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Index >> Growth of Microorganism >> Exponential Phase in Growth of Microorganism

Exponential Phase in Growth of Microorganism

Exponential Phase in Growth of Microorganism - Here the cells are growing at a constant rate, is the generation time (the time between successive divisions) is constant. This is the only phase when the population is growing at a constant rate it represents the maximum. rate, and minimum generation time for prevailing conditions.

We have, therefore, autocatalytic growth, with the rate of increase in biomass (x) and the cell number (n) proportional to existing biomass or cell number.
Rate of Exchange of Biomass = dx/dt = µx
Rate of change of Cell Number = dn/dt = µn

where t represents time and µ is the specifica growth rate. These equations may be interated into the following more practival expressions.

x = x0 eµt     OR logx = log x0 + µt
n=n0 eµt     OR logn = logn0 + µt
Where x0 and n0 are values for x and n at the beginning of the exponential phase

Thus, both biomass and cell number increase exponentially. consequence is that increase in cell number becomes explosive.

Thus bacterium with a volume of 1 µm3 growing with a generation time a minutes, after 200 minutes the cell number will increase ,by a factor of 1024. This means as long as exponential growth continues, there will be a further  thousandfold increase, every 200 minutes. However, this cannot indefinitely

 

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