High-accuracy adaptive modeling of the energy distribution of a meniscus-shaped cell culture in a Petri dish

Gómez Revuelto, Ignacio and García Castillo, Luis E. and Pardo, David (2015). High-accuracy adaptive modeling of the energy distribution of a meniscus-shaped cell culture in a Petri dish. "Journal of Computational Science", v. 9 ; pp. 143-149. ISSN 1877-7503. https://doi.org/10.1016/j.jocs.2015.04.027.

Description

Title: High-accuracy adaptive modeling of the energy distribution of a meniscus-shaped cell culture in a Petri dish
Author/s:
  • Gómez Revuelto, Ignacio
  • García Castillo, Luis E.
  • Pardo, David
Item Type: Article
Título de Revista/Publicación: Journal of Computational Science
Date: July 2015
ISSN: 1877-7503
Volume: 9
Subjects:
Freetext Keywords: Petri dish; Finite elements; hp-Adaptivity; Cell culture; Geometrically induced refinements
Faculty: E.T.S.I. y Sistemas de Telecomunicación (UPM)
Department: Teoría de la Señal y Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Cylindrical Petri dishes embedded in a rectangular waveguide and exposed to a polarized electromagnetic wave are often used to grow cell cultures. To guarantee the success of these cultures, it is necessary to enforce that the specific absorption rate distribution is sufficiently high and uniform over the Petri dish. Accurate numerical simulations are needed to design such systems. These simulations constitute a challenge due to the strong discontinuity of electromagnetic material properties involved, the relative low field value within the dish cultures compared with the rest of the domain, and the presence of the meniscus shape developed at the liquid boundary. The latter greatly increases the level of complexity of the model in terms of geometry and intensity of the gradients/singularities of the field solution. In here, we employ a three-dimensional (3D) hp-adaptive finite element method using isoparametric elements to obtain highly accurate simulations. We analyze the impact of the geometrical modeling of the meniscus shape cell culture in the hp-adaptivity. Numerical results showing the error convergence history indicate the numerical difficulties arisen due to the presence of a meniscus-shaped object. At the same time, the resulting energy distribution shows that to consider such meniscus shape is essential to guarantee the success of the cell culture from the biological point of view.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainTEC2010-18175/TCMUnspecifiedUnspecifiedUnspecified
Horizon 2020644602UnspecifiedUnspecifiedUnspecified
Government of SpainMTM2013-40824-PUnspecifiedUnspecifiedUnspecified

More information

Item ID: 40739
DC Identifier: http://oa.upm.es/40739/
OAI Identifier: oai:oa.upm.es:40739
DOI: 10.1016/j.jocs.2015.04.027
Official URL: http://www.sciencedirect.com/science/article/pii/S1877750315000654
Deposited by: Memoria Investigacion
Deposited on: 23 Mar 2017 19:40
Last Modified: 05 Jun 2019 14:49
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