コンパートメントアナリシスのためのプログラムパッケージVACSの開発に関する研究

抄録

This paper deals with the program package for compartmental analysis called VACS(Versatile Analyser for Compartmental Systems). A compartmental system has been widely used as a mathematical model for studying the dynamical behavior of systems in biology, medicine and ecology. This package VACS has the following functions in addition to the usual system identification: the examination of structural identifiability, realizability and reachability and the calculation of the optimal control sequence. Reflecting physical constraints in itself, a compartmental system has such a property that the state is always nonnegative for any nonnegative input. These constraints make the examinations on structural identifiability, relaizability and reachability fundamental in order to confirm the varidity of a mathematical model and an experimental design used for a compartmental analysis. These problems have not been solved for general compartmental systems yet, therefore systems must be examined one by one using numerical procedure. VACS, which has the functions for these examinations, will be useful for compartmental analysis.