Finite-difference and pseudo-spectral methodsfor the numerical simulations of in vitro human tumor cellpopulation kinetics
Pseudo-spectral approximations areconstructed for the model equations describing the populationkinetics of human tumor cells in vitro and their responses toradiotherapy or chemotherapy. These approximations are moreefficient than finite-difference approximations. The spectralaccuracy of the pseudo-s...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2009-05-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.561 |
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| Summary: | Pseudo-spectral approximations areconstructed for the model equations describing the populationkinetics of human tumor cells in vitro and their responses toradiotherapy or chemotherapy. These approximations are moreefficient than finite-difference approximations. The spectralaccuracy of the pseudo-spectral method allows us to resolve themodel with a much smaller number of spatial grid-points thanrequired for the finite-difference method to achieve comparableaccuracy. This is demonstrated by numerical experiments which show agood agreement between predicted and experimental data. |
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| ISSN: | 1551-0018 |