Modeling and in vitro and in vivo characterization of a tissue engineered pancreatic substitute

• Published in: Journal of combinatorial optimization 2009, Vol.17 (1), p.54-73
• Main Authors: Stabler, C. L., Fraker, C., Pedraza, E., Constantinidis, I., Sambanis, A.
• Format: Article
• Language: English
• Subjects: Animal models; Cell number; Combinatorics; Convex and Discrete Geometry; Environmental conditions; Glucose; Insulin; Insulinoma; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Operations Research/Decision Theory; Optimization; Oxygen tension; Pancreas; Theory of Computation
• ISSN: 1382-6905; 1573-2886
• DOI: 10.1007/s10878-008-9183-8

In designing appropriate devices for the development of a functional pancreatic substitute, computational models capable of accurately predicting cellular behavior constitute a critical aspect. This study investigated the model-based design, fabrication and in vitro and in vivo experimental characterization of a pancreatic substitute consisting of mouse insulinoma cells encapsulated in agarose in a disk-shaped construct. Two construct prototypes were examined: (i) a single disk construct comprised of agarose and β TC3 cells; and (ii) a buffered disk construct, consisting of agarose and β TC3 cells, coated with an additional layer of pure agarose. Diffusional studies of glucose and insulin were performed to characterize the transport properties of the material. Three dimensional oxygen diffusion-reaction models were used to predict the appropriate cell loadings for the two construct prototypes under varying external oxygen tensions. In vitro and in vivo experiments found the overall viable cell number for each construct prototype plateaued to the same value, regardless of the initial cell seeding number, when constructs were placed under identical environmental conditions. Furthermore, mathematical model calculations correlated well with experimental in vitro and in vivo results of cell viability, indicating oxygen tension to be the dominating factor in establishing total viable cell number in these constructs. These results indicate that the development of a computational model capable of accurately predicting overall cell viability is useful for the development of tissue engineered constructs, when permissive matrices and continuous cell lines are used. The applicability of this modeling and experimental methodology in the development of agarose-based constructs for use as a bioartificial pancreas is discussed.