Theory and applications of complex networks: Advances and challenges
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 …
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 …
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
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 …
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 …
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 …
complex regulatory networks like the circadian clock. We prove that the Repressilator …
Dynamics of coupled repressilators: The role of mRNA kinetics and transcription cooperativity
Oscillatory regulatory networks have been discovered in many cellular pathways. An
especially challenging area is studying dynamics of cellular oscillators interacting with one …
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 …
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
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 …
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 …
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 …
among the constituent units. In this paper we study the interplay between topology and …