Revealing networks from dynamics: an introduction

被引：156

作者：

Timme, Marc ^{[1
,2
,3
]}

Casadiego, Jose ^{[1
]}

机构：

[1] Max Planck Inst Dynam & Self Org MPIDS, Network Dynam, D-37077 Gottingen, Germany

[2] Bernstein Ctr Computat Neurosci BCCN Gottingen, D-37077 Gottingen, Germany

[3] Univ Gottingen, Inst Nonlinear Dynam, Fac Phys, D-37077 Gottingen, Germany

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 34期

关键词：

network reconstruction; network dynamics; network inference; structural connectivity; functional connectivity; effective connectivity; network topology; complex networks; synchrony; ENGINEERING GENE NETWORKS; NEURAL-NETWORKS; PERTURBATIONS; CONNECTIVITY; PREDICTION; TOPOLOGY; DESIGN; MODEL;

D O I：

10.1088/1751-8113/47/34/343001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

What can we learn from the collective dynamics of a complex network about its interaction topology? Taking the perspective from nonlinear dynamics, we briefly review recent progress on how to infer structural connectivity (direct interactions) from accessing the dynamics of the units. Potential applications range from interaction networks in physics, to chemical and metabolic reactions, protein and gene regulatory networks as well as neural circuits in biology and electric power grids or wireless sensor networks in engineering. Moreover, we briefly mention some standard ways of inferring effective or functional connectivity.

引用

页数：36

共 98 条

[31] Gene regulatory network inference: Data integration in dynamic models-A review [J].

Hecker, Michael ;

Lambeck, Sandro ;

Toepfer, Susanne ;

van Someren, Eugene ;

Guthke, Reinhard .

BIOSYSTEMS, 2009, 96 (01) :86-103

[32] Small-world topology of functional connectivity in randomly connected dynamical systems [J].

Hlinka, J. ;

Hartman, D. ;

Palus, M. .

CHAOS, 2012, 22 (03)

[33] The elusive concept of brain connectivity [J].

Horwitz, B .

NEUROIMAGE, 2003, 19 (02) :466-470

[34]

Izhikevich E. M., 2007, DYNAMICAL SYSTEMS NE

[35] Stable irregular dynamics in complex neural networks [J].

Jahnke, Sven ;

Memmesheimer, Raoul-Martin ;

Timme, Marc .

PHYSICAL REVIEW LETTERS, 2008, 100 (04)

[36] Guiding Synchrony through Random Networks [J].

Jahnke, Sven ;

Timme, Marc ;

Memmesheimer, Raoul-Martin .

PHYSICAL REVIEW X, 2012, 2 (04)

[37] INFORMATION THEORY AND STATISTICAL MECHANICS [J].

JAYNES, ET .

PHYSICAL REVIEW, 1957, 106 (04) :620-630

[38] Collective phase sensitivity [J].

Kawamura, Yoji ;

Nakao, Hiroya ;

Arai, Kensuke ;

Kori, Hiroshi ;

Kuramoto, Yoshiki .

PHYSICAL REVIEW LETTERS, 2008, 101 (02)

[39] Breakdown of order preservation in symmetric oscillator networks with pulse-coupling [J].

Kielblock, Hinrich ;

Kirst, Christoph ;

Timme, Marc .

CHAOS, 2011, 21 (02)

[40] Entrainment of randomly coupled oscillator networks by a pacemaker [J].

Kori, H ;

Mikhailov, AS .

PHYSICAL REVIEW LETTERS, 2004, 93 (25)

← 1 2 3 4 5 6 7 8 9 10 →