Sentence examples for steady state pattern from inspiring English sources

An inhomogeneous steady state pattern of nonlinear reaction diffusion equations with no-flux boundary conditions is usually computed by solving the corresponding time-dependent reaction diffusion equations using temporal schemes.

This Boolean model has been shown to be able to generate and robustly maintain the experimentally observed steady state pattern [ 10- 12].

Similarly, work on robustness and evolvability, using ensembles of simulated networks, standardly assumes that the steady state pattern produced by a model can be taken as a satisfactory and realistic representation of the phenotype of the system (e. g. [ 59- 62]).

It has been found that the processes of amplitude rise and decay differ from each other; additionally it was found that the vibration patterns during transient motions are different from those of the steady state patterns.

In order to be able to effect these different oscillatory or steady state patterns in each metabolic subsystem, the input-output conversion is made in two stages.

In [30], patterning at the gap gene stage is associated with the existence of attractors in an high dimensional phase-space, implying that gap gene patterns are obtained as steady state patterns.

As generally seen in the formation of Turing patterns, the initial distribution of Wnt plays an important role in creating the steady state patterns due to the existence of multiple steady state solutions of reaction diffusion equations.

Figure 6A was generated using a set of initial conditions with each species surrounded by a sea of its competitor at carrying capacity (see Additional file 1: Figure S9). Figure 6B D are possible steady state patterns using an inhibition constant (c2) of 1.0, 1.05, and 1.1 respectively.

Hence, the successful experimental search for this steady-state pattern in real systems seems doubtful.

This topology signifies how much the prevailing profile in the reactor may vary from a specific steady-state pattern.

Application of the criteria involves relatively simple calculations and leads to an exact description of the steady-state pattern in parameter space.