First off, medical terminology 101. Lamin- is a root that names a part of the body...the lamina, which can be many things but in the hoof includes the capsule and the soft tissue connecting the capsule to the bone.
The suffix, -itis, means inflammation of. You also see it referring to infection, since all infections involve inflammation. However, not all inflammations involve infection. In laminitis, there is no infection. Enzymes set off the inflammation. So, the hard and soft tissue that supports the bones inside of the hoof and connects them with the outer wall are what become inflamed. This causes separation of support structures and if it progresses to founder, the coffin bone inside of the hoof drops.
Add...interdigitates as mentioned by another poster is a term formed from the prefix inter- which means between, the root digit, which refers to a finger or toe (toe bone in this case, or hoof bone), and the suffix -ate which is a verb suffix to show action. Interdigitates means it connects digits, or (hoof) bones, or literally "acts between digits"
ADD...to kicking bear...laminae is the plural of lamina. Sorry...the teacher in me is running amok.
Add to kicking bear again.....I can't help myself sometimes.
RN horse owner and medical terminology text author.