Abstract
A kinetic analysis is performed for the description of the germination of fungal spores. The present stochastic model assumes that the germination process under consideration can be simulated by a series of random events. The transition of a fungal spore from one state to another is governed by probabilistic laws. The present analysis yields a differential equation describing the evolution of the probability distribution of the number of spores in each state. The variations of the mean and the variance of the number of germinated spores as a function of time are derived. The applicability of the present stochastic model is examined by analysing the germination ofRhizopus oligosporus spores.
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Literature
Bleyman, M. and C. Woese. 1969.J. Bacteriol. 97, 27–31.
Hsu, J. P. and H. H. Wang. 1986.J. theor. Biol. 119, 435–444.
Kendall, D. G. 1948.Biometrika 35, 316–330.
Kendall, D. G. 1952.J. R. Statist. Soc. B14, 41–44.
Leighton, T. J. and J. J. Stock. 1970.J. Bacteriol. 101, 931–940.
Levinson, H. S. and M. T. Hyatt. 1955.J. Bacteriol. 70, 368–374.
Lowry, R. J. and A. S. Sussman. 1968.J. gen. Microbiol. 51, 403–409.
Magan, N. 1988.Trans. Br. mycol. Soc. 90, 97–107.
McCormick, N. G. 1964.Biochem. biophys. Res. Commun. 14, 443–446.
McCormick, N. G. 1965.J. Bacteriol. 89, 1180–1185.
Page, W. J. and J. J. Stock. 1974.J. Bacteriol. 119, 44–49.
Piret, J. M. and A. L. Demain. 1983.J. gen. Microbiol. 129, 1309–1316.
Rousseau, P., H. O. Halvorson, L. A. Bulla Jr. and G. S. Julian. 1972.J. Bacteriol. 109, 1232–1238.
Schaeffer, P., J. Millet, and J. P. Aubert. 1965.Proc. natl Acad. Sci. U.S.A. 54, 704–711.
Thornley, J. H. M. 1977.Am. Bot. 41, 1363–1365.
van Etten, J. L., L. A. Bulla Jr. and G. S. Julian. 1974.J. Bacteriol. 117, 882–887.
van Kampen, N. G. 1981.Stochastic Processes in Physics and Chemistry, p. 145. New York: North-Holland.
Vary, J. C. and H. O. Halvorson. 1965.J. Bacteriol. 89, 1340–1347.
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Hsu, JP., Chen, TH. A kinetic analysis of the germination of fungal spores. Bltn Mathcal Biology 53, 901–909 (1991). https://doi.org/10.1007/BF02461490
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DOI: https://doi.org/10.1007/BF02461490