Theory and applications of complex networks: Advances and challenges

J Lü, G Chen, MJ Ogorzalek… - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
Over the last decade, complex networks have emerged to be a promising research field in
the area of circuits and systems. This mini-review paper introduces the special session that …

Dynamical properties of the repressilator model

O Buse, R Pérez, A Kuznetsov - Physical Review E—Statistical, Nonlinear, and …, 2010 - APS
Oscillatory regulatory networks have been discovered in many regulatory pathways. Due to
their enormous complexity, it is necessary to study their dynamics by means of highly …

Global relative parameter sensitivities of the feed-forward loops in genetic networks

P Wang, J Lü, MJ Ogorzalek - Neurocomputing, 2012 - Elsevier
It is well known that the feed-forward loops (FFLs) are typical network motifs in many real
world biological networks. The structures, functions, as well as noise characteristics of FFLs …

A gene regulatory motif that generates oscillatory or multiway switch outputs

J Panovska-Griffiths, KM Page… - Journal of The Royal …, 2013 - royalsocietypublishing.org
The pattern of gene expression in a developing tissue determines the spatial organization of
cell type generation. We previously defined regulatory interactions between a set of …

Existence of limit cycles in the repressilator equations

O Buşe, A Kuznetsov, RA Pérez - International Journal of …, 2009 - World Scientific
The Repressilator is a genetic regulatory network used to model oscillatory behavior of more
complex regulatory networks like the circadian clock. We prove that the Repressilator …

Dynamics of coupled repressilators: The role of mRNA kinetics and transcription cooperativity

I Potapov, E Volkov, A Kuznetsov - … Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
Oscillatory regulatory networks have been discovered in many cellular pathways. An
especially challenging area is studying dynamics of cellular oscillators interacting with one …

Scaling behavior in probabilistic neuronal cellular automata

K Manchanda, AC Yadav, R Ramaswamy - Physical Review E—Statistical …, 2013 - APS
We study a neural network model of interacting stochastic discrete two-state cellular
automata on a regular lattice. The system is externally tuned to a critical point which varies …

Architecture-dependent robustness and bistability in a class of genetic circuits

J Zhang, Z Yuan, HX Li, T Zhou - Biophysical journal, 2010 - cell.com
Understanding the relationship between genotype and phenotype is a challenge in systems
biology. An interesting yet related issue is why a particular circuit topology is present in a cell …

Cyclic feedback systems with quorum sensing coupling

T Gedeon, M Pernarowski, A Wilander - Bulletin of mathematical biology, 2016 - Springer
Synchronization and desynchronization is of great interest in the study of circadian rhythms,
metabolic oscillations and time-dependent cell aggregate behaviors. Several recent studies …

Excitable nodes on random graphs: Relating dynamics to network structure

TU Singh, K Manchanda, R Ramaswamy… - SIAM Journal on Applied …, 2011 - SIAM
Rhythmic activity in complex systems is generated and sustained through interactions
among the constituent units. In this paper we study the interplay between topology and …