Abstract
Although the passive electrical properties of neural membranes are well modeled by linear résistive-capacitive (RC) ladder networks, they do not account for the nonlinear current-voltage (I–V) relations which are observed in most neural cells. Typically the I–V relations of neuronal membranes are obtained using a voltage-clamp paradigm where it is, generally difficult to maintain a uniform transmembrane voltage. This chapter describes a white-noise identification scheme which identifies both the dendritic RC ladder networks and the somatic nonlinear I–V relations of hippocampal neurons.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bardakjian, B.L. (1990) Characterization of passive electrical properties of excitable cells using optimization methods. Med. Prog, through Tech., 16:11–17.
Charalambous, C. (1977) Nonlinear least pth optimization and nonlinear programming. Math. Prog., 12:195–225.
D’Aguanno, A., Bardakjian, B.L. and Carlen, P.L. (1986) Passive neuronal membrane parameters: Comparison of optimization and peeling methods. IEEE Trans. Biomed. Eng., 33:1188–1196.
D’Aguanno, A., Bardakjian, B.L. and Carlen, P.L. (1989) A system model for investigating passive electrical properties of neurons. Biophys. J., 55:1169–1182.
Durand, D. (1984) The shunt cable model for neurons. Biophys. J., 46:645–653.
Fletcher, R. (1970) A new approach to variable metric algorithms. Comput. J., 13:317–322.
Fu, P., Bardakjian, B.L. and Carlen, PL. (1989) Computation of the passive electrical parameters of neurons using a system model. IEEE Trans. Biomed. Eng., BME-3655–64.
Grundfest, H. (1972) N-shaped characteristics in living membranes, In: Perspectives in Membrane Biophysics, Ch. 3, Agin, D.P. (ed.), Gordon & Breach Publ., Cooper Station, New York, pp. 37–63.
Hamill, O.P., Marty, A., Neher, B., Sakmann, B. and Sigworth, F.J. (1981) Improved patch-clamp techniques for high resolution current recording from cells and cell-free membrane patches. Pflugers Archives, 391:85–100.
Hille, B. (1992) Ionic Channels of Excitable Membranes, Sinauer Associates, Inc., Sunderland, Massachusetts.
Hindmarsh, A.C. (1983) Odepack, a systematized collection of ODE solvers, In: Scientific Computing, Stepleman, R.S. et al., eds., North-Holland, pp. 55–64.
Jack, J.J.B., Noble, D., and Tsien, R.W. (1983) Electric Current Flow in Excitable Cells, Clarendon Press, Oxford, England.
Korenberg, M.J. (1988) Identifying nonlinear difference equation and functional expansion representations: The fast orthogonal algorithm. Annals of Biomed. Eng., 16:123–142.
Marmarelis, P.Z. and Marmarelis V.Z. (1978) Analysis of Physiological Systems: The White-Noise Approach, Plenum Press, New York, New York.
Rail, W. (1969) Time constants and electronic length of membrane cylinders and neurons. Biophys. J., 9:1483–1508.
Rail, W. (1977) Core Conductor Theory and Cable Properties of Neurons, In: Handbook of Physiology: The Nervous System I, Chapter 3, American Physiological Society.
Wiener, N. (1958) Nonlinear Problems in Random Theory, John Wiley & Sons, New York, New York.
Wolfram, S. (1991) Mathematica: A System for Doing Mathematics by Computer, Addison-Wesley, Reading, Massachusetts.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Bardakjian, B.L., Wright, W.N., Valiante, T.A., Carlen, P.L. (1994). Nonlinear System Identification of Hippocampal Neurons. In: Marmarelis, V.Z. (eds) Advanced Methods of Physiological System Modeling. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9024-5_9
Download citation
DOI: https://doi.org/10.1007/978-1-4757-9024-5_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9026-9
Online ISBN: 978-1-4757-9024-5
eBook Packages: Springer Book Archive