Scale invariance analysis for genetic networks applying homogeneity

Bernuau, Emmanuel; Efimov, Denis; Perruquetti, Wilfrid

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1007/s00285-015-0923-y

Title :

Scale invariance analysis for genetic networks applying homogeneity

Author(s) :

Bernuau, Emmanuel [Auteur]
Institut de Recherche en Communications et en Cybernétique de Nantes [IRCCyN]
Efimov, Denis [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]

Non-Asymptotic estimation for online systems [NON-A]

Journal title :

Journal of Mathematical Biology

Pages :

1--10

Publisher :

Springer

Publication date :

2015-08-25

ISSN :

0303-6812

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

Scalability is a property describing the change of the trajectory of a dynamical system under a scaling of the input stimulus and of the initial conditions. Particular cases of scalability include the scale invariance and ...
Show more >Scalability is a property describing the change of the trajectory of a dynamical system under a scaling of the input stimulus and of the initial conditions. Particular cases of scalability include the scale invariance and fold change detection (when the scaling of the input does not influence the system output). In the present paper it is shown that homogeneous systems have this scalability property while locally homogeneous systems approximately possess this property. These facts are used for detecting scale invariance or approximate scalability (far from a steady state) in several biological systems. The results are illustrated by various regulatory networks.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

Files

https://hal.inria.fr/hal-01185119/document
Open access
Access the document

https://hal.inria.fr/hal-01185119/document
Open access
Access the document

https://hal.inria.fr/hal-01185119/document
Open access
Access the document

https://hal.inria.fr/hal-01185119/document
Open access
Access the document

document
Open access
Access the document

Homogeneity_for_a_class_of_biological_systems_v9.pdf
Open access
Access the document

Homogeneity_for_a_class_of_biological_systems_v9.pdf
Open access
Access the document

document
Open access
Access the document

Homogeneity_for_a_class_of_biological_systems_v9.pdf
Open access
Access the document

Scale invariance analysis for genetic ... BibTeX CSV Excel RIS

Files

Scale invariance analysis for genetic ...

BibTeX

CSV

Excel

RIS