title: Cyclic loading of growing tissue in a bioreactor: mathematical model and asymptotic analysis.
abstract: A simplified 2D mathematical model for tissue growth within a cyclically-loaded tissue engineering scaffold is presented and analyzed. Such cyclic loading has the potential to improve yield and functionality of tissue such as bone and cartilage when grown on a scaffold within a perfusion bioreactor. The cyclic compression affects the flow of the perfused nutrient, leading to flow properties that are inherently unsteady, though periodic, on a timescale short compared with that of tissue proliferation. A two-timescale analysis based on these well-separated timescales is exploited to derive a closed model for the tissue growth on the long timescale of proliferation. Some sample numerical results are given for the final model, and discussed.
authors.affiliation: Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ, 07102, USA.
authors.forename: J V
authors.initials: JV
authors.lastname: Pohlmeyer
authors.forename: L J
authors.initials: LJ
authors.lastname: Cummings
mesh_terms: D000818:Animals; D001696:Biomechanical Phenomena; D019149:Bioreactors; D002356:Cartilage / Q000254:growth & development / Q000502:physiology; D019902:Chondrocytes / Q000166:cytology / Q000502:physiology; D019295:Computational Biology; D003470:Culture Media; D055641:Mathematical Concepts; D008954:Models, Biological; D023822:Tissue Engineering / Q000379:methods* / Q000706:statistics & numerical data; D054457:Tissue Scaffolds
chemical_list: D003470:Culture Media