Non linear modeling of the carrier mediated transport across the biological membrane

Author

Hirayama, H. ; Okita, Y. ; Nishimura, T.

Author_Institution

Dept. of Public Health, Asahikawa Med. Coll., Japan

Volume

2

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

389

Abstract

A mathematical method was introduced to analyze the optimally controlled carrier mediated material transport across the biological membrane. The rate constants were set as functions of concentrations of the species. Thus, the transfer rates of ligands changed as the transport state proceeded. The optimal control that minimized the deviations from the target concentrations of the species produced characteristic pattern of temporal changes in the concentrations of the species. The present method will be useful for evaluating the biological and artificial membrane functions

Keywords

biomembrane transport; mathematical analysis; optimal control; artificial membrane; biological membrane; concentrations; ligand transfer rates; nonlinear modeling; optimally controlled carrier mediated material transport; rate constants; target concentrations; temporal concentration changes; Biological control systems; Biological system modeling; Biomembranes; Educational institutions; Equations; Mathematical model; Optimal control; Postal services; Public healthcare; Tellurium;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on

Conference_Location

Tokyo

ISSN

1062-922X

Print_ISBN

0-7803-5731-0

Type

conf

DOI

10.1109/ICSMC.1999.825290

Filename

825290