lec13_03212007_w - 10.37 Chemical and Biological Reaction...

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10.37 Chemical and Biological Reaction Engineering, Spring 2007 Prof. K. Dane Wittrup Lecture 13: Biological Reactors- Chemostats This lecture covers: theory of the chemostat, fed batch or semi-continuous fermentor operations Biological Reactors (Chemostat) Concentration/Combustion constant Biological CSTR [S] 0 V F F [S], x Figure 1. Diagram of a chemostat. F = Volumetric flow rate biomass x = volume [S] 0 = Concentration of growth limiting substrate. (for growing cells) At steady-state, biomass balance In – Out + Prod = Acc Sterile feed: In=0 Steady state: Acc=0 −+ Fx r V0 at steady-state x = Cell growth kinetics rx x = μ Fx x = Solve F = V D=Dilution rate F 1 ≡= V τ = D Biological Mechanical Cite as: K. Dane Wittrup, course materials for 10.37 Chemical and Biological Reaction Engineering, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].
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When at steady-state, can control cell mass. Allows precisely reproducible cell states. Not easy to run at steady-state. Material balance on [S] (sugar concentration) In – Out + Prod = Acc 0 at steady-state 1 FS [] 0 −− μ x V = 0 Y x s Yield coefficient mass biomass created mass substrate consumed Divide by V x DS ([ ] 0 −= [ S ]) ±²³²´ change in sugar Y x concentration s At steady-state = D x =− YS x ([ ] 0 [ S ]) s What is the value of [ S ] ? What more information do we need?
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 10.302 taught by Professor Clarkcolton during the Fall '04 term at MIT.

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lec13_03212007_w - 10.37 Chemical and Biological Reaction...

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