Universität zu Köln

Pyragas, K. and Tass, P. A. (2016). SUPPRESSION OF SPONTANEOUS OSCILLATIONS IN HIGH- FREQUENCY STIMULATED NEURON MODELS. Lith. J. Phys., 56 (4). S. 223 - 239. VILNIUS: LITHUANIAN PHYSICAL SOC. ISSN 1648-8504

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Abstract

We analyze the influence of high-frequency current stimulation on spontaneous neuronal activity and show that it may cause a death of spontaneous low-frequency oscillations. We demonstrate the universality of this effect for typical neuron models such ;as FitzHugh Nagumo, Morris-Lecar, and Hodgkin-Huxley neurons as well as for the normal form of the supercritical Hopf bifurcation. Using a multiple scale method we separate the solutions of the neuron equations into slow and fast components and derive averaged equations for the slow components. The mechanism of suppression of neuronal activity is explained by an analysis of the bifurcations in the averaged equations governing the dynamics of the slow motion. Our results may contribute to the understanding of therapeutic effects of high-frequency deep brain stimulation, the golden standard for the treatment of medically refractory patients suffering from Parkinson's disease. Furthermore, our study enables hypotheses concerning possible improvements of high-frequency deep brain stimulation.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Pyragas, K. UNSPECIFIED UNSPECIFIED UNSPECIFIED Tass, P. A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-288224
Journal or Publication Title:	Lith. J. Phys.
Volume:	56
Number:	4
Page Range:	S. 223 - 239
Date:	2016
Publisher:	LITHUANIAN PHYSICAL SOC
Place of Publication:	VILNIUS
ISSN:	1648-8504
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DEEP BRAIN-STIMULATION; SUBTHALAMIC NUCLEUS; PARKINSONS-DISEASE; COORDINATED RESET; BASAL GANGLIA; INDUCED INHIBITION; GLOBUS-PALLIDUS; SYNCHRONIZATION; MECHANISM; TREMOR Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/28822