Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Numerical Algorithm using Compartment Model Analysis for Estimating Permeability in Renal Tissue(Practice,Scientific Computation and Numerical Analysis,<Special Issue> "Joint Symposium of JSIAM Activity Groups 2006")
Youhei NanazawaHiroshi SuitoTakuya UedaManabu Minami
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2006 Volume 16 Issue 4 Pages 435-452

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Abstract
Permeability is valuable information for tumor-tissue diagnosis. In this study, permeability is estimated using Compartment Model Analysis from the concentration of contrast media obtained by computed tomography examination of renal cell cancer. The expression for concentration of the contrast media obtained using the Compartment Model Analysis is a first-order linear ordinary differential equation. Permeability is determined by minimizing the difference between values obtained from measurements and values obtained as the solution of the expression. The Broyden-Fletcher-Golefarb-Shanno quasi-Newton method and a genetic algorithm with distance-independent diversity control are used for minimization.
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© 2006 The Japan Society for Industrial and Applied Mathematics
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