Simultaneous modelling of the extracellular and innercellular potential and the membrane voltage
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1
Goethe University, G-CSC, Germany
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2
University of Heidelberg, Interdisziplinares Zentrum fur Wissenschaftliches Rechnen, Germany
In order to model initiation and propagation of action potentials, the 1D cable Theory provides a fast and relatively accurate computational method. However, this theory faces difficulties, if the extracellular potential and the membrane potential are to be computed at the same time. This problem can be overcome if one couples the cable Theory with a separate model for the extracellular potential as it is done in the “Line Source Method” (Gold et al., 2006). Although such a method provides quite accurate results in the extracellular action potential recordings, it appears difficult to unify the cable Theory’s main assumption (that the extracellular potential is zero) with a full 3D model, in which, on the membrane, the extracellular potential is prescribed to equal the membrane voltage.
Starting with the balance law of charges, a model of an active cell is presented which considers the full 3D structure of the cell and the extracellular potential in the computation of the membrane potential. Based on such a model it is possible to carry out simulations in which the extracellular potential and the membrane potential can be simultaneously recorded. Such a model might be useful to examine interactions between the extracellular space and the membrane potential. Moreover a concept is presented, how the model can be extended in order to couple 1D structures with 3D ones. This approach can be used to focus on the detail without a great loss of efficiency.
Conference:
Bernstein Conference on Computational Neuroscience, Frankfurt am Main, Germany, 30 Sep - 2 Oct, 2009.
Presentation Type:
Poster Presentation
Topic:
Information processing in neurons and networks
Citation:
Xylouris
K,
Queisser
G and
Wittum
G
(2009). Simultaneous modelling of the extracellular and innercellular potential and the membrane voltage.
Front. Comput. Neurosci.
Conference Abstract:
Bernstein Conference on Computational Neuroscience.
doi: 10.3389/conf.neuro.10.2009.14.088
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Received:
26 Aug 2009;
Published Online:
26 Aug 2009.
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Correspondence:
Konstantinos Xylouris, Goethe University, G-CSC, Frankfurt, Germany, konstantinos.xylouris@gcsc.uni-frankfurt.de