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      A mathematical model for the design of fibrin microcapsules with skin cells.

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          Abstract

          The use of fibrin in tissue engineering has greatly increased over the last 10 years. The aim of this research was to develop a mathematical model to relate the microcapsule-size and cell-load to growth and oxygen depletion. Keratinocytes were isolated from rat skins and microencapsulated dropping fibrinogen and thrombin solutions. The cell growth was measured with MTT-assay and confirmed using histochemical technique. The oxygen was evaluated using a Clark sensor. It was found that Fick-Monod model explained the cell growth for the first 48 h, but overestimated the same thereafter. It was necessary to add a logistic equation to reach valid results. In relation to the preferred implant alternative, when considering large initial cell loads, the possibility to implant small loads of fast-growing cells arises from the simulations. In relation to the microcapsule size, it was found that a critical diameter could be established from which cell growth velocity is about the same.

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          Author and article information

          Affiliations
          [1 ] Biotechnology Center, Universidad Técnica Federico Santa María, Av. España 1680, Valparaíso, Chile. cristian.acevedo@usm.cl
          Journal
          Bioprocess Biosyst Eng
          Bioprocess and biosystems engineering
          Springer Nature America, Inc
          1615-7605
          1615-7591
          Apr 2009
          : 32
          : 3
          10.1007/s00449-008-0253-1
          18704504

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