THE KIDNEY MODEL AS AN INVERSE PROBLEM

BREINBAUER, M and LORY, P (1991) THE KIDNEY MODEL AS AN INVERSE PROBLEM. APPLIED MATHEMATICS AND COMPUTATION, 44 (3). pp. 195-223. ISSN 0096-3003,

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Abstract

The mammalian kidney is modeled by a multipoint boundary-value problem for a system of nonlinear ordinary differential equations. A corresponding inverse problem is presented, which allows the rigorous judgement of the potential of the given modeling technique. For its numerical solution a discretization is proposed, which is tailor-made for kidney models. It leads to a nonlinear-programming problem with nonlinear equality and inequality constraints. The suggested methods are applied to current research problems in renal physiology.

Item Type:	Article
Uncontrolled Keywords:	RENAL COUNTERFLOW SYSTEM; BOUNDARY-VALUE PROBLEMS; CENTRAL CORE MODEL; COUNTERCURRENT SYSTEM; OSMOTIC GRADIENTS; SODIUM-CHLORIDE; WATER TRANSPORT; ASCENDING LIMB; MEDULLA; HENLE;
Depositing User:	Dr. Gernot Deinzer
Last Modified:	19 Oct 2022 08:46
URI:	https://pred.uni-regensburg.de/id/eprint/54921

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