There has been a resurgence of interest in non-equilibrium stochastic processes in recent
years, driven in part by the observation that the number of molecules (genes, mRNA …

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

The emergence of dynamical abrupt transitions for the first time in an ensemble of identical
limit-cycle and chaotic oscillators coupled via a common environment is reported. The …

A class of coupled cell–bulk ODE–PDE models is formulated and analyzed in a two-
dimensional domain, which is relevant to studying quorum-sensing behavior on thin …

In the behavior known as quorum sensing (QS), bacteria release diffusible signal molecules
known as autoinducers, which by accumulating in the environment induce population-wide …

We study the phenomena of suppression and revival of oscillations in a system of limit cycle
oscillators coupled indirectly via a dynamic local environment. The dynamics of the …

The network of oscillators coupled via a common environment has been widely studied due
to its great abundance in nature. We exploit the occurrence of explosive oscillation …

The fact that the elements in some realistic systems are influenced by each other indirectly
through a common environment has stimulated a new surge of studies on the collective …

We study the phenomena of oscillation quenching in a system of limit cycle oscillators which
are coupled indirectly via a dynamic environment. The dynamics of the environment is …

We formulate and analyze oscillatory dynamics associated with a model of dynamically
active, but spatially segregated, compartments that are coupled through a chemical signal …