Hmmm, I started to write a response, but had dinner in between and now my text is gone. I suppose I waited too long.
We actually see Somogyi's effect with caninsulin. The study mentioned in the first link was on lantus cats, we never see Somogyi with lantus. We do see bounces with lantus. We respond differently in both occasions.
The bounce at lantus occurs after a change in dose, or when the timing of the shot was changed, or any change. It can take up to 3 days to show, so after such a change the dose is never increased the first 6 shots after the occurence. It's lowered when needed of course. The reaction is never long, sometimes only 1 preshot level, sometimes 2.
Somogyi's with caninsulin is immediate, a sharp V, and it takes the body to recover from the stress dump of glucose for at least 3 days (sometimes up to 5 days). In that period the levels can be irratic, and with caninsulin it means you have to take great care. When the cat was well regulated, the dose is lowered by at least 1/3 of the former dose. We ask the owners to take preshot levels and some do. Levels preshot can vary from very high to very low. If they do take preshot tests, and the levels are awkward, a gliding scale is made and temporarily the dose is based on preshot levels, but never more than 2/3 of the former dose. When the pattern becomes normal again, a new dose will have to be determined, very carefully, as always. Some cats stay irratic and the dose will remain based on preshots and we will advise them to switch to lantus.