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The parameter identification problem for the somatic shunt model

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Abstract

The somatic shunt model, a generalized version of the Rall equivalent cylinder model, is used commonly to describe the passive electrotonic properties of neurons. Procedures for determining the parameters of the somatic shunt model that best describe a given neuron typically rely on the response of the cell to a small step of hyperpolarizing current injected by an intrasomatic recording electrode. In this study it is shown that the problem of estimating model parameters for the somatic shunt model using physiological data is ill-posed, in that very small errors in measured data can lead to large and unpredictable errors in parameter estimates. If the somatic shunt is assumed to be a real property of the intact neuron, the effects of these errors are not severe when predicting EPSP waveshapes resulting from synaptic input at a given location. However, if the somatic shunt is assumed to be a consequence of a leakage pathway around the recording electrode, and a correction for the shunt is applied, then the instability of the inverse problem can introduce large errors in estimates of EPSP waveshape as a function of synaptic location in the intact cell. Morphological constraints can be used to improve the accuracy of the inversion procedure in terms of both parameter estimates and predicted EPSP responses.

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References

  • Brown TH, Fricke RA, Perkel DH (1981a) Passive electrical constants in three classes of hippocampal neurons. J Neurophys 46:812–827

    Google Scholar 

  • Brown TH, Perkel DH, Norris JC, Peacock JH (1981b) Electrotonic structure and specific membrane properties of mouse dorsal root ganglion neurons. J Neurophys 46:1–15

    Google Scholar 

  • Clements JD, Redman SJ (1989) Cable properties of cat spinal motoneurones measured by combining voltage clamp, current clamp and intracellular straining. J. Physiol 409:63–87

    Google Scholar 

  • Cole KS (1968) Membranes, ions and impulses. University of California Press, Berkeley

    Google Scholar 

  • Coleman PA, Miller RF (1989) Measurement of passive membrane parameters with whole-cell recording from neurons in the intact amphibian retina. J Neurophys 61:218–230

    Google Scholar 

  • D'Aguanno A, Bardakjian BJ, Carlen PL (1986) Passive neuronal membrane parameters: Comparison of optimization and peeling methods. IEEE Trans Biomed Eng 33:1188–1196

    Google Scholar 

  • Durand D (1984) The somatic shunt cable model for neurons. Biophys J 46:645–653

    Google Scholar 

  • Durand D, Carlen PL, Gurevich N, Ho A, Kunov H (1983) Electrotonic parameters of rat dentate granule cells measured using short current pulses and HRP staining. J Neurophys 50:1080–1097

    Google Scholar 

  • Edwards FA, Konnerth A, Sakmann B, Takahashi T (1989) A thin slice preparation for patch clamp recordings from neurones of the mammalian central nervous system. Eur J Physiol 414:600–612

    Google Scholar 

  • Fu P, D'Aguanno A, Bardakjian BJ, Carlen PL (1989) Computation of the passive electrical parameters of neurons using a system model. IEEE Trans Biomed Eng 36:55–64

    Google Scholar 

  • Holmes WR, Rall W (1987) Estimating the electrotonic structure of neurons which cannot be approximated as equivalent cylinders. Soc Neurosci (abstr) 13:1517

    Google Scholar 

  • Iansek R, Redman SJ (1973) An analysis of the cable properties of spinal motoneurones using a brief intracellular current pulse. J Physiol 234:613–636

    Google Scholar 

  • Jack JJB, Redman SJ (1971) An electrical description of the motoneurone, and its application to the analysis of synaptic potentials. J Physiol 215:321–352

    Google Scholar 

  • Jack JJB, Noble D, Tsien RW (1975) Electric current flow in excitable cells. Clarendon Press, Oxford

    Google Scholar 

  • Jack JJB, Redman SJ, Wong K (1981) The components of synaptic potentials evoked in cat spinal motoneurones by impulses in single group Ia afferents. J Physiol 321:65–96

    Google Scholar 

  • Johnston D (1981) Passive cable properties of hippocampal CA3 pyramidal neurons. Cell Mol Neurobiol 1:41–55

    Google Scholar 

  • Kawato M (1984) Cable properties of a neuron model with non-uniform membrane resistivity. J Theor Biol 111:149–169

    Google Scholar 

  • Manis PB, Marx SO (1991) Outward currents in isolated ventral cochlear nucleus neurons. J Neurosci 11:2865–2880

    Google Scholar 

  • Nitzan R, Yarom Y, Segev I (1988) Voltage attenuation in cable models of vagal motoneurons. Soc Neurosci (abstr) 14:181

    Google Scholar 

  • Poznanski RR (1987) Techniques for obtaining analytical solutions for the somatic shunt cable model. Math Biosci 85:13–35

    Google Scholar 

  • Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1986) Numerical recipes: The art of scientific computing. Cambridge University Press, Cambridge

    Google Scholar 

  • Rall W (1962) Theory of physiological properties of dendrites. Ann NY Acad Sci 96:1071–1092

    Google Scholar 

  • Rall W (1969) Time constants and electrotonic lengths of membrane cylinders and neurons. Biophys J 9:1509–1541

    Google Scholar 

  • Rall W (1977) Core conductor theory and cable properties of neurons. In: Kandel ER (ed) Handbook of physiology, Sect. I: The nervous system, Vol I: Cellular biology of neurons. American Physiological Society, Bethesda, MD, pp 39–77

    Google Scholar 

  • Rall W (1989) Cable theory for dendritic neurons. In: Koch C, Segev I (eds) Methods in neuronal modeling: from synapses to networks. MIT Press, Cambridge, pp 9–62

    Google Scholar 

  • Rose PK, Brennan P (1989) Somatic shunts in neck motoneurons of the cat. Soc Neurosci (abstr) 15:922

    Google Scholar 

  • Rose PK, Dagum A (1988) Nonequivalent cylinder models of neurons: interpretation of voltage transients generated by somatic current injection. J Neurophys 60:125–148

    Google Scholar 

  • Shelton DP (1985) Membrane resistivity estimated for the Purkinje neuron by means of a passive computer model. Neuroscience 14:111–131

    Google Scholar 

  • Stratford K, Mason A, Larkman A, Major G, Jack J (1989) The modeling of pyramidal neurones in the visual cortex. In: Durbin R, Miall C, Mitchison G (eds) The computing neuron. Addison-Wesley, Wokingham, pp 296–321

    Google Scholar 

  • Walmsley B, Stuklis R (1989) Effects of temporal dispersion of synaptic input on the time course of synaptic potentials. J Neurophys 61:681–687

    Google Scholar 

  • White JA (1990) Electrotonic models of stellate cells of the ventral cochlear nucleus. (Doctoral dissertation) The Johns Hopkins University, Baltimore, MD

    Google Scholar 

  • White JA, Young ED, Manis PB (1990) Application of new electrotonic modeling methods: Results from Type I cells in guinea pig ventral cochlear nucleus. Soc Neurosci (abstr) 16:870

    Google Scholar 

  • Wilson CJ (1990) Can somatic shunt conductance be measured by peeling exponentials? Soc Neurosci (abstr) 16:468

    Google Scholar 

  • Young ED, Shofner WP, White JA, Robert J-M, Voigt HF (1988) Response properties of cochlear nucleus neurons in relationship to physiological mechanisms. In: Edelman GM, Gall WE, Cowan WM (eds) Auditory function: neurobiological bases of hearing. Wiley, New York, pp 277–312

    Google Scholar 

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White, J.A., Manis, P.B. & Young, E.D. The parameter identification problem for the somatic shunt model. Biol. Cybern. 66, 307–318 (1992). https://doi.org/10.1007/BF00203667

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