A highly time resolved impedance spectroscopy enhances measurement of the dynamics of non-stationary systems with enhanced time resolution. The highly time resolved impedance spectroscopy includes an optimized, frequency rich a.c., or transient, voltage signal is used as the perturbation signal, non-stationary time to frequency transformation algorithms are used when processing the measured time signals of the voltage and current to determine impedance spectra which are localized in time; and the system-characterizing quantities are determined from the impedance spectra using equivalent circuit fitting in a time-resolution-optimized form. Also provided are measuring cells and methods for measuring impedance spectra of biofunctional molecules and aggregates.