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
Placentajournal_title
Placentaauthors
Chernyavsky IL,Jensen OE,Leach Ldoi
10.1016/j.placenta.2009.11.003subject
Has Abstractpub_date
2010-01-01 00:00:00pages
44-52issue
1eissn
0143-4004issn
1532-3102pii
S0143-4004(09)00347-6journal_volume
31pub_type
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