Structural Features of Microvascular Networks Trigger Blood Flow Oscillations.

We analyse mathematical models in order to understand how microstructural features of vascular networks may affect blood flow dynamics, and to identify particular characteristics that promote the onset of self-sustained oscillations. By focusing on a simple three-node motif, we predict that network "redundancy", in the form of a redundant vessel connecting two main flow-branches, together with differences in haemodynamic resistance in the branches, can promote the emergence of oscillatory dynamics. We use existing mathematical descriptions for blood rheology and haematocrit splitting at vessel branch-points to construct our flow model; we combine numerical simulations and stability analysis to study the dynamics of the three-node network and its relation to the system's multiple steady-state solutions. While, for the case of equal inlet-pressure conditions, a "trivial" equilibrium solution with no flow in the redundant vessel always exists, we find that it is not stable when other, stable, steady-state attractors exist. In turn, these "nontrivial" steady-state solutions may undergo a Hopf bifurcation into an oscillatory state. We use the branch diameter ratio, together with the inlet haematocrit rate, to construct a two-parameter stability diagram that delineates regimes in which such oscillatory dynamics exist. We show that flow oscillations in this network geometry are only possible when the branch diameters are sufficiently different to allow for a sufficiently large flow in the redundant vessel, which acts as the driving force of the oscillations. These microstructural properties, which were found to promote oscillatory dynamics, could be used to explore sources of flow instability in biological microvascular networks.

Transformation of fetal secondary cartilage into embryonic bone in organ cultures of human mandibular condyles.

Mandibular condyles of human fetuses, 14-21 weeks in utero, were kept in an organ culture system for up to 60 days. After 6 days in culture, the cartilage of the mandibular condyle appeared to have maintained its inherent structural characteristics, including all its various layers: chondroprogenitor, chondroblastic, and hypertrophic. After 12 days in culture, no chondroblasts could be seen; instead, the entire cartilage was occupied by hypertrophic chondrocytes. At the same time, the mesenchymal cells in the vicinity of the chondroprogenitor zone differentiated into osteoblast-like cells that produced type I collagen. The progenitor cells were still actively incorporating 3H-thymidine. The newly formed osteoid-like tissue lacked both metachromatic reactivity and a response to antibodies against chondroitin sulfate. Instead, the tissue reacted positively for osteocalcin (bone gla-protein). The process of new bone formation further progressed and, by the 20th day in culture, the new bone reacted positively for type I collagen, osteonectin, and to a lesser extent for chondroitin sulfate. The osteoid also underwent mineralization as revealed by both the von Kóssa stain and vital staining with tetracycline. The above feature appeared even more intense in 40-day-old cultures. After 60 days, the newly formed bone contained osteoblasts and osteocytes, whereas the extracellular matrix revealed a high degree of matrix polarization. The results of the present study recapitulate findings reported for organ cultures of mice mandibular condyles. However, the in vitro process of de novo bone formation in human specimens requires a 6-fold longer culture time than that needed for mice condyles.

Structural characterization of the mandibular condyle in human fetuses: light and electron microscopy studies.

Mandibular condyles from 18- to 20-week-old human fetuses were examined in the light and electron microscope with particular attention to intratissue organization and extracellular matrix. In the human fetus the condyle has been divided into five layers: (1) the most superficial, articular layer, (2) chondroprogenitor cell layer, (3) condroblast cell layer, (4) nonmineralized hypertrophic cell layer, and (5) mineralized hypertrophic cell layer. The articular layer is rich in collagen fibers (mostly of the type I collagen), but the cells seldom divide. By contrast, in the chondroprogenitor cell layer and upper part of the chondroblastic cell layer mitosis gives rise to new cells. The matrix in the latter layer is composed of thick banded 'lucent' fibrils in a loose feltwork of granules representing cartilage proteoglycans. The daughter cells in the progenitor cell layer undergo differentiation which is apparently completed along the lower border of the mineralized hypertrophic cell layer--the ossification front. The matrix in the hypertrophic cell layer reveals distinct matrix vesicles that undergo mineralization and subsequently coalesce to form larger sheets of mineralized extracellular matrix. Mineralized cartilage serves as a backbone for new bone formation as marrow-derived osteoblasts and osteoclasts attach to remnants of mineralized cartilage, which enables the turning on of the remodeling cycles involved in new bone formation. It can be concluded that the process of endochondral ossification as has been reported in lower animals is recapitulated in the human fetus, thus the dynamics associated with condylar morphogenesis is maintained through phylogeny.

Immunohistochemical studies of the extracellular matrix in the condylar cartilage of the human fetal mandible: collagens and noncollagenous proteins.

This study provides data concerning the cells and their extracellular matrix in prenatal human mandibular condylar cartilage. The latter cartilage represents a secondary type of cartilage since it develops late in the morphogenesis of the craniofacial skeleton. The cartilage of the mandibular condyle is actively involved in endochondral ossification, thus showing all the phases of cartilage growth, maturation, and mineralization that precedes de novo bone formation. The present study focused on the localization and distribution of the major macromolecules that are normally encountered in cartilage and bone, including collagens, proteoglycans, fibronectin, osteonectin, osteocalcin, alkaline phosphatase, and anchorin CII. It became clear that the mineralized zone of the cartilage already contained bone-specific antigens; thus the above zone might serve as an essential propagative predecessor in the ossification process.