This title appears in the Scientific Report :
2016
Please use the identifier:
http://dx.doi.org/10.3952/physics.v56i4.3419 in citations.
Suppression of spontaneous oscillations in high-frequency stimulated neuron models
Suppression of spontaneous oscillations in high-frequency stimulated neuron models
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–Hu...
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Personal Name(s): | Pyragas, Kęstutis (Corresponding author) |
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Tass, Peter A. | |
Contributing Institute: |
Gehirn & Verhalten; INM-7 |
Published in: | Lithuanian journal of physics, 56 (2016) 4, S. 223 - 238 |
Imprint: |
Vilnius
Fisica
2016
|
DOI: |
10.3952/physics.v56i4.3419 |
Document Type: |
Journal Article |
Research Program: |
Addenda Theory, modelling and simulation |
Publikationsportal JuSER |
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. |