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. 2011 Jun 22;6(6):e21290. doi: 10.1371/journal.pone.0021290

Table 1. Predictive methods, input variables and critical equations.

Method Variable name Methodology Input variables Critical equations
ACSM-walk ACSM Statistical Velocity (v), body mass (m), regression coefficients Inline graphic  =  (0.1v+0.0583)m
Force production EXT-FP Measured, calculated, statistical Body mass, velocity, ground contact time Inline graphic =  ƒ (vm/contact time)
CoM-GRF EXT-GRF Measured, calculated Ground reaction forces, body mass, acceleration (a) F = mav =  ∫a dtEnergy = mgh+0.5mv2External work  =  ∑ dEnergy (time)
CoM-sacrum-model EXT-MAT Simulated Velocity, body mass, segment lengths, angles x  =  ƒ (segment length, angles)v = dx/dtEnergy = mgh+0.5mv2External work  =  ∑ dEnergy (time)
CoM- sacrum-measured EXT-SAC Measured, calculated Motion of sacrum (x), body mass v =  dx/dtEnergy = mgh+0.5mv2External work =  ∑ dMEnergy (time)
Internal work INT-MAT Simulated Velocity, angular velocity (ω), segment lengths, angles, segment mass and moments of inertia (I) Energy  =  ∑ 0.5 (mv2 + Iω2)(of segments)Internal work  =  ∑ dEnergy (time)
Joint moments COMB-JM Measured, calculated Ground reaction forces (F), joint shape (r/R), motion of ankle, knee and hip joints Muscle force  =  r/R FPower  =  Muscle force * vCombined work  =  ∑ Power/time (of joints)
Model (int + ext work) COMB-MAT Simulated, calculated Internal (INT-MAT) and external (EXT-MAT) work Combined work  = internal +external work

Note that the ACSM method is a metabolic energy approach while others are mechanical energy approaches. The mechanical energy approaches are grouped into those the approximate external work (the energy required to move the body), internal work (the energy required to move the legs relative to the body) and combined work (external and internal work).