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Algal Culturing                                                             249

                     Digital microscopy necessitates of a microscope equipped with a digital TV camera connected
                 to a personal computer running dedicated application software for cell recognition and cell count-
                 ing. It represents an automatic, reliable, and very fast approach to growth determination.


                 GROWTH RATE AND GENERATION TIME DETERMINATIONS
                 Growth curves are prepared from cell density data obtained with a hemocytometer or electronic
                 particle counter on cultures sampled at intervals, such as once per day, depending on the growth
                 rate of the alga. Plots of number of cells against time (in days) can be made, and from these
                 curves can be calculated specific growth rate or growth constant (m) and division or generation
                 time (T g ).
                     A typical growth curve will show a lag phase, an exponential or log phase, and a stationary or
                 plateau phase, where increase in density has leveled off. In the stationary phase, growth is likely
                 limited by resources such as light or nutrients. Growth rate (m) is calculated with the following
                 equation:

                                                       lnN 2 =N 1
                                                   m ¼                                      (6:5)
                                                        t 2   t 1
                 where N 2 and N 1 are number of cells at times t 2 and t 1 .
                     When N 2 is twice N 1 , for example, the population has undergone a doubling, the growth rate can
                 be expressed as

                                                         ln(2)
                                                     m ¼                                    (6:6)
                                                          T g

                     As ln(2) is equal to 0.6931, generation time can be calculated with the following equation:

                                                 T g ¼ 0:6931   m  1                        (6:7)





                 SUGGESTED READING

                 Alverson, A. J., Manoylov, K. M., and Stevenson, R. J., Laboratory sources of error for algal community
                   attributes during sample preparation and counting, Journal of Applied Phycology, 39, 1–13, 2003.
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                 Andersen, P. and Throndsen, J., Estimating cell numbers, in Hallegraeff, G. M., Anderson, D. M., and
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                   Phycology, 35, 215–226, 1999.
                 Becker, P., MicroAlgae Production Manual, http://www.mbl.edu/aquaculture
                 Berges, J. A., Franklin, D. J., and Harrison, P. J., Evolution of an artificial seawater medium: improvements in
                   enriched seawater, artificial water over the last two decades, Journal of Phycology, 37, 1138–1145, 2001.
                 Chilsholm, S. W., Temporal patterns of cell division in unicellular algae, in Physiological Bases
                   of Phytoplankton Ecology, Platt, T., Ed., Canadian Bulletin of Fishery and Acquatic Science, Vol. 210,
                   pp. 150–181, 1981.
                 Day, J. G., Conservation strategies for algae, in: Benson, E. E., Ed., Plant Conservation Biotechnology, Taylor
                   and Francis Ltd., London 1999, pp. 111–124.
                 Fogg, G. E., and Thake, B., Algal Cultures and Phytoplankton Ecology. University of Wisconsin Press,
                   Madison, 1987.
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