Synchronization of neural oscillators with diffusive coupling : does the leakage of neurotransmitter matter?

D.J. Rijlaarsdam; I.Y. Tyukin; H. Nijmeijer; A. Semyanov; C. Leeuwen, van

Synchronization of neural oscillators with diffusive coupling : does the leakage of neurotransmitter matter?

D.J. Rijlaarsdam
, I.Y. Tyukin
, H. Nijmeijer
, A. Semyanov
, C. Leeuwen, van

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

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.

Original language	English
Title of host publication	3rd International IEEE Scientific Conference on Physics and Control (Physcon2007), 3-7 September 2007, Potsdam, Germany
Pages	6-
Publication status	Published - 2007

Cite this

@inproceedings{b44b3b2b21b84b6faaef6eb626faa412,

title = "Synchronization of neural oscillators with diffusive coupling : does the leakage of neurotransmitter matter?",

abstract = "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.",

author = "D.J. Rijlaarsdam and I.Y. Tyukin and H. Nijmeijer and A. Semyanov and \{Leeuwen, van\}, C.",

year = "2007",

language = "English",

pages = "6--",

booktitle = "3rd International IEEE Scientific Conference on Physics and Control (Physcon2007), 3-7 September 2007, Potsdam, Germany",

}

Synchronization of neural oscillators with diffusive coupling : does the leakage of neurotransmitter matter? / Rijlaarsdam, D.J.; Tyukin, I.Y.; Nijmeijer, H. et al.
3rd International IEEE Scientific Conference on Physics and Control (Physcon2007), 3-7 September 2007, Potsdam, Germany. 2007. p. 6-.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review