Anton Chizhov edited untitled.tex  over 7 years ago

Commit id: e977f9808b33c40ee7ccc6b032410c261d37cd62

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- How can LFP calculations be incorporated in simulation software?  - Can single-compartmental model neurons generate local field potentials at all?  %Modified %%Modified  from PRE2015: Interpretation %Interpretation  of extracellular potentials is unclear \cite{Buzhaki %\cite{Buzhaki  et al. 2012}, \cite{Bedard et al. 2006}, \cite{Bedard %\cite{Bedard  and Destexhe 2011}, \cite{Bedard and Destexhe 2013}, \cite{Bedard %\cite{Bedard  and Destexhe 2014} even in the case of %of  synchronous neuronal epileptiform events the relationship between %between  simultaneously registered extracellular and intracellular signals %signals  is non-trivial \cite{Alvarado-Rojas et al. 2015}. Assuming an %an  homogeneous and isotropic extracellular space (but see \cite{Ranck %\cite{Ranck  and BeMent 1965}), an extracellular potential is commonly %commonly  described by the Poisson equation with macroscopically averaged %averaged  transmembrane currents as distributed sources \cite{Nicholson %\cite{Nicholson  1973}, \cite{Nicholson and Freeman 1975} or by the Laplace %Laplace  equation with the transmembrane currents distributed along all %all  membrane surfaces \cite{Logothetis 2007}, \cite{Linden et al. 2011}, %2011},  \cite{Schomburg et al. 2012}, \cite{Gold et al. 2006}, \cite{Einevoll %\cite{Einevoll  et al. 2013}, \cite{Ibarz et al. 2010}. If neuronal activity %activity  is modeled by multiple compartment neurons, then calculation %calculation  of the local field potential (LFP) with the Poisson equation %equation  is straightforward. However, in most cases biophysically detailed mean-field models also deals %deals  with somatic signals of neuronal activity exclusively, and the %the  question of how to estimate the LFP from these somatic signals is %is  unclear \cite{Chizhov 2014}, \cite{Baladron %\cite{Baladron  et al. 2012}. A %A  simple formula linking intracellular %intracellular  parameters of neuronal activity to extracellular field %field  potential has been derived in \cite{Chizhov et al. 2015}, neglecting %neglecting  ionic dynamics and glial contributions.