The theory of reaction–diffusion waves begins in the 1930s with the works in population
dynamics, combustion theory and chemical kinetics. At the present time, it is a well …

Self-organization is pervasive in development, from symmetry breaking in the early embryo
to tissue patterning and morphogenesis. For a few model systems, the underlying molecular …

This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

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 …

In this article we consider finite element methods for approximating the solution of partial
differential equations on surfaces. We focus on surface finite elements on triangulated …

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 …

Chemotaxis is one of many mechanisms used by cells and organisms to navigate through
the environment, and has been found on scales varying from the microscopic to the …

One of the fundamental questions in developmental biology is how the vast range of pattern
and structure we observe in nature emerges from an almost uniformly homogeneous …

In the nearly seven decades since the publication of Alan Turing's work on morphogenesis,
enormous progress has been made in understanding both the mathematical and biological …

In this paper we examine spatio-temporal pattern formation in reaction-diffusion systems on
the surface of the unit sphere in 3D. We first generalise the usual linear stability analysis for …