Computational modeling of combined cell population dynamics and oxygen transport in engineered tissue subject to interstitial perfusion

This work presents a computational model of tissue growth under interstitial perfusion inside a tissue engineering bioreactor. The model accounts both for the cell population dynamics, using a model based on cellular automata, and for the hydrodynamic microenvironment imposed by the bioreactor, using a model based on the Lattice–Boltzmann equation and the convection-diffusion equation. The conditions of static culture versus perfused culture were compared, by including the population dynamics along with oxygen diffusion, convective transport and consumption. The model is able to deal with arbitrary complex geometries of the spatial domain; in the present work, the domain modeled was the void space of a porous scaffold for tissue-engineered cartilage. The cell population dynamics algorithm provided results which qualitatively resembled population dynamics patterns observed in experimental studies, and these results were in good quantitative agreement with previous computational studies. Simulation of oxygen transport and consumption showed the fundamental contribution of convective transport in maintaining a high level of oxygen concentration in the whole spatial domain of the scaffold. The model was designed with the aim to be computationally efficient and easily expandable, i.e. to allow straightforward implementability of further models of complex biological phenomena of increasing scientific interest in tissue engineering, such as chemotaxis, extracellular matrix deposition and effect of mechanical stimulation.     

Computational modeling of combined cell population dynamics and oxygen transport in engineered tissue subject to interstitial perfusion

This work presents a computational model of tissue growth under interstitial perfusion inside a tissue engineering bioreactor. The model accounts both for the cell population dynamics, using a model based on cellular automata, and for the hydrodynamic microenvironment imposed by the bioreactor, using a model based on the Lattice-Boltzmann equation and the convection-diffusion equation. The conditions of static culture versus perfused culture were compared, by including the population dynamics along with oxygen diffusion, convective transport and consumption. The model is able to deal with arbitrary complex geometries of the spatial domain; in the present work, the domain modeled was the void space of a porous scaffold for tissue-engineered cartilage. The cell population dynamics algorithm provided results which qualitatively resembled population dynamics patterns observed in experimental studies, and these results were in good quantitative agreement with previous computational studies. Simulation of oxygen transport and consumption showed the fundamental contribution of convective transport in maintaining a high level of oxygen concentration in the whole spatial domain of the scaffold. The model was designed with the aim to be computationally efficient and easily expandable, i.e. to allow straightforward implementability of further models of complex biological phenomena of increasing scientific interest in tissue engineering, such as chemotaxis, extracellular matrix deposition and effect of mechanical stimulation.     

Effect of cell seeding and mechanical loading on vascularization and tissue formation inside a scaffold: A mechano-biological model using a lattice approach to simulate cell activity

Achieving successful vascularization remains one of the main problems in bone tissue engineering. After scaffold implantation, the growth of capillaries into the porous construct may be too slow to provide adequate nutrients to the cells in the scaffold interior and this inhibits tissue formation in the scaffold core. Often, prior to implantation, a controlled cell culture environment is used to stimulate cell proliferation and, once in place, the mechanical environment acting on the tissue construct is determined by the loading conditions at the implantation site. To what extent do cell seeding conditions and the construct loading environment have an effect on scaffold vascularization and tissue growth? In this study, a mechano-biological model for tissue differentiation and blood vessel growth was used to determine the influence of cell seeding on vascular network development and tissue growth inside a regular-structured bone scaffold under different loading conditions. It is predicted that increasing the number of cells seeded homogeneously reduces the rate of vascularization and the maximum penetration of the vascular network, which in turn reduces bone tissue formation. The seeding of cells in the periphery of the scaffold was predicted to be beneficial for vascularization and therefore for bone growth; however, tissue formation occurred more slowly during the first weeks after implantation compared to homogeneous seeding. Low levels of mechanical loading stimulated bone formation while high levels of loading inhibited bone formation and capillary growth. This study demonstrates the feasibility of computational design approaches for bone tissue engineering.     

The interplay between tissue growth and scaffold degradation in engineered tissue constructs

In vitro tissue engineering is emerging as a potential tool to meet the high demand for replacement tissue, caused by the increased incidence of tissue degeneration and damage. A key challenge in this field is ensuring that the mechanical properties of the engineered tissue are appropriate for the in vivo environment. Achieving this goal will require detailed understanding of the interplay between cell proliferation, extracellular matrix (ECM) deposition and scaffold degradation. In this paper, we use a mathematical model (based upon a multiphase continuum framework) to investigate the interplay between tissue growth and scaffold degradation during tissue construct evolution in vitro. Our model accommodates a cell population and culture medium, modelled as viscous fluids, together with a porous scaffold and ECM deposited by the cells, represented as rigid porous materials. We focus on tissue growth within a perfusion bioreactor system, and investigate how the predicted tissue composition is altered under the influence of (1) differential interactions between cells and the supporting scaffold and their associated ECM, (2) scaffold degradation, and (3) mechanotransduction-regulated cell proliferation and ECM deposition. Numerical simulation of the model equations reveals that scaffold heterogeneity typical of that obtained from $\mu $ CT scans of tissue engineering scaffolds can lead to significant variation in the flow-induced mechanical stimuli experienced by cells seeded in the scaffold. This leads to strong heterogeneity in the deposition of ECM. Furthermore, preferential adherence of cells to the ECM in favour of the artificial scaffold appears to have no significant influence on the eventual construct composition; adherence of cells to these supporting structures does, however, lead to cell and ECM distributions which mimic and exaggerate the heterogeneity of the underlying scaffold. Such phenomena have important ramifications for the mechanical integrity of engineered tissue constructs and their suitability for implantation in vivo.     

Prediction of the micro-fluid dynamic environment imposed to three-dimensional engineered cell systems in bioreactors

Bioreactors allowing culture medium perfusion overcome diffusion limitations associated with static culturing and provide flow-mediated mechanical stimuli. The hydrodynamic stress imposed to cells will depend not only on the culture medium flow rate, but also on the scaffold three-dimensional (3D) micro-architecture. We developed a CFD model of the flow of culture medium through a 3D scaffold of homogeneous geometry, with the aim of predicting the shear stress acting on cells as a function of parameters that can be controlled during the scaffold fabrication process, such as the scaffold porosity and the pore size, and during the cell culture, such as the medium flow rate and the diameter of the perfused scaffold section. We built three groups of models corresponding to three pore sizes: 50, 100 and 150 microm. Each group was made of four models corresponding to 59%, 65%, 77%, and 89% porosity. A commercial finite-element code was used to set up and solve the problem and to analyze the results. The mode value of shear stress varied between 2 and 5 mPa, and was obtained for a circular scaffold of 15.5 mm diameter, perfused by a flow rate of 0.5 ml/min. The simulations showed that the pore size is a variable strongly influencing the predicted shear stress level, whereas the porosity is a variable strongly affecting the statistical distribution of the shear stresses, but not their magnitude. Our results provide a basis for the completion of more exhaustive quantitative studies to further assess the relationship between perfusion, at known micro-fluid dynamic conditions, and tissue growth in vitro.     

Measurement of hydrodynamic shear by using a dissolved oxygen probe

When a dissolved oxygen (DO) probe is submerged in an air-saturated cell culture medium the thickness of the liquid film that exists outside the membrane of a DO probe changes with hydrodynamic shear. The response of the DO probe thus varies with the hydrodynamic shear environment near the DO probe in cell culture reactors. The thickness of the liquid film was estimated by using a three-layer model, which describes the flow of DO molecules through the liquid layer, the membrane, and the electrolyte, to the cathode of a DO probe. According to the three-layer model, the current output of the DO probe was a strong function of thickness of the liquid film outside the membrane of the DO probe. A correlation between shear rates on the surface of the probe and the DO saturation reading was obtained by using two concentric cylinders with a rotating inner cylinder. This correlation was then used to characterize the local hydrodynamic shear environment in a cell culture reactor. (c) 1993 John Wiley & Sons, Inc.     

Mathematical model of oxygen distribution in engineered cardiac tissue with parallel channel array perfused with culture medium containing oxygen carriers

A steady-state model of oxygen distribution in a cardiac tissue construct with a parallel channel array was developed and solved for a set of parameters using the finite element method and commercial software (FEMLAB). The effects of an oxygen carrier [Oxygent; 32% volume perfluorocarbon (PFC) emulsion] were evaluated. The parallel channel array mimics the in vivo capillary tissue bed, and the PFC emulsion has a similar role as the natural oxygen carrier hemoglobin in increasing total oxygen content. The construct was divided into an array of cylindrical domains with a channel in the center and tissue space surrounding the channel. In the channel, the main modes of mass transfer were axial convection and radial diffusion. In the tissue region, mass transfer was by axial and radial diffusion, and the consumption of oxygen was by Michaelis-Menten kinetics. Neumann boundary conditions were imposed at the channel centerline and the half distance between the domains. Supplementation of culture medium by PFC emulsion improved mass transport by increasing convective term and effective diffusivity of culture medium. The model was first implemented for the following set of experimentally obtained parameters: construct thickness of 0.2 cm, channel diameter of 330 mum, channel center-to-center spacingof 700 microm, and average linear velocity per channel of 0.049 cm/s, in conjunction with PFC supplemented and unsupplemented culture medium. Subsequently, the model was used to define favorable scaffold geometry and flow conditions necessary to cultivate cardiac constructs of high cell density (10(8) cells/ml) and clinically relevant thickness (0.5 cm). In future work, the model can be utilized as a tool for optimization of scaffold geometry and flow conditions.     

心肌组织工程的研究现状

心肌组织工程的目的是通过在体外构建思想的心肌组织工程,用于替代和修复病损的心肌组织,从心肌组织工程的细胞来源,细胞培养基,细胞接种,细胞支架,生物反应器5个方面介绍心肌组织工程的研究现状。     

Time-dependent functional maturation of scaffold-free cartilage tissue analogs

One of the most critical parameters in cartilage tissue engineering which influences the clinical success of a repair therapy is the ability to match the load-bearing capacity of the tissue as it functions in vivo. While mechanical forces are known to positively influence the development of cartilage matrix architecture, these same forces can induce long-term implant failure due to poor integration or structural deficiencies. As such, in the design of optimal repair strategies, it is critical to understand the timeline of construct maturation and how the elaboration of matrix correlates with the development of mechanical properties. We have previously characterized a scaffold-free method to engineer cartilage utilizing primary chondrocytes cultured at high density in hydrogel-coated culture vessels to promote the formation of a self-aggregating cell suspension that condenses to form a cartilage-like biomass, or cartilage tissue analog (CTA). Chondrocytes in these CTAs maintain their cellular phenotype and deposit extracellular matrix to form a construct that has characteristics similar to native cartilage; however, the mechanical integrity of CTAs had not yet been evaluated. In this study, we found that chondrocytes within CTAs produced a robust matrix of proteoglycans and collagen that correlated with increasing mechanical properties and decreasing cell-matrix ratios, leading to properties that approached that of native cartilage. These results demonstrate a unique approach to generating a cartilage-like tissue without the complicating factor of scaffold, while showing increased compressive properties and matrix characteristics consistent with other approaches, including scaffold-based constructs. To further improve the mechanics of CTAs, studies are currently underway to explore the effect of hydrodynamic loading and whether these changes would be reflective of in vivo maturation in animal models. The functional maturation of cartilage tissue analogs as described here support this engineered cartilage model for use in clinical and experimental applications for repair and regeneration in joint-related pathologies.     

Design criteria for a printed tissue engineering construct: A mathematical homogenization approach

Cartilage tissue repair procedures currently under development aim to create a construct in which patient-derived cells are seeded and expanded ex vivo before implantation back into the body. The key challenge is producing physiologically realistic constructs that mimic real tissue structure and function. One option with vast potential is to print strands of material in a 3D structure called a scaffold that imitates the real tissue structure; the strands are composed of gel seeded with cells and so provide a template for cartilaginous tissue growth. The scaffold is placed in the construct and pumped with nutrient-rich culture medium to supply nutrients to the cells and remove waste products, thus promoting tissue growth.In this paper we use asymptotic homogenization to determine the effective flow and transport properties of such a printed scaffold system. These properties are used to predict the distribution of nutrient/waste products through the construct, and to specify design criteria for the scaffold that will optimize the growth of functional tissue.     

Mesenchymal stem cell cultivation in electrospun scaffolds: mechanistic modeling for tissue engineering

Tissue engineering is a multidisciplinary field of research in which the cells, biomaterials, and processes can be optimized to develop a tissue substitute. Three-dimensional (3D) architectural features from electrospun scaffolds, such as porosity, tortuosity, fiber diameter, pore size, and interconnectivity have a great impact on cell behavior. Regarding tissue development in vitro, culture conditions such as pH, osmolality, temperature, nutrient, and metabolite concentrations dictate cell viability inside the constructs. The effect of different electrospun scaffold properties, bioreactor designs, mesenchymal stem cell culture parameters, and seeding techniques on cell behavior can be studied individually or combined with phenomenological modeling techniques. This work reviews the main culture and scaffold factors that affect tissue development in vitro regarding the culture of cells inside 3D matrices. The mathematical modeling of the relationship between these factors and cell behavior inside 3D constructs has also been critically reviewed, focusing on mesenchymal stem cell culture in electrospun scaffolds.     

Biological matrices and bionanotechnology

A crucial step towards the goal of tissue engineering a heart valve will be the choice of scaffold onto which an appropriate cell phenotype can be seeded. Successful scaffold materials should be amenable to modification, have a controlled degradation, be compatible with the cells, lack cytotoxicity and not elicit an immune or inflammatory response. In addition, the scaffold should induce appropriate responses from the cells seeded onto it, such as cell attachment, proliferation and remodelling capacity, all of which should promote the formation of a tissue construct that can mimic the structure and function of the native valve. This paper discusses the various biological scaffolds that have been considered and are being studied for use in tissue engineering a heart valve. Also, strategies to enhance the biological communication between the scaffold and the cells seeded onto it as well as the use of bionanotechnology in the manufacture of scaffolds possessing the desired properties will be discussed.     

Concentric cylinder bioreactor for production of tissue engineered cartilage: effect of seeding density and hydrodynamic loading on construct development

A concentric cylinder bioreactor has been developed to culture tissue engineered cartilage constructs under hydrodynamic loading. This bioreactor operates in a low shear stress environment, has a large growth area for construct production, allows for dynamic seeding of constructs, and provides for a uniform loading environment. Porous poly-lactic acid constructs, seeded dynamically in the bioreactor using isolated bovine chondrocytes, were cultured for 4 weeks at three seeding densities (60, 80, 100 x 10(6) cells per bioreactor) and three different shear stresses (imposed at 19, 38, and 76 rpm) to characterize the effect of chondrocyte density and hydrodynamic loading on construct growth. Construct seeding efficiency with chondrocytes is greater than 95% within 24 h. Extensive chondrocyte proliferation and matrix deposition are achieved so that after 28 days in culture, constructs from bioreactors seeded at the highest cell densities contain up to 15 x 10(6) cells, 2 mg GAG, and 3.5 mg collagen per construct and exhibit morphology similar to that of native cartilage. Bioreactors seeded with 60 million chondrocytes do not exhibit robust proliferation or matrix deposition and do not achieve morphology similar to that of native cartilage. In cultures under different steady hydrodynamic loading, the data demonstrate that higher shear stress suppresses matrix GAG deposition and encourages collagen incorporation. In contrast, under dynamic hydrodynamic loading conditions, cartilage constructs exhibit robust matrix collagen and GAG deposition. The data demonstrate that the concentric cylinder bioreactor provides a favorable hydrodynamic environment for cartilage construct growth and differentiation. Notably, construct matrix accumulation can be manipulated by hydrodynamic loading. This bioreactor is useful for fundamental studies of construct growth and to assess the significance of cell density, nutrients, and hydrodynamic loading on cartilage development. In addition, studies of cartilage tissue engineering in the well-characterized, uniform environment of the concentric cylinder bioreactor will develop important knowledge of bioprocessing parameters critical for large-scale production of engineered tissues.     

Cell culture in autologous fibrin scaffolds for applications in tissue engineering

In tissue engineering techniques, three-dimensional scaffolds are needed to adjust and guide cell growth and to allow tissue regeneration. The scaffold must be biocompatible, biodegradable and must benefit the interactions between cells and biomaterial. Some natural biomaterials such as fibrin provide a structure similar to the native extracellular matrix containing the cells. Fibrin was first used as a sealant based on pools of commercial fibrinogen. However, the high risk of viral transmission of these pools led to the development of techniques of viral inactivation and elimination and the use of autologous fibrins. In recent decades, fibrin has been used as a release system and three-dimensional scaffold for cell culture. Fibrin scaffolds have been widely used for the culture of different types of cells, and have found several applications in tissue engineering. The structure and development of scaffolds is a key point for cell culture because scaffolds of autologous fibrin offer an important alternative due to their low fibrinogen concentrations, which are more suitable for cell growth.     

Modeling,simulations, and optimization of smooth muscle cell tissue engineering for the production of vascular grafts

The paper presents a transient, continuum, two-phase model of the tissue engineering in fibrous scaffolds, including transport equations for the flowing culture medium, nutrient and cell concentration with transverse and in-plane diffusion and cell migration, a novel feature of local in-plane transport across a phenomenological pore and innovative layer-by-layer cell filling approach. The model is successfully validated for the smooth muscle cell tissue engineering of a vascular graft using crosslinked, electrospun gelatin fiber scaffolds for both static and dynamic cell culture, the latter in a dynamic bioreactor with a rotating shaft on which the tubular scaffold is attached. Parametric studies evaluate the impact of the scaffold microstructure, cell dynamics, oxygen transport, and static or dynamic conditions on the rate and extent of cell proliferation and depth of oxygen accessibility. An optimized scaffold of 75% dry porosity is proposed that can be tissue engineered into a viable and still fully oxygenated graft of the tunica media of the coronary artery within 2 days in the dynamic bioreactor. Such scaffold also matches the mechanical properties of the tunica media of the human coronary artery and the suture retention strength of a saphenous vein, often used as a coronary artery graft.     

Muscle-derived stem cells in tissue engineering: defining cell properties suitable for construct design

The terms construct or tissue equivalent refer to neotissue produced by tissue engineering techniques. The elements forming the construct are scaffolds on which cells are "recreated" to form an engineered-tissue sensitive to certain cell signals. The ability of the cells to expand and differentiate on the scaffold is determined by properties such as fixation, adhesion, proliferation and migration. Among the cell types that seem to be most promising for designing constructs are tissue-residing, or adult, stem cells, which show two main features: a capacity to differentiate into many cell lineages and the power of self-renewal. These features make them good candidates for cell replacement therapies. Here, we report the identification, isolation and culture of muscle stem cells aimed at establishing the ideal culture in terms of defining when the cultured cell population would show optimal characteristics for transfer to the scaffold to obtain a particular construct. Stem cells harvested from the dorsal muscle of white New Zealand rabbits were cultured in vitro and characterized 5 to 14 days after the start of culture. Fibroblasts obtained from the same experimental animal served as controls. The stem cells were examined by light and scanning electron microscopy. For stem cell identification, we used the antibodies anti-m-cadherin, anti-CD34 and anti-Myf-5. The markers of muscle differentiation used were: anti-vimentin, anti-alpha-actin, anti-desmin and anti-myosin. The expression profiles of the different markers of muscle differentiation and TGFbeta1 in the cell cultures were confirmed by Western blotting. Proliferation rates were determined by monitoring tritiated thymidine incorporation. The thymidine incorporation rate was substantially higher for the population of undifferentiated cells than for control fibroblasts obtained from the same animal. During the first five days of culture, most cells were negative for all the markers examined, with the exception of m-cadherin, CD34 and Myf-5, although discrete signs of vimentin expression started to emerge. After 14 days of culture, the adult stem cells showed vimentin (94.2%) and desmin (33.8%) expression yet scarce labeling for myosin (16.2%) and alpha-actin (8.3%). Control fibroblasts showed intense labeling for vimentin (99.3%) and alpha-actin (62.2%), while less than 2% of the population expressed myosin (0.9%) and desmin (1.6%). After two weeks of culture, muscle-derived stem cells show good proliferative and adhesion properties as they initiate differentiation. These conditions seem ideal for obtaining the desired construct.     

A tissue-engineered human dermal construct utilizing fibroblasts and transforming growth factor β1 to promote elastogenesis

Numerous studies have shown that extracellular matrix (ECM)-based scaffolds are suitable for dermal constructs for the differentiation of various cell types in vitro and for constructive tissue remodeling after implantation in vivo. However, a shortcoming of these ECM materials is its limited elastogenesis. Elastic fibers constitute an essential component of mammalian connective tissue and the presence of elastic fibers is crucial for the proper function of the cardiovascular, pulmonary, and intestinal systems. Since it is still largely unknown how cells coordinate the molecular events of elastic-fiber assembly, understanding the ability to regenerate elastic fibers in tissues remains a significant challenge. For this reason, human neonatal dermal fibroblasts (HDFneo) were analyzed for their potential to serve as a cell culture model for elastic fiber assembly. Using optical technologies such as multiphoton laser-scanning microscopy (MPSLM) we demonstrate that HDFneo stimulated with transforming growth factor β1 (TGF-β1) are able to produce a distinct and complex elastic fiber system in vitro. As shown by the desmosine and isodesmosine content, crosslinked elastic fibers were formed within the 3D ECM-based scaffold. This tissue-engineered dermal construct may prove to be an effective template for the development of medicinal approaches in regenerative soft skin tissue reconstruction through TGF-β1 induction.     

天然高分子复合人工肌腱组织细胞外基质的构建与表征

胶原与壳聚糖是2种具有较好生物相容性和一定力学强度的天然高分子,可在肌腱组织工程中用于细胞外基质的构建,但二者单独使用时各有不足.本研究利用二者性能上的互补,在一定的外力场作用下,采用EDC/NHS对2种天然高分子材料进行共价交联,获得具有一定空间取向和力学强度的多孔支架,然后引入细胞黏附因子RGD进行表面修饰,构建了具有较好组织相容性和细胞亲和性及适当降解速率的人工肌腱组织细胞外基质.对基质材料的力学性能、亲水性、体外降解速率等的检测和显微观察,结果显示:所构建的多孔支架材料柔软富有弹性,抗拉强度达:15.0Mpa,相应形变为:7.33%;孔隙率:79.4%;吸水率:772%;保水率:206%;在RPM1640培养液(含10%胎牛血清)和人血清中,3周总降解率分别为4.13%和37.2%,其降解速率可与肌腱修复周期相吻合,RGD修饰后材料对3T3-L1细胞具有较好的亲和性.有望成为理想的人工肌腱组织和人造皮肤细胞外基质,或整形手术的软组织填充材料.     

藻酸盐三维细胞培养在骨组织工程中应用的研究进展

目的综述藻酸盐三维细胞培养系统在骨组织工程中的应用研究进展。方法广泛查阅近年来有关藻酸盐三维细胞培养系统在骨组织工程应用研究的文献进行综述。结果藻酸盐具有良好的生物相容性,无毒、对宿主无免疫原性和生物可降解等独特的物理、化学和生物特性,藻酸盐三维细胞培养系统仍然是迄今理想的骨组织工程支架材料之一。结论藻酸盐三维细胞培养系统不仅将广泛应用于生命科学基础研究,作为一种理想的组织移植的支架材料,有望逐步走向临床应用。     

Modeling evaluation of the fluid-dynamic microenvironment in tissue-engineered constructs: a micro-CT based model

Natural cartilage remodels both in vivo and in vitro in response to mechanical stresses, hence mechanical stimulation is believed to be a potential tool to modulate extra-cellular matrix synthesis in tissue-engineered cartilage. Fluid-induced shear is known to enhance chondrogenesis in engineered cartilage constructs. The quantification of the hydrodynamic environment is a condition required to study the biochemical response to shear of 3D engineered cell systems. We developed a computational model of culture medium flow through the microstructure of a porous scaffold, during direct- perfused culture. The 3D solid model of the scaffold micro-geometry was reconstructed from 250 micro-computed tomography (micro-CT) images. The results of the fluid dynamic simulations were analyzed at the central portions of the fluid domain, to avoid boundary effects. The average, median and mode shear stress values calculated at the scaffold walls were 3.48, 2.90, and 2.45 mPa respectively, at a flow rate of 0.5 cm(3)/min, perfused through a 15 mm diameter scaffold, at an inlet fluid velocity of 53 microm/s. These results were compared to results estimated using a simplified micro-scale model and to results estimated using an analytical macro-scale porous model. The predictions given by the CT-based model are being used in conjunction with an experimental bioreactor model, in order to quantify the effects of fluid-dynamic shear on the growth modulation of tissue-engineered cartilage constructs, to potentially enhance tissue growth in vitro.