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This Article Full Text Full Text (PDF) All Versions of this Article: 288/3/H1278    most recent 00787.2004v1 Alert me when this article is cited Alert me if a correction is posted Citation Map Services Email this article to a friend Similar articles in this journal Similar articles in Web of Science Similar articles in PubMed Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via Web of Science (36) Citing Articles via Google Scholar Google Scholar Articles by Radisic, M. Articles by Vunjak-Novakovic, G. Search for Related Content PubMed PubMed Citation Articles by Radisic, M. Articles by Vunjak-Novakovic, G.

Mathematical model of oxygen distribution in engineered cardiac tissue with parallel channel array perfused with culture medium containing oxygen carriers

¹Department of Chemical Engineering and ²Harvard-Massachusetts Institute of Technology Division of Health Sciences and Technology, Massachusetts Institute of Technology, Cambridge, Massachusetts

Submitted 3 August 2004 ; accepted in final form 6 November 2004

A steady-state model of oxygen distribution in a cardiac tissue construct with a parallel channel array was developed and solved for a set of parameters using the finite element method and commercial software (FEMLAB). The effects of an oxygen carrier [Oxygent; 32% volume perfluorocarbon (PFC) emulsion] were evaluated. The parallel channel array mimics the in vivo capillary tissue bed, and the PFC emulsion has a similar role as the natural oxygen carrier hemoglobin in increasing total oxygen content. The construct was divided into an array of cylindrical domains with a channel in the center and tissue space surrounding the channel. In the channel, the main modes of mass transfer were axial convection and radial diffusion. In the tissue region, mass transfer was by axial and radial diffusion, and the consumption of oxygen was by Michaelis-Menten kinetics. Neumann boundary conditions were imposed at the channel centerline and the half distance between the domains. Supplementation of culture medium by PFC emulsion improved mass transport by increasing convective term and effective diffusivity of culture medium. The model was first implemented for the following set of experimentally obtained parameters: construct thickness of 0.2 cm, channel diameter of 330 µm, channel center-to-center spacingof 700 µm, and average linear velocity per channel of 0.049 cm/s, in conjunction with PFC supplemented and unsupplemented culture medium. Subsequently, the model was used to define favorable scaffold geometry and flow conditions necessary to cultivate cardiac constructs of high cell density (10⁸ cells/ml) and clinically relevant thickness (0.5 cm). In future work, the model can be utilized as a tool for optimization of scaffold geometry and flow conditions.

tissue engineering; cardiac myocyte; scaffold mass transport; perfluorocarbons

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