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Math Help - Bacterial Growth

  1. #1
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    Bacterial Growth

    I need a refresher on how to calculate bacterial growth when the generation time is known. If a cell double every 4 hour then at 8 hours we have 2 cells at16 hours we have 4 at 32 hours 8 etc.

    My task is to calculate what the population would be if I am starting with 20 cells , the generation or doubling time is 4 hours and 14 days has elapsed?

    Thanks
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  2. #2
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    Quote Originally Posted by clemkonan View Post
    I need a refresher on how to calculate bacterial growth when the generation time is known. If a cell double every 4 hour then at 8 hours we have 2 cells at16 hours we have 4 at 32 hours 8 etc.

    My task is to calculate what the population would be if I am starting with 20 cells , the generation or doubling time is 4 hours and 14 days has elapsed?

    Thanks
    N(t) = N(0)\cdot 2^{t/4}

    N(t) is the amount at time t
    N(0) is the amount at the start (20)
    2 is because it's doing up in powers of 2
    t/4 because it doubles every 4 years now every year.

    N(t) = 20\cdot 2^{\frac{14*24}{4}} = 3.87x10^{26}
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  3. #3
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    Bacterial Growth

    Thanks, this is fantastic
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  4. #4
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    I think there is a typo at t/4 , 14 days gives us 84 generations not sure of the reference to "year"
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