Simulation of the ephaptic effect in the cone-horizontal cell synapse of the retina

Carl Gardner, Jeremiah R. Jones, Steven Baer, Shaojie Chang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The drift-diffusion (Poisson-Nernst-Planck) model-including a numerical model for cell membranes that resolves surface-charge boundary layers-is applied to the cone-horizontal cell synapse in the outer plexiform layer of the retina. Numerical simulations reproduce the experimental calcium current-voltage (IV) curves for the goldfish retina in response to a bright spot, with and without an illuminated background. The ephaptic (electrical) effect is demonstrated by computing the shift in the IV curve for background off versus background on for increasingly narrower openings between the sides of the cone and the horizontal cell.

Original languageEnglish (US)
Pages (from-to)636-648
Number of pages13
JournalSIAM Journal on Applied Mathematics
Volume73
Issue number2
DOIs
StatePublished - 2013

Fingerprint

Retina
Synapse
Cones
Cone
Horizontal
Cell
Cell membranes
Surface charge
Drift-diffusion
Numerical models
Calcium
Boundary layers
Simulation
Curve
Boundary Layer
Resolve
Siméon Denis Poisson
Computer simulation
Electric potential
Membrane

Keywords

  • Drift-diffusion model
  • Ephaptic effect
  • Retina
  • Synapse

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Simulation of the ephaptic effect in the cone-horizontal cell synapse of the retina. / Gardner, Carl; Jones, Jeremiah R.; Baer, Steven; Chang, Shaojie.

In: SIAM Journal on Applied Mathematics, Vol. 73, No. 2, 2013, p. 636-648.

Research output: Contribution to journalArticle

@article{d450f73efb9b47e3b2efe56c00695993,
title = "Simulation of the ephaptic effect in the cone-horizontal cell synapse of the retina",
abstract = "The drift-diffusion (Poisson-Nernst-Planck) model-including a numerical model for cell membranes that resolves surface-charge boundary layers-is applied to the cone-horizontal cell synapse in the outer plexiform layer of the retina. Numerical simulations reproduce the experimental calcium current-voltage (IV) curves for the goldfish retina in response to a bright spot, with and without an illuminated background. The ephaptic (electrical) effect is demonstrated by computing the shift in the IV curve for background off versus background on for increasingly narrower openings between the sides of the cone and the horizontal cell.",
keywords = "Drift-diffusion model, Ephaptic effect, Retina, Synapse",
author = "Carl Gardner and Jones, {Jeremiah R.} and Steven Baer and Shaojie Chang",
year = "2013",
doi = "10.1137/120878409",
language = "English (US)",
volume = "73",
pages = "636--648",
journal = "SIAM Journal on Applied Mathematics",
issn = "0036-1399",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "2",

}

TY - JOUR

T1 - Simulation of the ephaptic effect in the cone-horizontal cell synapse of the retina

AU - Gardner, Carl

AU - Jones, Jeremiah R.

AU - Baer, Steven

AU - Chang, Shaojie

PY - 2013

Y1 - 2013

N2 - The drift-diffusion (Poisson-Nernst-Planck) model-including a numerical model for cell membranes that resolves surface-charge boundary layers-is applied to the cone-horizontal cell synapse in the outer plexiform layer of the retina. Numerical simulations reproduce the experimental calcium current-voltage (IV) curves for the goldfish retina in response to a bright spot, with and without an illuminated background. The ephaptic (electrical) effect is demonstrated by computing the shift in the IV curve for background off versus background on for increasingly narrower openings between the sides of the cone and the horizontal cell.

AB - The drift-diffusion (Poisson-Nernst-Planck) model-including a numerical model for cell membranes that resolves surface-charge boundary layers-is applied to the cone-horizontal cell synapse in the outer plexiform layer of the retina. Numerical simulations reproduce the experimental calcium current-voltage (IV) curves for the goldfish retina in response to a bright spot, with and without an illuminated background. The ephaptic (electrical) effect is demonstrated by computing the shift in the IV curve for background off versus background on for increasingly narrower openings between the sides of the cone and the horizontal cell.

KW - Drift-diffusion model

KW - Ephaptic effect

KW - Retina

KW - Synapse

UR - http://www.scopus.com/inward/record.url?scp=84878048898&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878048898&partnerID=8YFLogxK

U2 - 10.1137/120878409

DO - 10.1137/120878409

M3 - Article

VL - 73

SP - 636

EP - 648

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 2

ER -