Analytical models of propagation in excitable cells

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

1952 • 21,965 citations

Impulses and Physiological States in Theoretical Models of Nerve Membrane

1961 • 5,825 citations

An Active Pulse Transmission Line Simulating Nerve Axon

1962 • 3,900 citations

Measurement of current‐voltage relations in the membrane of the giant axon of Loligo

1952 • 1,655 citations

Electric current flow in excitable cells

1976 • 1,353 citations

Membranes, Ions, and Impulses

1968 • 1,002 citations

LXXXVIII.On “relaxation-oscillations”

1926 • 958 citations

The effect of the cardiac membrane potential on the rapid availability of the sodium‐carrying system

1955 • 763 citations

The electrical constants of a crustacean nerve fibre

1946 • 756 citations

The action potential in the myelinated nerve fibre of Xenopus laevis as computed on the basis of voltage clamp data

1964 • 694 citations

Currents Related to Movement of the Gating Particles of the Sodium Channels

1973 • 664 citations

The electrical constants of Purkinje fibres

1952 • 628 citations

Reconstruction of the electrical activity of cardiac Purkinje fibres.

1975 • 562 citations

The effect of temperature on the electrical activity of the giant axon of the squid

1949 • 555 citations

ELECTRIC IMPEDANCE OF THE SQUID GIANT AXON DURING ACTIVITY

1939 • 550 citations

Biological Engineering

1970 • 502 citations

Nagumo's equation

1970 • 492 citations

Effect of current flow on the membrane potential of cardiac muscle

1951 • 488 citations

Cardiac resting and action potentials recorded with an intracellular electrode

1951 • 474 citations

Thresholds and Plateaus in the Hodgkin-Huxley Nerve Equations

1960 • 469 citations

Electric Current Flow in Excitable Cells.

1975 • 435 citations

Kinetics and steady‐state properties of the charged system controlling sodium conductance in the squid giant axon

1974 • 420 citations

Traveling Wave Solutions of a Nerve Conduction Equation

1973 • 412 citations

ION MOVEMENTS DURING NERVE ACTIVITY

1959 • 325 citations

Membranes, ions, and impulses.

1969 • 281 citations

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

1968 • 270 citations

Digital Computer Solutions for Excitation and Propagation of the Nerve Impulse

1966 • 268 citations

Nerve Axon Equations: III Stability of the Nerve Impulse

1972 • 225 citations

Evidence for electrical transmission in nerve

1937 • 201 citations

The surface area of sheep cardiac Purkinje fibres

1972 • 181 citations

Nerve Axon Equations: II Stability at Rest

1972 • 165 citations

Initiation of the propagated disturbance

1937 • 158 citations

Inactivation of the Sodium Current in Myxicola Giant Axons

1972 • 147 citations

The threshold conditions for initiation of action potentials by excitable cells

1966 • 147 citations

The optimum density of sodium channels in an unmyelinated nerve

1975 • 138 citations

Untitled

1972 • 125 citations

A COMPARISON OF THE CONDUCTION VELOCITY IN CARDIAC TISSUES OF VARIOUS MAMMALS

1959 • 112 citations

Voltage and time dependence of excitatory sodium current in cooled sheep Purkinje fibres

1970 • 95 citations

Nerve conduction theory: Some mathematical consequences of Bernstein's model

1940 • 69 citations

Digital computer solutions for excitable membrane models

1965 • 60 citations

Dependence on Temperature of the Conduction Velocity of the Action Potential of the Squid Giant Axon

1967 • 59 citations

Nerve conduction theory: Some mathematical consequences of Bernstein's model

1940 • 55 citations

Nerve impulse propagation along nonuniform fibres

1976 • 52 citations

The relation of Rushton's ‘liminal length’ for excitation to the resting and active conductances of excitable cells

1972 • 51 citations

THE EXISTENCE OF PERIODIC SOLUTIONS TO NAGUMO'S EQUATION

1974 • 50 citations

Zur Theorie der Erregungsleitung und der elektrischen Erregung

1899 • 42 citations

Linear analysis of membrane conductance and capacitance in cardiac Purkinje fibres

1974 • 30 citations

The Conditions for Initiating "All-or-Nothing" Repolarization in Cardiac Muscle

1963 • 29 citations

ON A THIRD ORDER DIFFERENTIAL EQUATION FROM BIOLOGY

1972 • 13 citations

A perturbation method for the analysis of impulse propagation in a mathematical neuron model

1973 • 2 citations