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A quantitative description of membrane current and its application to conduction and excitation in nerve

A. L. Hodgkin, +1 more
- 28 Aug 1952 - 
- Vol. 117, Iss: 4, pp 500-544
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TLDR
This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.
Abstract
This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre (Hodgkinet al, 1952,J Physiol116, 424–448; Hodgkin and Huxley, 1952,J Physiol116, 449–566) Its general object is to discuss the results of the preceding papers (Section 1), to put them into mathematical form (Section 2) and to show that they will account for conduction and excitation in quantitative terms (Sections 3–6)

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Citations
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Journal ArticleDOI

Energy variational analysis of ions in water and channels: Field theory for primitive models of complex ionic fluids

TL;DR: A variational method EnVarA (energy variational analysis) is used that combines Hamilton's least action and Rayleigh's dissipation principles to create a variational field theory that includes flow, friction, and complex structure with physical boundary conditions of ions next to a charged wall.
Journal ArticleDOI

Estimating kinetic constants from single channel data.

R. Horn, +1 more
- 01 Aug 1983 - 
TL;DR: The process underlying the opening and closing of ionic channels in biological or artificial lipid membranes can be modeled kinetically as a time-homogeneous Markov chain, suitable for nonstationary data in which one or more independent channels are functioning simultaneously.
Journal ArticleDOI

Cable theory in neurons with active, linearized membranes.

TL;DR: This investigation aims at exploring some of the functional consequences of single neurons containing active, voltage dependent channels for information processing, and study the linearized behaviour of active channels giving rise to quasi-active membranes in extended neuronal structures.
Journal ArticleDOI

Computation of Impulse Conduction in Myelinated Fibers; Theoretical Basis of the Velocity-Diameter Relation

L. Goldman, +1 more
- 01 May 1968 - 
TL;DR: Dimensional analysis shows that these anatomical conditions are equivalent to Rushton's (1951) assumption of corresponding states, and conduction velocity will be proportional to fiber diameter, in complete agreement with the experimental findings.
Book ChapterDOI

Dynamics systems vs. optimal control--a unifying view.

TL;DR: A computational approach to motor control is developed that offers a unifying modeling framework for both dynamic systems and optimal control approaches and demonstrates how the computational ideas allow both the representation of self-organizing processes and the optimization of movement based on reward criteria.
References
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Journal ArticleDOI

Potential, impedance, and rectification in membranes

TL;DR: A theoretical picture has been presented based on the use of the general kinetic equations for ion motion under the influence of diffusion and electrical forces and on a consideration of possible membrane structures that shows qualitative agreement with the rectification properties and very good agreementwith the membrane potential data.
Journal ArticleDOI

Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo

TL;DR: The identity of the ions which carry the various phases of the membrane current is chiefly concerned with sodium ions, since there is much evidence that the rising phase of the action potential is caused by the entry of these ions.
Journal ArticleDOI

Measurement of current-voltage relations in the membrane of the giant axon of Loligo.

TL;DR: The importance of ionic movements in excitable tissues has been emphasized by a number of recent experiments which are consistent with the theory that nervous conduction depends on a specific increase in permeability which allows sodium ions to move from the more concentrated solution outside a nerve fibre to the more dilute solution inside it.
Journal ArticleDOI

The dual effect of membrane potential on sodium conductance in the giant axon of Loligo

TL;DR: This paper contains a further account of the electrical properties of the giant axon of Loligo and deals with the 'inactivation' process which gradually reduces sodium permeability after it has undergone the initial rise associated with depolarization.