We analyze the dynamics of neural oscillators in the presence of both synaptic and diffusive coupling. First we derive a computationally effective, yet plausible model of extra-synaptic neurotransmitter diffusion. Second, we modify the Hindmarsh-Rose oscillator to account for the diffusion. For ensembles of these modified model neurons we obtain conditions ensuring global synchronization. Our results demonstrate that diffusion substantially affects the dynamics of a network of model neurons.
|Title of host publication||3rd International IEEE Scientific Conference on Physics and Control (Physcon2007), 3-7 September 2007, Potsdam, Germany|
|Publication status||Published - 2007|