A different partial derivative exists for the spectral density function parameter θj, the chemical exchange parameter ρex, CSA parameter Δσ, and bond length parameter r. In model-free analysis the spectral density parameters include both the parameters of the diffusion tensor and the parameters of the various model-free models.
The partial derivatives of the relaxation equations with respect to the spectral density function parameter θj are
The partial derivatives of the relaxation equations with respect to the chemical exchange parameter ρex are
The partial derivatives of the relaxation equations with respect to the CSA parameter Δσ are
The partial derivatives of the relaxation equations with respect to the bond length parameter r are
The relax user manual (PDF), created 2024-06-08.