Tensile behavior of cortical bone: dependence of organic matrix material properties on bone mineral content

A porous composite model is developed to analyze the tensile mechanical properties of cortical bone. The effects of microporosity (volksman's canals, osteocyte lacunae) on the mechanical properties of bone tissue are taken into account. A simple shear lag theory, wherein tensile loads are transferred between overlapped mineral platelets by shearing of the organic matrix, is used to model the reinforcement provided by mineral platelets. It is assumed that the organic matrix is elastic in tension and elastic-perfectly plastic in shear until it fails. When organic matrix shear stresses at the ends of mineral platelets reach their yield values, the stress-strain curve of bone tissue starts to deviate from linear behavior. This is referred as the microscopic yield point. At the point where the stress-strain behavior of bone shows a sharp curvature, the organic phase reaches its shear yield stress value over the entire platelet. This is referred as the macroscopic yield point. It is assumed that after macroscopic yield, mineral platelets cannot contribute to the load bearing capacity of bone and that the mechanical behavior of cortical bone tissue is determined by the organic phase only. Bone fails when the principal stress of the organic matrix is reached. By assuming that mechanical properties of the organic matrix are dependent on bone mineral content below the macroscopic yield point, the model is used to predict the entire tensile mechanical behavior of cortical bone for different mineral contents. It is found that decreased shear yield stresses and organic matrix elastic moduli are required to explain the mechanical behavior of bones with lowered mineral contents. Under these conditions, the predicted values (elastic modulus, 0.002 yield stress and strain, and ultimate stress and strain) are within 15% of experimental data.     

The many adaptations of bone

Studies concerned with the "adaptations" in bones usually deal with modelling taking place during the individual's lifetime. However, many adaptations are produced over evolutionary time. This survey samples some adaptations of bone that may occur over both length scales, and tries to show whether short- or long-term adaptation is important. (a) Woven and lamellar bone. Woven bone is less mechanically competent than lamellar bone but is frequently found in bones that grow quickly. (b) Stress concentrations in bone. Bone is full of cavities that potentially may act as stress concentrators. Usually these cavities are oriented to minimise their stress-concentrating effect. Furthermore, the "flow" of lamellae round the cavities will still further reduce their stress-concentrating effect, but the elastic anisotropy of bone will, contrarily, tend to enhance it in normal loading situations. (c) Stiffness versus toughness. The mineral content of bone is the main determinant of differences in mechanical properties. Different bones have different mineral contents that optimise the mix of stiffness and toughness needed. (d) Synergy of whole bone architecture and material properties. As bone material properties change during growth the architecture of the whole bone is modified concurrently, to produce an optimum mechanical behaviour of the whole bone. (e) Secondary remodelling. The formation of secondary osteones in general weakens bone. Various suggestions that have been put forward to account for secondary remodelling: enabling mineral homeostasis; removing dead bone; changing the grain of the bone; taking out microcracks. (f) The hollowness of bones. It is shown how the degree of hollowness is adapted to the life of the animal.     

HLA-B27 rats develop osteopaenia through increased bone resorption without any change in bone formation

Osteopaenia is a common complication of inflammatory bowel diseases (IBD). However, the mechanisms of bone loss are still the subject of debate. The aims of this study were to investigate bone loss in HLA-B27 transgenic rats, a spontaneous model of colitis and to compare the results provided by the usual markers of bone remodelling and by direct measurement of bone protein synthesis. Systemic inflammation was evaluated in HLA-B27 rats and control rats from 18 to 27 months of age. Then bone mineral density, femoral failure load, biochemical markers of bone remodelling and protein synthesis in tibial epiphysis were measured. Bone mineral density was lower in HLA-B27 rats than in controls. Plasma osteocalcin, a marker of bone formation, and fractional protein synthesis rate in tibial epiphysis did not differ between the two groups of rats. In contrast, urinary excretion of deoxypyridinoline, a marker of bone resorption, was significantly increased in HLA-B27 rats. The present results indicate that bone fragility occurs in HLA-B27 rats and mainly results from an increase in bone resorption. Systemic inflammation may be the major cause of the disruption in bone remodelling homeostasis observed in this experimental model of human IBD.     

A bone remodelling model coupling microdamage growth and repair by 3D BMU-activity

Bone as most of living tissues is able, during its entire lifetime, to adapt its internal microstructure and subsequently its associated mechanical properties to its specific mechanical and physiological environment in a process commonly known as bone remodelling. Bone is therefore continuously renewed and microdamage, accumulated by fatigue or creep, is removed minimizing the risk of fracture. Nevertheless, bone is not always able to repair itself completely. Actually, if bone repairing function is slower than microdamage accumulation, a type of bone fracture, usually known as stress fracture, can finally evolve. In this paper, we propose a bone remodelling continuous model able to simulate microdamage growth and repair in a coupled way and able therefore to predict the occurrence of stress fractures. The biological bone remodelling process is modelled in terms of equations that describe the activity of basic multicellular units. The predicted results show a good correspondence with experimental and clinical data. For example, in disuse, bone porosity increases until an equilibrium situation is achieved. In overloading, bone porosity decreases unless the damage rate is so high that causes resorption or stress fracture.Research partially supported by Diputación General de Aragón project P–008/2001) and National Network IM3 (Molecular and Multimodal Medical Imaging, Spanish Ministry of Health, Associated Partner, 300++, 2003-2005)     

Interstitial fluid flow in the osteon with spatial gradients of mechanical properties: a finite element study

Bone remodelling is the process that maintains bone structure and strength through adaptation of bone tissue mechanical properties to applied loads. Bone can be modelled as a porous deformable material whose pores are filled with cells, organic material and interstitial fluid. Fluid flow is believed to play a role in the mechanotransduction of signals for bone remodelling. In this work, an osteon, the elementary unit of cortical bone, is idealized as a hollow cylinder made of a deformable porous matrix saturated with an interstitial fluid. We use Biot’s poroelasticity theory to model the mechanical behaviour of bone tissue taking into account transverse isotropic mechanical properties. A finite element poroelastic model is developed in the COMSOL Multiphysics software. Elasticity equations and Darcy’s law are implemented in this software; they are coupled through the introduction of an interaction term to obtain poroelasticity equations. Using numerical simulations, the investigation of the effect of spatial gradients of permeability or Poisson’s ratio is performed. Results are discussed for their implication on fluid flow in osteons: (i) a permeability gradient affects more the fluid pressure than the velocity profile; (ii) focusing on the fluid flow, the key element of loading is the strain rate; (iii) a Poisson’s ratio gradient affects both fluid pressure and fluid velocity. The influence of textural and mechanical properties of bone on mechanotransduction signals for bone remodelling is also discussed.     

Calcium and bone disease

Calcium transport and calcium signaling are of basic importance in bone cells. Bone is the major store of calcium and a key regulatory organ for calcium homeostasis. Bone, in major part, responds to calcium-dependent signals from the parathyroids and via vitamin D metabolites, although bone retains direct response to extracellular calcium if parathyroid regulation is lost. Improved understanding of calcium transporters and calcium-regulated cellular processes has resulted from analysis of genetic defects, including several defects with low or high bone mass. Osteoblasts deposit calcium by mechanisms including phosphate and calcium transport with alkalinization to absorb acid created by mineral deposition; cartilage calcium mineralization occurs by passive diffusion and phosphate production. Calcium mobilization by osteoclasts is mediated by acid secretion. Both bone forming and bone resorbing cells use calcium signals as regulators of differentiation and activity. This has been studied in more detail in osteoclasts, where both osteoclast differentiation and motility are regulated by calcium.     

Coupling factors and exosomal packaging microRNAs involved in the regulation of bone remodelling

Bone remodelling is a continuous process by which bone resorption by osteoclasts is followed by bone formation by osteoblasts to maintain skeletal homeostasis. These two forces must be tightly coordinated not only quantitatively, but also in time and space, and its malfunction leads to diseases such as osteoporosis. Recent research focusing on the cross‐talk and coupling mechanisms associated with the sequential recruitment of osteoblasts to areas where osteoclasts have removed bone matrix have identified a number of osteogenic factors produced by the osteoclasts themselves. Osteoclast‐derived factors and exosomal‐containing microRNA (miRNA) can either enhance or inhibit osteoblast differentiation through paracrine and juxtacrine mechanisms, and therefore may have a central coupling role in bone formation. Entwined with angiocrine factors released by vessel‐specific endothelial cells and perivascular cells or pericytes, these factors play a critical role in angiogenesis–osteogenesis coupling essential in bone remodelling.     

Remodelling of skeletal tissues bone and structural specialisations in an elasmosaurid (Sauropterygia: Plesiosauroidea) from the Upper Cretaceous of Patagonia,Argentina

Elasmosauridae were cosmopolitan Late Cretaceous plesiosaurs with conspicuous morphological diversity. Within this group, vertebral morphology is a criterion for estimating relative age in plesiosaur. On the other hand, the microstructure of plesiosaur bone is considered as indicative of ontogenetic stage. However, knowledge about ontogenetic tissue transformation in different elements of the skeleton is poorly known. Resorption and remodelling of skeletal tissues are required for development and growth, mechanical adaptation, repair and mineral homeostasis of the vertebrate skeleton. This contribution analyses different postcranial elements of a Late Cretaceous elasmosaurid from Patagonia. Characterisation of bone microstructure indicates the presence of compact bone inner organisation in an adult derived plesiosaur from the Cretaceous and that the distribution of bone specialisations depicts conspicuous variations within a single skeleton depending on the skeletal element considered. Bone compactness or degree of remodelling in elasmosaurids is not necessarily correlated with the ontogenetic age of the animal or to costal versus pelagic lifestyles. The available data are still scarce, but we propose a topic of discussion: perhaps the degree of remodelling and compactness also may be related to the activity level and increased mechanical load in different skeletal elements.     

A bone remodelling model including the directional activity of BMUs

Bone is able to adapt itself to the mechanical and biological environment by changing its porosity and/or orientation of its internal microstructure in a process known as bone remodelling. As a consequence, a change of bone mechanical properties is produced leading to an optimum structure, able to bear the external loads with the minimum weight. This adaptation is carried out by a temporal association of cells known as BMUs (basic multicellular units) that resorb old bone and sometimes produce new organic extracellular matrix (osteoid) that is later mineralized. This involves changes in porosity, damage level (density of microcracks accumulated by cyclic loads) and mineral content. All of these features were taken into account in a previous model, but the whole process and therefore the resulting bone constitutive behaviour was considered isotropic. The model proposed herein, recognizing that bone is actually anisotropic, tries to explain how BMUs modify the anisotropy by changing their progressing direction. We check the potential of the model to predict the alignment of the bone microstructure with the external loads in different situations. Then, the model is also applied to obtain the anisotropy and mechanical properties of the human proximal femur under physiological loads with initial conditions corresponding to a heterogeneous, but otherwise isotropic bone.     

A comparative view on mechanisms and functions of skeletal remodelling in teleost fish, with special emphasis on osteoclasts and their function

Resorption and remodelling of skeletal tissues is required for development and growth, mechanical adaptation, repair, and mineral homeostasis of the vertebrate skeleton. Here we review for the first time the current knowledge about resorption and remodelling of the skeleton in teleost fish, the largest and most diverse group of extant vertebrates. Teleost species are increasingly used in aquaculture and as models in biomedical skeletal research. Thus, detailed knowledge is required to establish the differences and similarities between mammalian and teleost skeletal remodelling, and between distantly related species such as zebrafish (Danio rerio) and medaka (Oryzias latipes). The cellular mechanisms of differentiation and activation of osteoclasts and the functions of teleost skeletal remodelling are described. Several characteristics, related to skeletal remodelling, distinguish teleosts from mammals. These characteristics include (a) the absence of osteocytes in most species; (b) the absence of haematopoietic bone marrow tissue; (c) the abundance of small mononucleated osteoclasts performing non‐lacunar (smooth) bone resorption, in addition to or instead of multinucleated osteoclasts; and (d) a phosphorus‐ rather than calcium‐driven mineral homeostasis (mainly affecting the postcranial dermal skeleton). Furthermore, (e) skeletal resorption is often absent from particular sites, due to sparse or lacking endochondral ossification. Based on the mode of skeletal remodelling in early ontogeny of all teleosts and in later stages of development of teleosts with acellular bone we suggest a link between acellular bone and the predominance of mononucleated osteoclasts, on the one hand, and cellular bone and multinucleated osteoclasts on the other. The evolutionary origin of skeletal remodelling is discussed and whether mononucleated osteoclasts represent an ancestral type of resorbing cells. Revealing the differentiation and activation of teleost skeletal resorbing cells, in the absence of several factors that trigger mammalian osteoclast differentiation, is a current challenge. Understanding which characters of teleost bone remodelling are derived and which characters are conserved should enhance our understanding of the process in fish and may provide insights into alternative pathways of bone remodelling in mammals.     

In vivo fatigue microcracks in human bone: material properties of the surrounding bone matrix

Human bones sustain fatigue damage in the form of in vivo microcracks as a result of the normal everyday loading activities. These microcracks appear to preferentially accumulate in certain regions of bone and most notably in interstitial bone matrix areas. These are remnants of old bone tissue left unremodelled, which show a higher than average mineral content and consequently the occurrence of microcracks has been attributed to the possible brittleness brought about by such hypermineralisation. There is a need, therefore, for information on the in situ bone matrix properties in the vicinity of such in vivo microcracks to elucidate the possible causes of their appearance. The present study examined the elastic, strain rate (viscous) and plastic properties of bone matrix in selectively targeted areas by nanoindentation and in both quasistatic and dynamic mode. The results showed that in vivo crack areas are not as stiff as some well-known extremely mineralised and brittle bone examples (bulla, rostrum); the strain rate effects of crack regions were identical to those of other regions of human bone and agreed well with values collected for human bone in the past at the macroscale; while the plasticity index of the crack regions was also not statistically different from most bone examples (including human at random, bovine, bulla and rostrum) except antler, which showed lower plasticity and thus a greater fraction of elastic recovery in indentation energy. It is difficult, therefore, to explain the susceptibility of these interstitial regions to crack in terms of the mineral content and its after-effects on elasticity, viscosity and plasticity alone, but one need to attribute the cracks to the cumulative loading history of these areas, or raise the suggestion that these areas of bone matrix are in some measure 'aged' or material/quality defective.     

ATPase pumps in osteoclasts and osteoblasts

Osteoblasts, osteocytes and osteoclasts are specialised cells of bone that play crucial roles in the formation, maintenance and resorption of bone matrix. Bone formation and resorption critically depend on optimal intracellular calcium and phosphate homeostasis and on the expression and activity of plasma membrane transport systems in all three cell types. Osteotropic agents, mechanical stimulation and intracellular pH are important parameters that determine the fate of bone matrix and influence the activity, expression, regulation and cell surface abundance of plasma membrane transport systems. In this paper the role of ATPase pumps is reviewed in the context of their expression in bone cells, their contribution to ion homeostasis and their relation to other transport systems regulating bone turnover.     

Clinical use of calcimimetics in the treatment of hyperparathyroidisms

Recognition of the role of the extracellular calcium sensing receptor (CaR) in mineral metabolism has greatly improved our understanding of calcium homeostasis. The activation of this receptor by small changes in the extracellular ionized calcium concentration (Ca(2+)ec) regulates parathormone (PTH) and calcitonin secretion, urinary calcium excretion and ultimately bone turnover. Cloning of CaR and discovery of mutations making the receptor less or more sensitive to calcium allowed a better understanding of several hereditary disorders characterized either by hyperparathyroidism or hypoparathyroidism. CaR became an ideal target for the development of compounds able to modulate the activity of CaR, activators (calcimimetics) as well as inhibitors (calcilytics). The calcimimetics are able to amplify the sensitivity of the CaR to Ca(2+)ec, suppressing PTH levels with a resultant fall in blood Ca2+. They dose-dependently reduce the secretion of PTH in vitro in cultured parathyroid cells, in animal models and in humans. In uremic animals, these compounds prevent parathyroid cell hyperplasia, normalize plasma PTH levels and bone remodelling. In uremic patients undergoing hemodialysis, the calcimimetics reduce plasma PTH concentration at short-term (12 weeks) as well as at long-term (2 years), serum calcium-phosphorus product and bone remodelling. After one year of treatment, these patients show a gain of bone mass of 2-3% at the femoral neck and at the total body. Contrarily, the calcilytics, by inhibiting CaR, can intermittently stimulate the secretion and the serum concentration of PTH. This results in an skeletal anabolic effect with a substantial increase in bone mineral density. They are potentially very interesting for the treatment of post-menopausal osteoporosis.     

Invited Review: Pathogenesis of osteoporosis.

Patients with fragility fractures may have abnormalities in bone structural and material properties such as larger or smaller bone size, fewer and thinner trabeculae, thinned and porous cortices, and tissue mineral content that is either too high or too low. Bone models and remodels throughout life; however, with advancing age, less bone is replaced than was resorbed within each remodeling site. Estrogen deficiency at menopause increases remodeling intensity: a greater proportion of bone is remodeled on its endosteal (inner) surface, and within each of the many sites even more bone is lost as more bone is resorbed while less is replaced, accelerating architectural decay. In men, there is no midlife increase in remodeling. Bone loss within each remodeling site proceeds by reduced bone formation, producing trabecular and cortical thinning. Hypogonadism in 20-30% of elderly men contributes to bone loss. In both sexes, calcium malabsorption and secondary hyperparathyroidism increase remodeling: more bone is removed from an ever-diminishing bone mass. As bone is removed from the endosteal envelope, concurrent bone formation on the periosteal (outer) bone surface during aging partly offsets bone loss and increases bone's cross-sectional area. Periosteal apposition is less in women than in men; therefore, women have more net bone loss because they gain less on the periosteal surface, not because they resorb more on the endosteal surface. More women than men experience fractures because their smaller skeleton incurs greater architectural damage and adapts less by periosteal apposition.     

The role of osteocytes in bone regulation: mineral homeostasis versus mechanoreception

Early work on the role of osteocytes in bone regulation suggested that the primary function of these cells was osteolysis. This lytic function was not precisely defined but included mineral homeostasis and at least the initiation of matrix remodeling, if not a primary role in remodeling. This paper is an attempt to promote the concept of osteocytic osteolysis as a method of systemic mineral homeostasis and to separate it from bone remodeling. Although recent investigations have pointed to mechanotransduction as a primary function of osteocytes, resulting in a general abandonment of the osteocytic osteolysis concept, the corpus of evidence suggests that osteocytes likely have a multipurpose role in the biology of bone. The osteocyte network represents an enormous surface area over which the cells interface with the surrounding matrix, useful for both strain detection and matrix mineral access. Osteocytes have been found to possess receptors for PTH, a known regulator of mineral ion homeostasis. Cultured osteocytes placed on dentin slices demonstrated no capacity to pit the dentin, but they were not treated with a regulating factor such as PTH, nor does mineral homeostasis require substantial bone volume removal. Scaling relationships suggest that osteocyte density is inversely proportional to body mass, R(2) = 0.86, and thus directly proportional to metabolic rate. Thus, species with higher metabolic rates (and therefore a greater demand for immediate access to minerals) have more osteocytes per bone volume. Finally, osteocytes express molecules typically associated with nerve cells and which are involved with glutamate neurotransmission. By this system, almost instantaneous messages may be transmitted throughout the network, an important feature in cells whose homeostatic function would be utilized on a scale of seconds, rather than hours or days. Experimental procedures for determining the role of the osteocyte in mineral homeostasis would require calcium mobilization from the bone matrix on a relatively immediate time scale. The experimental procedure would then be coupled with a high resolution histomorphometric analysis of lacunar radiographic area and mineral density. Added to this would be an in vitro study of mineral activation capacity via cultured osteocytes treated with PTH. Osteocytic osteolysis would be confirmed by an increase in the demineralized volume of osteocytic lacunae and the identification of a chemical mechanism by which osteocytes can readily access the mineral portion of their immediate bone matrix. It should also be true that a reverse capacity exists by which osteocytes can remineralize their immediate matrix utilizing alkaline phosphatase for example, a chemical which they, like osteoblasts, are known to generate. It is thus proposed that osteocytes are both mechanoreceptors and systemic mineral homeostasis regulators.     

Prolonged increase in dietary phosphate intake alters bone mineralization in adult male rats

Excessive intake of dietary phosphate without the company of calcium causes serum parathyroid hormone (s-PTH) concentration to rise. We investigated the effect of a modest but prolonged increase in dietary intake of inorganic phosphate on the bone quantitative factors of mature male rats. Twenty Wistar rats were divided into two groups and fed a high-phosphate diet (1.2% phosphate) or a control diet (0.6% phosphate) for 8 weeks. In the beginning and at the end of the study period, femur and lumbar bone mineral density (BMD), bone mineral content and area were measured using DXA, s-PTH was analyzed from the blood sample, and after sacrifice, right femur was cut loose and processed into paraffin cuts. Bone diameter, inner diameter and cortical width was measured from the hematoxylin- and eosin-dyed femur cuts. Tibias were degraded and calcium and phosphate content was analyzed by inductively coupled plasma-mass spectrometer. Femoral BMD increased significantly more in the control group than in the phosphate group (P=.005). Lumbar BMD values decreased in both groups, and the fall was greater in the control group (P=.007). The phosphate group had significantly higher s-PTH values (P=.0135). Femoral histomorphometric values or tibial mineral contents did not differ between groups. In conclusion, increase in dietary phosphate intake caused s-PTH to rise and hindered mineral deposition into cortical bone, leading to lower BMD. The effect on trabecular bone was opposing as mineral loss was less in the lumbar spine of phosphate group animals. These results are in concurrence with the data stating that skeletal response to PTH is complex and site dependent.     

Bone mineralization proceeds through intracellular calcium phosphate loaded vesicles: a cryo-electron microscopy study

Bone is the most widespread mineralized tissue in vertebrates and its formation is orchestrated by specialized cells - the osteoblasts. Crystalline carbonated hydroxyapatite, an inorganic calcium phosphate mineral, constitutes a substantial fraction of mature bone tissue. Yet key aspects of the mineral formation mechanism, transport pathways and deposition in the extracellular matrix remain unidentified. Using cryo-electron microscopy on native frozen-hydrated tissues we show that during mineralization of developing mouse calvaria and long bones, bone-lining cells concentrate membrane-bound mineral granules within intracellular vesicles. Elemental analysis and electron diffraction show that the intracellular mineral granules consist of disordered calcium phosphate, a highly metastable phase and a potential precursor of carbonated hydroxyapatite. The intracellular mineral contains considerably less calcium than expected for synthetic amorphous calcium phosphate, suggesting the presence of a cellular mechanism by which phosphate entities are first formed and thereafter gradually sequester calcium within the vesicles. We thus demonstrate that in vivo osteoblasts actively produce disordered mineral packets within intracellular vesicles for mineralization of the extracellular developing bone tissue. The use of a highly disordered precursor mineral phase that later crystallizes within an extracellular matrix is a strategy employed in the formation of fish fin bones and by various invertebrate phyla. This therefore appears to be a widespread strategy used by many animal phyla, including vertebrates.     

Digestive Efficiency Mediated by Serum Calcium Predicts Bone Mineral Density in the Common Marmoset (Callithrix jacchus)

Two health problems have plagued captive common marmoset (Callithrix jacchus) colonies for nearly as long as those colonies have existed: marmoset wasting syndrome and metabolic bone disease. While marmoset wasting syndrome is explicitly linked to nutrient malabsorption, we propose metabolic bone disease is also linked to nutrient malabsorption, although indirectly. If animals experience negative nutrient balance chronically, critical nutrients may be taken from mineral stores such as the skeleton, thus leaving those stores depleted. We indirectly tested this prediction through an initial investigation of digestive efficiency, as measured by apparent energy digestibility, and serum parameters known to play a part in metabolic bone mineral density of captive common marmoset monkeys. In our initial study on 12 clinically healthy animals, we found a wide range of digestive efficiencies, and subjects with lower digestive efficiency had lower serum vitamin D despite having higher food intakes. A second experiment on 23 subjects including several with suspected bone disease was undertaken to measure digestive and serum parameters, with the addition of a measure of bone mineral density by dual‐energy X‐ray absorptiometry (DEXA). Bone mineral density was positively associated with apparent digestibility of energy, vitamin D, and serum calcium. Further, digestive efficiency was found to predict bone mineral density when mediated by serum calcium. These data indicate that a poor ability to digest and absorb nutrients leads to calcium and vitamin D insufficiency. Vitamin D absorption may be particularly critical for indoor‐housed animals, as opposed to animals in a more natural setting, because vitamin D that would otherwise be synthesized via exposure to sunlight must be absorbed from their diet. If malabsorption persists, metabolic bone disease is a possible consequence in common marmosets. These findings support our hypothesis that both wasting syndrome and metabolic bone disease in captive common marmosets are consequences of inefficient nutrient absorption. Am. J. Primatol. 75:153‐160, 2013. © 2012 Wiley Periodicals, Inc.