Por favor, use este identificador para citar o enlazar este ítem:https://uvadoc.uva.es/handle/10324/62421
Título
Analysis of a semi-Lagrangian numerical method in a cell dwarfism model
Autor
Año del Documento
2022
Editorial
Taylor & Francis
Descripción
Producción Científica
Documento Fuente
International Journal of Computer Mathematics, 2022
Abstract
In this work, we introduce a new semi-Lagrangian numerical method proposed to solve a cell population balance model which describes cell dwarfism, by allowing cell division at any size. We analyse its convergence and derive an optimal rate. Numerical experiments are reported to demonstrate the predicted accuracy of the scheme. Finally, the good behaviour of the numerical method is exhibited in stressed conditions that can provoke lack of smoothness and simulations are included to show how the increase in the division rate of small size-cells promotes dynamics in which nonfunctional dwarf cells are saturating the total cell population.
Palabras Clave
Cell population balance model
dwarfism
semi-Lagrangian method
convergence analysis
ISSN
0020-7160
Revisión por pares
SI
Patrocinador
VA193P20 Junta de Castilla y León
PID2020-113554GB-I00/AEI/10.13039/501100011033 Ministerio de Ciencia e Innovación
PID2020-113554GB-I00/AEI/10.13039/501100011033 Ministerio de Ciencia e Innovación
Version del Editor
Idioma
eng
Tipo de versión
info:eu-repo/semantics/acceptedVersion
Derechos
openAccess
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