scholarly journals A continuous-time mathematical model and discrete approximations for the aggregation of β-Amyloid

2021 ◽  
Vol 15 (1) ◽  
pp. 109-136
Author(s):  
Azmy S. Ackleh ◽  
Saber Elaydi ◽  
George Livadiotis ◽  
Amy Veprauskas
Keyword(s):  
Mathematical Model ◽  
Continuous Time ◽  
Discrete Approximations ◽  
Β Amyloid

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.

scholarly journals Refutation of a Rumor by the Mass Media: Mathematical Model and Numerical Experiments

2021 ◽  
Vol 24 (2) ◽  
pp. 371-386
Author(s):  
Александр Петрович Михайлов ◽  
Александр Пхоун Чжо Петров
Keyword(s):  
Mathematical Model ◽  
Mass Media ◽  
Discrete Time ◽  
Continuous Time ◽  
Numerical Experiments ◽  
Mathematical Properties ◽  
The Media ◽  
The Mass Media

The process is considered, in which an unreliable rumor spreads in society, which is opposed by the broadcasting of the mass media. In this case, the unreliability of hearing is understood so that the information of the media contains a refutation and thereby inoculates individuals, that is, makes them immune to hearing. At the same time, individuals who have managed to accept the rumor cease to trust the media and thereby become unavailable for persuasion. For this process, a mathematical model is proposed in two versions. The variant with continuous time reveals some of the mathematical properties of the model. The discrete time option is more convenient for analyzing real processes since it allows one to estimate the parameters of the model. To assess these parameters, data on the ratings of the main socio-political programs of Russian TV channels were used. Several scenario calculations of the model with these parameters are presented. The main conclusion is that if the information disseminated by the media is not viral, that is, it is not retold by viewers to their neighbors in society, then the media are unable to resist rumors.

scholarly journals Methodology and Continuous Time Mathematical Model to Select Optimum Power of Gas Turbine Set for Dual-Fuel Gas-Steam Combined Heat and Power Plant in Parallel System

Energies ◽  
2018 ◽  
Vol 11 (7) ◽  
pp. 1784 ◽  
Author(s):  
Ryszard Bartnik ◽  
Waldemar Skomudek ◽  
Zbigniew Buryn ◽  
Anna Hnydiuk-Stefan ◽  
Aleksandra Otawa
Keyword(s):  
Mathematical Model ◽  
Power Plant ◽  
Gas Turbine ◽  
Continuous Time ◽  
Combined Heat And Power ◽  
Parallel System ◽  
Dual Fuel ◽  
Fuel Gas

scholarly journals A discrete mathematical model for the aggregation of β-Amyloid

PLoS ONE ◽  
2018 ◽  
Vol 13 (5) ◽  
pp. e0196402 ◽  
Author(s):  
Maher A. Dayeh ◽  
George Livadiotis ◽  
Saber Elaydi
Keyword(s):  
Mathematical Model ◽  
Β Amyloid ◽  
Discrete Mathematical Model

Concepts of random mating and the frequency of consanguineous marriages

1963 ◽  
Vol 159 (974) ◽  
pp. 125-177 ◽  
Keyword(s):  
Mathematical Model ◽  
Continuous Time ◽  
Overlapping Generations ◽  
Random Mating ◽  
Consanguineous Marriage ◽  
Demographic Characteristics ◽  
Male And Female ◽  
Numerical Example ◽  
Consanguineous Marriages

Formulae due to Dahlberg for computing the numbers of consanguineous matings to be expected under random mating fail in the case of overlapping generations. The concept of random mating can be extended to cover overlapping generations by making the chance of muting between a male and female depend on the interval between their dates of birth. This concept of random mating is illustrated by a numerical example based on a simple hypothetical organism. The implications of the suggested concept of random mating can be explored for species with complicated demographic characteristics, and man in particular, by means of a mathematical model in continuous time. Calculations of the frequencies of various types of consanguineous marriage to be expected under random mating are presented and compared with statistics of consanguineous marriages occurring in various countries. Discrepancies and similarities between observed and theoretical values are discussed.

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