Presentation 1999/7/23
Non Linear Optimal Control of Biomolecular Transport Across the Biological Membrane.
H. Hirayama, N. Kitagawa,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) A mathematical method was introduced to analyze the optimally controlled carrier mediated material transport across the bioiogical membrane. The rate constants for the reactions between the ligand and carrier were set as exponential functions of concentrations of the species. Thus, the transfer rates of ligands were not constant but charged as the transport state proceeded. The interactions between the free carrier and its bounded type on both of the outer and inner surface of the membrane were expressed by four non linear differential equations. 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. As the time passed, the concentrations of the species achieved evident plateau and reached the target values. The present method will be available for evaluating the biological and artificial membrane functions.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Non linear / Membrane transport / Carrier / Rate constant / Optimal control
Paper # NLP99-67
Date of Issue

Conference Information
Committee NLP
Conference Date 1999/7/23(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Non Linear Optimal Control of Biomolecular Transport Across the Biological Membrane.
Sub Title (in English)
Keyword(1) Non linear
Keyword(2) Membrane transport
Keyword(3) Carrier
Keyword(4) Rate constant
Keyword(5) Optimal control
1st Author's Name H. Hirayama
1st Author's Affiliation Dept. of Public Health Asahikawa Medical College()
2nd Author's Name N. Kitagawa
2nd Author's Affiliation Dept. of Public Health Asahikawa Medical College
Date 1999/7/23
Paper # NLP99-67
Volume (vol) vol.99
Number (no) 205
Page pp.pp.-
#Pages 8
Date of Issue