Abstract

Recordings of extracellular electrical, and later also magnetic, brain signals have been the dominant technique for measuring brain activity for decades. The interpretation of such signals is however nontrivial, as the measured signals result from both local and distant neuronal activity. In volume-conductor theory the extracellular potentials can be calculated from a distance-weighted sum of contributions from transmembrane currents of neurons. Given the same transmembrane currents, the contributions to the magnetic field recorded both inside and outside the brain can also be computed. This allows for the development of computational tools implementing forward models grounded in the biophysics underlying electrical and magnetic measurement modalities. LFPy (LFPy.readthedocs.io) incorporated a well-established scheme for predicting extracellular potentials of individual neurons with arbitrary levels of biological detail. It relies on NEURON (neuron.yale.edu) to compute transmembrane currents of multicompartment neurons which is then used in combination with an electrostatic forward model. Its functionality is now extended to allow for modeling of networks of multicompartment neurons with concurrent calculations of extracellular potentials and current dipole moments. The current dipole moments are then, in combination with suitable volume-conductor head models, used to compute non-invasive measures of neuronal activity, like scalp potentials (electroencephalographic recordings; EEG) and magnetic fields outside the head (magnetoencephalographic recordings; MEG). One such built-in head model is the four-sphere head model incorporating the different electric conductivities of brain, cerebrospinal fluid, skull and scalp. We demonstrate the new functionality of the software by constructing a network of biophysically detailed multicompartment neuron models from the Neocortical Microcircuit Collaboration (NMC) Portal (bbp.epfl.ch/nmc-portal) with corresponding statistics of connections and synapses, and compute in vivo-like extracellular potentials (local field potentials, LFP; electrocorticographical signals, ECoG) and corresponding current dipole moments. From the current dipole moments we estimate corresponding EEG and MEG signals using the four-sphere head model. We also show strong scaling performance of LFPy with different numbers of message-passing interface (MPI) processes, and for different network sizes with different density of connections. The open-source software LFPy is equally suitable for execution on laptops and in parallel on high-performance computing (HPC) facilities and is publicly available on GitHub.com.

Highlights

  • Ever since the 1950s, electrical recordings with sharp electrodes have been the most important method for studying in vivo activity in neurons and neural networks (Li and Jasper, 1953)

  • To illustrate the computation of these measures by LFPy 2.0 we show in Figure 2 the local field potential” (LFP), EEG, and MEG signals generated by a single synaptic input onto a single simplified “pyramidal” neuron

  • The first version of LFPy (Lindén et al, 2014) assumed the model neurons to be embedded in an infinite homogeneous volume conductor and was most suited to compute extracellular potentials inside the brain

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Summary

Introduction

Ever since the 1950s, electrical recordings with sharp electrodes have been the most important method for studying in vivo activity in neurons and neural networks (Li and Jasper, 1953). Of particular interest is two-photon calcium imaging, which can measure the action potentials of individual neurons deep into cortical tissue (Helmchen and Denk, 2005), and voltage-sensitive dye imaging (VSDI), which measures the average membrane potential across dendrites close to the cortical surface (Grinvald and Hildesheim, 2004). These add to the more established systemslevel methods such as electroencephalography (EEG, Nunez and Srinivasan, 2006), which measures electrical potentials at the scalp, and magnetoencephalography (MEG, Hämäläinen et al, 1993) which measures the magnetic field outside the head

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