How Linear Tension Converts to Curvature: Geometric Control of Bone Tissue Growth

This study investigated how substrate geometry influences in-vitro tissue formation at length scales much larger than a single cell. Two-millimetre thick hydroxyapatite plates containing circular pores and semi-circular channels of 0.5 mm radius, mimicking osteons and hemi-osteons respectively, were incubated with MC3T3-E1 cells for 4 weeks. The amount and shape of the tissue formed in the pores, as measured using phase contrast microscopy, depended on the substrate geometry. It was further demonstrated, using a simple geometric model, that the observed curvature-controlled growth can be derived from the assembly of tensile elements on a curved substrate. These tensile elements are cells anchored on distant points of the curved surface, thus creating an actin “chord” by generating tension between the adhesion sites. Such a chord model was used to link the shape of the substrate to cell organisation and tissue patterning. In a pore with a circular cross-section, tissue growth increases the average curvature of the surface, whereas a semi-circular channel tends to be flattened out. Thereby, a single mechanism could describe new tissue growth in both cortical and trabecular bone after resorption due to remodelling. These similarities between in-vitro and in-vivo patterns suggest geometry as an important signal for bone remodelling

Fetal and postnatal mouse bone tissue contains more calcium than is present in hydroxyapatite

It has been shown for developing enamel and zebrafish fin that hydroxyapatite (HA) is preceded by an amorphous precursor, motivating us to examine the mineral development in mammalian bone, particularly femur and tibia of fetal and young mice. Mineral particle thickness and arrangement were characterized by (synchrotron) small-angle X-ray scattering (SAXS) combined with wide-angle X-ray diffraction (WAXD) and X-ray fluorescence (XRF) analysis. Simultaneous measurements of the local calcium content and the HA content via XRF and WAXD, respectively, revealed the total calcium contained in HA crystals. Interestingly, bones of fetal as well as newborn mice contained a certain fraction of calcium which is not part of the HA crystals. Mineral deposition could be first detected in fetal tibia at day 16.5 by environmental scanning electron microscopy (ESEM). SAXS revealed a complete lack of orientation in the mineral particles at this stage, whereas 1day after birth particles were predominantly aligned parallel to the longitudinal bone axis, with the highest degree of alignment in the midshaft. Moreover, we found that mineral particle length increased with age as well as the thickness, while fetal particles were thicker but much shorter. In summary, this study revealed strong differences in size and orientation of the mineral particles between fetal and postnatal bone, with bulkier, randomly oriented particles at the fetal stage, and highly aligned, much longer particles after birth. Moreover, a part of the calcium seems to be present in other form than HA at all stages of development