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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
Version:
Publisher's version

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

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Chaplain, MAJ More by this author
Pettet, GJ More by this author
McElwain, DLS More by this author
Publisher:
Elsevier Publisher's website
Journal:
Applied Mathematics Letters Journal website
Volume:
14
Issue:
8
Pages:
1005-1010
Publication date:
2001-11-05
DOI:
ISSN:
0893-9659
URN:
uuid:c435f051-5e24-4505-a910-a7b8de4afa4c
Source identifiers:
319140
Local pid:
pubs:319140

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