Tóth TI, Crunelli V. (1999). Solution of the nerve cable equation using Chebyshev approximations. Journal of neuroscience methods. 87 [PubMed]

See more from authors: Tóth TI · Crunelli V

References and models cited by this paper

Antal K, Emri Z, Tóth TI, Crunelli V. (1996). Model of a thalamocortical neurone with dendritic voltage-gated ion channels. Neuroreport. 7 [PubMed]

De Schutter E, Bower JM. (1994). An active membrane model of the cerebellar Purkinje cell. I. Simulation of current clamps in slice. Journal of neurophysiology. 71 [PubMed]

Destexhe A, Contreras D, Steriade M, Sejnowski TJ, Huguenard JR. (1996). In vivo, in vitro, and computational analysis of dendritic calcium currents in thalamic reticular neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 16 [PubMed]

Eaton JW. (1995). Octave Manual www.che.wisc.edu-octave.

Eccles JC. (1957). The Physiology Of Nerve Cells.

Funaro D. (1992). Approximation by the Legendre collocation method of a model problem in electrophysiology J Comput Appl Math. 43

Funaro D. (1992). Polynomial Approximation of Differential Equations.

Gottlieb D, Orszag SA. (1977). Numerical analysis of spectral methods: theory and applications Cbms-nsf Regional Conference Series In Applied Mathematics.

HODGKIN AL, HUXLEY AF. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of physiology. 117 [PubMed]

Hairer E, Wanner G. (1991). Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems Springer Series In Computational Mathematics.

Hines M. (1997). NEURON http:::www.neuron.yale.edu.

Jaeger D, De Schutter E, Bower JM. (1997). The role of synaptic and voltage-gated currents in the control of Purkinje cell spiking: a modeling study. The Journal of neuroscience : the official journal of the Society for Neuroscience. 17 [PubMed]

Jaeger JC, Carslaw HS. (1959). Conduction of Heat in Solids (2nd ed).

Kelvin WT. (1855). On the theory of the electric telegraph Proc R Soc. 7

Kirchhoff FU. (1847). U8 ber die Auflosung von Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Strome gefu hrt wird Ann Phys Chem. 72

Larkum ME, Rioult MG, Lüscher HR. (1996). Propagation of action potentials in the dendrites of neurons from rat spinal cord slice cultures. Journal of neurophysiology. 75 [PubMed]

Mainen ZF, Joerges J, Huguenard JR, Sejnowski TJ. (1995). A model of spike initiation in neocortical pyramidal neurons. Neuron. 15 [PubMed]

Major G, Larkman AU, Jonas P, Sakmann B, Jack JJ. (1994). Detailed passive cable models of whole-cell recorded CA3 pyramidal neurons in rat hippocampal slices. The Journal of neuroscience : the official journal of the Society for Neuroscience. 14 [PubMed]

Mascagni MV. (1989). Numerical methods for neuronal modeling. Methods in Neuronal Modeling.

Munsch T, Budde T, Pape HC. (1997). Voltage-activated intracellular calcium transients in thalamic relay cells and interneurons. Neuroreport. 8 [PubMed]

Ohm GS. (1827). Galvanische Kette Mathematisch Bearbeitet.

Poznanski RR. (1996). Transient response in a tapering cable model with somatic shunt. Neuroreport. 7 [PubMed]

Poznański RR. (1988). Membrane voltage changes in passive dendritic trees: a tapering equivalent cylinder model. IMA journal of mathematics applied in medicine and biology. 5 [PubMed]

Press WH, Teukolsky SA, Vetterling WT, Flannery BP. (1986). Numerical Recipes The Art Of Scientic Computing.

Rall W. (1977). Core conductor theory and cable properties of neurons Handbook of Physiology. The Nervous System. Cellular Biology of Neurons. 1(1.1)

Rall W. (1989). Cable theory for dendritic neurons Methods In Neuronal Modeling: From Synapses To Networks.

Strain J. (1995). Spectral methods for nonlinear parabolic systems J Comput Phys. 122

Stuart G, Spruston N, Sakmann B, Häusser M. (1997). Action potential initiation and backpropagation in neurons of the mammalian CNS. Trends in neurosciences. 20 [PubMed]

Toth TI, Crunelli V, Williams SR. (1996). Two types of bistable behaviour in thalamocortical neurones Proceedings of Cybernetics and Systems 96.

Trefethen LN. (1997). Pseudospectra of linear operators Siam Rev. 39

Trefethen LN, Trummer MR. (1987). An instability phenomenon in spectral methods Siam J Numer Anal. 24

Tsien RW, Noble D, Jack JJB. (1983). Linear cable theory Electrical Current Flow in Excitable Cells.

Zhou Q, Godwin DW, O'Malley DM, Adams PR. (1997). Visualization of calcium influx through channels that shape the burst and tonic firing modes of thalamic relay cells. Journal of neurophysiology. 77 [PubMed]

References and models that cite this paper

Carnevale NT, Hines M. (2003). Personal Communication of NEURON bibliography .

Lindsay KA, Ogden JM, Rosenberg JR. (2002). An investigation into the influence of boundary condition specification in finite difference methods on the behaviour of passive and active neuronal models. Progress in biophysics and molecular biology. 78 [PubMed]

Omurtag A, Lytton WW. (2010). Spectral method and high-order finite differences for the nonlinear cable equation. Neural computation. 22 [PubMed]

This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.