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How extracellular electric fields, as generated endogenously or throughtranscranial brain stimulation, affect the dynamics of large neuronalpopulations is of great interest but not well understood. To study thecollective dynamics of large populations single-compartment (point) modelneurons have been proven very successful. These models, however, lack thedendritic morphology to biophysically account for the effects of electricfields, and for changes in synaptic integration due to morphology alone. Herewe (i) characterize the response of a canonical spatial (ball-and-stick) modelneuron to fluctuating synaptic input as well as an oscillatory, weak electricfield, and (ii) analytically derive an extension for popular integrate-and-firepoint neuron models to accurately reproduce these responses. We obtain distinctfilters mediated by the dendrite for inputs at the soma (high-pass filter) orat the distal dendritic site (low-pass filter), and find that the electricfield induces spike rate resonance in the beta and gamma frequency bands oreven higher frequencies, depending on the location of synaptic backgroundinput. Due to their computational efficiency the extended point models are wellsuited for application in large populations of coupled neurons with differentmorphology, exposed to extracellular electric fields.

Extending integrate-and-fire model neurons to account for the effects of weak electric fields and input filtering mediated by the dendrite