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Multi-loop representation of the segmental muscle stretch reflex

Its risk of instability

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Abstract

The multi-channel system of the segmental muscle stretch reflex arc is modelled as an arrangement of two or three parallel “component” loops coupled to each other at spinal and at muscle level. Such a model is thought to be more realistic than the usually adopted representation of the stretch reflex as a single negative feedback loop. Anatomical and physiological data were taken from the literature for an extensive simulation of the compound system with special reference to the problem of its stability. Particular emphasis was put on the question of which kind of central (spinal) connectivity is appropriate to best reduce the risk for instability which arises easily in certain system configurations. This paper describes the system and presents simple introductory computations apt to demonstrate the problems the physiological system has to cope with.

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References

  • Allum, J.H.J., Buetler, S.H.W.: Muscle mechanical, segmental, and supraspinal contributions to physiological tremor. Neurosci. Lett. [Suppl. 1] 89 (1978)

  • Allum, J.H.J., Dietz, V., Freund, H.J.: Neuronal mechanisms underlying physiological tremor. J. Neurophysiol. 41, 557–571 (1978)

    Google Scholar 

  • Bawa, P., Mannard, A., Stein, R.B.: Effects of elastic loads on the contractions of cat muscles. Biol. Cybernetics 22, 129–138 (1976a)

    Google Scholar 

  • Bawa, P., Mannard, A., Stein, R.B.: Predictions and experimental tests of a visco-elastic muscle model using elastic and inertial loads. Biol. Cybernetics 22, 139–145 (1976b)

    Google Scholar 

  • Bawa, P., Tatton, W.G.: Motor unit responses in muscles stretched by imposed displacements of the monkey wrist. Exp. Brain Res. 37, 417–437 (1979)

    Google Scholar 

  • Binder, M.D., Kroin, J.S., Moore, G.P., Stauffer, E.K., Stuart, D.G.: Correlation analysis of muscle spindle responses to single motor unit contractions. J. Physiol. (London) 257, 325–336 (1976)

    Google Scholar 

  • Burke, R.E.: The role of synaptic organization in the control of motor-unit activity during movement. In: Reflex control of posture and movement. Granit, R., Pompeiano, O. (eds.), pp. 61–67. (Progress in brain research, Vol. 50). Amsterdam: Elsevier 1979

    Google Scholar 

  • Burke, R.E., Rymer, W.Z., Walsh, J.V., Jr.: Relative strength of synaptic input from short-latency pathways to motor units of defined type in cat medial gastrocnemius. J. Neurophysiol. 39, 447–458 (1976)

    Google Scholar 

  • Cussons, P.D., Matthews, P.B.C., Muir, R.B.: Tremor in the tension developed isometrically by soleus during the tonic vibration reflex in the decerebrate cat. J. Physiol. (London) 292, 35–57 (1979)

    Google Scholar 

  • Desmedt, J.E. (ed.): Cerebral motor control in man: long loop mechanisms. (Progress in clinical neurophysiology, Vol. 4.) Basel: Karger 1978a

    Google Scholar 

  • Desmedt, J.E. (ed.): Physiological tremor, pathological tremors, and clonus. (Progress in clinical neurophysiology, Vol. 5.) Basel Karger 1978b

    Google Scholar 

  • Elble, R.J., Randall, J.E.: Motor-unit activity responsible for 8- to 12-Hz component of human physiological finger tremor. J. Neurophysiol. 39, 370–383 (1976)

    Google Scholar 

  • Goodwin, G.M., Hoffman, D., Luschei, E.S.: The strength of the reflex response to sinusoidal stretch of monkey jaw closing muscles during voluntary contraction. J. Physiol. (London) 279, 81–111 (1978)

    Google Scholar 

  • Inbar, G.F., Joseph, P.J.: Analysis of a model of the triceps surae muscle reflex control system. IEEE Trans. Syst. Man Cybernetics SMC- 6, 25–33 (1976)

    Google Scholar 

  • Kanda, K., Burke, R.E., Walmsley, B.: Differential control of fast and slow twitch motor units in the decerebrate cat. Exp. Brain Res. 29, 57–74 (1977)

    Google Scholar 

  • Lippold, O.C.J.: Oscillation in the stretch reflex arc and the origin of the rhythmical, 8–12 c/s component of physiological tremor. J. Physiol. (London) 206, 359–382 (1970)

    Google Scholar 

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

    Google Scholar 

  • Matthews, P.B.C., Stein, R.B.: The sensitivity of muscle spindle afferents to small sinusoidal changes of length. J. Physiol. (London) 200, 723–743 (1969)

    Google Scholar 

  • McPhedran, A.M., Wuerker, R.B., Henneman, E.: Properties of motor units in a homogeneous red muscle (soleus) of the cat. J. Neurophysiol. 28, 71–84 (1965)

    Google Scholar 

  • Mendell, L.M., Henneman, E.: Terminals of single Ia fibers: location, density, and distribution within a pool of 300 homonymous motoneurones. J. Neurophysiol. 34, 171–187 (1971)

    Google Scholar 

  • Mori, S.: Discharge patterns of soleus motor units with associated changes in force exerted by foot during quiet stance in man. J. Neurophysiol. 36, 458–471 (1973)

    Google Scholar 

  • Mori, S.: Entrainment of motor-unit discharges as a neuronal mechanism of synchronization. J. Neurophysiol. 38, 859–870 (1975)

    Google Scholar 

  • Oguztöreli, M.N., Stein, R.B.: The effects of multiple reflex pathways on the oscillations in neuro-muscular systems. J. Math. Biol. 3, 87–101 (1976)

    Google Scholar 

  • Poppele, R.E., Bowman, R.J.: Quantitative description of linear behavior of mammalian muscle spindles. J. Neurophysiol. 33, 59–72 (1970)

    Google Scholar 

  • Rack, P.M.H.: Mechanical and reflex factors in human tremor. In: Physiological tremor, pathological tremors, and clonus. Desmedt, J.E. (ed.), pp. 17–27. (Progress in clinical neurophysiology, Vol. 5.) Basel: Karger 1978

    Google Scholar 

  • Schwarz, H.: Frequenzgang- und Wurzelortskurvenverfahren. Mannheim: Bibliographisches Institut 1968

    Google Scholar 

  • Schwestka, R., Windhorst, U., Schaumberg, R.: Interaction between several muscle spindle afferents in the cat semitendinosus muscle. Pflügers Arch. 383, R 36 (1979)

    Google Scholar 

  • Scott, J.G., Mendell, L.M.: Individual EPSPs produced by single triceps surae Ia afferent fibres in homonymous and heteronymous motoneurons. J. Neurophysiol. 39, 679–692 (1976)

    Google Scholar 

  • Stein, R.B., Oguztöreli, M.N.: Does the velocity sensitivity of muscle spindles stabilize the stretch reflex? Biol. Cybernetics 23, 219–228 (1976a)

    Google Scholar 

  • Stein, R.B., Oguztöreli, M.N.: Tremor and other oscillations in neuromuscular systems. Biol. Cybernetics 22, 147–158 (1976b)

    Google Scholar 

  • Stiles, R.N.: Frequency and displacement amplitude relations for normal hand tremor. J. Appl. Physiol. 40, 44–54 (1976)

    Google Scholar 

  • Stiles, R.N., Pozos, R.S.: A mechanical-reflex oscilator hypothesis for Parkinsonian hand tremor. J. Appl. Physiol. 40, 990–998 (1976)

    Google Scholar 

  • Windhorst, U.: Origin and nature of correlations in the Ia feedback pathway of the muscle control system. Biol. Cybernetics 31, 71–79 (1978a)

    Google Scholar 

  • Windhorst, U.: Considerations on mechanisms of focussed signal transmission in the multi-channel muscle stretch reflex system. Biol. Cybernetics 31, 81–90 (1978b)

    Google Scholar 

  • Windhorst, U.: Auxiliary spinal networks for signal focussing in the segmental stretch reflex system. Biol. Cybernetics 34, 125–135 (1979a)

    Google Scholar 

  • Windhorst, U.: A possible partitioning of segmental muscle stretch reflex into incompletely de-coupled parallel loops. Biol. Cybernetics 34, 205–213 (1979b)

    Google Scholar 

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Koehler, W., Windhorst, U. Multi-loop representation of the segmental muscle stretch reflex. Biol. Cybernetics 38, 51–61 (1980). https://doi.org/10.1007/BF00337401

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  • DOI: https://doi.org/10.1007/BF00337401

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