Complex networks, comprised of individual elements that interact with each other through
reaction channels, are ubiquitous across many scientific and engineering disciplines …

Cooperativity in classical biophysics originates from molecular interactions; nonlinear
feedbacks in biochemical networks regulate dynamics inside cells. Using stochastic reaction …

Gene regulatory circuits with different architectures (patterns of regulatory interactions) can
generate similar dynamics. This raises the question of why a particular circuit architecture is …

In financial markets, greater volatility is usually considered to be synonymous with greater
risk and instability. However, large market downturns and upturns are often preceded by …

The complex dynamics of biological systems is primarily driven by molecular interactions
that underpin the regulatory networks of cells. These networks typically contain positive and …

We study the stochastic FitzHugh–Nagumo equations, modelling the dynamics of neuronal
action potentials in parameter regimes characterized by mixed-mode oscillations. The …

Genetic circuits that regulate distinct cellular processes can differ in their wiring pattern of
interactions (architecture) and susceptibility to stochastic fluctuations (noise). Whether the …

Based on a stochastic differential equation model for a single genetic regulatory system, we
examine the dynamical effects of noisy fluctuations, arising in the synthesis reaction, on the …

The engineering of transcriptional networks presents many challenges due to the inherent
uncertainty in the system structure, changing cellular context, and stochasticity in the …

Epigenetic regulation in eukaryotic and mammalian systems is a complex and emerging
field of study. While histone modifications create an open chromatin conformation allowing …