Glycolysis is the central metabolic pathway of almost every cell and organism. Under
appropriate conditions, glycolytic oscillations may occur in individual cells as well as in …

Some analytical and numerical results are presented for pattern formation properties
associated with novel types of reaction–diffusion (RD) systems that involve the coupling of …

Originating from the pioneering study of Alan Turing, the bifurcation analysis predicting
spatial pattern formation from a spatially uniform state for diffusing morphogens or chemical …

For a cell-bulk ODE-PDE model in $\mathbb {R}^ 2$, a hybrid asymptotic-numerical theory is
developed to provide a new theoretical and computationally efficient approach for studying …

For a 2-D coupled PDE-ODE bulk-cell model, we investigate symmetry-breaking bifurcations
that can emerge when two bulk diffusing species are coupled to two-component nonlinear …

There are many processes in cell biology that can be modeled in terms of particles diffusing
in a two-dimensional (2D) or three-dimensional (3D) bounded domain Ω⊂ R d containing a …

Chimera states are firstly discovered in nonlocally coupled oscillator systems. Such a
nonlocal coupling arises typically as oscillators are coupled via an external environment …

Contributions to the field of cellular energy metabolism have been dominated by
biochemistry. Over the past decade, however, several physics-based approaches have …