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This undergraduate level textbook was updated with a mixture of both SI and English units. Additional material concerning numerical methods in solving transport problems is included in this edition, but emphasis is on the understanding of fundamental transport processes. The organization of the text is such that the vertical arrangement of momentum transfer, energy transfer and mass transfer may be followed, as well as a 'horizontal' approach covering similar subject matters for all three types of transfer. (A.J.)
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We developed a method for controlling the spheroid formation of adult rat primary hepatocytes simply by optimizing the pillar diameters and patterns of nanopillar sheets. To investigate the effects of the pillar parameters on the spheroid formation, rat primary hepatocytes were cultured on nanopillar sheets with pillars that had one of five different diameters and that had been precoated with a solution containing one of two different concentrations of type I collagen. Spheroids with a compact morphology that were adhesive to the substratum and had an optimal size (50 to 100 microm) were obtained using a sheet with a pillar diameter of 2.0 microm that was precoated with 100 ng/mL of type I collagen solution. Immunohistochemistry revealed that the spheroids had a structure similar to that of native liver tissue. We then assessed the effect of overlaying reconstituted spheroids with Matrigel with the aim of achieving a simulated in vivo environment. The mRNA expression levels of MRP2, albumin, and P450-3A3 for spheroids determined by semiquantitative real-time PCR were significantly higher than those for spheroids cultured without the Matrigel overlay or for hepatocytes cultured using a conventional two-dimensional method. The spheroids obtained exhibited higher structural polarity and functional bile canaliculi compared with hepatocytes cultured using a conventional two-dimensional method.
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Prosthetic vascular bypass grafting is associated with poor long-term patency rates. Herein, we report on the mid-term performance of expanded polytetrafluoroethylene (ePTFE) vascular grafts modified with a citric acid-based biodegradable elastomer. Through a spin-shearing method, ePTFE grafts were modified by mechanically coating a layer of poly(1,8 octanediol citrate) (POC) onto the luminal nodes and fibrils of the ePTFE. Control and POC-ePTFE grafts were implanted into the porcine carotid artery circulation as end-to-side bypass grafts. Grafts were assessed by duplex ultrasonography, magnetic resonance angiography, and digital subtraction contrast angiography and were all found to be patent with no hemodynamically significant stenoses. At 4 weeks, POC-ePTFE grafts were found to be biocompatible and resulted in a similar extent of neointimal hyperplasia as well as leukocyte and monocyte/macrophage infiltration as control ePTFE grafts. Furthermore, POC supported endothelial cell growth. Lastly, scanning electron microscopy confirmed the presence of POC on the ePTFE grafts at 4 weeks. Thus, these data reveal that surface modification of blood-contacting surfaces with POC results in a biocompatible surface that does not induce any untoward effects or inflammation in the vasculature. These findings are important as they will serve as the foundation for the development of a drug-eluting vascular graft.
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Circulating leukocyte sequestration in pulmonary capillaries is arguably the initiating event of lung injury in acute respiratory distress syndrome. We present a microfluidic investigation of the roles of actin organization and myosin II activity during the different stages of leukocyte trafficking through narrow capillaries (entry, transit and shape relaxation) using specific drugs (latrunculin A, jasplakinolide, and blebbistatin). The deformation rate during entry reveals that cell stiffness depends strongly on F-actin organization and hardly on myosin II activity, supporting a microfilament role in leukocyte sequestration. In the transit stage, cell friction is influenced by stiffness, demonstrating that the actin network is not completely broken after a forced entry into a capillary. Conversely, membrane unfolding was independent of leukocyte stiffness. The surface area of sequestered leukocytes increased by up to 160% in the absence of myosin II activity, showing the major role of molecular motors in microvilli wrinkling and zipping. Finally, cell shape relaxation was largely independent of both actin organization and myosin II activity, whereas a deformed state was required for normal trafficking through capillary segments.
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The poly-(D, L-lactide) RESOMER R208 (Boehringer-Ingelheim, Germany) was modified with heparin to improve the blood contacting properties of the material. The immobilization of herapin was carried out by covalent binding with glutaraldehyde as the coupling agent. The reaction conditions, such as temperature and time, were varied to optimize the binding of heparin. The efficiency of the immobilization was monitored with respect to the total amount of coupled herapin with a toluidine blue assay and the anticoagulant activity of immobilized heparin with a factor Xa assay. The hemocompatibility of the modified polylactide was estimated after blood-material contact by the activation of platelets measured with an enzyme immuno assay for GMP140. Immobilization at ambient temperature and a reaction time of 2 h resulted in maximal heparin binding, high anticoagulant activity, and low thrombogenicity. Since the remaining unsaturated aldehyde groups of the coupling agent may cause a low hemocompatibility of the material, washing of the heparinized polylactide was carried out with ethanol. However, it was shown that washing diminished the anticoagulant activity of heparin and increased the thrombogenicity. The prolonged storage of heparinized polylactide in phosphate buffered saline for 8 days demonstrated that small quantities of heparin were released but the hemocompatibility was further improved, indicated by an increasing anticoagulant potential and a decrease in platelet activation with incubation time. A comparison of polylactide, heparinized polylactide, polypropylene, and Pellethane with respect to platelet activation by GMP140 assay and scanning electron microscopy, revealed that the heparinization of polylactide substantially improved the hemocompatibility of RESOMER R208, making the material comparable to Pellethane.
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Fluorescence recovery after photobleaching (FRAP) is widely used to measure fluorophore diffusion in artificial solutions and cellular compartments. Two new strategies to analyze FRAP data were investigated theoretically and applied to complex systems with anomalous diffusion or multiple diffusing species: 1) continuous distributions of diffusion coefficients, alpha(D), and 2) time-dependent diffusion coefficients, D(t). A regression procedure utilizing the maximum entropy method was developed to resolve alpha(D) from fluorescence recovery curves, F(t). The recovery of multi-component alpha(D) from simulated F(t) with random noise was demonstrated and limitations of the method were defined. Single narrow Gaussian alpha(D) were recovered for FRAP measurements of thin films of fluorescein and size-fractionated FITC-dextrans and Ficolls, and multi-component alpha(D) were recovered for defined fluorophore mixtures. Single Gaussian alpha(D) were also recovered for solute diffusion in viscous media containing high dextran concentrations. To identify anomalous diffusion from FRAP data, a theory was developed to compute F(t) and alpha(D) for anomalous diffusion models defined by arbitrary nonlinear mean-squared displacement versus time relations. Several characteristic alpha(D) profiles for anomalous diffusion were found, including broad alpha(D) for subdiffusion, and alpha(D) with negative amplitudes for superdiffusion. A method to deduce apparent D(t) from F(t) was also developed and shown to provide useful complementary information to alpha(D). alpha(D) and D(t) were determined from photobleaching measurements of systems with apparent anomalous subdiffusion (nonuniform solution layer) and superdiffusion (moving fluid layer). The results establish a practical strategy to characterize complex diffusive phenomena from photobleaching recovery measurements.
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Tissue engineering of 1- to 5-mm-thick, functional constructs based on cells that cannot tolerate hypoxia for prolonged time periods (e.g., cardiac myocytes) critically depends on our ability to seed the cells at a high and spatially uniform initial density and to maintain their viability and function. We hypothesized that rapid gel-cell inoculation in conjunction with direct medium perfusion through the seeded scaffold would increase the rate, yield, viability, and uniformity of cell seeding. Two cell types were studied: neonatal rat cardiomyocytes for feasibility studies of seeding and cultivation with direct medium perfusion, and C2C12 cells (a murine myoblast cell line) for detailed seeding studies. Cells were seeded at densities corresponding to those normally present in the adult rat heart ([0.5-1] x 10(8) cells/cm(3)), into collagen sponges (13 mm x 3 mm discs), using Matrigel as a vehicle for rapid cell delivery. Scaffolds inoculated with cell-gel suspension were seeded either in perfused cartridges with alternating medium flow or in orbitally mixed Petri dishes. The effects of seeding time (1.5 or 4.5 h), initial cell number (6 or 12 million cells per scaffold), and seeding set-up (medium perfusion at 0.5 and 1.5 mL/min; orbitally mixed dishes) were investigated using a randomized three-factor factorial experimental design with two or three levels and three replicates. The seeding cell yield was consistently high (over 80%), and it appeared to be determined by the rapid gel inoculation. The decrease in cell viability was markedly lower for perfused cartridges than for orbitally mixed dishes (e.g., 8.8 +/- 0.8% and 56.3 +/- 4%, respectively, for 12 million cells at 4.5 h post-seeding). Spatially uniform cell distributions were observed in perfused constructs, whereas cells were mainly located within a thin (100-200 microm) surface layer in dish seeded constructs. Over 7 days of cultivation, medium perfusion maintained the viability and differentiated function of cardiac myocytes, and the constructs contracted synchronously in response to electrical stimulation. Direct perfusion can thus enable seeding of hypoxia-sensitive cells at physiologically high and spatially uniform initial densities and maintain cell viability and function.
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One of the ongoing challenges in tissue engineering is the synthesis of a hemocompatible vascular graft. Specifically, the material used in the construct should have antithrombogenic properties and support the growth of vascular cells. Our laboratory has designed a novel biodegradable, elastomeric copolymer, poly(1,8-octanediol citrate) (POC), with mechanical and degradation properties suitable for vascular tissue engineering. The hemocompatibility of POC in vitro and its ability to support the attachment and differentiation of human aortic endothelial cell (HAEC) was assessed. The thrombogenicity and inflammatory potential of POC were assessed relative to poly(l-lactide-co-glycolide) and expanded poly(tetrafluoroethylene), as they have been used in FDA-approved devices for blood contact. Specifically, platelet aggregation and activation, protein adsorption, plasma clotting, and hemolysis were investigated. To assess the inflammatory potential of POC, the release of IL-1beta and TNF-alpha from THP-1 cells was measured. The cell compatibility of POC was assessed by confirming HAEC differentiation and attachment under flow conditions. POC exhibited decreased platelet adhesion and clotting relative to control materials. Hemolysis was negligible and protein adsorption was comparable to reference materials. IL-1beta and TNF-alpha release from THP-1 cells was comparable among all materials tested, suggesting minimal inflammatory potential. POC supported HAEC differentiation and attachment without any premodification of the surface. The results described herein are encouraging and suggest that POC is hemocompatible and an adequate candidate biomaterial for in vivo vascular tissue engineering.
Macrophages Modulate Engineered Human Tissues for Enhanced Vascularization and Healing
  • K Spiller
  • D Freytes
  • G Vunjak--Novakovic
Spiller, K., Freytes, D. & Vunjak--Novakovic, G. Macrophages Modulate Engineered Human Tissues for Enhanced Vascularization and Healing. Annals of Biomedical Engineering, 1--12, doi:10.1007/s10439--014--1156--8 (2014).
Fluid shear stress primes mouse embryonic stem cells for differentiation in a self--renewing environment via heparan sulfate proteoglycans transduction
  • Y.--C Toh
  • J Voldman
Toh, Y.--C. & Voldman, J. Fluid shear stress primes mouse embryonic stem cells for differentiation in a self--renewing environment via heparan sulfate proteoglycans transduction. The FASEB Journal 25, 1208--1217, doi:10.1096/fj.10--168971 (2011).