Computer models of the electrical rhythmic activities in hippocampal neurons

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(a) Develop macro and micro level computer models of the electrical rhythmic activity in hippocampal neuro-glial networks under normal and pathological states exhibiting seizure-like events (SLEs). (i) Macro level models characterize system behaviour by populations of coupled cognitive rhythm generator (CRG) models (previously reported by our lab team). Each CRG consists of an input layer of neuronal modes (whose transfer functions are measured from Volterra series or alternately chosen from predetermined design functions) for sensing the input environment. The outputs of the neuronal modes layer are feed-forward to a Winfree type ring device whose variables are mapped by a static nonlinearity (representing the wave shape) into an observable output variable. The frequencies of the ring device are modulated by the outputs of the neuronal modes to provide “responsive adaptation” to changes in the input environment. Coupled CRGs are utilized to model pathological states and are used as testing platforms of neuromodulation strategies for abolishment of SLEs. (ii) Micro level models of traditional and "stochastic" Hodgkin-Huxley type models to characterize ionic transport mechanisms in "cellular" models of pyramidal, interneuron and glial cells. These models are used to investigate (1) the effects of astrocytes on hyper-excitability, and (2) the mechanisms of cross frequency coupling in the electrical rhythms of the neuro-glial networks characterizing their states.