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A cell cycle model and translation semigroups

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Abstract

First are given results on the norm-continuity of translation semigroups and their asymptotic behavior. Secondly a cell cycle model is studied from the point of view of linear translation semigroups theory. Existence and norm-continuity of the solution semigroup and the property of exponential asynchronous growth are established for this model.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, El Jadida University, El Jadida, Morocco

    Larbi Alaoui

  2. Lehrstuhl für Biomathematik, University of Tübingen, Auf der Morgenstelle 10, D-72076, Tübingen, Germany

    Larbi Alaoui

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  1. Larbi Alaoui
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Communicated by J. A. Goldstein

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Alaoui, L. A cell cycle model and translation semigroups. Semigroup Forum 54, 135–153 (1997). https://doi.org/10.1007/BF02676597

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  • DOI: https://doi.org/10.1007/BF02676597

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