Dynamic System: Chemostat Variation

In summary, the conversation discusses the use of a Michaelis-Menten growth rate in a chemostat model and the existence of a positive steady state. The solution is provided in the form of equations for N and C at the steady state. A link is also provided for background information on the topic.
  • #1
msell2
15
0

Homework Statement


Suppose that we use a Michaelis-Menten growth rate in the chemostat model, and that the parameters are chosen so that a positive steady state exists. Show that
N = f(V,F,C0) = (C0(F - VKm) + FKn)/(a(F - VKm))
and
C = (FKn)/(F - VKm)
at the positive steady state.


The Attempt at a Solution


I don't even know what this question is asking. I copied it word for word; there are no typos on my end. The problem can be seen at this link:
www.math.rutgers.edu/~sontag/336/notes336_06.pdf on page 109. Any help on what this means would be wonderful!
 
Last edited by a moderator:
Physics news on Phys.org

FAQ: Dynamic System: Chemostat Variation

1. What is a chemostat?

A chemostat is a type of bioreactor that is used in microbiology and biochemistry to control the growth of microorganisms. It is a closed system that continuously supplies nutrients to a culture and removes waste products, maintaining a constant environment for the microorganisms to grow in.

2. What is the purpose of using a chemostat?

The main purpose of using a chemostat is to study the growth and metabolism of microorganisms under controlled conditions. It is also used for the production of specific substances, such as antibiotics or enzymes, by manipulating the nutrient supply and environmental conditions.

3. How does a chemostat maintain a constant environment?

A chemostat maintains a constant environment by continuously supplying fresh nutrients to the culture while removing waste products and excess microorganisms. This is achieved through the use of a feedback control system that monitors and adjusts the flow of nutrients and removes waste products as needed.

4. What are the advantages of using a chemostat?

Some advantages of using a chemostat include the ability to control and manipulate the growth conditions for studying microorganisms, the production of specific substances, and the maintenance of a constant environment for long-term experiments. It also requires less maintenance and is more cost-effective compared to other bioreactors.

5. What are some limitations of using a chemostat?

One limitation of using a chemostat is that it can only be used for microorganisms that can grow in a liquid medium. It also requires a constant supply of nutrients, which can be expensive for some cultures. Additionally, the use of a chemostat may not accurately represent the growth conditions in natural environments, making the results less applicable to real-world situations.

Back
Top