Franke, E. K. A mathematical model of synchronized periodic growth of cell populations. (English) Zbl 1170.92319 J. Theor. Biol. 26, No. 3, 373-382 (1970). Summary: It is shown that the periodic change of growth rate in an externally synchronized cell population growing in a chemostat can be fully accounted for by the properties of the renewal equation. The amplitude of the oscillations depends only on the strength of the synchronizing stimulus, the mean generation time, and its standard deviation. Cited in 9 Documents MSC: 92C37 Cell biology 92D40 Ecology PDF BibTeX XML Cite \textit{E. K. Franke}, J. Theor. Biol. 26, No. 3, 373--382 (1970; Zbl 1170.92319) Full Text: DOI OpenURL References: [1] Bromwich, T.J.I., An introduction in the theory of infinite series, (), 189, (1955) [2] Bronk, B.V.; Dienes, G.J.; Paskin, A., Biophys. J, 8, 1353, (1968) [3] Edmunds, L.N., J. cell physiol, 67, 35, (1966) [4] Goodwin, B.C., (), 223 [5] Harris, T.E.; Bellman, R., The theory of branching processes, (), 140 [6] Hirsch, H.R.; Engelberg, J., Bull. math. biophys, 28, 391, (1966) [7] Hirsch, H.R.; Engelberg, J., J. theor. biol, 9, 303, (1965) [8] James, T.W., Ann. N.Y. acad. sci, 90, 550, (1960) [9] Martinez, H., Bull. math. biophys, 28, 411, (1966) [10] Von Foerster, H., () [11] Wille, J.J., J. protozool, 15, 785, (1968) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.