Modeling of flow‐induced shear stress applied on 3D cellular scaffolds: Implications for vascular tissue engineering

Novel tissue‐culture bioreactors employ flow‐induced shear stress as a means of mechanical stimulation of cells. We developed a computational fluid dynamics model of the complex three‐dimensional (3D) microstructure of a porous scaffold incubated in a direct perfusion bioreactor. Our model was designed to predict high shear‐stress values within the physiological range of those naturally sensed by vascular cells (1–10 dyne/cm²), and will thereby provide suitable conditions for vascular tissue‐engineering experiments. The model also accounts for cellular growth, which was designed as an added cell layer grown on all scaffold walls. Five model variants were designed, with geometric differences corresponding to cell‐layer thicknesses of 0, 50, 75, 100, and 125 µm. Four inlet velocities (0.5, 1, 1.5, and 2 cm/s) were applied to each model. Wall shear‐stress distribution and overall pressure drop calculations were then used to characterize the relation between flow rate, shear stress, cell‐layer thickness, and pressure drop. The simulations showed that cellular growth within 3D scaffolds exposes cells to elevated shear stress, with considerably increasing average values in correlation to cell growth and inflow velocity. Our results provide in‐depth analysis of the microdynamic environment of cells cultured within 3D environments, and thus provide advanced control over tissue development in vitro. Biotechnol. Bioeng. 2010; 105: 645–654. © 2009 Wiley Periodicals, Inc.     

Modeling fluid flow through irregular scaffolds for perfusion bioreactors

Direct perfusion of 3D tissue engineered constructs is known to enhance osteogenesis, which can be partly attributed to enhanced nutrient and waste transport. In addition flow mediated shear stresses are known to upregulate osteogenic differentiation and mineralization. A quantification of the hydrodynamic environment is therefore crucial to interpret and compare results of in vitro bioreactor experiments. This study aims to deal with the pitfalls of numerical model preparation of highly complex 3D bone scaffold structures and aims to provide more accurate wall shear stress (WSS) estimates. µCT imaging techniques were used to reconstruct the geometry of both a titanium (Ti) and a hydroxyapatite scaffold, starting from 430 images with a resolution of 8 µm. To tackle the tradeoff between model size and mesh resolution we selected two concentric regions of interest (cubes with a volume of 1 and 3.375 mm³, respectively) for both scaffolds. A flow guidance in front of the real inlet surface of the scaffold was designed to mimic realistic inlet conditions. With a flow rate of 0.04 mL/min perfused through a 5 mm diameter scaffold at an inlet velocity of 33.95 µm/s we obtained average WSSs of 1.10 and 1.46 mPa for the 1 mm³ and the 3.375 mm³ model of the hydroxyapatite scaffold compared to 1.40 and 1.95 mPa for the 1 mm³ model and the 3.375 mm³ model of the Ti scaffold, showing the important influence of the scaffold micro‐architecture heterogeneity and the proximity of boundaries. To assess that influence we selected cubic portions, of which the WSS data were analyzed, with the same size and the same location within both 1 and 3.375 mm³ cubic models. Varying the size of the inner portions simultaneously in both model selections gives a quantification of the sensitivity to boundary neighborhood. This methodology allows to get more insight in the complex concept of tissue engineering and will likely help to understand and eventually improve the fluid‐mechanical aspects. Biotechnol. Bioeng. 2009;103: 621–630. © 2009 Wiley Periodicals, Inc.     

Hypoxia induces osteogenic/angiogenic responses of bone marrow‐derived mesenchymal stromal cells seeded on bone‐derived scaffolds via ERK1/2 and p38 pathways

Osteogenesis and angiogenesis are tightly coupled processes during bone development and formation. It is thus well known that the enhancement of vascularization is of great importance in bone tissue engineering. As a potential approach for repairing bone defects, bone tissue constructs should therefore replicate the essential components in vivo microenvironments to promote cell osteogenic differentiation while at same time induce angiogenic response. In light of standpoint above, a combination of human bone‐derived scaffolds and BMSCs that subjected to hypoxia was used to mimic in vivo conditions. Also the underlying cellular/molecular regulation was fully investigated. The results showed that hypoxia (5–10% O₂) greatly enhanced the proliferation of BMSCs seeded in scaffolds, although the hypoxia (5% O₂)‐induced proliferative effect on BMSC cellular scaffolds was not apparent to those cultured in plates. However, such a kind of model was able to significantly induce the osteogenic/angiogenic responses of BMSCs as reflected by osteogenesis or angiogenesis‐related highly expressed genes or proteins, such as alkaline phosphatase, osteocalcin, hypoxia‐inducible factor‐1α and vascular endothelial growth factor. Moreover, ERK1/2 and/or p38 pathways were demonstrated to play essential roles in hypoxia‐induced osteogenic/angiogenic responses. Our results indicated that the combination of bone‐derived scaffolds, a material that has a three dimensional network structure, and hypoxia, an environment that replicates in vivo BMSCs hypoxic living conditions, may be a potential approach for creating functional tissue‐engineered bone. Biotechnol. Bioeng. 2013; 110: 1794–1804. © 2013 Wiley Periodicals, Inc.     

Osteogenic differentiation and osteochondral tissue engineering using human adipose‐derived stem cells

Osteogenesis and the production of composite osteochondral tissues were investigated using human adult adipose‐derived stem cells and polyglycolic acid (PGA) mesh scaffolds under dynamic culture conditions. For osteogenesis, cells were expanded with or without osteoinduction factors and cultured in control or osteogenic medium for 2 weeks. Osteogenic medium enhanced osteopontin and osteocalcin gene expression when applied after but not during cell expansion. Osteogenesis was induced and mineralized deposits were present in tissues produced using PGA culture in osteogenic medium. For development of osteochondral constructs, scaffolds seeded with stem cells were precultured in either chondrogenic or osteogenic medium, sutured together, and cultured in dual‐chamber stirred bioreactors containing chondrogenic and osteogenic media in separate compartments. After 2 weeks, total collagen synthesis was 2.1‐fold greater in the chondroinduced sections of the composite tissues compared with the osteoinduced sections; differentiation markers for cartilage and bone were produced in both sections of the constructs. The results from the dual‐chamber bioreactor highlight the challenges associated with achieving simultaneous chondrogenic and osteogenic differentiation in tissue engineering applications using a single stem‐cell source. © 2012 American Institute of Chemical Engineers Biotechnol. Prog., 2013     

Three hours of perfusion culture prior to 28 days of static culture, enhances osteogenesis by human cells in a collagen GAG scaffold

In tissue engineering, bioreactors can be used to aid in the in vitro development of new tissue by providing biochemical and physical regulatory signals to cells and encouraging them to undergo differentiation and/or to produce extracellular matrix prior to in vivo implantation. This study examined the effect of short term flow perfusion bioreactor culture, prior to long‐term static culture, on human osteoblast cell distribution and osteogenesis within a collagen glycosaminoglycan (CG) scaffold for bone tissue engineering. Human fetal osteoblasts (hFOB 1.19) were seeded onto CG scaffolds and pre‐cultured for 6 days. Constructs were then placed into the bioreactor and exposed to 3 × 1 h bouts of steady flow (1 mL/min) separated by 7 h of no flow over a 24‐h period. The constructs were then cultured under static osteogenic conditions for up to 28 days. Results show that the bioreactor and static culture control groups displayed similar cell numbers and metabolic activity. Histologically, however, peripheral cell‐encapsulation was observed in the static controls, whereas, improved migration and homogenous cell distribution was seen in the bioreactor groups. Gene expression analysis showed that all osteogenic markers investigated displayed greater levels of expression in the bioreactor groups compared to static controls. While static groups showed increased mineral deposition; mechanical testing revealed that there was no difference in the compressive modulus between bioreactor and static groups. In conclusion, a flow perfusion bioreactor improved construct homogeneity by preventing peripheral encapsulation whilst also providing an enhanced osteogenic phenotype over static controls. Bioeng. 2011; 108:1203–1210. © 2010 Wiley Periodicals, Inc.     

Flow characterization of a wavy-walled bioreactor for cartilage tissue engineering

Cartilage tissue engineering requires the use of bioreactors in order to enhance nutrient transport and to provide sufficient mechanical stimuli to promote extracellular matrix (ECM) synthesis by chondrocytes. The amount and quality of ECM components is a large determinant of the biochemical and mechanical properties of engineered cartilage constructs. Mechanical forces created by the hydrodynamic environment within the bioreactors are known to influence ECM synthesis. The present study characterizes the hydrodynamic environment within a novel wavy-walled bioreactor (WWB) used for the development of tissue-engineered cartilage. The geometry of this bioreactor provides a unique hydrodynamic environment for mammalian cell and tissue culture, and investigation of hydrodynamic effects on tissue growth and function. The flow field within the WWB was characterized using two-dimensional particle-image velocimetry (PIV). The flow in the WWB differed significantly from that in the traditional spinner flask both qualitatively and quantitatively, and was influenced by the positioning of constructs within the bioreactor. Measurements of velocity fields were used to estimate the mean-shear stress, Reynolds stress, and turbulent kinetic energy components in the vicinity of the constructs within the WWB. The mean-shear stress experienced by the tissue-engineered constructs in the WWB calculated using PIV measurements was in the range of 0-0.6 dynes/cm2. Quantification of the shear stress experienced by cartilage constructs, in this case through PIV, is essential for the development of tissue-growth models relating hydrodynamic parameters to tissue properties.     

Kinetic responses of Dunaliella in moving fluids

The objective of this work was to quantify the kinetic behavior of Dunaliella primolecta (D. primolecta) subjected to controlled fluid flow under laboratory conditions. In situ velocities of D. primolecta were quantified by micron‐resolution particle image velocimetry and particle tracking velocimetry. Experiments were performed under a range of velocity gradients and corresponding energy dissipation levels at microscopic scales similar to the energy dissipation levels of natural aquatic ecosystems. An average swimming velocity of D. primolecta in a stagnant fluid was 41 µm/s without a preferential flow direction. In a moving fluid, the sample population velocities of D. primolecta follow a log‐normal distribution. The variability of sample population velocities was maximal at the highest fluid flow velocity in the channel. Local fluid velocity gradients inhibited the accrual of D. primolecta by twofold 5 days after the initiation of the experiment in comparison to the non‐moving fluid control experiment. Biotechnol. Bioeng. 2010;107: 65–75. © 2010 Wiley Periodicals, Inc.     

A uniform‐shear rate microfluidic bioreactor for real‐time study of proplatelet formation and rapidly‐released platelets

Platelet transfusions, with profound clinical importance in blood clotting and wound healing, are entirely derived from human volunteer donors. Hospitals rely on a steady supply of donations, but these methods are limited by a 5‐day shelf life, the potential risk of contamination, and differences in donor/recipient histocompatibility. These challenges invite the opportunity to generate platelets ex vivo. Although much progress has been made in generating large numbers of culture‐derived megakaryocytes (Mks, the precursor cells to platelets), stimulating a high percentage of Mks to undergo platelet release remains a major challenge. Recent studies have demonstrated the utility of shear forces to enhance platelet release from cultured Mks. In this study, we performed a computational fluid dynamics (CFD) analysis of several published platelet microbioreactor systems, and used the results to develop a new 7‐µm slit bioreactor—with well‐defined flow patterns and uniform shear profiles. This uniform‐shear‐rate bioreactor (USRB‐7µm) permits real‐time visualization of the proplatelet (proPLT) formation process and the rapid‐release of individual platelet‐like‐particles (PLPs), which has been observed in vivo, but not previously reported for platelet bioreactors. We showed that modulating shear forces and flow patterns had an immediate and significant impact on PLP generation. Surprisingly, using a single flow instead of dual flows led to an unexpected six‐fold increase in PLP production. By identifying particularly effective operating conditions within a physiologically relevant environment, this USRB‐7µm will be a useful tool for the study and analysis of proPLT/PLP formation that will further understanding of how to increase ex vivo platelet release. © 2017 American Institute of Chemical Engineers Biotechnol. Prog., 33:1614–1629, 2017     

Tissue engineering of cartilage using a mechanobioreactor exerting simultaneous mechanical shear and compression to simulate the rolling action of articular joints

The effect of dynamic mechanical shear and compression on the synthesis of human tissue‐engineered cartilage was investigated using a mechanobioreactor capable of simulating the rolling action of articular joints in a mixed fluid environment. Human chondrocytes seeded into polyglycolic acid (PGA) mesh or PGA–alginate scaffolds were precultured in shaking T‐flasks or recirculation perfusion bioreactors for 2.5 or 4 weeks prior to mechanical stimulation in the mechanobioreactor. Constructs were subjected to intermittent unconfined shear and compressive loading at a frequency of 0.05 Hz using a peak‐to‐peak compressive strain amplitude of 2.2% superimposed on a static axial compressive strain of 6.5%. The mechanical treatment was carried out for up to 2.5 weeks using a loading regime of 10 min duration each day with the direction of the shear forces reversed after 5 min and release of all loading at the end of the daily treatment period. Compared with shaking T‐flasks and mechanobioreactor control cultures without loading, mechanical treatment improved the amount and quality of cartilage produced. On a per cell basis, synthesis of both major structural components of cartilage, glycosaminoglycan (GAG) and collagen type II, was enhanced substantially by up to 5.3‐ and 10‐fold, respectively, depending on the scaffold type and seeding cell density. Levels of collagen type II as a percentage of total collagen were also increased after mechanical treatment by up to 3.4‐fold in PGA constructs. Mechanical treatment had a less pronounced effect on the composition of constructs precultured in perfusion bioreactors compared with perfusion culture controls. This work demonstrates that the quality of tissue‐engineered cartilage can be enhanced significantly by application of simultaneous dynamic mechanical shear and compression, with the greatest benefits evident for synthesis of collagen type II. Biotechnol. Bioeng. 2012; 109:1060–1073. © 2011 Wiley Periodicals, Inc.     

The effect of continuous culture on the growth and structure of tissue‐engineered cartilage

The use of bioreactors for cartilage tissue engineering has become increasingly important as traditional batch‐fed culture is not optimal for in vitro tissue growth. Most tissue engineering bioreactors rely on convection as the primary means to provide mass transfer; however, convective transport can also impart potentially unwanted and/or uncontrollable mechanical stimuli to the cells resident in the construct. The reliance on diffusive transport may not necessarily be ineffectual as previous studies have observed improved cartilaginous tissue growth when the constructs were cultured in elevated volumes of media. In this study, to approximate an infinite reservoir of media, we investigated the effect of continuous culture on cartilaginous tissue growth in vitro. Isolated bovine articular chondrocytes were seeded in high density, 3D culture on Millicell? filters. After two weeks of preculture, the constructs were cultivated with or without continuous media flow (5–10 μL/min) for a period of one week. Tissue engineered cartilage constructs grown under continuous media flow significantly accumulated more collagen and proteoglycans (increased by 50–70%). These changes were similar in magnitude to the reported effect of through‐thickness perfusion without the need for large volumetric flow rates (5–10μL/min as opposed to 240–800 μL/min). Additionally, tissues grown in the reactor displayed some evidence of the stratified morphology of native cartilage as well as containing stores of intracellular glycogen. Future studies will investigate the effect of long‐term continuous culture in terms of extracellular matrix accumulation and subsequent changes in mechanical function. © 2009 American Institute of Chemical Engineers Biotechnol. Prog., 2009     

A low shear stress modular bioreactor for connected cell culture under high flow rates

A generic “system on a plate” modular multicompartmental bioreactor array which enables microwell protocols to be transferred directly to the bioreactor modules, without redesign of cell culture experiments or protocols is described. The modular bioreactors are simple to assemble and use and can be easily compared with standard controls since cell numbers and medium volumes are quite similar. Starting from fluid dynamic and mass transport considerations, a modular bioreactor chamber was first modeled and then fabricated using “milli‐molding,” a technique adapted from soft lithography. After confirming that the shear stress was extremely low in the system in the range of useful flow rates, the bioreactor chambers were tested using hepatocytes. The results show that the bioreactor chambers can increase or maintain cell viability and function when the flow rates are below 500 µL/min, corresponding to wall shear stresses of 10^?5 Pa or less at the cell culture surface. Biotechnol. Bioeng. 2010; 106: 127–137. © 2010 Wiley Periodicals, Inc.     

In silico multi‐scale model of transport and dynamic seeding in a bone tissue engineering perfusion bioreactor

Computer simulations can potentially be used to design, predict, and inform properties for tissue engineering perfusion bioreactors. In this work, we investigate the flow properties that result from a particular poly‐L ‐lactide porous scaffold and a particular choice of perfusion bioreactor vessel design used in bone tissue engineering. We also propose a model to investigate the dynamic seeding properties such as the homogeneity (or lack of) of the cellular distribution within the scaffold of the perfusion bioreactor: a pre‐requisite for the subsequent successful uniform growth of a viable bone tissue engineered construct. Flows inside geometrically complex scaffolds have been investigated previously and results shown at these pore scales. Here, it is our aim to show accurately that through the use of modern high performance computers that the bioreactor device scale that encloses a scaffold can affect the flows and stresses within the pores throughout the scaffold which has implications for bioreactor design, control, and use. Central to this work is that the boundary conditions are derived from micro computed tomography scans of both a device chamber and scaffold in order to avoid generalizations and uncertainties. Dynamic seeding methods have also been shown to provide certain advantages over static seeding methods. We propose here a novel coupled model for dynamic seeding accounting for flow, species mass transport and cell advection‐diffusion‐attachment tuned for bone tissue engineering. The model highlights the timescale differences between different species suggesting that traditional homogeneous porous flow models of transport must be applied with caution to perfusion bioreactors. Our in silico data illustrate the extent to which these experiments have the potential to contribute to future design and development of large‐scale bioreactors. Biotechnol. Bioeng. 2013; 110: 1221–1230. © 2012 Wiley Periodicals, Inc.     

Osteoinduction and survival of osteoblasts and bone-marrow stromal cells in 3D biphasic calcium phosphate scaffolds under static and dynamic culture conditions

In many tissue engineering approaches, the basic difference between in vitro and in vivo conditions for cells within three‐dimensional (3D) constructs is the nutrition flow dynamics. To achieve comparable results in vitro, bioreactors are advised for improved cell survival, as they are able to provide a controlled flow through the scaffold. We hypothesize that a bioreactor would enhance long‐term differentiation conditions of osteogenic cells in 3D scaffolds. To achieve this either primary rat osteoblasts or bone marrow stromal cells (BMSC) were implanted on uniform‐sized biphasic calcium phosphate (BCP) scaffolds produced by a 3D printing method. Three types of culture conditions were applied: static culture without osteoinduction (Group A); static culture with osteoinduction (Group B); dynamic culture with osteoinduction (Group C). After 3 and 6 weeks, the scaffolds were analysed by alkaline phosphatase (ALP), dsDNA amount, SEM, fluorescent labelled live‐dead assay, and real‐time RT‐PCR in addition to weekly alamarBlue assays. With osteoinduction, increased ALP values and calcium deposition are observed; however, under static conditions, a significant decrease in the cell number on the biomaterial is observed. Interestingly, the bioreactor system not only reversed the decreased cell numbers but also increased their differentiation potential. We conclude from this study that a continuous flow bioreactor not only preserves the number of osteogenic cells but also keeps their differentiation ability in balance providing a suitable cell‐seeded scaffold product for applications in regenerative medicine.     

Numerical simulation of fluid field and in vitro three-dimensional fabrication of tissue-engineered bones in a rotating bioreactor and in vivo implantation for repairing segmental bone defects

In this paper, two-dimensional flow field simulation was conducted to determine shear stresses and velocity profiles for bone tissue engineering in a rotating wall vessel bioreactor (RWVB). In addition, in vitro three-dimensional fabrication of tissue-engineered bones was carried out in optimized bioreactor conditions, and in vivo implantation using fabricated bones was performed for segmental bone defects of Zelanian rabbits. The distribution of dynamic pressure, total pressure, shear stress, and velocity within the culture chamber was calculated for different scaffold locations. According to the simulation results, the dynamic pressure, velocity, and shear stress around the surface of cell-scaffold construction periodically changed at different locations of the RWVB, which could result in periodical stress stimulation for fabricated tissue constructs. However, overall shear stresses were relatively low, and the fluid velocities were uniform in the bioreactor. Our in vitro experiments showed that the number of cells cultured in the RWVB was five times higher than those cultured in a T-flask. The tissue-engineered bones grew very well in the RWVB. This study demonstrates that stress stimulation in an RWVB can be beneficial for cell/bio-derived bone constructs fabricated in an RWVB, with an application for repairing segmental bone defects.     

Enhancing cell seeding of scaffolds in tissue engineering through manipulation of hydrodynamic parameters

The seeding of cells onto biocompatible scaffolds is a determinant step in the attainment of functional properties of engineered tissues. Efficient, fast and spatially uniform cell seeding can improve the clinical potential of engineered tissue templates. One way to approach these cell seeding requirements is through bioreactor design. In the present study, bovine chondrocytes were seeded (2.5, 5.0 or 10.0 million cells per scaffold) onto polyglycolic acid scaffolds within the hydrodynamic environments of wavy-walled and spinner flask bioreactors. Previous characterizations of the hydrodynamic environment in the vicinity of constructs cultivated in these bioreactors suggested decreased flow-induced shear stress as well as increased recirculation and magnitude of the axial fluid velocities in the wavy-walled bioreactor. Here we report more efficient and spatially uniform cell seeding in the wavy-walled bioreactor, and at intermediate initial cell densities (5 million cells per scaffold). This study constitutes an important step towards the achievement of functional tissue-engineered implants by (i) increasing our understanding of the influence of hydrodynamic parameters on the efficiency and spatial distribution of cell attachment to scaffolds and the production of extracellular matrix and (ii) introducing a comprehensive approach to the investigation of the effects of bioprocessing conditions on tissue morphology and composition.     

3D culture of osteoblast‐like cells by unidirectional or oscillatory flow for bone tissue engineering

A medium perfusion system is expected to be beneficial for three‐dimensional (3D) culture of engineered bone, not only by chemotransport enhancement but also by mechanical stimulation. In this study, perfusion systems with either unidirectional or oscillatory medium flow were developed, and the effects of the different flow profiles on 3D culturing of engineered bone were studied. Mouse osteoblast‐like MC 3T3‐E1 cells were 3D‐cultured with porous ceramic scaffolds in vitro for 6 days under static and hydrodynamic conditions with either a unidirectional or oscillatory flow. We found that, in the static culture, the cells proliferated only on the scaffold surfaces. In perfusion culture with the unidirectional flow, the proliferation was significantly higher than in the other groups but was very inhomogeneous, which made the construct unsuitable for transplantation. Only the oscillatory flow allowed osteogenic cells to proliferate uniformly throughout the scaffolds, and also increased the activity of alkaline phosphatase (ALP). These results suggested that oscillatory flow might be better than unidirectional flow for 3D construction of cell‐seeded artificial bone. The oscillatory perfusion system could be a compact, safe, and efficient bioreactor for bone tissue engineering. Biotechnol. Bioeng. 2009;102: 1670–1678. © 2008 Wiley Periodicals, Inc.     

Effects of bubble–liquid two‐phase turbulent hydrodynamics on cell damage in sparged bioreactor

According to recent experimental studies on sparged bioreactors, significant cell damage may occur at the gas inlet region near the sparger. Although shear stress was proposed to be one of the potential causes for cell damage, detailed hydrodynamic studies at the gas inlet region of gas–liquid bioreactors have not been performed to date. In this work, a second‐order moment (SOM) bubble–liquid two‐phase turbulent model based on the two‐fluid continuum approach is used to investigate the gas–liquid hydrodynamics in the bubble column reactor and their potential impacts on cell viability, especially at the gas inlet region. By establishing fluctuation velocity and bubble–liquid two‐phase fluctuation velocities correlation transport equations, the anisotropy of two‐phase stresses and the bubble–liquid interactions are fully considered. Simulation results from the SOM model indicate that shear and normal stresses, turbulent energy dissipation rate, and the turbulent kinetic energy are generally smaller at the gas inlet region when compared with those in the fully developed region. In comparison, a newly proposed correlation expression, stress‐induced turbulent energy production (STEP), is found to correlate well with the unusually high cell death rate at the gas inlet region. Therefore, STEP, which represents turbulent energy transfer to a controlled volume induced by a combination of shear and normal stresses, has the potential to provide better explanation for increased cell death at the sparger region. © 2013 American Institute of Chemical Engineers Biotechnol. Prog., 30:48–58, 2014     

Location of scaffolds in bioreactors modulates the hydrodynamic environment experienced by engineered tissues

Physical forces experienced by engineered-tissues during in vitro cultivation influence tissue growth and function. The hydrodynamic environment within bioreactors plays a decisive role in providing the necessary physical stimuli and nutrient transport to support tissue development. Our overall goal is to investigate interrelationships between the local hydrodynamic environment in the bioreactor and the structural and functional tissue properties in order to optimize the production of clinically relevant engineered-tissues. To this end, we used computational fluid dynamics (CFD) modeling to characterize the complex hydrodynamic environment in a wavy-walled bioreactor used for cultivation of tissue-engineered cartilage constructs and examined the changes in the flow field due to the presence of constructs. The flow-induced shear stress range experienced by engineered constructs cultivated in the wavy-walled bioreactor (0-0.67 dyn/cm(2)) was found to be significantly lower than that in the spinner flask (0-1.2 dyn/cm(2)), and to be modulated by the radial or axial position of the constructs. These CFD results are validated by experimental particle-image velocimetry (PIV) measurements previously reported by our group. Results from the present study indicate that the location of constructs in the bioreactor not only affected the magnitude and distribution of the shear stresses on the constructs, but also other hydrodynamic parameters, such as the directional distribution of the fluid velocity and the degree of fluid recirculation, all of which may differentially influence the development of tissue-engineered constructs.     

Fluid flow in the osteocyte mechanical environment: a fluid–structure interaction approach

Osteocytes are believed to be the primary sensor of mechanical stimuli in bone, which orchestrate osteoblasts and osteoclasts to adapt bone structure and composition to meet physiological loading demands. Experimental studies to quantify the mechanical environment surrounding bone cells are challenging, and as such, computational and theoretical approaches have modelled either the solid or fluid environment of osteocytes to predict how these cells are stimulated in vivo. Osteocytes are an elastic cellular structure that deforms in response to the external fluid flow imposed by mechanical loading. This represents a most challenging multi-physics problem in which fluid and solid domains interact, and as such, no previous study has accounted for this complex behaviour. The objective of this study is to employ fluid–structure interaction (FSI) modelling to investigate the complex mechanical environment of osteocytes in vivo. Fluorescent staining of osteocytes was performed in order to visualise their native environment and develop geometrically accurate models of the osteocyte in vivo. By simulating loading levels representative of vigorous physiological activity ( $3,000\,\upmu \upvarepsilon $ compression and 300 Pa pressure gradient), we predict average interstitial fluid velocities $(\sim 60.5\,\upmu \text{ m/s })$ and average maximum shear stresses $(\sim 11\, \text{ Pa })$ surrounding osteocytes in vivo. Interestingly, these values occur in the canaliculi around the osteocyte cell processes and are within the range of stimuli known to stimulate osteogenic responses by osteoblastic cells in vitro. Significantly our results suggest that the greatest mechanical stimulation of the osteocyte occurs in the cell processes, which, cell culture studies have indicated, is the most mechanosensitive area of the cell. These are the first computational FSI models to simulate the complex multi-physics mechanical environment of osteocyte in vivo and provide a deeper understanding of bone mechanobiology.