An analysis of a mathematical model of trophoblast invasion

H. M. Byrne; M. A. J. Chaplain; G. J. Pettet; D. L. S. McElwain

doi:10.1016/S0893-9659(01)00079-9

An analysis of a mathematical model of trophoblast invasion

H. M. Byrne, M. A. J. Chaplain, G. J. Pettet, D. L. S. McElwain

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1005-1010
Number of pages	6
Journal	Applied Mathematics Letters
Volume	14
Issue number	8
DOIs	https://doi.org/10.1016/S0893-9659(01)00079-9
Publication status	Published - 2001

Keywords

Placental development
Trophoblast invasion
Mathematical modelling

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10.1016/S0893-9659(01)00079-9

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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.",

keywords = "Placental development, Trophoblast invasion, Mathematical modelling",

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AB - 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.

KW - Placental development

KW - Trophoblast invasion

KW - Mathematical modelling

U2 - 10.1016/S0893-9659(01)00079-9

DO - 10.1016/S0893-9659(01)00079-9

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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An analysis of a mathematical model of trophoblast invasion

Abstract

Keywords

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