Hello,
it is possible to determine the initial population of, let's say, bacteria given a measure at a later time? Let's say I use the logistic growth model:
dN/dt = rN(1-N/K)
and let's assume I know K.
Let's imagine I have a mouse and I inject it with a dose of Shiga-toxin producing Escherichia coli (STEC). After 24 h the mouse dies, and I measure STEC with qPCR, obtaining a value of 20 million cells.
The question is: can I calculate how many bacteria were in the initial shot (N0)?
And how many parameters I need to know? for instance, let's say the mouse simply died some times after the injection; can I know N0 even if the absence of the time parameter?
How do I calculate K?
Thank you
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