References

The program relax

d'Auvergne, E. J. and Gooley, P. R. (2008). Optimisation of NMR dynamic models I. Minimisation algorithms and their performance within the model-free and Brownian rotational diffusion spaces. J. Biomol. NMR, 40(2), 107-119. (abstract)
d'Auvergne, E. J. and Gooley, P. R. (2008). Optimisation of NMR dynamic models II. A new methodology for the dual optimisation of the model-free parameters and the Brownian rotational diffusion tensor. J. Biomol. NMR, 40(2), 121-133. (abstract)

For a model-free analysis using relax, all of the following should be cited!

Lipari, G. and Szabo, A. (1982a). Model-free approach to the interpretation of nuclear magnetic-resonance relaxation in macromolecules I. Theory and range of validity. J. Am. Chem. Soc., 104(17), 4546–4559.
Lipari, G. and Szabo, A. (1982b). Model-free approach to the interpretation of nuclear magnetic-resonance relaxation in macromolecules II. Analysis of experimental results. J. Am. Chem. Soc., 104(17), 4559–4570.

Clore, G. M., Szabo, A., Bax, A., Kay, L. E., Driscoll, P. C., and Gronenborn, A. M. (1990b). Deviations from the simple 2-parameter model-free approach to the interpretation of N-15 nuclear magnetic-relaxation of proteins. J. Am. Chem. Soc., 112(12), 4989–4991.

d'Auvergne, E. J. and Gooley, P. R. (2003). The use of model selection in the model-free analysis of protein dynamics. J. Biomol. NMR, 25(1), 25–39. (abstract)

d'Auvergne, E. J. and Gooley, P. R. (2006). Model-free model elimination: A new step in the model-free dynamic analysis of NMR relaxation data. J. Biomol. NMR, 35(2), 117–135. (abstract)

d'Auvergne, E. J. and Gooley, P. R. (2008). Optimisation of NMR dynamic models I. Minimisation algorithms and their performance within the model-free and Brownian rotational diffusion spaces. J. Biomol. NMR, 40(2), 107-119. (abstract)

d'Auvergne E. J., Gooley P. R. (2007). Set theory formulation of the model-free problem and the diffusion seeded model-free paradigm. Mol. Biosyst., 3(7), 483-494. (abstract)
d'Auvergne, E. J. and Gooley, P. R. (2008). Optimisation of NMR dynamic models II. A new methodology for the dual optimisation of the model-free parameters and the Brownian rotational diffusion tensor. J. Biomol. NMR, 40(2), 121-133. (abstract)

This PhD thesis expands on all of the d'Auvergne and Gooley references and describes model-free analysis and the program relax in more detail.

d'Auvergne, E. J. (2006). Protein dynamics: a study of the model-free analysis of NMR relaxation data. Ph.D. thesis, Biochemistry and Molecular Biology, University of Melbourne. (abstract, PDF)

Chen, J., Brooks, 3rd, C. L., and Wright, P. E. (2004). Model-free analysis of protein dynamics: assessment of accuracy and model selection protocols based on molecular dynamics simulation. J. Biomol. NMR, 29(3), 243-257.
Farrow, N. A., Zhang, O., Forman-Kay, J. D., Kay, L. E. (1995). Comparison of the backbone dynamics of a folded and an unfolded SH3 domain existing in equilibrium in aqueous buffer. Biochem., 34(3), 868-878.
Horne J., d'Auvergne E. J., Coles M., Velkov T., Chin Y., Charman W. N., Prankerd R., Gooley P. R., Scanlon M. J. (2007). Probing the flexibility of the DsbA oxidoreductase from Vibrio cholerae - a ¹⁵N-¹H heteronuclear NMR relaxation analysis of oxidized and reduced forms of DsbA. J. Mol. Biol., 371(3), 703-716. (abstract)
Lefevre, J. F., Dayie, K. T., Peng, J. W., and Wagner, G. (1996). Internal mobility in the partially folded DNA binding and dimerization domains of GAL4: NMR analysis of the N-H spectral density functions. Biochem., 35(8), 2674–2686.
Mandel, A. M., Akke, M., and Palmer, 3rd, A. G. (1995). Backbone dynamics of Escherichia coli ribonuclease HI: correlations with structure and function in an active enzyme. J. Mol. Biol., 246(1), 144–163.
Tugarinov, V., Liang, Z., Shapiro, Y. E., Freed, J. H., and Meirovitch, E. (2001). A structural mode-coupling approach to ¹⁵N NMR relaxation in proteins. J. Am. Chem. Soc., 123(13), 3055–3063.