Modeling the repetitive firing of retinal ganglion cells

Fohlmeister, Jürgen F.; Coleman, Paul A.; Miller, Robert F.

doi:10.1016/0006-8993(90)91388-w

Cited by 101 publications

(84 citation statements)

References 5 publications

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“…We extracted from Comsol the peak boundary current density in the membrane that encloses the ganglion cell. Other extracted Fohlmeister, et al [38] c) Electrochemical delivery of current Geometric Parameters Stimulating Parameters J c Fig. 2 The algorithm of the activation area.…”

Section: Electric Field Responsementioning

confidence: 99%

“…System generates close geometries. [38]. The basic mathematical structure for voltage-gated ion channels was based on the Hodgkin and Huxley like equations [39].…”

Section: Electric Field Responsementioning

confidence: 99%

“…This modelling assumption was formulated in Joucla S, et al, (2014) [40] where the original mathematical model of Hodgkin and Huxley was used. The parameters and equations that describe the dynamics of the ionic channels were kept as in the original model [38].…”

Section: Electric Field Responsementioning

confidence: 99%

See 2 more Smart Citations

A Treatise of the Physical Aspects of Phosphenes and Single-Cell Selectivity in Retinal Stimulation

DL¹,

Wh²

2017

IJCNE

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Section: Electric Field Responsementioning

confidence: 99%

“…System generates close geometries. [38]. The basic mathematical structure for voltage-gated ion channels was based on the Hodgkin and Huxley like equations [39].…”

Section: Electric Field Responsementioning

confidence: 99%

See 1 more Smart Citation

A Treatise of the Physical Aspects of Phosphenes and Single-Cell Selectivity in Retinal Stimulation

DL¹,

Wh²

2017

IJCNE

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“…Therefore the 4-AP-sensitive current was modeled with three activating gates and one deactivating gate [23,24] in order to have a fast activation to permit a fast repolarization (Fig. 5A).…”

Section: A-currentmentioning

confidence: 99%

Evoked membrane potential change in rat optic nerve fiber: Computer simulation

Cazenave-Loustalet¹,

Qiao²,

Li³

et al. 2007

Neurosci. Bull.

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Objective The optic nerve is a key component regarding research on visual prosthesis. Previous pharmacological and electrical studies has pinned down the main features of the mechanisms underlying the nerve impulse in the rat optic nerve, and this work proposed a mathematical model to simulate these phenomena. Methods The main active nodal channels: fast Na + , persistent Na + , slow K + and a fast repolarizing K + (A-current) were added on a double layer representation of the axon. A simplified representation of K + accumulation and clearance in the vicinity of the Ranvier node was integrated in this model. Results The model was able to generate the following features. In the presence of 4-aminopyridine (4-AP), spike duration increased and a depolarizing afterpotential (DAP) appeared. In the presence of 4-AP and tetraethylammonium (TEA), the DAP was followed by a hyperpolarizing afterpotential (AHP) and the amplitude of this AHP increased with the frequency of the stimulation. In normal conditions (no drugs): DAP and AHP were absent after a single action potential (AP) and a short train of AP; there was a relative refractoriness in amplitude lasting for 30 ms after an AP; an early AHP was revealed by a continuous depolarizing current; and there was a partial spike adaptation for a long current step stimulus. Conclusion The model successfully reproduced previous experiments results including long-lasting stimulation experiment, which is known to modify nerve physiological parameter values and is a key issue for visual prosthesis research.

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“…Intracellular recordings and patch-clamp studies in retinal ganglion cells (Kaneda and Kaneko 1991a, 199lb;Lipton and Tauck 1987;Lukasiewicz and Werblin 1988;Skalim·a et al 1990) show that their membrane properties are much more complex than those found in the squid axon. We have approximated cat ganglion cell membrane properties by eighth order nonlinear differential equations similar to those proposed by Fohlmeister et al (1990) for salamander ganglion cells. Our parameters describing the active membrane properties (Eqs.…”

Section: Coupling Between the Membrane And Generator Potential Oscillmentioning

confidence: 99%

On the complex dynamics of intracellular ganglion cell light responses in the cat retina

Przybyszewski

Lankheet

Grind

1996

Biological Cybernetics

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Modeling the repetitive firing of retinal ganglion cells

Cited by 101 publications

References 5 publications

A Treatise of the Physical Aspects of Phosphenes and Single-Cell Selectivity in Retinal Stimulation

A Treatise of the Physical Aspects of Phosphenes and Single-Cell Selectivity in Retinal Stimulation

Evoked membrane potential change in rat optic nerve fiber: Computer simulation

On the complex dynamics of intracellular ganglion cell light responses in the cat retina

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