Stochastic fluctuations of molecule numbers are ubiquitous in biological systems. Important
examples include gene expression and enzymatic processes in living cells. Such systems …

Networks are a widely used and efficient paradigm to model real-world systems where basic
units interact pairwise. Many body interactions are often at play, and cannot be modelled by …

Dynamical processes on networks have generated widespread interest in recent years. The
theory of pattern formation in reaction–diffusion systems defined on symmetric networks has …

Nature is a blossoming of regular structures, signature of self-organization of the underlying
microscopic interacting agents. Turing theory of pattern formation is one of the most studied …

The emergence of order in nature manifests in different phenomena, with synchronization
being one of the most representative examples. Understanding the role played by the …

Under nitrogen deprivation, the one-dimensional cyanobacterial organism Anabaena sp.
PCC 7120 develops patterns of single, nitrogen-fixing cells separated by nearly regular …

We consider the dynamics of a reaction-diffusion system on a multigraph. The species share
the same set of nodes but can access different links to explore the embedding spatial …

Turing instability is a fundamental mechanism of nonequilibrium self-organization. However,
despite the universality of its essential mechanism, Turing instability has thus far been …

Noise is ubiquitous in natural and artificial systems. In a noisy environment, the interactions
among nodes may fluctuate randomly, leading to more complicated interactions. In this …

Random walks are the simplest way to explore or search a graph and have revealed a very
useful tool to investigate and characterize the structural properties of complex networks from …