Sentence examples for pattern formation systems from inspiring English sources

Results indicate that in some pattern formation systems, where the pattern emerges by a precipitation reaction of metal and hydroxide ions, phenomena can be governed by a complex pH field.

Examples would include, the design of a chemical stimulation to maximize the amplitude of a given cellular signal or to achieve a desired pattern in pattern formation systems, etc.

We hope that the results in the paper will allow for the clearer understanding of the rich dynamics of this particular pattern formation system.

We hope that the results in the paper will allow for a clearer understanding of the rich dynamics of this particular pattern formation system.

It was Doelman et al. [1] who first studied the modified Swift-Hohenberg equation for a pattern formation system with two unbounded spatial directions that are near the onset to instability.

After that, Doelman and Standstede [5] proposed the following modified Swift-Hohenberg equation for a pattern formation system near the onset to instability: u_{t}+Delta^{2}u+2Delta u+alpha u+bvert nabla u vert ^{2}+u^{3}=0, (1.1) where α and b are arbitrary constants.

The pattern formation in systems with multiple layers of adsorbate molecules is studied.

In this paper, self-assembly is defined as pattern formation in systems that tend toward equilibrium (Halley and Winkler, 2008).

P value and q value apply to the fold enrichment In LSC motor neurons, upregulated genes were enriched for the functions of skeletal system development, anterior/posterior pattern formation, immune system processes, the extracellular matrix, cell adhesion, and transcription (Fig.  2b; Table  3).

In the work of Toh et al. [7], the original equation was presented as a model system to study the pattern formation in nonlinear systems with dispersion and dissipation.

The implications of our results for pattern formation in these systems are then discussed.