Shell Balance Approach for One-Dimensional Biofluid Transport

Chapter

Abstract

In the previous chapter, we took a macroscopic view for solving transport problems. The macroscopic approach is sufficient if you are interested in how the average transport variables change with time in a system. However, if you also want to know how transport properties such as mass, concentration, charge, velocity, or temperature vary with position (x, y, z), then it is necessary to use a microscopic approach. This allows the system of interest to shrink to an infinitesimally small volume surrounding an arbitrary point within the larger system.

Keywords

Catheter Filtration Convection Albumin Torque 

References

  1. Abramowitz M, Stegun IA (1972) Handbook of mathematical functions with formulas, graphs, and mathematical tables. U.S. Department of Commerce, National Bureau of Standards, Applied Mathematics Series, 55Google Scholar
  2. Anderson JL, Malone DM (1974) Mechanism of osmotic flow in porous membranes. Biophys J 14:957–982PubMedCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Dept. Biomedical EngineeringVanderbilt UniversityNashvilleUSA
  2. 2.Dept. Biomedical EngineeringUniversity of Texas, AustinAustinUSA

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