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\section{Abstract}  Minimal level of detail needed to model extracellular potentials originating from  activity of interacting neuronal populations is an important  but still open question. Whereas in regimes with moderate ionic concentration changes  the neuronal contribution into the local field potential in a layered cortical  or hippocampal tissue can be evaluated as the  difference between the somatic and dendritic membrane potentials of pyramidal neurons,  hyper-synchronous states of activity reguires taking into account a contribution of glia.  We propose an effective consideration of the glial contribution that is reduced  to a low-pass filtered neuronal firing rate.  Our formalism is applicable to the study of cortical activity using two-compartment neuronal  population models.  \section{Introduction}  In experimental neuroscience, most electric signals are picked up from the electrolytic solution that constitutes extracellular (interneuronal) space, yet the origin of these potentials is incompletely understood. Our study touches the related open questions:  - What level of detail is needed to model extracellular electrical phenomena, and which formalism can be employed?  - How valid is the cable equation, or need slow concentration changes of the major ionic components involved be modeled explicitly?