Journal article

A mathematical model for cell infiltration and proliferation in a chondral defect

Abstract:: We develop a mathematical model to describe the regeneration of a hydrogel inserted into an ex vivo osteochondral explant. Specifically we use partial differential equations to describe the evolution of two populations of cells that migrate from the tissue surrounding the defect, proliferate, and compete for space and resources within the hydrogel. The two cell populations are chondrocytes and cells that infiltrate from the subchondral bone. Model simulations are used to investigate how different seeding strategies and growth factor placement within the hydrogel affect the spatial distribution of both cell types. Since chondrocyte migration is extremely slow, we conclude that the hydrogel should be seeded with chondrocytes prior to culture in order to obtain zonal chondrocyte distributions typical of those associated with healthy cartilage.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Kimpton, L., Schwab, A., Ehlicke, F., Waters, S., Please, C., Whiteley, J., & Byrne, H. (2017). A mathematical model for cell infiltration and proliferation in a chondral defect. Mathematical Biosciences, 292, 46–56.

MLA Style

Kimpton, L, et al. “A Mathematical Model for Cell Infiltration and Proliferation in a Chondral Defect.” Mathematical Biosciences, vol. 292, 2017, pp. 46–56.

Chicago Style

Kimpton, L, A Schwab, F Ehlicke, et al. 2017. “A Mathematical Model for Cell Infiltration and Proliferation in a Chondral Defect.” Mathematical Biosciences 292: 46–56.
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Files:: MathBiosci_R1.pdf

(Preview, Accepted manuscript, pdf, 15.1MB, Terms of use)

Publisher copy:: 10.1016/j.mbs.2017.07.008

Authors

+ Kimpton, L More by this author

Role:: Author

+ Schwab, A More by this author

Role:: Author

+ Ehlicke, F More by this author

Role:: Author

+ Waters, S More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Please, C More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

More authors...

+ European Union More from this funder

Grant:: Seventh Framework Programme (FP7/2007-2013) under grant agreement no. 309962 (HydroZONES

Publisher:: Elsevier
Journal:: Mathematical Biosciences More from this journal
Volume:: 292
Pages:: 46-56
Publication date:: 2017-07-21
Acceptance date:: 2017-07-18
DOI:: 10.1016/j.mbs.2017.07.008
ISSN:: 0025-5564

Keywords:: tissue engineering

hydrogel

osteochondral

cartilage
Pubs id:: pubs:708454
UUID:: uuid:2cb8d0f9-138d-4f42-b34c-52af76ce7a1b
Local pid:: pubs:708454
Source identifiers:: 708454
Deposit date:: 2017-07-18
ARK identifier:: ark:/29072/ora_2cb8d0f9138d4f42b34c52af76ce7a1b

Terms of use

Copyright holder:: Elsevier Inc
Copyright date:: 2017
Notes:: Copyright © 2017 Elsevier Inc. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.mbs.2017.07.008

Licence:: CC Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND)

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