Abstract
In this Note, we complete [1] and we study the Lebowitz–Rubinow's model with the biological law of perfect memory. In this model, each cell is characterized by its cell cycle length l (0⩽ l 1< l< l 2<∞) and its age a (0< a< l). If l 1>0, a complete study of this model can be found in [1]. Here we show that if l 1=0 then this model becomes ill-posed. We use the theory of generalized semigroups to remedy to this model. To cite this article: M. Boulanouar, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 865–868.
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