Cell Growth And Kinetics Flashcards
How do bacteria grow (specifics)
- Asexually
- Binary fission
- Increase cell size
- Replicate DNA
- Divide
What is doubling time?
-The time taken for microbial population to double in number
What is generation time?
-Time taken for a single cell to divide
What are the 4 stages of cell growth?
- Lag phase
- Exponential (log) phase
- Stationary phase
- Death phase
What happens in the lag phase of growth?
- Little increase in cell conc.
- Cells are adjusting to environment, synthensizing enzymes and getting ready to reproduce
What is the lag phase affected by?
- nutrient requirements
- media/extent of change of growth environment
- phase and size of innoculation bacteria
What happens in exponential growth phase?
- Cells growth rate is proportional to cell conc.
- Dividing at maximum rate, all enzyme pathways for metabolizing substrate are in place from lag phase
- Can use nutrients most effectively
What happens in the stationary phase?
- Cells reach minimum biological space,limited cell growth
- Lack one or more nutrients and depletion of essential metabolites
- Build up of organic acids and toxic materials also slow growth
- Net growth is zero
- Many important fermentation products e.g antibiotics are produced in this phase
What happens in death phase?
- Decrease in live cell conc.
- Due to toxic by-prodcuts, harsh environment, depletion of nutrient supply or substrate
What is the rate of change of Cc in a batch system?
dCc/dt = rG = μ*Cc
Integrated between Cc=Cc0 at t=0 and Cc=Cc at t=t gives:
ln(C/C0)= μt
Or
C=Cc0exp(μ*t)
What is the equation for specific growth rate?
μ=(μmax*Cs)/(Ks+Cs)
μ, specific growth rate
μmax, max specifc growth rate
Ks, Monod constant, g/dm^3 (1/2 μmax)
Cs, substrate (nutrient) conc. g/dm^3
What is the Monod equation in terms of μmax?
rG= (μmaxCcCs)/(Ks+Cs)
rG, growth rate g/dm^3.s
What is the equation for doubling time?
td= ln(2)/μ
What is the equation for rG in terms of μmax when a product inhibits the rate of growth?
rG=Kobs(μmaxCc*Cs)/(Ks+Cs)
Kobs=observed rate constant
What is the equation for Kobs?
Kobs=(1-(Cp/Cp*))^n
Cp*, product conc. at which metabolism ceases
n, empiral constant
(Will be given)