Phân tích hồi quy ngược bậc ba đối với phản ứng của sợi dây thần kinh cảm giác chính ở vòng cơ đối với sự kéo căng cơ ngẫu nhiên

Baker CL, Hartline DK (1978) Nonlinear systems analysis of repetitive firing behaviour in the crayfish stretch receptor. Biol Cybern 29:105–113 Boer de E, Kuyper P (1968) Triggered correlation. IEEE Biomed Eng 15:169–179 Bryant HL, Segundo JP (1976) Spike initiation by transmembrane current: a white-noise analysis. J. Physiol (Lond) 260:279–314 Eggermont JJ, Johannesma PIM, Aertsen AMH (1983) Reverse-correlation methods in auditory research. Q Rev Biophys 16:341–414 French AS, Korenberg MJ (1989) A nonlinear cascade model for action potential encoding in an insect sensory neuron. Biophys J 55:655–661 French AS, Wong RKS (1977) Non-linear analysis of sensory transduction in an inset mechano-receptor. Biol Cybern 26:231–240 Granit R, Henatsch HD (1956) Gamma control of dynamic properties of muscle spindles J Neurophysiol 19:356–366 Grüsser O-J, Thiele B (1968) Reaktionen primärer und sekundärer Muskelspindelafferenzen auf sinusfömige mechanische Reizung. I. Variation der Sinusfrequenz. Pflügers Arch 300:161–184 Houk JC, Rymer WZ, Crago PE (1981) Dependence of dynamic response on spindle receptors on muscle length and velocity. J Neurophysiol 46:143–166 Hulliger M, Matthews PBC, Noth J (1977) Static and dynamic fusimotor action on the response of Ia fibres to low frequency sinusoidal stretching of widely ranging amplitude. J Physiol 267:811–838 Kondoh Y, Morishita H, Arima T, Okuma J, Hasegawa Y (1991) White noise analysis of graded response in a wind-sensitive, nonspiking interneuron of the cockroach. J Comp Physiol 168:429–443 Korenberg MJ (1988) Identifying nonlinear difference equation and functional expansion representations: the fast othogonal algorithm. Ann Biomed Eng 16:123–142 Korenberg MJ, French AS, Voo SKL (1988) White-noise analysis of nonlinear behaviour in an insect sensory neuron: kernel and cascade approaches. Biol Cybern 58:313–320 Korenberg MJ, Sakai HM, Naka K-I (1989) Dissection of the neuron network in the catfish inner retina. II. Interpretation of spike kernels. J Neurophysiol 61:1110–1120 Krausz HI, Friesen WO (1977) The analysis of nonlinear synaptic transmission. J Gen Physiol 70:243–265 Kröller J (1992) Band-limited white noise stimulation and reverse correlation analysis in the prediction of impulse responses of encoder models. Biol Cybern 67:207–215 Kröller J (1993) Reverse correlation analysis of the stretch response of primary muscle spindle afferent fibers. Biol Cybern 69:447–456 Kröller J, Grüsser O-J (1982) Responses of cat dorsal spino-cerebellar tract neurons to sinusoidal stretching of the gastrocnemius muscle. Pflügers Arch 395:99–107 Kröller J, Weiss L (1983) The silent period in the stretch response of Ia-activated dorsal spino-cerebellar tract neurons to sinusoidal muscle stretch in cats. Biol Cybern 48:195–199 Kröller J, Grüsser O-J, Weiss L (1985) The response of primary muscle spindle endings to random muscle stretch: a quantitative analysis. Exp Brain Res 61:1–10 Kröller J, Grüsser O-J, Weiss L-R (1988) Superimposing noise linearizes the response of primary muscle spindle afferents to sinusoidal muscle stretch. Biol Cybern 60:131–137 Lee YW, Schetzen M (1965) Measurement of the Wiener kernels of a nonlinear system by cross-correlation. Int J Control 2:237–254 Lennerstrand G, Thoden V (1968) Dynamic analysis of muscle spindle endings in the cat using length changes of different length-time relations. Acta Physiol Scand 73:234–250 Mancini M, Madden BC, Emerson RC (1990) White noise analysis of temporal properties in simple receptive fields. Biol Cybern 63:209–219 Marmarelis PZ, Marmarelis VZ (1978) Analysis of physiological systems. Plenum Press, New York Marmarelis PZ, Naka K-I (1973) Nonlinear analysis and synthesis of receptive field responses in the catfish retina. II. One-input white noise analysis. J Neurophysiol 36:619–633 Marmarelis VZ, Citron MC, Vivo CP (1986) Minimum-order Wiener modelling of spike-output systems. Biol Cybern 54:115–123 Matthews PBC (1963) The response of deefferented muscle spindle receptors to stretching at different velocities. J Physiol (Lond) 168:600–678 Moore GP, Auriemma RA (1985) Prediction of muscle stretch receptor behaviour using Wiener kernels. Brain Res 331:185–189 Moore GP, Stuart DG, Stauffer GK, Reinking R (1975) White noise analysis of mammalian muscle receptors. In: McCann GD, Marmarelis (eds) Proceedings of First Symposium on Testing and Identification on Nonlinear Systems. California Institute of Technology, Pasadena, Calif, pp 316–324 Naka KI, Sakai HM (1991) The message in optic nerve fibers and their interpretation. Brain Res Rev 16:135–149 Palm G, Poggio T (1977) Wiener-like system identification in physiology. J Math Biol 4:375–381 Pöpel B, Querfurth H (1984) The transducer and encoder of frog muscle spindles are essentially nonlinear: physiological conclusions from white-noise analysis. Biol Cybern 51:21–32 Poppele RE (1981) An analysis of muscle spindle behaviour using randomly applied stretches. Neuroscience 6:1157–1165 Sakai HM, Naka K-I, Korenberg MJ (1988) White noise analysis in visual neuroscience. Vis Neurosci 1:287–296 Sakuranaga M, Ando Y-I, Naka K-I (1987) Dynamics of the ganglion cell response in the catfish and frog retinas. J Gen Physiol 90:229–259 Schäfer SS (1973) The characteristic curves of the dynamic response of primary muscle spindle endings in the absence and presence of stimulation of fusimotor fibers. Brain Res 59:395–399 Schellart NAM, Spekreijse H (1972) Dynamic characteristics of retinal ganglion cell responses in goldfish. J Gen Physiol 59:1–21 Spekreijse H, Oosting H (1970) Linearizing: a method for analysing and synthesizing nonlinear systems. Kybernetik 7:22–31 Stuart D, Ott K, Ishikawa K, Eldred E (1965) Muscle receptor responses to sinusoidal stretch. Exp Neurol 13:82–95 Wickesberg RE, Geisler CD (1984) Artifacts in Wiener kernels estimated using Gaussian white noise. IEEE Biomed Eng 31:454–461 Wiener N (1988) Nonlinear problems in random theory. Wiley, New York Wray J, Green CGR (1994) Calculation of the Volterra kernels of non-linear dynamic systems using an artificial neural network. Biol Cybern 71:187–195