar
- Stein RB, Leung KV, Mangeron D, Oguztoreli MN (1974) Improved neuronal models for studying neural networks. Kybernetik 15:1–9Google Scholar
- Thomas RC (1969) Membrane current and intracellular sodium changes in a snail neurone during extrusion of injected sodium. J Physiol (Lond) 201:495–514Google Scholar
- Yamada WM, Koch C, Adams PR (1989) Multiple channels and calcium dynamics. In: Segev I (eds) Methods in neuronal modeling. MIT Press, Cambridge, MassGoogle Scholar