For the approach based on quasi-likelihood estimation a characterization of design optimality is derived and optimal designs are determined numerically for an example with random slope parameters.
Although not demonstrated in this example, simulation with random unexplained variability or a variance-covariance matrix requires adaptation of the code provided in the example script for coding a population model in R (supplementary material available online).
In our example with the random expression profiles (data displayed in Fig S2), we calculated the effect of 100 tissues having a significantly lower expression of a gene in a set of 13629 arrays.
I have tested the maxima of the magnitude computed from the square root of the sum of the squares of the horizontal, vertical and diagonal components (HVDM), and maxima of GAS in imaging the source edges in theoretical examples, with and without random Gaussian noise.
Numerical examples with periodic and random highly oscillating coefficients, as well as the multiscale problems on the L-shaped domain, and multiscale problems with high contrast channels or well-singularities are presented to demonstrate the efficiency and accuracy of the proposed method.
That's what Andersen calls the concurrences of "the quarter-century-long freezing of stylistic innovation" (how quickly a hypothesis with random examples -- Joan Didion! -- becomes fact) and "the pandemic obsession with style".
We take symptom Muscle Cramp as an example to compare our result with random case.
This can be addressed by phase randomization procedures, for example by using blocks with random shifts.
For example, an IAF neuron with random thresholds can be used [15, 30].
Example 3 (Impulsive differential equation with random points of impulses).
