Have you had a chance to look at the Prozinc dosing methods we use here? (found in the yellow sticky documents at the top of the Prozinc ISG)
Sticky PROZINC DOSING METHODS
The sticky's are a great place to start for an understanding of the guidelines we follow here. Dosing help is based on those guidelines and the dosing protocol you choose to follow.
PLEASE don't get me wrong, we're happy to help and answer ANY questions you may have but those sticky's answer a lot of things you may not even think of asking.
1 unit is a good starting dose. Jumping from 1 unit to 3 units based on one test after only a week on insulin, not so good. Did your vet discuss Hypoglycemia or low blood sugar with you? Please have a look at and print out these two documents:
Sticky How to treat HYPOS and Sticky jojo and bunny's HYPO TOOL BOX
Most members start with the SLGS (Start Low Go Slow) dosing method. That method has you holding a dose for a week and getting the necessary test data required to determine if an increase is needed. If testing data indicates an increase is warranted we increase by 0.25 units at a time.
You mention Frankie is always hungry and it sounds like you might only be feeding twice a day. Correct me if I'm wrong please. Unregulated diabetic cats can't process their food properly. That's why they're always hungry and why most loose weight prior to diagnosis. Is Frankie underweight? Overweight? Or just right? It's okay to feed extra food especially if he's underweight. Most of us feed multiple times a day. The main meals at shot time and mini meals or snacks throughout the day. As he becomes more regulated his hunger should decrease. The only time we don't feed is in the 2 hour window before shot times (unless kitty is in low numbers and food is necessary to bump them up) We test before giving each shot to make sure it's safe to shoot and by not feeding 2 hours before shot times gives us a preshot test that's not influenced by food. For new members with very little data and those only posting in the Main Forum we usually recommend not to shoot below 200. Here in the Prozinc ISG we work with a starting no shot number of 150.
Our protocols suggest 150 mg/ml as the decision point pre-shot test. (Sometimes called the shoot/no shoot threshold). It's really to make you stop and think about your next step for the cycle, and if you should stall and not feed and retest, give a token dose or skip the shot.
The other thing I like to mention right off the bat is to familiarize yourself with the term Bouncing. This is one of the more confusing things about feline diabetes. It takes time and test data to recognize if those high numbers are a bounce or if kitty needs more insulin. Increasing insulin when kitty is bouncing can make things worse. You can read up about bouncing here:
Sticky GENERAL INFORMATION AND IMPORTANT LINKS
Frankie may eventually need 3 units of insulin but it's better to get there slowly and ensure you don't bypass the best dose. Frankie didn't get diabetes overnight. It will take time and patience, lots and lots of patience.
If you need us to clarify anything I've said or anything you've read please don't hesitate to ask!
PS - The Prozinc ISG can be pretty quiet at times. If you have any questions or concerns that are time sensitive please post right away in the Feline Health Welcome and Main Forum to get more eyes on your post.