Generalized Framework for the Level Crossing Analysis of Ordered Random Processes

2012 ◽  
Vol 58 (6) ◽  
pp. 3536-3547 ◽  
Author(s):  
Prathapasinghe Dharmawansa ◽  
Matthew R. McKay ◽  
Peter J. Smith
Keyword(s):  
Random Processes ◽  
Level Crossing ◽  
Generalized Framework ◽  
Level Crossing Analysis

scholarly journals Level crossing analysis of Burgers equation in 1 + 1 dimensions

2006 ◽  
Vol 39 (15) ◽  
pp. 3903-3909 ◽  
Author(s):  
M Sadegh Movahed ◽  
A Bahraminasab ◽  
H Rezazadeh ◽  
A A Masoudi
Keyword(s):  
Burgers Equation ◽  
Level Crossing ◽  
Level Crossing Analysis

scholarly journals Nuclear spin-hyperpolarization generated in a flavoprotein under illumination: experimental field-dependence and theoretical level crossing analysis

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Yonghong Ding ◽  
Alexey S. Kiryutin ◽  
Alexandra V. Yurkovskaya ◽  
Denis V. Sosnovsky ◽  
Renad Z. Sagdeev ◽  
...  
Keyword(s):  
Electron Transfer ◽  
Solid State ◽  
Magnetic Fields ◽  
Nuclear Spin ◽  
Flavin Mononucleotide ◽  
Magic Angle ◽  
Residual Water ◽  
Theoretical Level ◽  
Level Crossing ◽  
Level Crossing Analysis

AbstractThe solid-state photo-chemically induced dynamic nuclear polarization (photo-CIDNP) effect generates non-equilibrium nuclear spin polarization in frozen electron-transfer proteins upon illumination and radical-pair formation. The effect can be observed in various natural photosynthetic reaction center proteins using magic-angle spinning (MAS) nuclear magnetic resonance (NMR) spectroscopy, and in a flavin-binding light-oxygen-voltage (LOV) domain of the blue-light receptor phototropin. In the latter system, a functionally instrumental cysteine has been mutated to interrupt the natural cysteine-involving photochemistry allowing for an electron transfer from a more distant tryptophan to the excited flavin mononucleotide chromophore. We explored the solid-state photo-CIDNP effect and its mechanisms in phototropin-LOV1-C57S from the green alga Chlamydomonas reinhardtii by using field-cycling solution NMR. We observed the 13C and, to our knowledge, for the first time, 15N photo-CIDNP signals from phototropin-LOV1-C57S. Additionally, the 1H photo-CIDNP signals of residual water in the deuterated buffer of the protein were detected. The relative strengths of the photo-CIDNP effect from the three types of nuclei, 1H, 13C and 15N were measured in dependence of the magnetic field, showing their maximum polarizations at different magnetic fields. Theoretical level crossing analysis demonstrates that anisotropic mechanisms play the dominant role at high magnetic fields.

Level crossing analysis of leakage current envelope of polluted insulators

2001 ◽  
Vol 21 (8) ◽  
pp. 46-49 ◽  
Author(s):  
F. Amarh ◽  
G.G. Karady ◽  
R. Sundararajan
Keyword(s):  
Leakage Current ◽  
Level Crossing ◽  
Level Crossing Analysis

scholarly journals ALTERNATIVE ANALYSIS OF FINITE-TIME PROBABILITY DISTRIBUTIONS OF RENEWAL THEORY

2014 ◽  
Vol 28 (2) ◽  
pp. 183-201 ◽  
Author(s):  
Percy H. Brill
Keyword(s):  
Operations Research ◽  
Stochastic Models ◽  
Probability Distributions ◽  
Renewal Theory ◽  
Regenerative Process ◽  
Renewal Processes ◽  
Level Crossing ◽  
Alternative Analysis ◽  
Level Crossing Analysis ◽  
Total Life

We introduce a level-crossing analysis of the finite time-t probability distributions of the excess life, age, total life, and related quantities of renewal processes. The technique embeds the renewal process as one cycle of a regenerative process with a barrier at level t, whose limiting probability density function leads directly to the time-t quantities. The new method connects the analysis of renewal processes with the analysis of a large class of stochastic models of Operations Research. Examples are given.

A note on level-crossing analysis for the excess, age, and spread distributions

2002 ◽  
Vol 39 (4) ◽  
pp. 896-900 ◽  
Author(s):  
Tsuyoshi Katayama
Keyword(s):  
Differential Equations ◽  
General Level ◽  
Level Crossing ◽  
First Order ◽  
Sample Paths ◽  
Time Average ◽  
Level Crossing Analysis ◽  
Intuitive Interpretation ◽  
First Order Differential Equations

In this paper, we show that the time-average distributions of excess, age, and spread are given by the solution of first-order differential equations. These differential equations can be directly derived in a simple, unified way using a general level-crossing formula based on the balance of up and down crossings on sample paths, which may be helpful for the intuitive interpretation.

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