Qualitative modeling of neuronal behavior effects of diffusion

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

Qualitative modeling of neuronal behavior effects of diffusion

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

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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	Proceedings of the Physcon
Publication status	Published - 2007
Event	conference; Physcon - Duration: 1 Jan 2007 → …

Conference

Conference	conference; Physcon
Period	1/01/07 → …
Other	Physcon

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title = "Qualitative modeling of neuronal behavior effects of diffusion",

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",

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booktitle = "Proceedings of the Physcon",

note = "conference; Physcon ; Conference date: 01-01-2007",

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T1 - Qualitative modeling of neuronal behavior effects of diffusion

AU - Rijlaarsdam, D.J.

AU - Tyukin, I.Y.

AU - Nijmeijer, H.

AU - Semyanov, A.

AU - Leeuwen, van, C.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

M3 - Conference contribution

BT - Proceedings of the Physcon

T2 - conference; Physcon

Y2 - 1 January 2007

ER -

Qualitative modeling of neuronal behavior effects of diffusion

Abstract

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