title: Modelling biological cell attachment and growth on adherent surfaces.
abstract: A mathematical model, in the form of an integro-partial differential equation, is presented to describe the dynamics of cells being deposited, attaching and growing in the form of a monolayer across an adherent surface. The model takes into account that the cells suspended in the media used for the seeding have a distribution of sizes, and that the attachment of cells restricts further deposition by fragmenting the parts of the domain unoccupied by cells. Once attached the cells are assumed to be able to grow and proliferate over the domain by a process of infilling of the interstitial gaps; it is shown that without cell proliferation there is a slow build up of the monolayer but if the surface is conducive to cell spreading and proliferation then complete coverage of the domain by the monolayer can be achieved more rapidly. Analytical solutions of the model equations are obtained for special cases, and numerical solutions are presented for parameter values derived from experiments of rat mesenchymal stromal cells seeded onto thin layers of collagen-coated polyethylene terephthalate electrospun fibers. The model represents a new approach to describing the deposition, attachment and growth of cells over adherent surfaces, and should prove useful for studying the dynamics of the seeding of biomaterials.
authors: Advanced Center for Translational Regenerative Medicine (ACTREM), Karolinska Institutet, Alfred Nobels Allé 8, 141 86 , Huddinge, Sweden, greg.lemon@ki.se.
authors: Greg
authors: G
authors: Lemon
authors: Ylva
authors: Y
authors: Gustafsson
authors: Johannes C
authors: JC
authors: Haag
authors: Mei L
authors: ML
authors: Lim
authors: Sebastian
authors: S
authors: Sjöqvist
authors: Fatemeh
authors: F
authors: Ajalloueian
authors: Philipp
authors: P
authors: Jungebluth
authors: Paolo
authors: P
authors: Macchiarini
mesh_terms: D000818:Animals; D002448:Cell Adhesion / Q000502:physiology*; D049109:Cell Proliferation; D059630:Mesenchymal Stem Cells / Q000502:physiology*; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D051381:Rats