Peculiarities of the internal construction of tooth enamel and bones that cause anisotropy effects and mass transfer in these objects are described. It is shown that the composition of the mineral component of teeth and bones depends on a mechanical-electrical mechanism, which pumps ions into nanocrystals. Decrease in the efficiency of the mechanical-electrical mechanism results in demineralization of enamel and bones, which progresses most rapidly at a disease of the biomineral or under special conditions, such as in space flights. Effects of signal anisotropy in the practice of retrospective EPR dosimetry are discussed.