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A teleological explanation of Weber’s law and the motor unit size law. (English) Zbl 0409.92001

MSC:
92Cxx Physiological, cellular and medical topics
92B05 General biology and biomathematics
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[1] Birnbaum, Z. W. 1964.Introduction to Probability and Mathematical Statistics, pp. 61–70. Harper and Row.
[2] Biró, G. and L. D. Partridge. 1971. ”Analysis of Multiunit Spike Records.”J. Appl. Physiol.,30, 521–526.
[3] Boring, E. G. 1942.Sensation and Perception in the History of Experimental Psychology. Appleton.
[4] Buchthal, F., C. Guld and P. Rosenfalck. 1957. ”Volume Conduction of the Spike of the Motor Unit Potential Investigated with a New Type of Multielectrode.”Acta Physiol. Scand.,38, 331–354.
[5] –, and H. Schmalbruch. 1970. ”Contraction Times and Fibre Types in Intact Human Muscle.”Acta Physiol. Scand.,79, 435–452.
[6] Close, R. I. 1972. ”Dynamic Properties of Mammalian Skeletal Muscle.”Physiol. Rev.,52, 129–197.
[7] Ditchburn, R. W. 1963.Light, pp. 784–801. Blackie & Son.
[8] Drischel, H. 1973.Einführung in die Biokybernetik, pp. 203–228. Akademie-Verlag.
[9] Eberstein, A. and J. Goodgold. 1968. ”Slow and Fast Twitch Fibres in Human Skeletal Muscle.”Am. J. Physiol.,215, 535–541.
[10] Fechner, G. T. 1862.Elemente der Psychophysik, pp. 548–560. Breitkopf & Härtel.
[11] Feinstein, B., B. Lindegard, E. Nyman and G. Wohlfart 1955. ”Morphologic Studies of Motor Units in Normal Human Muscles.”Acta Anat. 23, 127–142.
[12] Gydikov, A. and D. Kosarov. 1973. ”Physiological Characteristics of the Tonic and Phasic Motor Units in Human Muscles.” InMotor Control Eds. Gydikov, Tankov and Kosarov, pp. 75–94. Plenum Press.
[13] Håkansson, C. H. 1957. ”Action Potentials Recorded Intra- and Extracellularly from the Isolated Frog Muscle Fibre in Ringer’s Solution and in Air.”Acta Physiol. Scand.,39, 291–312.
[14] Hatze, H. 1977a. ”A Myocybernetic Control Model of Skeletal Muscle.”Biol. Cybernetics,25, 103–119. · Zbl 0346.92011
[15] –, 1977b. ”The Relative Contribution of Motor Unit Recruitment and Rate Coding to the Production of Static Isometric Muscle Force.”Biol. Cybernetics,27, 21–25.
[16] – and J. D. Buys. 1977. ”Energy-Optimal Controls in the Mammalian Neuromuscular System.”Biol. Cybernetics,27, 9–20. · Zbl 0396.92009
[17] Henneman, E. 1968. ”Peripheral Mechanisms Involved in the Control of Muscle.” InMedical Physiology Ed. V. B. Mountcastle, pp. 1697–1716. Mosby.
[18] Jarcho, L. W., C. L. Vera, C. H. McCarthy and P. M. Williams. 1958. ”The Form of Motor Unit and Fibrillation Potentials.”Electroencephal. Clin. Neurophysiol.,10, 527–540.
[19] Katz, B. 1950. ”Depolarization of Sensory Terminals and the Initiation of Impulses in the Muscle Spindle.”J. Physiol.,111, 261–282.
[20] Kuffler, S. W. and J. G. Nicholls. 1976.From Neuron to Brain, pp. 183–188. Sinauer Asosc.
[21] MacKay, D. M. 1963. ”Psychophysics of Perceived Intensity: A Theoretical Basis for Fechner’s and Stevens’ Laws.”Science,139, 1213–1216.
[22] Matthews, B. H. C. 1931. ”The Response of a Single End Organ.”J. Physiol. 71, 64–110.
[23] Milner-Brown, H. S., R. B. Stein and R. Yemm. 1973a. ”The Orderly Recruitment of Human Motor Units During Voluntary Isometric Contractions.”J. Physiol.,230, 359–370.
[24] —- and –. 1973b. ”Changes in Firing Rate of Human Motor Units During Linearly Changing Voluntary Contractions.”J. Physiol.,230, 371–390.
[25] – and –. 1975. ”The Relation Between the Surface Electromyogram and Muscular Force.”J. Physiol.,246, 549–569.
[26] Milsum, J. H. 1966.Biological Control Systems Analysis. McGraw-Hill.
[27] Person, R. S. and L. P. Kudina. 1972. ”Discharge Frequency and Discharge Pattern of Human Motor Units During Voluntary Contraction of Muscle.”Electroenceph. Clin. Neurophysiol.,32, 471–483.
[28] Reza, F. M. 1960. ”Study of Systems Reliability Entropy of a Continuous Channel.” S. U. R. I. Report No. EE-507-6001-F, p. 5.
[29] Round, H. 1966.The Hamilton-Jacobi Theory in the Calculus of Variations, pp. 35, 139. Van Nostrand.
[30] Ruch, T. C. and J. F. Fulton. 1961.Medical Physiology and Biophysics, p. 421. Saunders.
[31] Shannon, C. E. 1948. ”A Mathematical Theory of Communication.”Bell Systems Techn. J.,27, 379–423, 623–656. · Zbl 1154.94303
[32] Siebert, W. M. 1973. ”Stochastic Limitations on Sensory Performance”. InLectures on Mathematics in the Life Sciences, Vol. 5, pp. 48–74. American Mathematical Society.
[33] Stein, R. B. 1974. ”Peripheral Control of Movement.”Physiol. Rev. 54, 215–243.
[34] Stevens, S. S. 1961.Sensory Communication. Ed. W. A. Rosenblith. M.I.T. Press.
[35] Weber, E. H. 1834, ”De Pulsu, Resorptione, Auditu et Tactu.”
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