Inverse Problems

Some methods implemented as automatic software packages for the stable inversion of experimental data:

• LCModel: for the automatic quantification of in vivo proton MR spectra.
  
  
• DISCRETE: for a discrete sum of exponential decays.
  
  
• SplMod: for a discrete sum of 1-parameter functions, such as convoluted exponentials in fast decay processes. Global analysis of multiple (e.g., wavelength) data sets with the same decay constants is possible.
  
  
• CONTIN: a general-purpose constrained regularization method for continuous distributions, such as inverse Laplace transforms in relaxation studies and in dynamic light scattering. Examples of many other user-defined applications implemented by users can be found with Science Citation Index.
  Constraints, such as nonnegativity, can be imposed.
  
  
• CONTIN-CD: CONTIN specialized to multicomponent spectra, particularly to the estimation of the secondary structure content of proteins from circular dichroism.
  
  
• CONTIN-multiq: CONTIN specialized to the simultaneous global analysis of dynamic light scattering data sets obtained at different values of the scattering vector. It can also splice together multiple data sets with unknown scale factors.