In the following model I am having difficulty understanding the meaning of the parameter d in the context. I think it is a constant it terms of the dimension but I am not sure what it represents.
Any help would be really appreciated!
2026-03-24 22:51:53.1774392713
What is the meaning of the parameter d in the model $ a_{n+1}=a_{n}-ka_{n}+d $?
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$d$ is the amount which is administered at discrete time intervals. The formula breaks up as follows: $$ \text{drug in blood}_{n+1}=\text{drug in blood}_n-\text{drug metabolised}_n+\text{drug administered} $$ One usually assumes that drug metabolism rate, at least for small doses, is proportional to the concentration / amount of the drug in the bloodstream. This proportion is what $k$ signifies.