IJPAM: Volume 56, No. 1 (2009)


Masaharu Nakashima
Department of Integrated Art and Science
Daiichi University
1-10-2, Kirishima City, Kokubu, 899-4395, JAPAN
e-mail: [email protected]

Abstract.The purpose of this paper is to present efficient algorithm for estimation of parameter in real tissue. Some equation of liver-perfusion image are proposed. C. Narazawa et al [5] derive mathematical modeling from compartment model and present the perfusion pattern well. They [5] also studied some algorithms for estimating the permeability in real tissue by using the optimization. In this paper, we will analysis the equation of estimation in real tissue and present algebraic algorithms for estimation of parameter in real tissue. The numerical tests justifying the results are presented.

Received: August 25, 2009

AMS Subject Classification: 41A27, 65L09, 65D30

Key Words and Phrases: permeability, liver perfusion, compartmental model, mathematical modeling, numerical methods, Newton-Raphson method, inverse problem

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 56
Issue: 1