We have tried several sets of parameter values, and the same conclusion is reached in all cases.
After the missing cases are completed by several sets of plausible values to create multiple completed datasets, standard complete-data procedures are applied to each completed dataset, and finally the multiple sets of results are combined to yield a single inference.
For the 1 D minimal model with number of cell N = 50, we estimated several sets of parameter values that gave steady-state solutions with auxin distribution matching the experimentally observed pattern reported by Sabatini et al. (1999) ([ 3]; Figure 4B-C; [Additional files 1: Text S3; 3; 4: I]).
We fitted all models by using MPlus, version 6.1, software (38), which automatically uses appropriate iterative algorithms and several sets of random starting values to reduce the probability of obtaining a local solution.
In this section, we carry out numerical simulations to demonstrate our theoretical results and the complex dynamics of model (1) for several sets of parameters and initial values.
Rather than estimating apparent Michaelis-Menten parameter values from slopes of double reciprocal plots, we use nonlinear curve fitting to simultaneously estimate parameter values from several sets of data from kinetic studies on specific isoforms of the enzyme.
A transcriptional correlation analysis across the 12 core tissues of the MPSS database showed that several sets of genes were correlated at r values greater than 0.9.
This general increase in the mean β-value is specific for CIMP-associated loci, since the mean β-value from several sets of 100 randomly selected CpG sites did not show a similar trend (Figure 4C and 4D).
In the first approach, for each value r that we considered, we sampled again several sets of tips, yet much fewer than the ones we used to calculate the reference values (100, 500, 1000 or 5000 sets).
