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              Tissue Engineering                                                                          835

              (usually less than 500 µm in diameter) with surfaces
              treated to support cell attachment. These beads are then
              maintained in suspension in medium using very low stir-
              ring speeds in order to avoid mechanical cell damage,
              either due to shearing forces in the liquid or due to bead–
              bead collisions. The surface area available per microcar-
              rier can be increased by using porous microcarriers, where
              cells can migrate and proliferate within the porous matrix
              as well as on the microcarrier surface; furthermore, cells
              within the microcarrier are protected from mechanical
                                                                FIGURE 13 Two possible configurations for a packed bed biore-
              damage. To attach cells to microcarriers, isolated cells
                                                                actor of equal volumes.
              are mixed with microcarriers in suspension. The protocol
              requires careful optimization of the number of cells per  b. Hollow-fiber systems. The hollow-fiber system
              bead, mixing velocity (intermittent mixing may be neces-  is the most widely used type of bioreactor used in tissue
              sary until cells are firmly attached), and supply of oxygen,  engineering and in artificial organ development. It consists
              which is necessary for cell attachment as the cells require  of a shell traversed by a large number of small-diameter
              energy in order to spread onto a substrate.       tubes (Fig. 14). The cells may be placed within the fibers
                Bioreactor configurations using microcarriers include  in the intracapillary space or on the shell side in the ex-
              packed and fluidized beds. A packed bed of microcarriers  tracapillary space. The compartment that does not contain
              consists of a column filled with microcarriers with porous  the cells is generally perfused with culture medium or
              plates at the inlet and outlet of the column to allow per-  the patient’s plasma or blood. The fiber walls may pro-
              fusion while preventing microcarrier entrainment by the  vide the attaching surface for the cells and/or act as a bar-
              flow. Reactor volume is proportional to the microcarrier  rier against the immune system of the host. Microcarriers
              diameter,thusitisadvantageoustoreducethemicrocarrier  have also been used as a way to provide an attachment
              size as much as possible. However, packed beds with small  surface for anchorage-dependent cells introduced in the
              beads may clog and the cells may have a tendency to accu-  shell side of hollow-fiber devices. Hollow-fiber systems
              mulate in the channels between the microcarrier surfaces.  can be designed to be implanted as vascular shunts, but
              Total flow rate is mainly dependent on cell number and the  may also be perfused with the patient’s blood or plasma
              nutrient uptake rate of the cells. Because oxygen is usu-  extracorporeally.
              ally the limiting nutrient, the medium flow rate through  There are many studies on how to determine fiber di-
              the reactor is found using the following equation:  mensions, spacing, and reactor length; however, commer-
                                                                cially available units come in a relatively limited number
                         O 2 Consumption per cell × Cell number
              Flow rate =                                       of sizes, usually with inner fiber diameters of 500 µmor
                             O 2 Concentration in medium        more. Several reports in the literature describe the use of
                                                        (23)
                                                                hollow-fiber systems in the development of a bioartificial
                                                                pancreas, which place the islets on the shell side, while
              The aspect ratio of the bed (height/diameter) determines
                                                                perfusing the fibers with the animal’s plasma or blood.
              the fluid velocity through the packed bed according to the
                                                                The fibers can be made relatively non-thrombogenic and
              equation:
                                                                of porosity sufficiently small as to avoid immune attack
                                       Flow rate
                     Fluid velocity =                   (24)    of the cells inside the shell. One difficulty with this con-
                                   Cross-sectional area         figuration is that interfiber distances in the hollow-fiber
              and is adjusted so that the magnitude of fluid mechan-  device are not well controlled, so that regions within the
              ical forces (proportional to the aspect ratio) within the  shell space receive too little nutrients.
              bed is below damaging levels (Fig. 13). Fluidized beds  It may be advantageous to place cells in the lumen of
              differ from packed beds in that the perfusing fluid mo-  small fibers because the diffusional distance between the
              tion maintains the microcarriers in suspension. Packed-  shell (where the nutrient supply would be) and the cells
              bed systems have been shown to support cell densities  is essentially equal to the fiber diameter, which is easier
                        8
              exceeding 10 cells/mL when using microporous micro-  to control than the interfiber distance. In one configura-
              carriers (500 to 850 µm in diameter). In addition, packed  tion, cells have been suspended in a collagen solution and
              beads (1.5-mm diameter) have been used to entrap aggre-  injected into the lumen of fibers where the collagen is al-
              gates of hepatocytes. The latter application was shown to  lowedtogel.Contractionofthecollagenlatticebythecells
              maintain a relatively stable level of albumin secretion (a  even creates a void in the intraluminal space, which can
              liver-specific product) for up to 3 weeks.         be perfused with hormonal supplements, etc. to enhance
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