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Power variation strategies for cycling time trials: A differential equation model

Pages 651-659 | Received 08 Oct 2010, Accepted 01 Jan 2012, Published online: 20 Feb 2012

References

  • Atkinson , G. and Brunskill , A. 2000 . Pacing strategies during a cycling time trial with simulated headwinds and tail winds . Ergonomics , 43 : 1449 – 1460 .
  • Atkinson , G. , Peacock , O. and Passfield , L. 2007 . Variable versus constant power strategies during cycling time-trials: Prediction of time savings using an up-to-date mathematical model . Journal of Sports Sciences , 25 : 1001 – 1009 .
  • Canley , P. , Passfield , L. , Carter , H. and Bailey , M. 2011 . The effect of variable gradients on pacing in cycling time-trials . International Journal of Sports Medicine , 32 : 132 – 136 .
  • Di Prampero , P. E. , Cortili , G. , Mognoni , P. and Saibene , F. 1979 . Equation of motion of a cyclist . Journal of Applied Physiology , 47 : 201 – 206 .
  • Foster , C. , Snyder , A. C. , Thompson , N. N. , Green , M. A. , Foley , M. and Schrager , M. 1993 . Effect of pacing strategy on cycle time trial performance . Medicine and Science in Sports and Exercise , 25 : 383 – 388 .
  • Gordon , S. 2005 . Optimising distribution of power during a cycling time trial . Sports Engineering , 8 : 81 – 90 .
  • Grappe , F. , Candau , R. , Belli , A. and Rouillon , J. D. 1997 . Aerodyanmic drag in field cycling with special reference to the Obree's position . Ergonomics , 40 : 1299 – 1311 .
  • Kyle , C. R. 1988 . “ The mechanics and aerodynamics of cycling ” . In Medical and scientific aspects of cycling , Edited by: Burke , E. R. and Newsome , M. M. 235 – 251 . Champaign , IL : Human Kinetics .
  • Liedl , M. A. , Swain , D. P. , Branch , J. D. , Bryant , T. L. , Cory , L. M. and Leete , D. S. 1999 . Physiological effects of constant vs. variable power during endurance cycling . Medicine and Science in Sports and Exercise , 31 : 1472 – 1477 .
  • Martin , J. C. , Gardner , A. S. , Barras , M. and Martin , D. T. 2006 . Modelling sprint cycling using field-derived parameters and forward integration . Medicine and Science in Sports and Exercise , 3 : 592 – 597 .
  • Martin , J. C. , Milliken , D. L. , Cobb , J. E. , McFadden , K. L. and Coggan , A. R. 1998 . Validation of a mathematical model for road cycling power . Journal of Applied Biomechanics , 14 : 276 – 291 .
  • Morton , R. H. 1985 . On a model of human bioenergetics . European Journal of Applied Physiology , 54 : 285 – 290 .
  • Morton , R. H. 1990 . Modelling human power and endurance . Journal of Mathematical Biology , 28 : 49 – 64 .
  • Morton , R. H. 2006 . The critical power and related whole-body bioenergetic models . European Journal of Applied Physiology , 96 : 339 – 354 .
  • Olds , T. S. , Norton , K. I. and Craig , N. P. 1993 . Mathematical model of cycling performance . Journal of Applied Physiology , 75 : 730 – 737 .
  • Olds , T. S. , Norton , K. I. , Lowe , E. L. , Olive , S. , Reay , F. and Ly , S. 1995 . Modeling road-cycling performance . Journal of Applied Physiology , 78 : 1596 – 1611 .
  • Palmer , G. S. , Hawley , J. A. , Dennis , S. C. and Noakes , T. D. 1994 . Heart rate responses during a 4-d cycle stage race . Medicine and Science in Sports and Exercise , 26 : 1278 – 1283 .
  • Robinson , S. , Robinson , D. L. , Mountjoy , R. J. and Bullard , R. W. 1958 . Influence of fatigue on the efficiency of men during exhausting runs . Journal of Applied Physiology , 12 : 197 – 201 .
  • Swain , D. P. 1997 . A model for optimizing cycling performance by varying power on hills and in wind . Medicine and Science in Sports and Exercise , 29 : 1104 – 1108 .
  • Tucker , R. and Noakes , T. D. 2009 . The physiological regulation of pacing strategy during exercise: A critical review . British Journal of Sports Medicine , 43 e1

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