Sloppy size control of the cell division cycle |
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| Authors: | J J Tyson O Diekmann |
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| Affiliation: | 1. CRS4 (Center for Advanced Studies, Research and Development in Sardinia), Località Piscinamanna, Edificio 1, 09010 Pula, Cagliari, Italy;2. Dipartimento di Ingegneria Meccanica, Chimica e Materiali, Università degli Studi di Cagliari, Piazza d’Armi, 09123 Cagliari, Italy;1. Inria, Univ Lyon, Université Lyon 1, CNRS UMR 5208, Institut Camille Jordan, 43 Bd. du 11 novembre 1918, F-69200 Villeurbanne Cedex, France;2. Laboratoire d''Analyse Nonlinéaire et Mathématiques Appliquées, University of Tlemcen, Tlemcen 13000, Algeria;3. Graduate School of System Informatics, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe 657-8501, Japan;1. GPM, UMR CNRS 6643, Université de Rouen, 76575 Saint Étienne du Rouvray, France;2. CMAP, École Polytechnique, Route de Saclay, 91128 Palaiseau, France;3. CEA/DEN/DM2S/SERMA/LLPR-LRC CARMEN, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France;4. CNRS/ECP/UMR 8085, Grande voie des vignes, Chatenay Malabry, France;5. CEA/DEN/DMN/SRMA/LA2M-LRC CARMEN, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France;2. Instituto de Biomedicina de Sevilla, University Hospital Virgen del Rocío, CSIC and Seville University, Seville, Spain;3. San Camillo–Forlanini Hospital, Rome, Italy;4. Le Mans Regional Hospital, Le Mans, France;6. Jawaharlal Nehru Cancer Hospital and Research Center, Bhopal, India;5. University Medical Center Hamburg-Eppendorf, Hamburg, Germany;11. Division of Medical Oncology, San Giuseppe Moscati Hospital, Avellino, Italy |
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| Abstract: | In an asynchronous, exponentially proliferating cell culture there is a great deal of variability among individual cells in size at birth, size at division and generation time (= age at division). To account for this variability we assume that individual cells grow according to some given growth law and that, after reaching a minimum size, they divide with a certain probability (per unit time) which increases with increasing cell size. This model is called sloppy size control because cell division is assumed to be a random process with size-dependent probability. We derive general equations for the distribution of cell size at division, the distribution of generation time, and the correlations between generation times of closely related cells. Our theoretical results are compared in detail with experimental results (obtained by Miyata and coworkers) for cell division in fission yeast, Schizosaccharomyces pombe. The agreement between theory and experiment is superior to that found for any other simple models of the coordination of cell growth and division. |
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