scholarly journals Model-based discrete relaxation process representation of band-limited power-law attenuation

2013 ◽  
Vol 133 (3) ◽  
pp. 1742-1750 ◽  
Author(s):  
Sven Peter Näsholm
Keyword(s):  
Relaxation Process ◽  
Power Law ◽  
Model Based ◽  
Process Representation ◽  
Limited Power ◽  
Band Limited

Model‐based calibration of band‐limited impedance data: Hoover Field

2002 ◽  
Author(s):  
Olivier Burtz ◽  
Gianni Matteucci ◽  
William Meyer
Keyword(s):  
Model Based ◽  
Impedance Data ◽  
Band Limited

scholarly journals Diamond aggregation

2010 ◽  
Vol 149 (2) ◽  
pp. 351-372
Author(s):  
WOUTER KAGER ◽  
LIONEL LEVINE
Keyword(s):  
Random Walk ◽  
Growth Model ◽  
Power Law ◽  
Simple Random Walk ◽  
Internal Diffusion ◽  
Diffusion Limited Aggregation ◽  
Directional Bias ◽  
Model Based ◽  
Diffusion Limited ◽  
Logarithmic Fluctuations

AbstractInternal diffusion-limited aggregation is a growth model based on random walk in ℤd. We study how the shape of the aggregate depends on the law of the underlying walk, focusing on a family of walks in ℤ2 for which the limiting shape is a diamond. Certain of these walks—those with a directional bias toward the origin—have at most logarithmic fluctuations around the limiting shape. This contrasts with the simple random walk, where the limiting shape is a disk and the best known bound on the fluctuations, due to Lawler, is a power law. Our walks enjoy a uniform layering property which simplifies many of the proofs.

Band‐limited power flow into enclosures. II

1980 ◽  
Vol 67 (3) ◽  
pp. 823-826 ◽  
Author(s):  
L. D. Pope ◽  
J. F. Wilby
Keyword(s):  
Power Flow ◽  
Limited Power ◽  
Band Limited

scholarly journals A unifying principle underlying the extracellular field potential spectral responses in the human cortex

2015 ◽  
Vol 114 (1) ◽  
pp. 505-519 ◽  
Author(s):  
Ella Podvalny ◽  
Niv Noy ◽  
Michal Harel ◽  
Stephan Bickel ◽  
Gal Chechik ◽  
...  
Keyword(s):  
Field Potential ◽  
Neuronal Activation ◽  
Human Cortex ◽  
Neuronal Process ◽  
High Gamma ◽  
Neuronal Processes ◽  
Limited Power ◽  
Visuomotor Tasks ◽  
Band Limited ◽  
Spectrum Slope

Electrophysiological mass potentials show complex spectral changes upon neuronal activation. However, it is unknown to what extent these complex band-limited changes are interrelated or, alternatively, reflect separate neuronal processes. To address this question, intracranial electrocorticograms (ECoG) responses were recorded in patients engaged in visuomotor tasks. We found that in the 10- to 100-Hz frequency range there was a significant reduction in the exponent χ of the 1/ fχ component of the spectrum associated with neuronal activation. In a minority of electrodes showing particularly high activations the exponent reduction was associated with specific band-limited power modulations: emergence of a high gamma (80–100 Hz) and a decrease in the alpha (9–12 Hz) peaks. Importantly, the peaks' height was correlated with the 1/ fχ exponent on activation. Control simulation ruled out the possibility that the change in 1/ fχ exponent was a consequence of the analysis procedure. These results reveal a new global, cross-frequency (10–100 Hz) neuronal process reflected in a significant reduction of the power spectrum slope of the ECoG signal.

scholarly journals A generalized q growth model based on nonadditive entropy

2020 ◽  
Vol 34 (29) ◽  
pp. 2050281
Author(s):  
Irving Rondón ◽  
Oscar Sotolongo-Costa ◽  
Jorge A. González ◽  
Jooyoung Lee
Keyword(s):  
Evolution Equation ◽  
Growth Model ◽  
Power Law ◽  
Statistical Physics ◽  
Von Bertalanffy ◽  
Model Based ◽  
General Growth ◽  
Different Types ◽  
Nonadditive Entropy ◽  
Growth Laws

We present a general growth model based on nonextensive statistical physics. We show that the most common unidimensional growth laws such as power law, exponential, logistic, Richards, Von Bertalanffy, Gompertz can be obtained. This model belongs to a particular case reported in (Physica A 369, 645 (2006)). The new evolution equation resembles the “universality” revealed by West for ontogenetic growth (Nature 413, 628 (2001)). We show that for early times the model follows a power law growth as [Formula: see text], where the exponent [Formula: see text] classifies different types of growth. Several examples are given and discussed.

Shifted power-law relationship between NO2 concentration and the distance from a highway: A new dispersion model based on the wind profile model

2006 ◽  
Vol 40 (40) ◽  
pp. 8068-8073 ◽  
Author(s):  
Xiaodong Zou ◽  
Zhemin Shen ◽  
Tao Yuan ◽  
Shan Yin ◽  
Jingping Cai ◽  
...  
Keyword(s):  
Power Law ◽  
Wind Profile ◽  
Dispersion Model ◽  
Profile Model ◽  
Model Based
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