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  • Appendix

    11 Growth in Liquid Medium

    Growth Curve

    Cells growing in a batch (shake flask) culture generally experience four distinct growth phases: a lag phase, an exponential (log) phase, a stationary phase, and a death phase. Cells in the lag phase, in which an aliquot of cells from an older culture has been transferred into fresh medium, do not grow right away. These cells must adjust to the new medium before growth will begin at a rapid rate. The length of the lag phase is dependent on a number of factors: age and genotype of the inoculum, temperature, nutrient levels of both the old and new media, aeration, and the concentration of toxins that may have been formed in the old medium. The lag phase of Saccharomyces cerevisiae at 30~ in YEPD lasts for about 3 hours. For Escherichia coli at 37~ the lag phase is usually 10-60 minutes.

    Once the cells begin growing rapidly, they are said to enter the exponential, or logarithmic (log), growth phase. Cells in this phase are growing rapidly and, unlike cells in the lag and stationary phases, most cells are in the same physiological state. The growth rate during log phase is dependent on the nutrient level and aeration of the medium. Oxygen is frequently the limiting factor in yeast cultures, and the cultures must be shaken rapidly for sufficient 02 to dissolve. The doubling time of S. cerevisiae grown in YEPD at 30~ may be between 90 and 100 minutes, while a 200-minute doubling time may be expected in minimal medium. The presence of an introduced

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  • Growth in Liquid Medium 215

    plasmid may slow down growth since plasmid replication requires energy and metabolites. At 37~ a typical E. coli strain doubles in 20-30 minutes in rich medium and in 50-60 minutes in minimal medium. The growth rate constant (/~) serves to define the rate of growth of a culture during balanced growth: /~ = In 2 + g (mean doubling time or generation time). For further discussion of this concept and derivation of this formula, see Mandelstam et al. (1982).

    As nutrients within the flask are consumed and inhibitory prod- ucts accumulate, the growth rate slows and eventually stops as the culture enters the stationary phase. Cells in a stationary phase culture are not all in the same physiological state; some are dividing while others are dying. Only the overall population size remains constant. As more nutrients are depleted, more cells die than are produced, and the culture enters the death phase.

    Aeration

    Escherichia coli and Saccharomyces cerevisiae can grow both aerobi- cally or anaerobically, although anaerobic growth does not occur with all carbon sources. With glucose, anaerobic growth occurs, but at about 10% of the rate of aerobic growth. At a density of approxi- mately 107 cells/ml in liquid medium, oxygen cannot diffuse from the atmosphere to the cells fast enough for aerobic growth, and unless the medium is shaken or directly aerated by bubbling, growth of a culture slows considerably at this cell density. Even with aeration, the oxygen supply is inadequate above a cell concentration of 2-3 x 109 cells/ml (E. coli)or 2-3 x 108 cells (S. cerevisiae).

    Inoculation and Subculture

    Since many cells in an inoculum obtained from a slant culture are dead, most experiments begin by inoculating'a small volume of growth medium and then growing the cells overnight. In the morning, cell growth will have stopped and the cell density will usually be

  • 216 Appendix 11

    2-3 x 109 cells/ml for E. coli in rich medium and 2-4 x 108 cells/ ml for S. cerevisiae in rich medium. TO obtain actively growing cells for any particular experiment, the overnight culture is diluted 10-100 times and regrown for several hours, at which time the cells are usually in exponential growth. Also, if an exponentially growing culture is rapidly chilled to below 8~ (by shaking a growth flask in ice water), stored at 4~ and then rewarmed rapidly to the original temperature at which the culture had been growing, growth will resume without a lag.

    Reference

    Mandelstam, J., McQuillen, K., and Dawes, I. (1982). "Biochemistry of Bacterial Growth," 3rd Ed. Halsted Press, Oxford, UK.