Pattern dynamics in telegraph reaction diffusion

Pattern formation in reaction-diffusion and reaction-diffusion-convection systems

Pattern dynamics of the reaction-diffusion immune system

In this paper, we will investigate the effect of diffusion, which is ubiquitous in nature, on the immune system using a reaction-diffusion model in order to understand the dynamical behavior of complex patterns and control the dynamics of different patterns. Through control theory and linear stability analysis of local equilibrium, we obtain the optimal condition under which the system loses st...

Pattern Formation by Reaction-diffusion

PROBLEM DEFINITION In biology, embryological development of the structure of an organism or limb is referred to as morphogenesis. As a result of morphogenesis, complex shapes and patterns can form starting from just a single cell. Two main mechanisms that contribute to the embryo’s development are cell movement and cell specialization based on cell position. These mechanisms are influenced by s...

Pattern formation mechanisms in reaction-diffusion systems.

In systems undergoing chemical reaction and diffusion, a remarkable variety of spatially structured patterns, stationary or moving, local or global, can arise, many of them reminiscent of forms and phenomena seen in living systems. Chemical systems offer the advantage that one can often control the parameters that determine the patterns formed and can thereby probe fundamental issues about patt...

Bifurcation Pattern in Reaction-Diffusion Dissipative Systems

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...