Estimating conductances of dual-recorded neurons within a network of coupled cells

Simultaneous pre- and postsynaptic cell recordings are used to calculate gap junction conductance based on an equivalent electrical circuit of an electrically coupled pair of cells. This calculation is imprecise when recording from a cell pair that is coupled to neighboring cells providing indirect conductance paths between the recorded cells. Despite this imprecision, junctional conductance has been calculated for coupled cell networks during the past 40 years since a more accurate method was lacking. The present study simulated a three-dimensional network of electrically coupled heterogeneous neurons and used mathematical modeling to reduce the complexity to the simplest equations that could more accurately estimate the electrical properties of dual-recorded cells in the network. Analyses of the simulations showed that knowledge of the number of unrecorded cells directly linked to the recorded cells and of the voltage responses of these recorded cells were largely sufficient to accurately predict the direct junctional resistance linking the recorded cells as well as the input resistance of the recorded cells that would exist in the absence of junctional coupling. All model parameters could be obtained from real dual-intracellular penetrations which allow electrophysiological recordings and intracellular staining.