RT info:eu-repo/semantics/article
T1 Analysis of a semi-Lagrangian numerical method in a cell dwarfism model
A1 Abia Llera, Luis María
A1 Angulo Torga, Óscar
A1 López Marcos, Juan Carlos
A1 López Marcos, Miguel Ángel
K1 Cell population balance model
K1 dwarfism
K1 semi-Lagrangian method
K1 convergence analysis
AB 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.
PB Taylor & Francis
SN 0020-7160
YR 2022
FD 2022
LK https://uvadoc.uva.es/handle/10324/62421
UL https://uvadoc.uva.es/handle/10324/62421
LA eng
NO International Journal of Computer Mathematics, 2022
NO Producción Científica
DS UVaDOC
RD 01-jun-2024