Optimal control problems in gene network dynamics and the methods for solving them

被引：0

作者：

Kolchanov, N.A. ^{[1
]}

Latypov, A.F. ^{[1
]}

Likhoshvaj, V.A. ^{[1
]}

Matushkin, Yu.G. ^{[1
]}

Nikulichev, Yu.V. ^{[1
]}

Ratushnyj, A.V. ^{[1
]}

机构：

[1] Inst. of Theor. Appl. Mech., SO RAS, Novosibirsk, Russia

来源：

Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya | 2004年 / 06期

关键词：

Biology - DNA - Gene transfer - Genes - Optimal systems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The malfunctions of gene networks due to genetic mutations often cause pathologies in the organism. Optimal actions on a gene network can restore its normal operation. In order to find such actions, it is necessary to develop methods of dynamic control of gene networks. In this work, the statements of the problems of optimal control of gene networks and the problem of control in the space of steady-state states and the methods for solving them are presented. A variant of solving such problems is given using a simplified model of cholesterol biosynthesis as an example.

引用

页码：36 / 45

共 50 条

[1] Optimal control problems in gene network dynamics and the methods for solving them
Kolchanov, NA
Latypov, AF
Likhoshvai, VA
Matushkin, YG
Nikulichev, YV
Ratushnyi, AV
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2004, 43 (06) : 862 - 871
[2] INVESTIGATION OF OPTIMAL CONTROL PROBLEMS AND SOLVING THEM USING BEZIER POLYNOMIALS
Yari, A. A.
Mirnia, M. K.
Lakestani, M.
APPLIED AND COMPUTATIONAL MATHEMATICS, 2017, 16 (02) : 133 - 147
[3] Approximation methods for solving fractional optimal control problems
Samaneh Soradi Zeid
Sohrab Effati
Ali Vahidian Kamyad
Computational and Applied Mathematics, 2018, 37 : 158 - 182
[4] Numerical methods for solving applied optimal control problems
A. Yu. Gornov
A. I. Tyatyushkin
E. A. Finkelstein
Computational Mathematics and Mathematical Physics, 2013, 53 : 1825 - 1838
[5] Pseudospectral knotting methods for solving optimal control problems
Ross, IM
Fahroo, F
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2004, 27 (03) : 397 - 405
[6] NUMERICAL METHODS FOR SOLVING OPTIMAL CONTROL FOR STEFAN PROBLEMS
Nekrasov, S. A.
Volkov, V. S.
VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA, 2016, 12 (02): : 87 - 100
[7] Numerical methods for solving terminal optimal control problems
Gornov, A. Yu.
Tyatyushkin, A. I.
Finkelstein, E. A.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (02) : 221 - 234
[8] COMPARISON OF NUMERICAL METHODS FOR SOLVING OPTIMAL CONTROL PROBLEMS
SPINGARN, K
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1971, AES7 (01) : 73 - &
[9] Approximation methods for solving fractional optimal control problems
Zeid, Samaneh Soradi
Effati, Sohrab
Kamyad, Ali Vahidian
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 : 158 - 182
[10] Numerical methods for solving terminal optimal control problems
A. Yu. Gornov
A. I. Tyatyushkin
E. A. Finkelstein
Computational Mathematics and Mathematical Physics, 2016, 56 : 221 - 234

← 1 2 3 4 5 →