Reconstructing dynamics of spiking neurons from input-output measurements in vitro

We provide a method to reconstruct the neural spike-timing behavior from input-output measurements. The proposed method ensures an accurate fit of a class of neuronal models to the relevant data, which are in our case the dynamics of the neuron’s membrane potential. Our method enables us to deal with the problem that the neuronal models, in general, not belong to the class of models that can be transformed into the observer canonical form. In particular, we present a technique that guarantees successful model reconstruction of the spiking behavior for an extended Hindmarsh-Rose neuronal model. The technique is validated on the data recorded in vitro from neural cells in the hippocampal area of mouse brain.