During limb development, digits emerge from the undifferentiated mesenchymal tissue that
constitutes the limb bud. It has been proposed that this process is controlled by a self …

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 …

Nonlinear reaction–diffusion systems are often employed in mathematical modeling for
pattern formation. Most of the work to date has been concerned within one-dimensional or …

Reaction diffusion systems are often used to study pattern formation in biological systems.
However, most methods for understanding their behavior are challenging and can rarely be …

Turing patterns can be observed in reaction-diffusion systems where chemical species have
different diffusion constants. In recent years, several studies investigated the effects of noise …

The incorporation of domain growth into stochastic models of biological processes is of
increasing interest to mathematical modellers and biologists alike. In many situations …

Reaction–diffusion models have been used as a paradigm for describing the de novo
emergence of biological patterns such as stripes and spots. In many organisms, these initial …

We explore the key differences in the stability picture between extended systems on time-
fixed and time-dependent spatial domains. As a paradigm, we take the complex Swift …

Turing mechanisms can yield a large variety of patterns from noisy, homogenous initial
conditions and have been proposed as patterning mechanism for many developmental …

Background: The three chick wing digits represent a classical example of a pattern specified
by a morphogen gradient. Here we have investigated whether a mathematical model of a …