Simultaneous parameter and input estimation of Hindmarsh-Rose neuron by adaptive observer

In this paper, we present an adaptive observer for a Hindmarsh-Rose (HR) neuron with the membrane potential measurement under the assumption that some of parameters in an individual HR neuron are known. Using the adaptive observers for a single HR neuron, we propose a simultaneous estimator of a parameter and the input current of a HR neuron. The procedure allows us to recover the internal states and to distinguish the firing patterns of the synaptically coupled HR neurons.