Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 50, Issue 5-6, Pages 653-664Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2009.05.023
Keywords
Cell population model; Size-structured population; Numerical simulation; Convergence analysis; Stable size distribution
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We study numerically the evolution of a size-structured cell population model, with finite maximum individual size and minimum size for mitosis. We formulate two schemes for the numerical solution of such a model. The schemes are analysed and optimal rates of convergence are derived. Some numerical experiments are also reported to demonstrate the predicted accuracy of the schemes. We also consider the behaviour of the methods with respect to the different discontinuities that appear in the solution to the problem and the stable size distribution. In addition, the numerical schemes are used to study asynchronous exponential growth. (C) 2009 Elsevier Ltd. All rights reserved.
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