You will have to measure that experimentally, however, if the anti-toxin is fully suppressing the toxin you would expect that decrease in growth rate to be due to the metabolic burden imposed by the plasmid itself.
Thank you. But how much does the growth rate decrease due to the plasmid burden? Because I simulating a population containing cells with and without TA-plasmid. In this case, how do I assign the growth rate to each cell type?
In that case you need growth data for cells harboring the identical plasmid without the TA then the difference between cells having the non-TA plasmid and not harboring the plasmid at all should indicate the burden associated with the plasmid. either way you must get this data experimentally.
Thanks. But I was searching the literature to get these experimental values for my theoretical model. So far I am deficient in not finding any experimental values for,
1) growth rate difference between cells with and without TA-plasmid.
2) rate at which growth is arrested or cell is lysed due to the active toxin.
I agree with Hanna Alalam that this needs to be determined experimentally, there is no single answer and it is likely to vary depending upon the host and plasmid. But in most cases it is pretty minimal. Which is not to say it doesn't exist and you can detect something in competition experiments, but a simple growth curve is not likely to show much different.