Synchronization of Neural Oscillators with Diffusive Coupling: Does the Leakage of Neurotransmitter Matter?
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.