Modelling biological cell attachment and growth on adherent surfaces

Research output: Contribution to journalJournal article – Annual report year: 2014Researchpeer-review

Without internal affiliation

  • Author: Lemon, Greg

    Karolinska Institutet, Sweden

  • Author: Gustafsson, Ylva

    Karolinska Institutet, Sweden

  • Author: Haag, Johannes C.

    Karolinska Institutet, Sweden

  • Author: Lim, Mei Ling

    Karolinska Institutet, Sweden

  • Author: Sjoqvist, Sebastian

    Karolinska Institutet, Sweden

  • Author: Ajalloueian, Fatemeh

    Karolinska Institutet

  • Author: Jungebluth, Philipp

    Karolinska Institutet, Sweden

  • Author: Macchiarini, Paolo

    Karolinska Institutet, Sweden

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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.
Original languageEnglish
JournalJournal of Mathematical Biology
Issue number4
Pages (from-to)785-813
Publication statusPublished - 2014
Externally publishedYes
CitationsWeb of Science® Times Cited: No match on DOI

    Research areas

  • Agricultural and Biological Sciences (miscellaneous), Applied Mathematics, Modeling and Simulation, Biomaterials, Cell culture, Integro-partial differential equations, Mathematical modelling, Tissue engineering, Animals, Cell Adhesion, Cell Proliferation, Mesenchymal Stromal Cells, Models, Biological, Numerical Analysis, Computer-Assisted, Rats, biomaterial, cell growth, cell proliferation, collagen-coated polyethylene terephthalate electrospun fiber, 02502, Cytology - General, 04500, Mathematical biology and statistical methods, 10511, Biophysics - Bioengineering, 10515, Biophysics - Biocybernetics, Computational Biology, biological cell attachment modelling mathematical and computer techniques, one-dimensional model mathematical and computer techniques, tissue engineering laboratory techniques, culturing techniques, Cell Biology, Models and Simulations, BIOLOGY, MATHEMATICAL, MESENCHYMAL STEM-CELLS, IN-VITRO, MATHEMATICAL-MODEL, EXTRACELLULAR-MATRIX, POROUS SCAFFOLDS, BONE-MARROW, ADHESION, PROLIFERATION, TISSUE, KINETICS, MATHEMATICAL models, HASH(0x42d6340), 92B05, 45K05

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