The mono-exponential pattern of phosphocreatine recovery after muscle exercise is a particular case of a more complex behaviour

Biochim Biophys Acta. 2004 Feb 15;1608(2-3):131-9. doi: 10.1016/j.bbabio.2003.11.003.

Abstract

A mathematical model is proposed showing that the mono-exponential recovery of phosphocreatine (PCr) after exercise is an approximation of a more complex pattern, which is identified by a second-order differential equation. The model predicts the possibility of three different patterns of PCr recovery: bi-exponential, oscillatory damped, and critically damped; the mono-exponential pattern being a particular case of the functions which are solutions of the differential equation. The model was tested on a sample of recovery data from 50 volunteers, checking whether the recovery patterns predicted by the model lead to a significant improvement of fit (IF) compared with the mono-exponential pattern. Results show that the IF is linked to pH. Bi-exponential solutions showed an IF in the pH range 6.65-6.85, and the oscillatory solutions at pH>6.9. Critically damped solutions displayed a poor IF. Oscillation frequencies found in the oscillatory recoveries increase at increasing pH. These results show that pH has a pivotal role on the pattern of PCr recovery and implications on the regulation of oxidative phosphorylation are discussed.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Exercise / physiology*
  • Humans
  • Hydrogen-Ion Concentration
  • Leg
  • Magnetic Resonance Spectroscopy
  • Models, Theoretical
  • Muscle, Skeletal / metabolism*
  • Phosphocreatine / analysis
  • Phosphocreatine / metabolism*
  • Time Factors

Substances

  • Phosphocreatine