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To track cell growth and utilization of the limiting substrate in a bioreactor, the yield is typically used. The yield overline v is defined as Y = (X - X_{0}) / (S_{0} - S) Where X and S are the cell mass and substrate concentration at any time t and X_{0} and S_{0} are the initial cell mass and substrate concentration. Assume that your cells spend a time tl in the lag phase, and then transition to the exponential phase. Calculate the concentration of the substrate S, at any time point t in the reactor Use Monod equation in the exponential phase to relate mu net to mu max . Your final answer should only contain S. S_{0} X_{0} t, mu max and K_{s}

To track cell growth and utilization of the limiting substrate in a bioreactor, the yield is typically used. The yield overline v is defined as Y = (X - X_{0}) / (S_{0} - S) Where X and S are the cell mass and substrate concentration at any time t and X_{0} and S_{0} are the initial cell mass and substrate concentration. Assume that your cells spend a time tl in the lag phase, and then transition to the exponential phase. Calculate the concentration of the substrate S, at any time point t in the reactor Use Monod equation in the exponential phase to relate mu net to mu max . Your final answer should only contain S. S_{0} X_{0} t, mu max and K_{s}

Biochemistry
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
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To track cell growth and utilization of the limiting substrate in a bioreactor, the yield is typically used. The yield overline v is defined as Y = (X - X_{0}) / (S_{0} - S) Where X and S are the cell mass and substrate concentration at any time t and X_{0} and S_{0} are the initial cell mass and substrate concentration. Assume that your cells spend a time tl in the lag phase, and then transition to the exponential phase. Calculate the concentration of the substrate S, at any time point t in the reactor

Use Monod equation in the exponential phase to relate mu net to mu max . Your final answer should only contain S. S_{0} X_{0} t, mu max and K_{s}

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