Anomalous transport in fluid field with random waiting time depending on the preceding jump length

2016 ◽  
Vol 25 (11) ◽  
pp. 110504 ◽  
Author(s):  
Hong Zhang ◽  
Guo-Hua Li
Keyword(s):  
Waiting Time ◽  
Anomalous Transport ◽  
Fluid Field ◽  
Jump Length

A mathematical model for preventing HIV virus from proliferating inside CD4 T brownian cell using Gaussian jump nanorobot

2019 ◽  
Vol 12 (07) ◽  
pp. 1950076 ◽  
Author(s):  
Mohamed Abd Allah El-Hadidy ◽  
Alaa A. Alzulaibani
Keyword(s):  
Mathematical Model ◽  
Random Walk ◽  
Probability Density Function ◽  
Waiting Time ◽  
Continuous Time ◽  
Nonlinear Flow ◽  
Stat Phys ◽  
Jump Length ◽  
Hiv Virus ◽  
Probability Density Function Pdf

We present a statistical distribution of a nanorobot motion inside the blood. This distribution is like the distribution of A and B particles in continuous time random walk scheme inside the fluid reactive anomalous transport with stochastic waiting time depending on the Gaussian distribution and a Gaussian jump length which is detailed in Zhang and Li [J. Stat. Phys., Published Online with https://doi.org/10.1007/s10955-018-2185-8 , 2018]. Rather than estimating the length parameter of the jumping distance of the nanorobot, we normalize the Probability Density Function (PDF) and present some reliability properties for this distribution. In addition, we discuss the truncated version of this distribution and its statistical properties, and estimate its length parameter. We use the estimated distance to study the conditions that give a finite expected value of the first meeting time between this nanorobot in the case of nonlinear flow with independent [Formula: see text]-dimensional Gaussian jumps and an independent [Formula: see text]-dimensional CD4 T Brownian cell in the blood ([Formula: see text]-space) to prevent the HIV virus from proliferating within this cell.

Existence of a linear flows particle tracking model with a stochastic waiting time depending on the Gaussian jump length

2021 ◽  
pp. 2150426
Author(s):  
Mohamed Abd Allah El-Hadidy ◽  
Alaa A. Alzulaibani
Keyword(s):  
Waiting Time ◽  
Flow Line ◽  
Uv Detector ◽  
Maximum Probability ◽  
Jump Length ◽  
Particle Flows ◽  
Tracking Model ◽  
Linear Flows ◽  
Tracking Time ◽  
The Right

This paper discusses the existence of the tracking model to detect a linear flows particle with a stochastic waiting time depending on the Gaussian jump length. This model is useful to measure the impurity quantification such as Radionuclides and Toxic Chemicals (particle) within the interaction medium (fluid) with minimum time and maximum probability. The particle flows linearly toward the origin (either from the left or the right). The flow line contains a nano programmed sensor (or nano UV detector). This sensor starts the tracking process for the particle (target) from the origin (filtration point) with speed equals one. We obtain the expected value of the tracking time until the sensor return to the origin with the target. Some competitive analysis depends on the uncertain values of the traveled distances which are derived to get necessary conditions for the sensor’s optimal distances. The numerical results demonstrate the efficiency of this model.

Studying the finiteness of the first meeting time between Lévy flight jump and Brownian particles in the fluid reactive anomalous transport

2019 ◽  
Vol 33 (22) ◽  
pp. 1950256 ◽  
Author(s):  
Mohamed Abd Allah El-Hadidy
Keyword(s):  
Probability Theory ◽  
Waiting Time ◽  
Gaussian Distribution ◽  
Analytical Study ◽  
Brownian Particle ◽  
Anomalous Transport ◽  
Lévy Flight ◽  
Levy Flight ◽  
Brownian Particles ◽  
Linear Flows

We consider linear flows of a Lévy flight jump particle that moves randomly in the fluid reactive anomalous transport with random waiting time depending on the Gaussian distribution. The particle aims to meet another Brownian particle in this fluid. From the viewpoint of a probability theory, we present a theoretical and analytical study that gives conditions which make the expected value of the first meeting time between the two particles finite.

scholarly journals Simulation and Calibration Between Parameters of Continuous Time Random Walks and Subdifusive Model

2017 ◽  
Vol 18 (2) ◽  
pp. 0305 ◽  
Author(s):  
Ana Paula De Paiva Pereira ◽  
João Paulo Fernandes ◽  
Allbens Picardi Faria Atman ◽  
José Luiz Acebal
Keyword(s):  
Theoretical Model ◽  
Random Walks ◽  
Waiting Time ◽  
Continuous Time ◽  
Fractional Derivatives ◽  
Full Range ◽  
Theoretical Models ◽  
Jump Length ◽  
Mean Waiting Time ◽  
Continuous Time Random Walks

We address the problem of subdiusion or normal diusion to perform a calibration between the parameters used in simulation and the parameters of a subdifusive model. The theoretical model is written as a generalized diusion equation with fractional derivatives in time. The data is generated by simulations consisting of continuous-time random walks with controlled mean waiting time and jump length variance to provide a full range of cases between subdiusion andnormal diusion. From the simulations, we compare the accuracy of two methods to obtain the diusion constant, the order of fractional derivatives: the analysis of the dispersion of the variance in time and the optimization tting of theoretical model solutions to histogram of positions. We highlight the connection between the parameters of the simulations the parameters of the theoretical models.

Predictors of waiting time for liver TX: A three-year experience

2001 ◽  
Vol 120 (5) ◽  
pp. A370-A370
Author(s):  
C BOBROWSKI ◽  
H GHADIMPOOR ◽  
M STENECK ◽  
X ROGIERS ◽  
C BROELSCH ◽  
...  
Keyword(s):  
Waiting Time
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