Transport Across Tubular Epithelia

  • Anita T. Layton
  • Aurélie Edwards
Part of the Lecture Notes on Mathematical Modelling in the Life Sciences book series (LMML)


The kidney regulates the composition of the final urine by modulating the reabsorption and secretion of water and solutes across the specialized epithelium of each nephron segment. This chapter begins with an overview of epithelial barriers, including their permeability properties and main classes of transporters. We then derive the conservation and flux equations that are needed to represent the dynamic exchange of water and solutes across tubular epithelia. Lastly, we describe how to formulate a complete, cell-based model of transport across renal tubules.


Tight Junction Tubular Epithelium Paracellular Pathway Solute Flux Tubular Lumen 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Anita T. Layton
    • 1
  • Aurélie Edwards
    • 2
  1. 1.Department of MathematicsDuke UniversityDurhamUSA
  2. 2.Centre de Recherche des Cordeliers ERL 8228, UMRS 1138 Equipe 3ParisFrance

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