By using the Toolbox YALMIP in MATLAB to solve the LMI (29) and (30) we can obtain feasible solutions, the processes of asymptotic stability of mRNA concentration and protein concentration under Dirichlet boundary conditions are shown by Figures 1-8.
Computations were performed using the toolbox as follows in the MATLAB software (R2011a).
From this point of view, the complex morphologies of the Charales and Coleochaetales could have evolved completely independently by using the toolbox already present in the common ancestor of these streptophyte algae.
Therefore, one of the major hurdles in using the toolbox of genes, promoters and metabolites described in Table 1 to improve drought responses in Solanaceae crops lies not in producing these plants but in accurately defining them.
Statistical analyses were performed using the statistics toolbox in MATLAB®R2007b (The MathWorks Inc, Natick, MA, U.S.A .. Differences between seasons in both slope and intercept of the relationships between metabolic or kinematic variables and U were tested for using ANCOVA.
Task stimuli were presented using the Psychophysics toolbox in Matlab (Brainard, 1997).
We finally validate our framework with simulations using the TrueTime toolbox in MATLAB/Simulink.
The implemented numerical solution is exact in the sense that numerical error is solely due to round-off errors, which will be shown using the symbolic toolbox in MATLAB.
In the experiments, two financial ratio sets, one extracted from the suggestions of other studies and the other obtained by using the GA toolbox in the SAS statistical software package, were applied to examine the proposed ratio selection schemes.
Significant differences were tested by paired two-tailed Wilcoxon signed rank tests (for detectability scores and SUV) using the statistical toolbox in MATLAB (version 2013b; MathWorks, Natick, USA).
