NDLI: Modelling biological cell attachment and growth on adherent surfaces

Content Provider	Springer Nature Link
Author	Haag, Johannes C. Lim, Mei L. Jungebluth, Philipp Ajalloueian, Fatemeh Lemon, Greg Sjöqvist, Sebastian Macchiarini, Paolo Gustafsson, Ylva
Copyright Year	2013
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.
Ending Page	813
Page Count	29
Starting Page	785
File Format	PDF
ISSN	03036812
e-ISSN	14321416
Journal	Journal of Mathematical Biology
Issue Number	4
Volume Number	68
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-02-15
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cell culture General biology and biomathematics Tissue engineering Mathematical and Computational Biology Mathematical modelling Applications of Mathematics Biomaterials Integro-partial differential equations
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Agricultural and Biological Sciences Modeling and Simulation

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