From Maxwell's equations to the cable equation and beyond

Progress in Biophysics and Molecular Biology

Volumn 85, Issue 1, 2004, Pages 71-116

  Lindsay, K A ^a   Rosenberg, J R ^a   Tucker, G ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Cable equation; Finite elements; Maxwell's equations; Neuronal models; Regular perturbation expansions; Tapered dendrites

Indexed keywords

ANIMAL; CELL MEMBRANE; CELL MEMBRANE POTENTIAL; CHEMISTRY; DENDRITE; ELECTRIC CONDUCTIVITY; ELECTROMAGNETIC FIELD; ELECTROPHYSIOLOGY; MATHEMATICS; NERVE CELL; PHYSIOLOGY; REVIEW; THEORETICAL MODEL;

ANIMALS; CELL MEMBRANE; DENDRITES; ELECTRIC CONDUCTIVITY; ELECTROMAGNETIC FIELDS; ELECTROPHYSIOLOGY; MATHEMATICS; MEMBRANE POTENTIALS; MODELS, THEORETICAL; NEURONS;

EID: 1842588624     PISSN: 00796107     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pbiomolbio.2003.08.001     Document Type: Review

References (8)

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2. Jack J.J.B., Noble D., Tsien R.W. Electric Current Flow in Excitable Cells. 1988;Oxford University Press, Oxford.
3. Katz, B., 1966. Nerve, Muscle and Synapse. McGraw-Hill, New York, pp. 46-47.
4. Lindsay K.A., Ogden J.M., Rosenberg J.R. Advanced numerical methods for modelling dendrites. Poznanski R.R. Biophysical Neural Networks: Foundations of Integrative Neuroscience. 2001;411-493 Mary Ann Liebert Inc. New York.
5. Rall W. Theory of physiological properties of dendrites. Ann. NY Acad. Sci. 96:1962;1071-1092.
6. Rall W. Distributions of potential in cylindrical coordinates for a membrane cylinder. Biophys. J. 9:1969;1509-1541.
7. Rosenfalck, P., 1969. Intra- and extracellular potential fields of active nerve and muscle. Acta Physiol. Scand. (Suppl. 321), 1-168.
8. Segev, I., Rinzel, J., Shepherd, G.M. (Eds.), 1995. The Theoretical Foundation of Dendritic Function - Selected Papers of Wilfrid Rall with Commentaries. MIT Press, Cambridge, MA, pp. 456.