A numerical study on the estimation of the stable size distribution for a cell population balance model

摘要

>The presence of a steady‐state distribution is an important issue in the modelization of cell populations. In this paper, we analyse, from a numerical point of view, the approach to the stable size distribution for a size‐structured balance model with an asymmetric division rate. To this end, we introduce a second‐order numerical method on the basis of the integration along the characteristic curves over the natural grid. We validate the interest of the scheme by means of a detailed analysis of convergence.