scholarly journals Weak Limits of the Quantum Hydrodynamic Model

VLSI Design ◽  
1999 ◽  
Vol 9 (4) ◽  
pp. 427-434 ◽  
Author(s):  
Paola Pietra ◽  
Carsten Pohl
Keyword(s):  
High Frequency ◽  
Numerical Study ◽  
Planck Constant ◽  
Quantum Hydrodynamic Model ◽  
High Frequency Oscillations ◽  
Weak Limits ◽  
Quantum Hydrodynamic ◽  
Formal Limit ◽  
Dispersive Limit ◽  
Quantum Hydrodynamic Equations

A numerical study of the dispersive limit of the quantum hydrodynamic equations for semiconductors is presented. The solution may develop high frequency oscillations when the scaled Planck constant is small. Numerical evidence is given of the fact that in such cases the solution does not converge to the solution of the formal limit equations.

STEADY-STATE SOLUTIONS AND ASYMPTOTIC LIMITS ON THE MULTI-DIMENSIONAL SEMICONDUCTOR QUANTUM HYDRODYNAMIC MODEL

2007 ◽  
Vol 17 (02) ◽  
pp. 253-275 ◽  
Author(s):  
BO LIANG ◽  
KAIJUN ZHANG
Keyword(s):  
Relaxation Time ◽  
Steady State ◽  
Hydrodynamic Model ◽  
Planck Constant ◽  
Quantum Hydrodynamic Model ◽  
Uniqueness Results ◽  
Qhd Model ◽  
Quantum Hydrodynamic ◽  
Dispersive Limit ◽  
Steady State Solutions

In this paper we study the steady-state quantum hydrodynamic model for semiconductors. The existence of solutions on the bipolar QHD model is obtained in the case of sufficiently small relaxation time. Uniqueness results are showed both in the thermal equilibrium states and the scaled Planck constant being large enough. The relaxation time and dispersive limit are performed on the bipolar and unipolar equations, respectively. In a sense, we have made a complete answer to the original unsolved problems of the steady-state QHD model.

scholarly journals Can we use intraoperative high‐frequency oscillations to guide tumor‐related epilepsy surgery?

Epilepsia ◽  
2021 ◽  
Author(s):  
Nicole E. C. Klink ◽  
Willemiek J. E. M. Zweiphenning ◽  
Cyrille H. Ferrier ◽  
Peter H. Gosselaar ◽  
Kai J. Miller ◽  
...  
Keyword(s):  
Epilepsy Surgery ◽  
High Frequency ◽  
High Frequency Oscillations

scholarly journals High-frequency oscillations recorded with surface EEG in neonates with seizures

2021 ◽  
Author(s):  
Lotte Noorlag ◽  
Maryse A. van 't Klooster ◽  
Alexander C. van Huffelen ◽  
Nicole E.C. van Klink ◽  
Manon J.N.L. Benders ◽  
...  
Keyword(s):  
High Frequency ◽  
High Frequency Oscillations ◽  
Surface Eeg

High-frequency oscillations and seizure-like discharges in the entorhinal cortex of the in vitro isolated guinea pig brain

2017 ◽  
Vol 130 ◽  
pp. 21-26 ◽  
Author(s):  
Laura Uva ◽  
Davide Boido ◽  
Massimo Avoli ◽  
Marco de Curtis ◽  
Maxime Lévesque
Keyword(s):  
Guinea Pig ◽  
Entorhinal Cortex ◽  
High Frequency ◽  
High Frequency Oscillations ◽  
Pig Brain ◽  
Guinea Pig Brain

scholarly journals HIGH FREQUENCY OSCILLATIONS FOR RESPIRATORY PHYSIOTHERAPY

1989 ◽  
Vol 63 (7) ◽  
pp. 44S-46S ◽  
Author(s):  
L. FREITAG ◽  
J. BREMME ◽  
M. SCHROER
Keyword(s):  
High Frequency ◽  
High Frequency Oscillations ◽  
Respiratory Physiotherapy

scholarly journals Electroceutically induced subthalamic high-frequency oscillations and evoked compound activity may explain the mechanism of therapeutic stimulation in Parkinson’s disease

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Musa Ozturk ◽  
Ashwin Viswanathan ◽  
Sameer A. Sheth ◽  
Nuri F. Ince
Keyword(s):  
Parkinson’S Disease ◽  
Parkinson's Disease ◽  
Pharmacological Treatment ◽  
High Frequency ◽  
High Frequency Stimulation ◽  
High Frequency Oscillations ◽  
Stimulation Pulse ◽  
Main Challenge ◽  
Frequency Stimulation ◽  
Underlying Mechanisms

AbstractDespite having remarkable utility in treating movement disorders, the lack of understanding of the underlying mechanisms of high-frequency deep brain stimulation (DBS) is a main challenge in choosing personalized stimulation parameters. Here we investigate the modulations in local field potentials induced by electrical stimulation of the subthalamic nucleus (STN) at therapeutic and non-therapeutic frequencies in Parkinson’s disease patients undergoing DBS surgery. We find that therapeutic high-frequency stimulation (130–180 Hz) induces high-frequency oscillations (~300 Hz, HFO) similar to those observed with pharmacological treatment. Along with HFOs, we also observed evoked compound activity (ECA) after each stimulation pulse. While ECA was observed in both therapeutic and non-therapeutic (20 Hz) stimulation, the HFOs were induced only with therapeutic frequencies, and the associated ECA were significantly more resonant. The relative degree of enhancement in the HFO power was related to the interaction of stimulation pulse with the phase of ECA. We propose that high-frequency STN-DBS tunes the neural oscillations to their healthy/treated state, similar to pharmacological treatment, and the stimulation frequency to maximize these oscillations can be inferred from the phase of ECA waveforms of individual subjects. The induced HFOs can, therefore, be utilized as a marker of successful re-calibration of the dysfunctional circuit generating PD symptoms.

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