A mathematical model for the design of fibrin microcapsules with skin cells |
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Authors: | Cristian A. Acevedo Caroline Weinstein-Oppenheimer Donald I. Brown Holger Huebner Rainer Buchholz Manuel E. Young |
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Affiliation: | 1.Biotechnology Center,Universidad Técnica Federico Santa María,Valparaíso,Chile;2.Departamento de Bioquímica, Facultad de Farmacia,Universidad de Valparaíso,Valparaíso,Chile;3.Departamento de Biología y Ciencias Ambientales, Facultad de Ciencias,Universidad de Valparaíso,Valparaíso,Chile;4.Department of Bioprocess Engineering,Friedrich-Alexander University of Erlangen-Nuremberg,Erlangen,Germany |
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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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Keywords: | Fibrin Microencapsulation Keratinocytes Logistic equation Oxygen diffusion |
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