Oscillation quenching constitutes a fundamental emergent phenomenon in systems of
coupled nonlinear oscillators. Its importance for various natural and man-made systems …

Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …

For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling
we establish novel partially coherent inhomogeneous spatial patterns, which combine the …

Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

Intercellular calcium (Ca2+) waves (ICWs) represent the propagation of increases in
intracellular Ca2+ through a syncytium of cells and appear to be a fundamental mechanism …

Connexin channels are known to be permeable to a variety of cytoplasmic molecules. The
first observation of second messenger junctional permeability, made∼ 30 years ago …

The interactions between mathematics and physiology have a long and illustrious history, of
which the study of calcium signalling is but a small chapter. Nevertheless, for those involved …

Mathematical modeling of the glucose–insulin feedback system is necessary to the
understanding of the homeostatic control, to analyze experimental data, to identify and …

Coupled oscillators are shown to experience two structurally different oscillation quenching
types: amplitude death (AD) and oscillation death (OD). We demonstrate that both AD and …

In β cells, stimulation by metabolic, hormonal, neuronal, and pharmacological factors is
coupled to secretion of insulin through different intracellular signaling pathways. Our …