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We consider the problem of separating and determining the time courses of various synaptic input currents from simultaneous recordings of the time courses of membrane potentials, including spikes, of several neurons. Employing a suitable mathematical model the method involves the differentiation of potentials and the use of ICA to determine the relative strengths of various synaptic inputs. At the same time the waveforms of those input currents are recovered. We illustrate the application to nonlinear point models with deterministic and stochasticinput currents,using a single-component Fitzhugh-Nagumo approximation.