Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to account for morphogenesis, i.e., the development of patterns, shapes and structures found in nature. Here we will discuss the formation of patterns and structures obtained through numerical simulation of the Turing mechanism in two and three dimensions. The forming patterns are found to depend strongly on the initial and boundary conditions as well as system parameters, showing a rich variety of patterns, e.g. stripes and spots (2D), and lamellae and spherical droplets (3D) arranged in structures of high symmetry, with or without defects or distortions
A central issue in developmental biology is the formation of pattern and form in the early embryo. ...
Reaction-diffusion, or Turing, models have been proposed to account for a number of pattern formatio...
The problem of morphogenesis and Turing instability are revisited from the point of view of dimensio...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
In 1952, Alan M. Turing presented a reaction-diffusion model that described formation of skin patter...
In an attempt to describe how patterns emerge in biological systems, Alan Turing proposed a mathemat...
In an attempt to describe how patterns emerge in biological systems, Alan Turing proposed a mathemat...
Reaction-diffusion, or Turing, models have been proposed to account for a number of pattern formatio...
For many years Turing systems have been proposed to account for spatial and spatiotemporal pattern f...
A central issue in developmental biology is the formation of pattern and form in the early embryo. ...
Reaction-diffusion, or Turing, models have been proposed to account for a number of pattern formatio...
The problem of morphogenesis and Turing instability are revisited from the point of view of dimensio...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
Half a century ago a reaction-diffusion system of two chemicals was introduced by Alan Turing to acc...
In 1952, Alan M. Turing presented a reaction-diffusion model that described formation of skin patter...
In an attempt to describe how patterns emerge in biological systems, Alan Turing proposed a mathemat...
In an attempt to describe how patterns emerge in biological systems, Alan Turing proposed a mathemat...
Reaction-diffusion, or Turing, models have been proposed to account for a number of pattern formatio...
For many years Turing systems have been proposed to account for spatial and spatiotemporal pattern f...
A central issue in developmental biology is the formation of pattern and form in the early embryo. ...
Reaction-diffusion, or Turing, models have been proposed to account for a number of pattern formatio...
The problem of morphogenesis and Turing instability are revisited from the point of view of dimensio...