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I have the following data, which is OD600 (the second component) vs. time (the first component):

data = {{0, 0.046}, {40, 0.111}, {80, 0.291}, {120, 0.808}, {160, 1.742}, {200, 3.319}, {240, 5.017}, {280, 5.503}, {320, 5.897}}


I want to obtain the growth rate of bacteria from the above data.

If I fit a logistic function, that is, $$f(t) = \frac{L}{1 + e^{-k(t - t_0)}},$$ where $$k$$ is the growth rate, I obtain the following curve:

In this approach, the growth rate is: $$k = 0.028$$.

Now, if I fit the natural logarithm of the logistic function to the natural logarithm of OD600, I obtain:

In this case, the growth rate is: $$k = 0.025$$.

Which of these values (or, approaches) is the correct and common approach for determining the growth rate of bacteria?

Any help appreciated!

added 46 characters in body

I have the following data, which is OD600 (the second component) vs. time (the first component):

data = {{0, 0.046}, {40, 0.111}, {80, 0.291}, {120, 0.808}, {160, 1.742}, {200, 3.319}, {240, 5.017}, {280, 5.503}, {320, 5.897}}


I want to obtain the growth rate of bacteria from the above data.

If I fit a logistic function, that is, $$f(t) = \frac{L}{1 + e^{-k(t - t_0)}},$$ where $$k$$ is the growth rate, I obtain the following curve:

In this approach, the growth rate is: $$k = 0.028$$.

Now, if I fit the natural logarithm of the logistic function to the natural logarithm of ODOD600, I obtain:

In this case, the growth rate is: $$k = 0.025$$.

Which of these values (or, approaches) is the correct valueand common approach for determining the growth rate of bacteria?

Any help appreciated!

edited title

# Which oneapproach is the correct valuecommon one in the literature for determining the bacterial growth rate?

I have the following data, which is ODOD600 (the second component) vs. time (the first component):

data = {{0, 0.046}, {40, 0.111}, {80, 0.291}, {120, 0.808}, {160, 1.742}, {200, 3.319}, {240, 5.017}, {280, 5.503}, {320, 5.897}}


I want to obtain the growth rate of bacteria from the above data.

If I fit a logistic function, that is, $$f(t) = \frac{L}{1 + e^{-k(t - t_0)}},$$ where $$k$$ is the growth rate, I obtain the following curve:

In this caseapproach, the growth rate is: $$k = 0.028$$.

Now, if I fit the natural logarithm of the logistic function to the lognatural logarithm of OD, I obtain:

In this case, the growth rate is: $$k = 0.025$$.

Which of these values is the correct value for the growth rate of bacteria?

Any help appreciated!