Fitness optimization in a cell division model. (English) Zbl 1079.35030
Summary: We consider a size structured cell population model where a mother cell gives birth to two cells. We know that the asymptotic behavior of the density of cells is given by the solution to an eigenvalue problem. The eigenvector gives the asymptotic shape and the eigenvalue gives the exponential growth rate and so the Maltusian parameter. The Maltusian parameter depends on the division rule for the mother, i.e., symmetric (the two daughter cells have the same size) or asymmetric. We give some example where the symmetrical division is not the best fitted division, i.e., the Maltusian parameter is not optimal.
MSC:
| 35F10 | Initial value problems for linear first-order PDEs |
| 92C37 | Cell biology |
| 45K05 | Integro-partial differential equations |
References:
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