Substrate balance of the chemostat

Reference no: EM1388782

You are the lead engineering in charge of running a single chemostat reactor (75 L) to produce a therapeutic protein from an engineered organism. The protein is a growth associated, extracellular product. The reactor operates at a flow rate of 75 L/h. Your boss asks you to change the reactor conditions to produce 10 g/L-hr of protein product. Assuming all other operating conditions must remain constant. What concentration of input substrate (g substrate/L) is needed to achieve the desired concentration of product leaving the reactor? [Answer should be in format X. That is, some number of digits to the left of the decimal - none to the right.]
Growth parameters for the organism:
td = 0.2 hr
Ks = 1 g/L
kd = 0.05 hr-1
YP/X = 0.1 g protein/g cell
YMX/S = 0.4 g cell/g substrate
Your Answer:
Hint:
If we allow for the extracellular release of a protein product in the chemostat, the protein productivity will be the dilution rate multiplied by the product concentration (i.e., DP). If the protein production is "growth associated", its production is directly proportional to cell mass. Since the protein production is "growth associated", its production is directly proportional to cell growth rate, and we can write:
qp = YP/X ?g = YP/X (D + kd)
This term can be incorporated into the substrate balance of the chemostat (see Eq. 2 on p. 5 of lecture notes on cell growth; see also discussion on bottom of p. 8).
Note also that: YP/S = YP/XYX/S

Reference no: EM1388782

Questions Cloud

Sales have been growing very slowly for the last two years : Sales have been growing very slowly for the last two years. Management has decided to add some new items to the menu, but first they want to know more about their customers also their preferences.

Proportion of the tubes filled beyond capacity : In this continuous production process, the amount of toothpaste put in a tube is normally distributed with a mean of 8.17 ounces and a standard deviation of 0.12 ounces. If the actual capacity of the tubes used is 8.49 ounces, what proportion of t..

Illustrate what are the organization earnings : net sales of $720,000 a gross profit ratio of 35%, a times interest earned ratio of 4.23 also total assets of $1,300,417. Illustrate what are the organization's earnings before interest also taxes?

Input is control signal to represent four-bit binary number : When k=0, m=n+1, when k=1, m=n+2. Suppose that input for which m>1111 will never happen. The input variable will available from switches.

Substrate balance of the chemostat : You are the lead engineering in charge of running a single chemostat reactor (75 L) to produce a therapeutic protein from an engineered organism.

What is direction and magnitude of resulting acceleration : Consider a 10-kg block resting on a frictionless plane inclined 30 o connected by a rope through a pulley to a 10-kg block hanging free. What is the direction and magnitude of the resulting acceleration of the 2-block system?

Illustrate what type of drug testing can be done : Illustrate what type of drug testing can be done also when is it relevant to the job? Give some specific examples that you find in your research.

Illustrate what is the purpose of sweetwater university : Illustrate what is the purpose of Sweetwater University's PMS for secretaries? Does the performance of administrative secretaries impact on the performance of the University?

Maximizing andre probability : To maximize Andre's probability of landing on the net, how far away from the cannon should he position the nearest edge of the net?

User Account

All Pages