  Non-linear oscillator networks have revealed properties as the remote
synchronization and the quorum sensing. The remote synchronization, defined as
the synchronization of nodes not directly connected by any sequence of
synchronized nodes, was found firstly in networks of amplitude oscillators and
recently in bipartite delayed networks of phase oscillators. The quorum
sensing, a biological information scheme discovered in cell aggregates, has
been investigated in amplitude oscillators coupled by a common medium.
Implications of such findings are important in technology and biology. We show
both of them in non-bipartite, biologically plausible networks of Kuramoto
oscillators. The quorum sensing emerges using the graph edge density, while the
remote synchronization is obtained by means of an oscillator acting as a
pacemaker. In the remote synchronization two distinct groups of well inter and
infra-synchronized nodes, separated by non-synchronized paths, appear clearly.
Our biological interpretation is that the remote synchronization, bypassing the
normal quorum sensing mechanism, is responsible of the pathological cell
proliferation. This approach seems suitable to study the quorum sensing
alterations due to genetic mutation or to the environmental action before the
actual mass replication begins.
