There is a huge repository of vitamin K research at
http://www.k-vitamins.com/, ordered by body systems and decades published. Though myself haven't it read through, one would probably find something about mechanisms there.
In my case even that high dose product didn't lower serum calcium. Vitamin D3 brought it from below normal in serum up to the mean of normal after 2 years, and it stayed there despite adding increasing amounts of K vitamins afterwards. Calcium in HTMAs been twice above normal the last 8 years tested, in average at 810 ug/g (220-970 normal range; where some interpret high calcium in hair as meaning low in body stores..). And ionized calcium at the mean of normal for the last 4 years tested.