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Intracellular nonlinear frequency response measurements in the cockroach tactile spine neuron

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Abstract

The threshold of the cockroach tactile neuron increases strongly with depolarization by a process involving at least two time constants. This effect is probably responsible for the rapid and complete adaptation of the neuron's response to step inputs. A technique for intracellular recording and stimulation of the neuron has recently been established and this allows direct observation of the dynamic response of the neuronal encoder. A white noise stimulus was used to modulate the membrane potential of the neuron. The first-order frequency response function between membrane potential and action potential discharge could be explained by a variable threshold model with two time constants. Second-order frequency response functions could be accounted for by a Wiener cascade model. The dynamic nonlinear behavior of the encoder can therefore be explained by a unidirectional threshold which increases linearly and dynamically with membrane potential.

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References

  • Basarsky TA, French AS (1991) Intracellular measurements from a rapidly adapting sensory neuron. J Neurophysiol 65:49–56

    Google Scholar 

  • Bendat JS, Piersol AG (1980) Engineering applications of correlation and spectral analysis. Wiley, New York

    Google Scholar 

  • Bohnenberger J (1981) Matched transfer characteristics of single units in a compound slit sense organ. J Comp Physiol A 142:391–402

    Google Scholar 

  • Chesler M, Fourtner CR (1981) Mechanical properties of a slow muscle in the cockroach. J Neurobiol 12:391–402

    Google Scholar 

  • Cooley JW, Tukey JW (1965) An algorithm for the machine calculation of complex Fourier series. Math Comput 19:297–301

    Google Scholar 

  • Dickinson MH (1990) Linear and nonlinear encoding properties of an identified mechanoreceptor on the fly wing measured with mechanical noise stimuli. J Exp Biol 151:219–244

    Google Scholar 

  • French AS (1976) Practical nonlinear system analysis by Wiener kernel estimation in the frequency domain. Biol Cybern 24:111–119

    Google Scholar 

  • French AS (1984a) The receptor potential and adaptation in the cockroach tactile spine. J Neurosci 4:2063–2068

    Google Scholar 

  • French AS (1984b) Action potential adaptation in the cockroach tactile spine. J Comp Physiol A 155:803–812

    Google Scholar 

  • French AS (1986) Strength-duration properties of a rapidly adapting insect sensory neuron. J Comp Physiol A 159:757–764

    Google Scholar 

  • French AS (1988) Transduction mechanisms of mechanosensilla. Annu Rev Entomol 33:39–58

    Google Scholar 

  • French AS (1989a) Two components of rapid sensory adaptation in a cockroach mechanoreceptor neuron. J Neurophysiol 62:768–777

    Google Scholar 

  • French AS (1989b) Ouabain selectively affects the slow component of sensory adaptation in an insect mechanoreceptor. Brain Res 504:112–114

    Google Scholar 

  • French AS, Butz EG (1973) Measuring the Wiener kernels of a nonlinear system using the fast Fourier transform. Int J Control 17:529–539

    Google Scholar 

  • French AS, Holden AV (1971) Alias-free sampling of neuronal spike trains. Kybernetik 8:165–171

    Google Scholar 

  • French AS, Korenberg MJ (1989) A nonlinear cascade model for action potential encoding in an insect sensory neuron. Biophys J 55:655–661

    Google Scholar 

  • French AS, Kuster JE (1981) Sensory transduction in an insect mechanoreceptor: extended bandwidth measurements and sensitivity to stimulus strength. Biol Cybern 42:87–94

    Google Scholar 

  • Gestrelius S, Grampp W (1983) Impulse firing in the slowly adapting stretch receptor neurone of lobster and its numerical simulation. Acta Physiol Scand 118:253–261

    Google Scholar 

  • Hunter IW, Korenberg MJ (1986) The identification of nonlinear biological systems: Wiener and Hammerstein cascade models. Biol Cybern 55:135–144

    Google Scholar 

  • Korenberg MJ (1988) Identifying nonlinear difference equation and functional expansion representations: the fast orthogonal algorithm. Ann Biomed Eng 16:123–142

    Google Scholar 

  • Korenberg MJ, French AS, Voo SKL (1988) White-noise analysis of nonlinear behavior in an insect sensory neuron: kernel and cascade approaches. Biol Cybern 58:313–320

    Google Scholar 

  • Lewis DV, Wilson WA (1982) Calcium influx and post-stimulus current during early adaptation in Aplysia giant neurons. J Neurophysiol 48:202–216

    Google Scholar 

  • Looft FJ (1990) Linear sysems analysis of cutaneous type I mechanoreceptors. IEEE Trans Biomed Eng 37:565–573

    Google Scholar 

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

    Google Scholar 

  • Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1990) Numerical recipes in C. The art of scientific computing. Cambridge University Press, Cambridge

    Google Scholar 

  • Quandt FN (1987) Burst kinetics of sodium channels which lack fast inactivation in mouse neuroblastoma cells. J Physiol Lond 392:563–585

    Google Scholar 

  • Ramirez J-M, French AS (1990) Phentolamine selectively affects the fast sodium component of sensory adaptation in an insect mechanoreceptor. J Neurobiol 21:893–899

    Google Scholar 

  • Sokolove PG, Cooke IM (1971) Inhibition of impulse activity in a sensory neurone by an electrogenic pump. J Gen Physiol 57:125–163

    Google Scholar 

  • Wiener N (1958) Nonlinear problems in random theory. Wiley, New York

    Google Scholar 

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Stockbridge, L.L., Torkkeli, P.H. & French, A.S. Intracellular nonlinear frequency response measurements in the cockroach tactile spine neuron. Biol. Cybern. 65, 181–187 (1991). https://doi.org/10.1007/BF00198089

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  • DOI: https://doi.org/10.1007/BF00198089

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