Finite-difference and pseudo-spectral methods for the numerical simulations of in vitro human tumor cell population kinetics

Zdzislaw Jackiewicz, B. Zubik-Kowal, B. Basse

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

Pseudo-spectral approximations are constructed for the model equations describing the population kinetics of human tumor cells in vitro and their responses to radiotherapy or chemotherapy. These approximations are more efficient than finite-difference approximations. The spectral accuracy of the pseudo-spectral method allows us to resolve the model with a much smaller number of spatial grid-points than required for the finite-difference method to achieve comparable accuracy. This is demonstrated by numerical experiments which show a good agreement between predicted and experimental data.

Original languageEnglish (US)
Pages (from-to)561-572
Number of pages12
JournalMathematical Biosciences and Engineering
Volume6
Issue number3
DOIs
StatePublished - Jul 1 2009

Keywords

  • Cell cycle dynamics
  • Finite-difference methods
  • Human tumor cells
  • Mathematical model
  • Population kinetics of human cancer cells in vitro
  • Pseudo-spectral methods

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

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