Bibliographic Details
| Title: |
A second-order numerical method for a cell population model with asymmetric division. |
| Authors: |
Angulo, O.1 oscar@mat.uva.es, López-Marcos, J.C.2 lopezmar@mac.uva.es, López-Marcos, M.A.2 malm@mac.uva.es |
| Source: |
Journal of Computational & Applied Mathematics. Jan2017, Vol. 309, p522-531. 10p. |
| Subjects: |
Cell populations, Cell growth, Numerical integration, Curves, Computer simulation, Approximation theory |
| Abstract: |
Population balance models represent an accurate and general way of describing the complicated dynamics of cell growth. In this paper we study the numerical integration of a model for the evolution of a size-structured cell population with asymmetric division. We present and analyze a novel and efficient second-order numerical method based on the integration along the characteristic curves. We prove the optimal rate of convergence of the scheme and we ratify it by numerical simulation. Finally, we show that the numerical scheme serves as a valuable tool in order to approximate the stable size distribution of the model. [ABSTRACT FROM AUTHOR] |
|
Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Engineering Source |
