Synchronization of Interconnected Systems With Applications to Biochemical Networks: An Input-Output Approach

By Luca Scardovi, Murat Arcak, Eduardo Sontag. 2009

245 citations recorded by the source corpus.

This paper provides synchronization conditions for networks of nonlinear systems. The components of the network (referred to as “compartments” in this paper) are made up of an identical interconnection of subsystems, each represented as an operator in an extended L2 space and referred to as a “species.” The compartments are, in turn, coupled through a diffusion-like term among the respective species. The synchronization conditions are provided by combining the input-output properties of the subsystems with information about the structure of the network. The paper also explores results for state-space models, as well as biochemical applications. The work is motivated by cellular networks where signaling occurs both internally, through interactions of species, and externally, through intercellular signaling. The theory is illustrated by providing synchronization conditions for networks of Goodwin oscillators.

Subfields: Computer Networks and Communications, Molecular Biology

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Romeo Ortega
2. Luis Basañez
3. David John Hill
4. Emmanuel Nuño
5. Abdelkader Abdessameud
6. Abdelhamid Tayebi

In Molecular Biology

1. Romeo Ortega
2. Luis Basañez
3. David John Hill
4. Emmanuel Nuño

Citations in the corpus

• Synchronization of Networks of Nonidentical Euler-Lagrange Systems With Uncertain Parameters and Communication Delays (2011, methodology): “Inspired by [15], define , where has the following properties: i) ; ii) ; iii) ; iv) for some .”