Math @ Duke

Publications [#9659] of Mariano MarcanoVelázquez
Papers Published
 R. P. Tewarson, W. Toro, and M. Marcano, Preferential interaction andinverse problem algorithms in models of renal concentrating mechanism,
Appl. Math. Letters, vol. 11, (1998), pp. 5159
(last updated on 2000/08/28)
Abstract: Formulas for transmural transport parameters between two
adjacent interacting tubes are derived. Results of
computational experiments with a mathematical model of the
kidney are given. These results show; that only four of
optimal parameters, obtained by an inverse algorithm, need
to be different from experimental values, to get fairly good
concentration profiles. Preferential interaction is shown to
result in further improvement to these profiles.


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