Modelling biological cell attachment and growth on adherent surfaces

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

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Modelling biological cell attachment and growth on adherent surfaces. / Lemon, Greg; Gustafsson, Ylva; Haag, Johannes C.; Lim, Mei L.; Sjoqvist, Sebastian; Ajalloueian, Fatemeh; Jungebluth, Philipp; Macchiarini, Paolo.

In: Journal of Mathematical Biology, Vol. 68, No. 4, 2014, p. 785-813.

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

Harvard

Lemon, G, Gustafsson, Y, Haag, JC, Lim, ML, Sjoqvist, S, Ajalloueian, F, Jungebluth, P & Macchiarini, P 2014, 'Modelling biological cell attachment and growth on adherent surfaces', Journal of Mathematical Biology, vol. 68, no. 4, pp. 785-813. https://doi.org/10.1007/s00285-013-0653-y

APA

Lemon, G., Gustafsson, Y., Haag, J. C., Lim, M. L., Sjoqvist, S., Ajalloueian, F., ... Macchiarini, P. (2014). Modelling biological cell attachment and growth on adherent surfaces. Journal of Mathematical Biology, 68(4), 785-813. https://doi.org/10.1007/s00285-013-0653-y

CBE

Lemon G, Gustafsson Y, Haag JC, Lim ML, Sjoqvist S, Ajalloueian F, Jungebluth P, Macchiarini P. 2014. Modelling biological cell attachment and growth on adherent surfaces. Journal of Mathematical Biology. 68(4):785-813. https://doi.org/10.1007/s00285-013-0653-y

MLA

Vancouver

Author

Lemon, Greg ; Gustafsson, Ylva ; Haag, Johannes C. ; Lim, Mei L. ; Sjoqvist, Sebastian ; Ajalloueian, Fatemeh ; Jungebluth, Philipp ; Macchiarini, Paolo. / Modelling biological cell attachment and growth on adherent surfaces. In: Journal of Mathematical Biology. 2014 ; Vol. 68, No. 4. pp. 785-813.

Bibtex

@article{f6515314e48d4ff3b6435ac022f66ba8,
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.",
keywords = "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",
author = "Greg Lemon and Ylva Gustafsson and Haag, {Johannes C.} and Lim, {Mei L.} and Sebastian Sjoqvist and Fatemeh Ajalloueian and Philipp Jungebluth and Paolo Macchiarini",
year = "2014",
doi = "10.1007/s00285-013-0653-y",
language = "English",
volume = "68",
pages = "785--813",
journal = "Journal of Mathematical Biology",
issn = "0303-6812",
publisher = "Springer",
number = "4",

}

RIS

TY - JOUR

T1 - Modelling biological cell attachment and growth on adherent surfaces

AU - Lemon, Greg

AU - Gustafsson, Ylva

AU - Haag, Johannes C.

AU - Lim, Mei L.

AU - Sjoqvist, Sebastian

AU - Ajalloueian, Fatemeh

AU - Jungebluth, Philipp

AU - Macchiarini, Paolo

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Agricultural and Biological Sciences (miscellaneous)

KW - Applied Mathematics

KW - Modeling and Simulation

KW - Biomaterials

KW - Cell culture

KW - Integro-partial differential equations

KW - Mathematical modelling

KW - Tissue engineering

KW - Animals

KW - Cell Adhesion

KW - Cell Proliferation

KW - Mesenchymal Stromal Cells

KW - Models, Biological

KW - Numerical Analysis, Computer-Assisted

KW - Rats

KW - biomaterial

KW - cell growth

KW - cell proliferation

KW - collagen-coated polyethylene terephthalate electrospun fiber

KW - 02502, Cytology - General

KW - 04500, Mathematical biology and statistical methods

KW - 10511, Biophysics - Bioengineering

KW - 10515, Biophysics - Biocybernetics

KW - Computational Biology

KW - biological cell attachment modelling mathematical and computer techniques

KW - one-dimensional model mathematical and computer techniques

KW - tissue engineering laboratory techniques, culturing techniques

KW - Cell Biology

KW - Models and Simulations

KW - BIOLOGY

KW - MATHEMATICAL

KW - MESENCHYMAL STEM-CELLS

KW - IN-VITRO

KW - MATHEMATICAL-MODEL

KW - EXTRACELLULAR-MATRIX

KW - POROUS SCAFFOLDS

KW - BONE-MARROW

KW - ADHESION

KW - PROLIFERATION

KW - TISSUE

KW - KINETICS

KW - MATHEMATICAL models

KW - HASH(0x42d6340)

KW - 92B05

KW - 45K05

U2 - 10.1007/s00285-013-0653-y

DO - 10.1007/s00285-013-0653-y

M3 - Journal article

VL - 68

SP - 785

EP - 813

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

SN - 0303-6812

IS - 4

ER -