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  • Author or Editor: J. M. Wills x
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We consider finite packings of unit-balls in Euclidean 3-spaceE 3 where the centres of the balls are the lattice points of a lattice polyhedronP of a given latticeL 3⊃E3. In particular we show that the facets ofP induced by densest sublattices ofL 3 are not too close to the next parallel layers of centres of balls. We further show that the Dirichlet-Voronoi-cells are comparatively small in this direction. The paper was stimulated by the fact that real crystals in general grow slowly in the directions normal to these dense facets.

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In vivo neutron activation analysis was used to examine the total body and partial body (hand) aluminum levels in patients with end-stage renal failure. Patients maintained on chronic hemodialysis had higher mean body burdens of aluminum than, did those clinically managed without dialysis. Approximately 70% of the patients examined indicated elevated levels of body or skeletal aluminum. A significant correlation was observed between the in vivo aluminum/calcium ratio obtained for the hand measurement and the increase in serum aluminum levels following a disferroxamine infusion test. The direct in vivo monitoring of hand Al/Ca values in patients may provide an alternate choice to bone biopsy for the detection of aluminum intoxication.

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