A mathematical model of intervillous blood flow in the human placentone.

Abstract:

:We present a mathematical model for maternal blood flow in a placental circulatory unit (a placentone), describing flow of maternal blood via Darcy's law and steady advective transport of a dissolved nutrient. The method of images and computational integration along streamlines are employed to find flow and solute concentration distributions, which are illustrated for a range of governing system parameters. The model shows how the calibre of the basal vessels can be a dominant determinant of the maternal blood flow rate through the placentone, given a driving pressure difference between the spiral arteries and decidual veins. The model supports the hypothesis that basal veins are located on the periphery of the placentone in order to optimise delivery of nutrients and suggests the existence of an optimal volume fraction of villous tissue.

journal_name

Placenta

journal_title

Placenta

authors

Chernyavsky IL,Jensen OE,Leach L

doi

10.1016/j.placenta.2009.11.003

subject

Has Abstract

pub_date

2010-01-01 00:00:00

pages

44-52

issue

1

eissn

0143-4004

issn

1532-3102

pii

S0143-4004(09)00347-6

journal_volume

31

pub_type

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