A 3.0 L batch bioreactor is used to grow E. coli bacteria, which have an initial concentration of 12.5 g cells/L. The growth medium contains two carbon sources, which causes diauxic growth, with each carbon source limiting cell growth. Sufficient supplies of oxygen, ammonium nitrate (NH4NO3) as a nitrogen source and all other macro and micronutrients are available. The bacteria prefer to grow on glucose (C6H12O6, supplied at 80 g/L), so it is consumed first, followed by glycerol (C3H803, supplied at 68 g/L). Since the E. coli were already growing on glucose, the lag time associated with glucose consumption is only 10 minutes. The lag time associated with glycerol consumption is 35 minutes. Further information: The chemical formula for E. coli in this bioreactor is CH1.666N0.2000.57. The specific growth rate on glucose is 0.41 h-1, and on glycerol is 0.32 h-1?The yield of cells on glucose is 0.48 g cells/g glucose, and yield on glycerol is 0.39 g cells/g glycerol. You may assume that the length of time that the cells are in deceleration phase is negligible. What is the concentration of cells when they reach the endogenous metabolism phase after consuming both carbon sources? At what time after cell growth begins in the bioreactor will the cell concentration first reach its highest concentration? Determine the stoichiometric coefficients for cell growth on each limiting carbon source.

Human Anatomy & Physiology (11th Edition)

11th Edition

ISBN:9780134580999

Author:Elaine N. Marieb, Katja N. Hoehn

Publisher:Elaine N. Marieb, Katja N. Hoehn

Chapter1: The Human Body: An Orientation

Section: Chapter Questions

Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...

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A 3.0 L batch bioreactor is used to grow E. coli bacteria, which have an initial concentration of 12.5 g cells/L. The growth medium contains two carbon sources, which causes diauxic growth, with each carbon source limiting cell growth. Sufficient supplies of oxygen, ammonium nitrate (NH4NO₃) as a nitrogen source and all other macro and micronutrients are available. The bacteria prefer to grow on glucose (C6H12O6, supplied at 80 g/L), so it is consumed first, followed by glycerol (C3H803, supplied at 68 g/L). Since the E. coli were already growing on glucose, the lag time associated with glucose consumption is only 10 minutes. The lag time associated with glycerol consumption is 35 minutes.

Further information: The chemical formula for E. coli in this bioreactor is CH_1.666N₀_.200_0.57. The specific growth rate on glucose is 0.41 h^-1, and on glycerol is 0.32 h^-1?The yield of cells on glucose is 0.48 g cells/g glucose, and yield on glycerol is 0.39 g cells/g glycerol. You may assume that the length of time that the cells are in deceleration phase is negligible.

What is the concentration of cells when they reach the endogenous metabolism phase after consuming both carbon sources?
At what time after cell growth begins in the bioreactor will the cell concentration first reach its highest concentration?
Determine the stoichiometric coefficients for cell growth on each limiting carbon source.

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