A model of biological morphogenesis is presented. The model is based on a gene network
cell description and the interaction among the nearest cells. Here interactions between cells …

One of the most striking and intriguing aspects of natural phenomena is that complex
systems, involving a large number of strongly interacting elements, can form and maintain …

The study of reaction-diffusion systems on networks is of paramount relevance for the
understanding of nonlinear processes in systems where the topology is intrinsically discrete …

Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

We study Turing pattern formation in a model reaction-diffusion system with two coupled
identical layers. The coupling creates a pitchfork bifurcation, which unfolds the symmetric …

Networks have recently emerged as a unifying theme in complex systems research [1]. It is
in fact no coincidence that networks and complexity are so heavily intertwined. Any future …

Author summary Modern network science is a new and exciting research field that has
transformed the study of complex systems over the last 2 decades. Of particular interest is …

Patterns are ubiquitous in living systems and underlie the dynamic organization of cells,
tissues, and embryos. Mathematical frameworks have been devised to account for the self …

Many networks describing complex systems are directed: the interactions between elements
are not symmetric. Recent work has shown that these networks can display properties such …

Biochemical reactions underlie the functioning of all life. Like many examples of biology or
technology, the complex set of interactions among molecules within cells and ecosystems …