title: Relevance of Damped Harmonic Oscillation for Modeling the Training Effects on Daily Physical Performance Capacity in Team Sport.
abstract: BACKGROUND
  Positive and negative effects of training induce apparent oscillations of performance, suggesting that the delayed cumulative effects of training on daily performance capacity (DPC) are best fitted by sine waves damped over time.
  
  
  OBJECTIVE
  To compare the criterion validity of the impulse-response (IR) model of Banister et al and the damped harmonic oscillation (DHO) model for quantifying the training load (TL)-DPC relationship.
  
  
  METHODS
  Six female professional volleyball players (20.8 ± 2.4 y) were monitored using the session rating of perceived exertion (sRPE) for 9 mo to quantify TL. Countermovement-jump (CMJ) and 4-step-approach-CMJ (4sCMJ) performances were recorded once a month. Parameters of models were determined by minimizing residual-sum squares between predicted and real performances with a nonlinear regression.
  
  
  RESULTS
  DPC was best fitted by the DHO model rather than the IR model (CMJ, R2= .80 ±.08 and.69 ±.20, respectively; 4sCMJ, R2= .86 ± .09 and .67 ± .29, respectively). The damping parameter θ and the period T were positively correlated with age (ρ = 0.81, P < .05, and ρ = 0.86, P < .02, respectively).
  
  
  CONCLUSIONS
  The DHO model is a useful tool for modeling DPC as the sum of the delayed DPCs from the consecutive training and recovery days. DPC could be considered the expression of the individual process of accumulation and dissipation of fatigue induced by training. DHO-model parameters were correlated with age, which prompts one to postulate that expertise has a major influence on DPC. The DHO model will help coaches develop a greater understanding of training effects and make monitoring of the training process more effective.
authors: Stéphane
authors: S
authors: Morin
authors: Saïd
authors: S
authors: Ahmaïdi
authors: Pierre-Marie
authors: PM
authors: Leprêtre
mesh_terms: D000367:Age Factors; D054874:Athletic Performance / Q000502:physiology*; D005260:Female; D006801:Humans; D016014:Linear Models; D008954:Models, Biological; D010465:Perception; D064797:Physical Conditioning, Human; D005082:Physical Exertion; D059385:Plyometric Exercise; D054798:Volleyball / Q000502:physiology; D055815:Young Adult
keywords: fitness; model; monitoring; training load