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Modeling the Vibrational Relaxation Rate Using Machine-Learning Methods
AbstractThe aim of the study is to develop an efficient algorithm for solving nonequilibrium gas-dynamics problems in the detailed state-to-state...
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Modeling and Parameter Subset Selection for Fibrin Polymerization Kinetics with Applications to Wound Healing
During the hemostatic phase of wound healing, vascular injury leads to endothelial cell damage, initiation of a coagulation cascade involving...
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A spatial measure-valued model for radiation-induced DNA damage kinetics and repair under protracted irradiation condition
In the present work, we develop a general spatial stochastic model to describe the formation and repair of radiation-induced DNA damage. The model is...
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Classic Enzyme Kinetics—The Michaelis–Menten and Briggs–Haldane Theories
Many chemical reactions inside a cell are very slow if the reactants are simply mixed alone as a multicomponent aqueous solution in a test tube.
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Vertex results for the robust analysis of uncertain biochemical systems
We consider the problem of assessing the sensitivity of uncertain biochemical systems in the presence of input perturbations (either constant or...
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Analysis of a continuously stirred two tank reactor cascade with Haldane kinetics
Biological reactors are employed in industrial applications to break down organic waste. We view the cascade of two open loop continuously stirred...
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Analysis of a Reduced Model of Epithelial–Mesenchymal Fate Determination in Cancer Metastasis as a Singularly-Perturbed Monotone System
Tumor metastasis is one of the main factors responsible for the high fatality rate of cancer. Metastasis can occur after malignant cells transition...
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Energy Exchange Rate Coefficients in Modeling Carbon Dioxide Kinetics: Calculation Optimization
AbstractIn this paper considers algorithms for calculating vibrational energy exchange rate coefficients for collisions of carbon dioxide molecules...
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Using the Cuda Technology to Speed up Computations in Problems of Chemical Kinetics
The paper focuses on the problem of chemical kinetics, calculation of variations in the concentration of substances in the reactions over time, and...
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Boundary Conditions for Fluid-Dynamic Parameters of a Single-Component Gas Flow with Vibrational Deactivation on a Solid Wall
AbstractBoundary conditions for fluid-dynamic parameters of a strongly nonequilibrium single-component rarefied gas flow in the slip regime are...
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Existence of fractional order semianalytical results for enzyme kinetics model
This research work investigates the existence of semianalytical solutions of a chemical kinematics model. We develop the conditions for the existence...
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Fixed and Distributed Gene Expression Time Delays in Reaction–Diffusion Systems
Time delays, modelling the process of intracellular gene expression, have been shown to have important impacts on the dynamics of pattern formation...
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Wavelet-Based Analytical Expressions to Steady-State Biofilm Model Arising in Biochemical Engineering
In this chapter, we have developed an efficient wavelet-based approximation method to biofilm model under steady state arising in enzyme kinetics....
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Phenomenology of an In-host Model of Hepatitis C
This paper carries out an analysis of the global properties of solutions of an in-host model of hepatitis C for general values of its parameters. A...
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Mathematical Modeling of Kinetics and Optimization of Grain Material Separation Processes on Sieve Classifiers
AbstractA mathematical model of the kinetics of thin-layer separation of granular materials on multiple-deck sieve classifiers was constructed based...
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Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment
Molecular reactions within a cell are inherently stochastic, and cells often differ in morphological properties or interact with a heterogeneous...
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Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery
Flexible solid-state battery has several unique characteristics including high flexibility, easy portability, and high safety, which may have broad...
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Well-Mixed Stochastic Reaction Kinetics
Let us start by considering a system of particles/molecules that belong to different biochemical species. The particles move in a given environment,...
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Electro-Catalysis for H \(_2\) O Oxidation and Chlorine Evolution
Electrocalaysts facilitate the transformation of renewable electrical energy into chemical feedstocks and fuels. However, our limited understanding...