Group I Group II P. Growth associated product formation 1. Specific growth rate decreases with increasing product concentration Q. Non growth associated product formation 2. Specific product formation rate is constant R. Product inhibition 3. Specific product formation rate is proportional to specific growth rate S. Substrate inhibition 4. Specific growth rate decreases with increasing substrate concentration
Matching Microbial Growth Characteristics
This question requires matching microbial growth characteristics and product formation types (Group I) with their corresponding mathematical or conceptual descriptions (Group II). Let's analyze each item:
Group I Analysis
- P. Growth associated product formation: In this type, the product is synthesized concurrently with cell growth. The rate of product formation ($q_p$) is directly proportional to the specific growth rate ($\mu$).
- Q. Non growth associated product formation: Here, the product is formed irrespective of cell growth. The specific product formation rate ($q_p$) remains constant over time, regardless of the specific growth rate ($\mu$).
- R. Product inhibition: This occurs when the accumulated product negatively affects the microbial growth. As the concentration of the product increases, the specific growth rate ($\mu$) slows down.
- S. Substrate inhibition: This happens when the substrate itself, at high concentrations, becomes inhibitory to microbial growth. Increasing substrate concentration leads to a decrease in the specific growth rate ($\mu$).
Group II Analysis
- 1. Specific growth rate decreases with increasing product concentration: This describes product inhibition.
- 2. Specific product formation rate is constant: This defines non-growth associated product formation.
- 3. Specific product formation rate is proportional to specific growth rate: This is the characteristic of growth-associated product formation.
- 4. Specific growth rate decreases with increasing substrate concentration: This describes substrate inhibition.
Matching Results
Based on the analysis, the correct matches are:
- P (Growth associated product formation) matches with 3 (Specific product formation rate is proportional to specific growth rate).
- Q (Non growth associated product formation) matches with 2 (Specific product formation rate is constant).
- R (Product inhibition) matches with 1 (Specific growth rate decreases with increasing product concentration).
- S (Substrate inhibition) matches with 4 (Specific growth rate decreases with increasing substrate concentration).
Therefore, the correct combination is P-3, Q-2, R-1, S-4.
Important Questions from Kinetics of Cell Growth Substrate Utilization and Product Formation
If the rate at which $E. coli$ divides is $0.5 \text{ h}^{-1}$, then its doubling time is _______________ h.
- Which of the following factors can affect the growth of a microbial culture in a batch cultivation process?
Let $y(t)$ be a bacterial population whose growth is given by
$ \frac{dy}{dt} = \lambda(y + 2) $
where $ \lambda $ is the growth rate constant. If $y(0) = 1$ and $y(1) = 4$, then the value of $ \lambda $ is
If the doubling time of a bacterial population is 3 hours, then its average specific growth rate during this period is _________ $h^{-1}$.
(Round off to two decimal places)
- A microorganism is grown in a batch culture using glucose as a carbon source. The apparent growth yield is $0.5 \frac{\text{g biomass}}{\text{g substrate}}$. The initial concentrations of biomass and substrate are $2 \text{ g L}^{-1}$ and $200 \text{ g L}^{-1}$, respectively. Assuming that there is no endogenous metabolism, the maximum biomass concentration that can be achieved is ________ $\text{g L}^{-1}$.
