This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to phenomena in nature. Of particular concern are large-amplitude patterns far from equilibrium in biologically relevant models.The approach adopted in the monograph is based on the following paradigms:• Examine the existence of spiky steady states in reaction-diffusion systems and select as observab
International audienceThis book presents several fundamental questions in mathematical biology such ...
In the thesis, `Patterns in natural systems’ the formation and evolution of ...
In this paper, we will investigate the effect of diffusion, which is ubiquitous in nature, on the im...
Mathematicians and biologists have presented various models to describe patterns found in biological...
In this thesis we examine mathematical models which have been suggested as possibile mechanisms for ...
In this article, we focus on a pattern formation method via reaction - diffusion systems. In particu...
One of the characteristics of biological systems is their ability to produce and sustain spatial and...
In these lectures some simple ideas common to theories of pattern formation in diverse areas of Phys...
In this thesis we examine mathematical models which have been suggested as possibile mechanisms for ...
In these lectures some simple ideas common to theories of pattern formation in diverse areas of Phys...
We consider the use of reaction-diffusion equations to model biological pattern formation and descri...
This book presents several fundamental questions in mathematical biology such as Turing instability,...
Abstract. We consider macroscopic systems driven away from thermodynamic equi-librium by an imposed ...
The formation of spatiotemporal patterning in biology has intrigued experimentalists and theoreticia...
The general problem of pattern formation in biological development is described. One possible type ...
International audienceThis book presents several fundamental questions in mathematical biology such ...
In the thesis, `Patterns in natural systems’ the formation and evolution of ...
In this paper, we will investigate the effect of diffusion, which is ubiquitous in nature, on the im...
Mathematicians and biologists have presented various models to describe patterns found in biological...
In this thesis we examine mathematical models which have been suggested as possibile mechanisms for ...
In this article, we focus on a pattern formation method via reaction - diffusion systems. In particu...
One of the characteristics of biological systems is their ability to produce and sustain spatial and...
In these lectures some simple ideas common to theories of pattern formation in diverse areas of Phys...
In this thesis we examine mathematical models which have been suggested as possibile mechanisms for ...
In these lectures some simple ideas common to theories of pattern formation in diverse areas of Phys...
We consider the use of reaction-diffusion equations to model biological pattern formation and descri...
This book presents several fundamental questions in mathematical biology such as Turing instability,...
Abstract. We consider macroscopic systems driven away from thermodynamic equi-librium by an imposed ...
The formation of spatiotemporal patterning in biology has intrigued experimentalists and theoreticia...
The general problem of pattern formation in biological development is described. One possible type ...
International audienceThis book presents several fundamental questions in mathematical biology such ...
In the thesis, `Patterns in natural systems’ the formation and evolution of ...
In this paper, we will investigate the effect of diffusion, which is ubiquitous in nature, on the im...