Lect 9 Chemostat

Lect 9 Chemostat - The Chemostat Read: Chapter 4.2 ~ 4.6...

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Unformatted text preview: The Chemostat Read: Chapter 4.2 ~ 4.6 and 4.9 ~ 4.10 Mathemacal Models in Biology (2005), Leah E delstein-Keshet The Chemostat An apparatus for the continuous culture of bacterial populations in a steady state. Nutrients are supplied continuously to the culture vessel. The cells in the vessel grow continuously on these nutrients. Residual nutrients and cells are removed from the vessel at the same rate by an overflow, thus maintaining the culture at a constant volume. The Chemostat Your Task Derive a mathematical model of bacteria growth in a chemostat Use the model to design the system so that The flow rate will not be so great as to wash out the entire culture The nutrient replenishment is sufficiently rapid so the culture is able to grow normally Building The Model Variables Nutrient Concentration C(t) mass/vol in growth chamber Bacteria Density N(t) #/vol in growth chamber Building The Model Parameters Stock Nutrient C mass/vol Concentration Volume of growth V vol. Chamber Inflow/Outflow Rate F vol/time Bacteria growth rate k 1/time Yield constant 1/ #/mass Assumptions Growth chamber is well mixed No spatial variations There is a single, growth limiting nutrient Bacteria growth rate depend on nutrient availability, that is k = k(C) Nutrient depletion occurs continuously as result of reproduction...
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This note was uploaded on 07/08/2011 for the course BM 501 taught by Professor Kop during the Spring '11 term at Bloomsburg.

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Lect 9 Chemostat - The Chemostat Read: Chapter 4.2 ~ 4.6...

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