NDLI: Modeling of Active Transmembrane Transport in a Mixture Theory Framework

Content Provider	Springer Nature Link
Author	Ateshian, Gerard A. Morrison, Barclay Hung, Clark T.
Copyright Year	2010
Abstract	This study formulates governing equations for active transport across semi-permeable membranes within the framework of the theory of mixtures. In mixture theory, which models the interactions of any number of fluid and solid constituents, a supply term appears in the conservation of linear momentum to describe momentum exchanges among the constituents. In past applications, this momentum supply was used to model frictional interactions only, thereby describing passive transport processes. In this study, it is shown that active transport processes, which impart momentum to solutes or solvent, may also be incorporated in this term. By projecting the equation of conservation of linear momentum along the normal to the membrane, a jump condition is formulated for the mechano-electrochemical potential of fluid constituents which is generally applicable to nonequilibrium processes involving active transport. The resulting relations are simple and easy to use, and address an important need in the membrane transport literature.
Starting Page	1801
Ending Page	1814
Page Count	14
File Format	PDF
ISSN	00906964
Journal	Annals of Biomedical Engineering
Volume Number	38
Issue Number	5
e-ISSN	15739686
Language	English
Publisher	Springer US
Publisher Date	2010-03-06
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Membrane pumps Membrane cotransporters Membrane potential Momentum supply Free energy Mechano-electrochemical potential Biochemistry Mechanics Biophysics and Biological Physics Biomedical Engineering Biomedicine general
Content Type	Text
Resource Type	Article
Subject	Biomedical Engineering

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