Controllability analysis of networks

被引：101

作者：

Lombardi, Anna ^{[1
]}

Hornquist, Michael ^{[1
]}

机构：

[1] Linkoping Univ, Dept Sci & Technol, SE-60174 Norrkoping, Sweden

来源：

PHYSICAL REVIEW E | 2007年 / 75卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.75.056110

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The concept of controllability of linear systems from control theory is applied to networks inspired by biology. A node is in this context controllable if an external signal can be applied which can adjust the level (e.g., protein concentration) of the node in a finite time to an arbitrary value, regardless of the levels of the other nodes. The property of being downstream of the node to which the input is applied turns out to be a necessary but not a sufficient condition for being controllable. An interpretation of the controllability matrix, when applied to networks, is also given. Finally, two case studies are provided in order to better explain the concepts, as well as some results for a gene regulatory network of fission yeast.

引用

页数：5

共 10 条

[1]

Alberts B., 2002, Molecular Biology of The Cell, V4th

[2] Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feed back systems [J].

Angeli, D ;

Ferrell, JE ;

Sontag, ED .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2004, 101 (07) :1822-1827

[3] Network biology:: Understanding the cell's functional organization [J].

Barabási, AL ;

Oltvai, ZN .

NATURE REVIEWS GENETICS, 2004, 5 (02) :101-U15

[4] Dynamics of gene regulatory networks with cell division cycle [J].

Chen, LN ;

Wang, RQ ;

Kobayashi, TJ ;

Aihara, K .

PHYSICAL REVIEW E, 2004, 70 (01) :13

[5] Modeling Complex Cellular Networks -: robust switching in the cell cycle ensures a piecewise linear reduction of the regulatory network [J].

Eriksson, O ;

Zhou, YS ;

Tegnér, J .

2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, :117-123

[6] Network growth models and genetic regulatory networks [J].

Foster, DV ;

Kauffman, SA ;

Socolar, JES .

PHYSICAL REVIEW E, 2006, 73 (03) :1-8

[7]

Kailath T., 1980, LINEAR SYSTEMS

[8] Genomic analysis of regulatory network dynamics reveals large topological changes [J].

Luscombe, NM ;

Babu, MM ;

Yu, HY ;

Snyder, M ;

Teichmann, SA ;

Gerstein, M .

NATURE, 2004, 431 (7006) :308-312

[9] Mathematical model of the cell division cycle of fission yeast [J].

Novak, B ;

Pataki, Z ;

Ciliberto, A ;

Tyson, JJ .

CHAOS, 2001, 11 (01) :277-286

[10]

Rugh W. J., 1996, LINEAR SYSTEM THEORY

← 1 →