NDLI: Mathematical analysis of mammary ducts in lactating human breast

Content Provider	IEEE Xplore Digital Library
Author	Mortazavi, S.N. Geddes, D. Hassiotou, F. Hassanipour, F.
Copyright Year	2014
Description	Author affiliation: Sch. of Chem. & Biochem., Univ. of Western Australia, Crawley, WA, Australia (Geddes, D.; Hassiotou, F.) \|\| Mech. Eng. Dept., Univ. of Texas at Dallas, Richardson, TX, USA (Mortazavi, S.N.; Hassanipour, F.)
Abstract	This work studies a simple model for milk transport through lactating human breast ducts, and describes mathematically the mass transfer from alveolar sacs through the mammary ducts to the nipple. In this model both the phenomena of diffusion in the sacs and conventional flow in ducts have been considered. The ensuing analysis reveals that there is an optimal range of bifurcation numbers leading to the easiest milk flow based on the minimum flow resistance. This model formulates certain difficult-to-measure values like diameter of the alveolar sacs, and the total length of the milk path as a function of easy-to-measure properties such as milk fluid properties and macroscopic measurements of the breast. Alveolar dimensions from breast tissues of six lactating women are measured and reported in this paper. The theoretically calculated alveoli diameters for optimum milk flow (as a function of bifurcation numbers) show excellent match with our biological data on alveolar dimensions. Also, the mathematical model indicates that for minimum milk flow resistance the glandular tissue must be within a short distance from the base of the nipple, an observation that matches well with the latest anatomical and physiological research.
Sponsorship	IEEE Eng. Med. Biol. Soc.
Starting Page	5687
Ending Page	5690
File Size	1189994
Page Count	4
File Format	PDF
ISBN	9781424479290
ISSN	1557170X
DOI	10.1109/EMBC.2014.6944918
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-08-26
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Dairy products Ducts Breast Mathematical model Immune system Resistance Bifurcation
Content Type	Text
Resource Type	Article
Subject	Signal Processing Biomedical Engineering Health Informatics Computer Vision and Pattern Recognition

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