Analytical models of propagation in excitable cells

Progress in Biophysics and Molecular Biology

Volumn 30, Issue C, 1976, Pages 99-144

  Hunter, P J ^a   McNaughton, P A ^a   Noble, D ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ANIMAL; BIOLOGICAL MODEL; CELL MEMBRANE; CELL MEMBRANE POTENTIAL; ELECTRIC CONDUCTIVITY; KINETICS; MATHEMATICS; NERVE CELL; NERVOUS SYSTEM FUNCTION; PHYSIOLOGY; PURKINJE FIBER; REVIEW; SQUID;

ACTION POTENTIALS; ANIMAL; CELL MEMBRANE; ELECTRIC CONDUCTIVITY; KINETICS; MATHEMATICS; MEMBRANE POTENTIALS; MODELS, BIOLOGICAL; NERVOUS SYSTEM PHYSIOLOGY; NEURONS; PURKINJE FIBERS; SQUID;

EID: 0016674530     PISSN: 00796107     EISSN: None     Source Type: Journal    
DOI: 10.1016/0079-6107(76)90007-9     Document Type: Review

References (50)

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2. Currents related to movement of the gating particles of the sodium channels
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4. Electric impedance of the squid giant axon during activity
5. Digital computer solutions for excitation and propagation of the nerve impulse
6. Digital computer solutions for excitable membrane models
7. A comparison of the conduction velocity in cardiac tissues of various mammals
8. Cardiac resting and action potentials recorded with an intracellular electrode
9. Voltage and time dependence of excitatory sodium current in heart muscle (Purkinje fibres)
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11. Nerve axon equations II Stability at rest
12. Nerve axon equations III Stability of the nerve impulse
13. Thresholds and plateaus in the Hodgkin-Huxley nerve equations
14. Impulses and physiological states in theoretical models of nerve membrane
15. Mathematical models of excitation and propagation
16. The action potential in the myelinated nerve fibre of Xenopus laevis as computed on the basis of voltage clamp data
17. Computation of impulse conduction in myelinated fibres: theoretical basis of the velocity-diameter relation
18. Inactivation of the sodium current in Myxicola giant axons. Evidence for coupling to the activation process
19. On a third-order differential equation from biology
20. Linear analysis of membrane conductance and capacitance in cardiac Purkinje fibres
21. Zur Theorie der Erregungsleitung und der elektrischen Erregung
22. Evidence for electrical transmission in nerve
23. Evidence for electrical transmission in nerve
24. The optimum density of sodium channels in an unmyelinated nerve
25. A quantitative description of membrane current and its application to conduction and excitation in nerve
26. The effect of temperature on the electrical activity of the giant axon of the squid
27. The electrical constants of a crustacean nerve fibre
28. Measurement of current-voltage relations in the membrane of the giant axon of Loligo
29. Ion movements during nerve activity
30. Can a nerve propagate a subthreshold disturbance?
31. Kinetics and steady-state properties of the charged system controlling sodium conductance in the squid giant axon
32. Nerve impulse propagation along non-uniform fibres
33. Reconstruction of the electrical activity of cardiac Purkinje fibres
34. Nagumo's equation
35. The surface area of sheep cardiac Purkinje fibres
36. An active pulse transmission line simulating nerve axon
37. The relation of Rushton's liminal length for excitation to the resting and active conductances of excitable cells
38. The conditions for initiating “all-or-nothing” repolarization in cardiac muscle
39. The threshold conditions for initiation of action potentials by excitable cells
40. A perturbation method for the analysis of impulse propagation in a mathematical neuron model
41. Nerve conduction theory: some mathematical consequences of Bernstein's model
42. Travelling wave solutions of a nerve conduction equation
43. Initiation of the propagated disturbance
44. Relaxation oscillations
45. Effect of current flow on the membrane potential of cardiac muscle
46. The electrical constants of Purkinje fibres
47. The effect of the cardiac membrane potential on the rapid availability of the sodium-carrying system