Universidad Complutense de Madrid
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Asymptotic stability of a coupled Advection-Diffusion-Reaction system arising in bioreactor processes.

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Crespo Moya, María y Ramos del Olmo, Ángel Manuel y Ivorra, Benjamin (2016) Asymptotic stability of a coupled Advection-Diffusion-Reaction system arising in bioreactor processes. (No publicado)

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In this work, we perform an asymptotic analysis of a coupled system of two Advection-Diffusion-Reaction equations with Danckwerts boundary conditions, which models the interaction between a microbial population (e.g., bacterias), called biomass, and a diluted organic contaminant (e.g., nitrates), called substrate, in a continuous flow bioreactor. This system exhibits, under suitable conditions, two stable equilibrium states: one steady state in which the biomass becomes extinct and no reaction is produced, called washout, and another steady state, which corresponds to the partial elimination of the substrate. We use the method of linearization to give sufficient conditions for the asymptotic stability of the two stable equilibrium configurations. Finally, we compare our asymptotic analysis with the usual asymptotic analysis associated to the continuous bioreactor when it is modeled with ordinary differential equations.


Tipo de documento:Artículo
Palabras clave:Asymptotic stability; bioprocesses; Advection-Diffusion-Reaction; separation of variables
Materias:Ciencias > Matemáticas > Análisis matemático
Ciencias > Matemáticas > Análisis numérico
Código ID:39501
Depositado:21 Oct 2016 11:28
Última Modificación:25 Nov 2016 09:39

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