Computational techniques for inverse problems in kidney modeling

S. Kim, R. P. Tewarson

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish
Pages (from-to)77-81
Number of pages5
JournalApplied Mathematics Letters
Issue number3
StatePublished - May 1996

Bibliographical note

Funding Information:
by Korean Ministry of Education, BSRI-95-1430 and Ewha Women’s University, 1994-3. by NSF Grant DMS921664 and NIH Grant DK1759314. Author to whom all correspondence


  • Ill-conditioning
  • Kidney models
  • Numerical methods
  • Regularization


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