By presenting a systematic methodology for obtaining a consistent model-free description of the dynamics of the system, the manuscript of Mandel et al. (1995) revolutionised the application of model-free analysis. The full protocol is presented in Figure 7.1.
All of the data analysis techniques required for this protocol can be implemented within relax. The chi-squared distributions required for the chi-squared tests are constructed by Modelfree4 from the Monte Carlo simulations. If the optimisation algorithms and Monte Carlo simulations built into relax are utilised, then the relax script will need to construct the chi-squared distributions from the results as this is not yet coded into relax. The specific step-up hypothesis testing model selection of Mandel et al. (1995) is available through the model_selection user function. Coding the rest of the protocol into a script should be straightforward.
To implement this analysis, a number of scripts would need to be written. There is no sample script in relax for performing this analysis. The simple sample scripts from above would need to be extended. For example a starting script for determining the initial diffusion tensor estimates based on the R1/R2 ratio of Kay et al. (1989) would have to be written. The tensor from this script could then be feed into the model_free/mf_multimodel.py script, followed by the model_free/modsel.py script, and then a third script written to optimise the diffusion tensor. A master script could be written first run the initial diffusion tensor script, then to iteratively execute the last three scripts until convergence, and finally to select the best diffusion model (see Figure 7.1). Alternatively, these could all be combined into one super script.
The relax user manual (PDF), created 2019-03-08.