NUMERICAL-SIMULATION OF PROPAGATING CONCENTRATION PROFILES IN RENAL TUBULES

Authors
PITMAN EB LAYTON HE MOORE LC
Citation
Eb. Pitman et al., NUMERICAL-SIMULATION OF PROPAGATING CONCENTRATION PROFILES IN RENAL TUBULES, Bulletin of mathematical biology, 56(3), 1994, pp. 567-586
Citations number
14
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
Journal title
Bulletin of mathematical biology → ACNP
ISSN journal
00928240
Volume
56
Issue
3
Year of publication
1994
Pages
567 - 586
Database
ISI
SICI code
0092-8240(1994)56:3<567:NOPCPI>2.0.ZU;2-7
Abstract
Method-dependent mechanisms that may affect dynamic numerical solution s of a hyperbolic partial differential equation that models concentrat ion profiles in renal tubules are described. Some numerical methods th at have been applied to the equation are summarized, and ways by which the methods may misrepresent true solutions are analysed. Comparison of these methods demonstrates the need for thoughtful application of c omputational mathematics when simulating complicated time-dependent ph enomena.