Accurate quantification of in vivo 31P NMR signals using the variable projection method and prior knowledge

Magn Reson Med. 1988 Jan;6(1):92-8. doi: 10.1002/mrm.1910060111.


Free induction decay signals are analyzed by fitting a model function directly in the time domain. No starting values are needed for linear model parameters, and omission of corrupted data points poses no problems. A significant gain of accuracy is achieved by imposing prior knowledge about the model parameters.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Humans
  • In Vitro Techniques
  • Magnetic Resonance Spectroscopy / methods*
  • Models, Theoretical
  • Phosphorus
  • Time Factors


  • Phosphorus