A dynamic numerical method for models of renal tubules.

Journal Article

We show that an explicit method for solving hyperbolic partial differential equations can be applied to a model of a renal tubule to obtain both dynamic and steady-state solutions. Appropriate implementation of this method eliminates numerical instability arising from reversal of intratubular flow direction. To obtain second-order convergence in space and time, we employ the recently developed ENO (Essentially Non-Oscillatory) methodology. We present examples of computed flows and concentration profiles in representative model contexts. Finally, we indicate briefly how model tubules may be coupled to construct large-scale simulations of the renal counterflow system.

Full Text

Duke Authors

Cited Authors

  • Layton, HE; Pitman, EB

Published Date

  • May 1994

Published In

Volume / Issue

  • 56 / 3

Start / End Page

  • 547 - 565

PubMed ID

  • 8087081

Pubmed Central ID

  • 8087081

Electronic International Standard Serial Number (EISSN)

  • 1522-9602

International Standard Serial Number (ISSN)

  • 0092-8240

Digital Object Identifier (DOI)

  • 10.1007/bf02460470


  • eng