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A PDMP model of the epithelial cell turn-over in the intestinal crypt including microbiota-derived regulations
Human health and physiology is strongly influenced by interactions between human cells and intestinal microbiota in the gut. In mammals, the...
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Model of Protective Film Formation in the Vicinity of a Slit Channel During the Convective-Film Cooling of a Plate
AbstractBased on the solution of the Reynolds-averaged system of equations of motion of a viscous compressible heat-conducting gas, the thermal and...
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Dynamics model analysis of bacteriophage infection of bacteria
A bacteriophage (in short, phage) is a virus that can infect and replicate within bacteria. Assuming that uninfected and infected bacteria are...
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Two-Dimensional Model for Calculation of the Working Process of a Spark-Ignited Engine
AbstractA two-dimensional model of the working process—the preliminary analysis of calculations (PAC)—is developed for the preliminary planning of...
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Parametric Regression Model Based on Reversed Hazard Rate: An Application to left censored heavy tailed HIV Viral Load Data
The parametric survival model with Weibull distribution can be used to model a wide range of practical lifetime data. While there have been several...
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Mathematical Model for Assessing the Information Impact on the Electorate in Social Media during Election Campaigns
AbstractA mathematical model for assessing the informational impact on the electorate in social media during election campaigns is developed. It is...
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A Model to Estimate Operators’ Performance in Accomplishing Assembly Tasks
In the fourth industrial revolution, the digital network is the basis of smart manufacturing systems. In work environments 4.0, the operators’ role...
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Optimizing the Capital Investment Distribution Based on a Dynamic Mathematical Model
The article considers extremum economic and mathematical dynamic optimization problems of distributing investments between the economy sectors of the...
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Computational Modeling of Membrane Blockage via Precipitation: A 2D Extended Poisson-Nernst-Planck Model
The mathematical modeling and simulation of ion transport through biological membranes are a challenging problem with direct applications in biology...
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Turing instability of the periodic solution for a generalized diffusive Maginu model
In this text, we study a generalized diffusive Maginu model of morphogenesis. Of our particular interest, we consider the Turing instability of the...
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A Stochastic Model of Fowl Pox Disease: Estimating the Probability of Disease Outbreak
Fowl pox is a devastating chicken disease and is responsible for the high mortality rate, hence affecting production. A combination of factors such...
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Finite Volume Scheme for the Diffusive Field-Road Model: Study of the Long Time Behaviour
We consider the field-road system, a model for fast diffusion channels in population dynamics, consisting of two parabolic equations posed on sets of...
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Parameter estimation with the Markov Chain Monte Carlo method aided by evolutionary neural networks in a water hammer model
Fast transients in pumps and valves may induce significant variations in pressures and flow rates throughout pipelines that can even cause structural...
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Robust model predictive control for fractional-order descriptor systems with uncertainty
In this study, a new robust predictive control technique is investigated for uncertain fractional-order descriptor systems. Using the properties of...
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Evolution of the Shape of a Gas Cloud during Pulsed Laser Evaporation into Vacuum: Direct Simulation Monte Carlo and the Solution of a Model Equation
AbstractThe dynamics of gas expansion during nanosecond laser evaporation into vacuum is studied. The problem is considered in an axisymmetric...
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Direct Numerical Simulation of the Peripheral and Internal Configurations of a Model Assembly of Fuel Elements
AbstractOwing to the active development of nuclear energy in the world and in Russia, increasing attention is paid to the issues of energy...
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Nonlinear Model Order Reduction of a Thermal Human Torso Model
Considering the aging populations in Europe, electrically active implants play a major role in the modern medical field. Main drawback is their...
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A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+ T Cells
In this paper, we investigate a delayed HIV infection model that considers the homeostatic proliferation of CD4 + T cells. The existence and stability...