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Table 1 Definition of symbols and acronyms

From: Predicting non-isometric fatigue induced by electrical stimulation pulse trains as a function of pulse duration

Term

Unit

Definition

A90

N ms-1

Scaling factor reflecting magnitude of force at 90°

a

deg-2

Defines parabolic shape of ankle force - knee angle relationship

αA

ms-2

Force scaling factor in fatigue model for force-motion model parameter A

αKm

ms-1N-1

Force scaling factor in fatigue model for force-motion model parameter Km

ατ1

N-1

Force scaling factor in fatigue model for force-motion model parameter τ1

b

deg-1

Defines parabolic shape of ankle force-knee angle relationship

βA

ms-1deg-1

Angular velocity x force scaling factor in fatigue model for force-motion model parameter A

βKm

deg-1N-1

Angular velocity x force scaling factor in fatigue model for force-motion model parameter Km

βτ1

ms deg-1N-1

Angular velocity x force scaling factor in fatigue model for force-motion model parameter τ1

CFT

-

Constant frequency train

CN

-

Normalized concentration of Ca2+-troponin complex

F

N

Instantaneous force near the ankle due to stimulation

Fload

N

Load applied at ankle during general non-isometric leg extensions

FM

N

Represents the resistance to knee extension due to the weight of the leg and all other passive resistance about the knee joint

TTI

N s

Torque Time Integral

I

kg m2

Net mass moment of inertia of the leg plus the applied load

Km

-

Similar to Michaelis-Menten constant. Affinity of actin strong binding site for myosin

L

m

Effective moment arm from knee joint center of rotation to resultant force vector near ankle

λ

deg

90° minus the knee flexion angle of the resting non-isometric leg

n

-

Number of stimuli in train before time t

R0

-

Characterizes the magnitude of enhancement in CN from the following stimuli

Ri

-

Accounts for differences in activation for each pulse relative to first pulse of train

SCI

-

Spinal Cord Injury

ti

ms

Time of the ith stimulation

τ1

ms

Time constant of force decline in the absence of strongly bound cross-bridges

τ2

ms

Time constant of force decline due to actin-myosin friction in cross-bridges

τc

ms

Time constant controlling the rise and decay of CN

τfat

ms

Time constant for force-motion model parameters A, Km1, and τ1 during fatigue

θ

deg

Knee flexion angle, where full extension was 0˚

V1

N deg-2

Scaling factor in the term G

V2

deg-1

Constant

VFT

-

Variable frequency train