Anton Chizhov edited untitled.tex  over 7 years ago

Commit id: 5121b61ea720d9543ce2026fc167d654e4281b88

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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.