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Computational techniques for inverse problems in kidney modeling

Title
Computational techniques for inverse problems in kidney modeling
Authors
Kim S.Tewarson R.P.
Ewha Authors
김선영
SCOPUS Author ID
김선영scopus
Issue Date
1996
Journal Title
Applied Mathematics Letters
ISSN
0893-9659JCR Link
Citation
vol. 9, no. 3, pp. 77 - 81
Indexed
SCI; SCIE; SCOPUS scopus
Abstract
In order to understand the concentrating mechanism of the mammalian kidneys, it is necessary to study the relationship between the parameter vector h (permeabilities of water and solutes) and the corresponding vector of concentration profiles V. We consider the inverse problem: determine h from a given V. This problem is ill-posed. Therefore, the regularization methods must be used to circumvent the ill-conditioning. We show how the Levenberg-Tikhonov-Marquard method with the Sobolev norm can be used to handle the inverse problem.
DOI
10.1016/0893-9659(96)00036-5
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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