The Anatomy of Hands in Relation to the Favored Hand

I am cursed and blessed with left-handedness, and while I credit my creative side to it, I also blame it for my inability to form a correct bow hold with my right hand when I play my cello. I've been making my tutor crazy for years as she has tried to force my hand into the right grip, but when I imitate said bow hold, I lose my grip on the bow altogether and it causes a variety a pains throughout my hand, wrist, arm, shoulder, and back.

My question, however, is whether the favored hand of any individual, be it right or left, has different anatomy than the unfavored hand, such as a different bone or muscle layout, that makes it possible for the favored hand to operate better than the other, or is left/right-handedness all to do with the brain and experience with using one hand for years?

**I did learn my bow hold wrong initially - my first orchestra teacher didn't really know (or teach, anyway) the proper mechanics of playing the cello, leaving my tutor many bad habits to break me of later on. But this bow hold has been ailing me for a ridiculous amount of time now, and I thought if it were just a matter of exercising my right hand and 'breaking it in,' I would've gotten used to it by now.

I don't know a thing about anatomy. It grosses me out. Haha. But I'm curious about this nonetheless.

Thanks.

No nothing at all, it all has to do with your brain. If you are left-handed, then supposedly you are right brain dominant.
However it may be possible that the muscles in the hand you use more often become stronger than the other hand over time.