A dynamic numerical method for models of renal tubules
| Autor: | H. E. Layton, E. Bruce Pitman |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Pharmacology
Cell Membrane Permeability General Mathematics General Neuroscience Immunology Models Biological General Biochemistry Genetics and Molecular Biology Calculi Diuresis Kidney Tubules Computational Theory and Mathematics Body Water Computer Simulation General Agricultural and Biological Sciences Rheology General Environmental Science |
| Zdroj: | Bulletin of mathematical biology. 56(3) |
| ISSN: | 0092-8240 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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