Hi All,
I'm not sure this is the place for this question, I am not a facebook user (yet)
I think this question is about what OAPS calls IOB, but I've seen IOB defined differently in different places.
I subdivide insulin in my body into 2 parts, insulin in the injection depot (often called a pocket) and insulin released into the body fluids and has a therapeutic effect.
So as an MDI user, I inject into the pocket, the amount of insulin in the pocket decays exponentially, the released insulin goes into my body fluids. The quantity of insulin released into my body is dependant on the quantity of insulin in the pocket.
To rephrase that, IF I maintain 5 units in the pocket with a pump, a constant amount of insulin will be released into my body fluids per minute (ie basal insulin) and the pump will need to replenish that released insulin.
Now, to double my basal rate I will need 10 units in the pocket, and the pump will be required to provide way more insulin than what is released into my body, until the insulin in the pocket has reached 10 units.
So OAPS is really managing the insulin in the pocket.
As I understand it, OAPS tells the pump to increase the basal rate, so the profile of actual insulin put into the pocket is determined by the pump's internal algorithm. I would expect a reasonable pump would quickly fill the pocket but will need to let the pocket insulin decay at the end of the temporary basal rate increase. How long is an OAPS temp basal command for?
BUT not all (any) pumps are reasonable. I have become used to medical equipment lieing to you about what they see/are doing.
Pump operation:

In this graph basal insulin starts at ~0.01 U/min increases to a temp basal of ~0.055 U/min lasting 270 minutes. It actually peaks at 1.5 U/min. I have not considered the delay in formation of monomers, I'm not sure what to do about this.
The figures I have used are a little contrived. The AUC between the basal and pocket insulin is approx 9 units, so the pump could be using this profile for a 9 unit bolus.
The grids in the graph are 45 min apart, which is the 'half time' i have used in preparing the chart. I use half times as I find DIA to vary according to dose. Consider that I inject (not pump) a 9 unit bolus and I find the insulin left at 5.5 'half times' to have no effect, but if I had taken an 18 unit bolus it will take an extra half time to get to the same amount of insulin left. Though a pump can manipulate this so that they end at the same time, ie start to decay earlier.
Sorry this became so wordy, I have used it as a soapbox to organise my thoughts. Also I'm sorry if this is the wrong place for this post.
matt