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Reaction rate in an evanescent random walkers system
(2015)
Diffusion mediated reaction models are particularly ubiquitous in the description of phys-ical, chemical or biological processes. The random walk schema is a useful tool for formu-lating these models. Recently, evanescent ...
An Algorithm for Evaluating Reaction Rates of Catalytic Reaction Networks with Strong Diffusion Limitations
(Pergamon-Elsevier Science Ltd, 2001-09)
An h-adaptive mesh procedure to solve the reaction-diffusion problem for multiple reactions in catalytic pellets presenting strong diffusion limitations is developed. The discretization approach selected for this purpose ...
From free to effective diffusion coefficients in fluorescence correlation spectroscopy experiments
(American Physical Society, 2013-02-13)
Diffusion is one of the main transport processes that occur inside cells determining the spatial and time distribution of relevant action molecules. In most cases these molecules not only diffuse but also interact with ...
Large deviations for a reaction-diffusion system in the supremum norm
(Universidade Federal de Minas GeraisBrasilICEX - INSTITUTO DE CIÊNCIAS EXATASPrograma de Pós-Graduação em MatemáticaUFMG, 2020-02-17)
Apresentamos aqui um princípio de grandes desvios com a norma do supremo para o limite de altas densidades de um sistema de passeios aleatórios sobrepostos e independentes com uma dinâmica de nascimento e morte, que exibe ...
Delay nonlinear boundary conditions as limit of reactions concentrating in the boundary
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2012)
In this work, we are interested in the dynamic behavior of a parabolic problem with nonlinear boundary conditions and delay in the boundary. We construct a reaction-diffusion problem with delay in the interior, where the ...
LibreGrowth: A tumor growth code based on reaction-diffusion equations using shared memory
(Elsevier, 2019-10)
In recent years, in-silico experimentation within the field of oncological medicine has been intensively investigated with the aim of better understanding tumor dynamics and dose–response relationships in cancer treatments. ...
Lap number properties for p-Laplacian problems investigated by Lyapunov methods
(Elsevier B.V., 2014)
Lap number properties for p-Laplacian problems investigated by Lyapunov methods
(Elsevier B.V., 2007-03-01)
In this work we consider a one-dimensional quasilinear parabolic equation and we prove that the lap number of any solution cannot increase through orbits as the time passes if the initial data is a continuous function. We ...
Lap number properties for p-Laplacian problems investigated by Lyapunov methods
(Elsevier B.V., 2007-03-01)
In this work we consider a one-dimensional quasilinear parabolic equation and we prove that the lap number of any solution cannot increase through orbits as the time passes if the initial data is a continuous function. We ...
Diffusion controlled LHHW kinetics. Simultaneous determination of chemical kinetic and equilibrium adsorption constants by using the Weisz-Prater approach
(Pergamon-Elsevier Science Ltd, 2017-11)
A method to simultaneously determine the chemical kinetics (kCT) and Langmuir’s adsorption equilibrium (KL) constants in porous catalyst particles where chemical reactions following Langmuir-Hinshel wood-Hougen-Watson ...