Correction

Abstract

2013. Electrodiffusion Models of Neurons and Extracellular Space Using the Poisson-Nernst-Planck Equations—Numerical Simulation of the Intra- and Extracellular Potential for an Axon Model. Biophys. J. 105(1):242–254 We discovered that, when comparing our model to the line source approximation (LSA), we missed including the capacitive current IC as part of the total transmembrane current I in the LSA equation (13) in the original article. While the results of our simulations are not affected by this - the electrodiffusion model includes the influence of capacitive currents implicitly - Figures 4 and 9 in the original article need to be replaced. We conclude that when using the correct transmembrane flux in Fig. 4, the general agreement between electrodiffusion and LSA models is very good at larger distances from the membrane (> 5μm). Significant deviations can, however, still be found close to the membrane, especially in the Debye layer (Fig. 9a ), where the AP echo dominates the extracellular potential. This is now also consistent with previous experimental validations of the LSA model (1Gold C. Henze D.A. Buzsáki G. et al.On the origin of the extracellular action potential waveform: a modeling study.J. Neurophysiol. 2006; 95: 3113-3128Crossref PubMed Scopus (390) Google Scholar).Figure 9Comparison of electrodiffusion and line source approximation. The time courses of extracellular potentials calculated by electrodiffusion (ED, dashed line) and line source approximation (LSA, solid line) models are compared at different distances from the membrane (a-g) for a fixed x-coordinate. The different behavior for the rear part of the signal is apparent at lower distances, but for larger distances, a good agreement can be found.View Large Image Figure ViewerDownload Hi-res image Download (PPT) Electrodiffusion Models of Neurons and Extracellular Space Using the Poisson-Nernst-Planck Equations—Numerical Simulation of the Intra- and Extracellular Potential for an Axon ModelPods et al.Biophysical JournalJuly 02, 2013In BriefIn neurophysiology, extracellular signals—as measured by local field potentials (LFP) or electroencephalography—are of great significance. Their exact biophysical basis is, however, still not fully understood. We present a three-dimensional model exploiting the cylinder symmetry of a single axon in extracellular fluid based on the Poisson-Nernst-Planck equations of electrodiffusion. The propagation of an action potential along the axonal membrane is investigated by means of numerical simulations. Full-Text PDF Open Archive