Women's Health Collection

Journal article

An analysis of a mathematical model of trophoblast invasion

Abstract:: We present a mathematical model that describes the initial stages of placental development during which trophoblast cells begin to invade the uterine tissue. We then carry out a mathematical analysis of a simpler submodel that describes the final stages of normal embryo implantation and suggests that as the timescale of interest increases, the dominant migratory mechanism of the trophoblasts switches from chemotaxis to nonlinear random motion.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Byrne, H., Chaplain, M. A. J., Pettet, G., & McElwain, D. (2001). An analysis of a mathematical model of trophoblast invasion. Applied Mathematics Letters, 14(8), 1005–1010.

MLA Style

Byrne, H, et al. “An Analysis of a Mathematical Model of Trophoblast Invasion.” Applied Mathematics Letters, vol. 14, no. 8, 2001, pp. 1005–10.

Chicago Style

Byrne, H, MAJ Chaplain, G Pettet, and D McElwain. 2001. “An Analysis of a Mathematical Model of Trophoblast Invasion.” Applied Mathematics Letters 14 (8): 1005–10.
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Files:: An analysis of a mathematical model of trophoblast invasion.pdf

(Preview, Version of record, pdf, 466.2KB, Terms of use)

Publisher copy:: 10.1016/S0893-9659(01)00079-9

Authors

+ Byrne, H More by this author

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

+ Chaplain, MAJ More by this author

Role:: Author

+ Pettet, G More by this author

Role:: Author

+ McElwain, D More by this author

Role:: Author

Publisher:: Elsevier
Journal:: Applied Mathematics Letters More from this journal
Volume:: 14
Issue:: 8
Pages:: 1005-1010
Publication date:: 2001-11-01
DOI:: 10.1016/S0893-9659(01)00079-9
ISSN:: 0893-9659

Keywords:: placental development

mathematical model

trophoblast invasion
Pubs id:: pubs:319140
UUID:: uuid:c435f051-5e24-4505-a910-a7b8de4afa4c
Local pid:: pubs:319140
Source identifiers:: 319140
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_c435f0515e244505a910a7b8de4afa4c

Terms of use

Copyright holder:: Elsevier Science Ltd
Copyright date:: 2001
Notes:: Copyright © 2001 Elsevier Science Ltd. Under an Elsevier user license.

Licence:: Other

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