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

Henk NIJMEIJER, Ivan Tyukin, David Rijlaarsdam, Alexey Semyanov, Cees van Leeuwen
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.
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