Muscle fatigue modelling: Solving for fatigue and recovery parameter values using fewer maximum effort assessments

Abstract A three-compartment controller model (3CC) predicts muscle fatigue development. Determination of fatigue (F) and recovery (R) model parameters is critical for model accuracy. Numerical methods can be used to determine parameter values using maximum voluntary contractions (MVCs) as input. We tested the effects of using reduced MVC data on parameter solutions using twenty published datasets of intermittent, isometric contractions. The work here examines three sampling variations using approximately half of the MVCs: MVC measurements distributed equally (dMVC), split between the initial and final times (sMVC), and only during the first half (fMVC). Furthermore, solved F and R parameters were used to model fatigue development for three hypothetical task scenarios. Both model parameters and predictions were statistically insensitive to measured data reduction using dMVC, followed closely by sMVC. However, using the fMVC reduction frequently resulted in overestimated parameter values and produced significantly larger prediction errors. We conclude that parameter solutions are robust when using fewer MVCs as long as they are sampled in a manner that captures later fatigue behavior.

[1]  L. F. Frey Law,et al.  A theoretical approach for modeling peripheral muscle fatigue and recovery. , 2008, Journal of biomechanics.

[2]  suffix,et al.  Optimisation-based identification of parameters in a mathematical model of muscle fatigue , 2019 .

[3]  B Bigland-Ritchie,et al.  Motor drive and metabolic responses during repeated submaximal contractions in humans. , 1988, Journal of applied physiology.

[4]  D. Altman,et al.  STATISTICAL METHODS FOR ASSESSING AGREEMENT BETWEEN TWO METHODS OF CLINICAL MEASUREMENT , 1986, The Lancet.

[5]  John M Looft,et al.  A three-compartment muscle fatigue model accurately predicts joint-specific maximum endurance times for sustained isometric tasks. , 2012, Journal of biomechanics.

[6]  Jing Z. Liu,et al.  A dynamical model of muscle activation, fatigue, and recovery. , 2001, Biophysical journal.

[7]  Paul Sacco,et al.  Short-interval cortical inhibition and corticomotor excitability with fatiguing hand exercise: a central adaptation to fatigue? , 2006, Experimental Brain Research.

[8]  E. Cady,et al.  A 31P study of fatigue and metabolism in human skeletal muscle with voluntary, intermittent contractions at different forces , 1990, NMR in biomedicine.

[9]  M. Jubeau,et al.  Biceps brachii muscle oxygenation in electrical muscle stimulation , 2010, Clinical physiology and functional imaging.

[10]  Jim R. Potvin,et al.  Predicting Maximum Acceptable Efforts for Repetitive Tasks , 2012, Hum. Factors.

[11]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[12]  Sean Gallagher,et al.  Musculoskeletal disorders as a fatigue failure process: evidence, implications and research needs , 2017, Ergonomics.

[13]  M. Jubeau,et al.  Comparison in muscle damage between maximal voluntary and electrically evoked isometric contractions of the elbow flexors , 2011, European Journal of Applied Physiology.

[14]  P. W. Humphreys,et al.  The blood flow through active and inactive muscles of the forearm during sustained hand‐grip contractions , 1963, The Journal of physiology.

[15]  N. Vøllestad,et al.  Mechanical behavior of skeletal muscle during intermittent voluntary isometric contractions in humans. , 1997, Journal of applied physiology.

[16]  Richard F. Sesek,et al.  An Upper Extremity Risk Assessment Tool Based on Material Fatigue Failure Theory: The Distal Upper Extremity Tool (DUET) , 2018, Hum. Factors.

[17]  S C Gandevia,et al.  Muscle performance, voluntary activation, twitch properties and perceived effort in normal subjects and patients with the chronic fatigue syndrome. , 1991, Brain : a journal of neurology.

[18]  J. Kent‐Braun,et al.  MRI measures of perfusion-related changes in human skeletal muscle during progressive contractions. , 2004, Journal of applied physiology.

[19]  G. Thickbroom,et al.  Paired-pulse rTMS at trans-synaptic intervals increases corticomotor excitability and reduces the rate of force loss during a fatiguing exercise of the hand , 2006, Experimental Brain Research.

[20]  Philip E. Gill,et al.  Practical optimization , 1981 .

[21]  J. Kent‐Braun,et al.  Age-related resistance to skeletal muscle fatigue is preserved during ischemia , 2007 .

[22]  D. Newham,et al.  Venous obstruction in healthy limbs: a model for chronic compartment syndrome? , 2003, Medicine and science in sports and exercise.

[23]  Kenneth Levenberg A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[24]  John M Looft,et al.  Modification of a three-compartment muscle fatigue model to predict peak torque decline during intermittent tasks. , 2018, Journal of biomechanics.

[25]  V. Armatas,et al.  Neuromuscular differences between men and prepubescent boys during a peak isometric knee extension intermittent fatigue test. , 2010, Pediatric exercise science.

[26]  R. Lamberts,et al.  Acute fatigue negatively affects risk factors for injury in trained but not well-trained habitually shod runners when running barefoot , 2017, European journal of sport science.

[27]  Mark Burnley,et al.  Estimation of critical torque using intermittent isometric maximal voluntary contractions of the quadriceps in humans. , 2009, Journal of applied physiology.

[28]  J. Kent‐Braun,et al.  Human skeletal muscle responses vary with age and gender during fatigue due to incremental isometric exercise. , 2002, Journal of applied physiology.

[29]  S. Green,et al.  Intensity-dependent effect of body tilt angle on calf muscle fatigue in humans , 2006, European Journal of Applied Physiology.

[30]  L. Frey-Law,et al.  Adapting a fatigue model for shoulder flexion fatigue: Enhancing recovery rate during intermittent rest intervals. , 2020, Journal of biomechanics.

[31]  J. Kent‐Braun,et al.  Effect of old age on human skeletal muscle force-velocity and fatigue properties. , 2011, Journal of applied physiology.

[32]  K. Avin,et al.  Endurance time is joint-specific: A modelling and meta-analysis investigation , 2010, Ergonomics.

[33]  B Bigland-Ritchie,et al.  Fatigue of submaximal static contractions. , 1986, Acta physiologica Scandinavica. Supplementum.