A high cell density culture of recombinant E. coli was carried out according to the following strategy: -Step 1: single batch with exponential growth until 98% conversion of the substrate, starting from V0= 4.0 L, S0=50 g/L/ X0= 1.0 g/L Step 2: batch fed with exponential flow (SF-800 g/L, μ= 0.1 h-1) until reaching X= 50.9 g/L; Step 3: batch fed with constant flow (F= 0.1 L/h) for 4 hours (induction phase with IPTG) Note: consider that the quasi-steady state is reached in both fed-batch stages. Extra data: YX/S = 0.4 gx/gs; μmax= 0.25 h-1; Ks== 1.0 g/L a) What was the cell concentration reached at the end of step 1? b) For step 3, considering that the substrate concentration in the feed was 1/4 of that used in step 2, what was the concentration of cells reached at the end of step 3? C) In terms of cell productivity, which of the three phases of cultivation was the most productive?

Human Anatomy & Physiology (11th Edition)
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ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
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Chapter1: The Human Body: An Orientation
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A high cell density culture of recombinant E. coli was carried out according to the following strategy:
-Step 1: single batch with exponential growth until 98% conversion of the substrate, starting from V0= 4.0 L, S0=50 g/L/ X0= 1.0 g/L
Step 2: batch fed with exponential flow (SF-800 g/L, μ= 0.1 h-1) until reaching X= 50.9 g/L;
Step 3: batch fed with constant flow (F= 0.1 L/h) for 4 hours (induction phase with IPTG)
Note: consider that the quasi-steady state is reached in both fed-batch stages.
Extra data: YX/S = 0.4 gx/gs; μmax= 0.25 h-1; Ks== 1.0 g/L

a) What was the cell concentration reached at the end of step 1?
b) For step 3, considering that the substrate concentration in the feed was 1/4 of that used in step 2, what was the concentration of cells reached at the end of step 3?
C) In terms of cell productivity, which of the three phases of cultivation was the most productive?

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