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Literature DB >> 656539

A numerical method to model excitable cells.

R W Joyner, M Westerfield, J W Moore, N Stockbridge.

Abstract

We have extended a fast, stable, and accurate method for the numerical solution of cable equations to include changes in geometry and membrane properties in order to model a single excitable cell realistically. In addition, by including the provision that the radius may be a function of distance along an axis, we have achieved a general and powerful method for simulating a cell with any number of branched processes, any or all of which may be nonuniform in diameter, and with no restriction on the branching pattern.

Mesh：

Substances：
Membranes, Artificial

Year: 1978 PMID： 656539 PMCID： PMC1473438 DOI： 10.1016/S0006-3495(78)85481-2

Source DB: PubMed Journal: Biophys J ISSN： 0006-3495 Impact factor: 4.033

16 in total

1. Propagation of action potentials in inhomogeneous axon regions.

Authors: F Ramón; R W Joyner; J W Moore
Journal: Fed Proc Date: 1975-04

2. Simulation of action potential propagation in an inhomogeneous sheet of coupled excitable cells.

Authors: R W Joyner; F Ramón; J W Morre
Journal: Circ Res Date: 1975-05 Impact factor: 17.367

3. Ion movements during nerve activity.

Authors: A F HUXLEY
Journal: Ann N Y Acad Sci Date: 1959-08-28 Impact factor: 5.691

4. The after-effects of impulses in the giant nerve fibres of Loligo.

Authors: B FRANKENHAEUSER; A L HODGKIN
Journal: J Physiol Date: 1956-02-28 Impact factor: 5.182

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

Authors: A L HODGKIN; A F HUXLEY
Journal: J Physiol Date: 1952-08 Impact factor: 5.182

6. Theoretical analysis of parameters leading to frequency modulation along an inhomogeneous axon.

Authors: I Parnas; S Hochstein; H Parnas
Journal: J Neurophysiol Date: 1976-07 Impact factor: 2.714

7. Time constants and electrotonic length of membrane cylinders and neurons.

Authors: W Rall
Journal: Biophys J Date: 1969-12 Impact factor: 4.033

8. Theoretical reconstruction of field potentials and dendrodendritic synaptic interactions in olfactory bulb.

Authors: W Rall; G M Shepherd
Journal: J Neurophysiol Date: 1968-11 Impact factor: 2.714

9. Simulations of conduction in uniform myelinated fibers. Relative sensitivity to changes in nodal and internodal parameters.

Authors: J W Moore; R W Joyner; M H Brill; S D Waxman; M Najar-Joa
Journal: Biophys J Date: 1978-02 Impact factor: 4.033

10. Temperature-sensitive conduction failure at axon branch points.

Authors: M Westerfield; R W Joyner; J W Moore
Journal: J Neurophysiol Date: 1978-01 Impact factor: 2.714

20 in total

1. Influence of dynamic gap junction resistance on impulse propagation in ventricular myocardium: a computer simulation study.

Authors: A P Henriquez; R Vogel; B J Muller-Borer; C S Henriquez; R Weingart; W E Cascio
Journal: Biophys J Date: 2001-10 Impact factor: 4.033

2. Effect of conduction block at axon bifurcations on synaptic transmission to different postsynaptic neurones in the leech.

Authors: X N Gu
Journal: J Physiol Date: 1991-09 Impact factor: 5.182

A numerical method to model excitable cells.

1. Propagation of action potentials in inhomogeneous axon regions.

2. Simulation of action potential propagation in an inhomogeneous sheet of coupled excitable cells.

3. Ion movements during nerve activity.

4. The after-effects of impulses in the giant nerve fibres of Loligo.

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

6. Theoretical analysis of parameters leading to frequency modulation along an inhomogeneous axon.

7. Time constants and electrotonic length of membrane cylinders and neurons.

8. Theoretical reconstruction of field potentials and dendrodendritic synaptic interactions in olfactory bulb.

9. Simulations of conduction in uniform myelinated fibers. Relative sensitivity to changes in nodal and internodal parameters.

10. Temperature-sensitive conduction failure at axon branch points.

1. Influence of dynamic gap junction resistance on impulse propagation in ventricular myocardium: a computer simulation study.

2. Effect of conduction block at axon bifurcations on synaptic transmission to different postsynaptic neurones in the leech.

3. Difference in excitability along geometrically inhomogeneous structures and occurrence of "hot spots".

4. Computational model of the on-alpha ganglion cell receptive field based on bipolar cell circuitry.

5. Propagation of action potentials along complex axonal trees. Model and implementation.

6. Solution of the Hodgkin-Huxley and cable equations on an array processor.

7. Propagation through electrically coupled cells. How a small SA node drives a large atrium.

8. Computer simulation of action potential propagation in septated nerve fibers.

Review 9. Electrical properties of sheep Purkinje strands. Electrical and chemical potentials in the clefts.

10. A personal view of the early development of computational neuroscience in the USA.