The origin of life is a fascinating, unresolved problem whose deciphering would have
important scientific, epistemological and social implications. Over time, philosophers and …

One of the central issues in developmental biology is the formation of spatial pattern in the
embryo. A number of theories have been proposed to account for this phenomenon. The …

Transformers are widely used in natural language processing due to their ability to model
longer-term dependencies in text. Although these models achieve state-of-the-art …

Flexible integration spurs diverse applications in metal-organic frameworks (MOFs).
However, current configurations suffer from the trade-off between MOF loadings and …

Numerical simulations of a simple reaction-diffusion model reveal a surprising variety of
irregular spatiotemporal patterns. These patterns arise in response to finite-amplitude …

Chemical reactions with nonlinear kinetic behavior can give rise to a remarkable set of
spatiotemporal phenomena. These include periodic and chaotic changes in concentration …

IN his classic 1952 paper, Turing1 suggested a possible connection between patterns in
biological systems and patterns that could form spontaneously in chemical reaction …

Cross-diffusion, the phenomenon in which a gradient in the concentration of one species
induces a flux of another chemical species, has generally been neglected in the study of …

A periodic force applied to a nonlinear pendulum can cause the pendulum to become
entrained at a frequency that is rationally related to the applied frequency, a phenomenon …

In this work, we analyse a pair of one-dimensional coupled reaction-diffusion equations
known as the Gray-Scott model, in which self-replicating patterns have been observed. We …