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Table 1 Definition of symbols used in the model.

From: Development of a mathematical model for predicting electrically elicited quadriceps femoris muscle forces during isovelocity knee joint motion

Symbol

Unit

Definition

C N

---

normalized amount of Ca2+-troponin complex

t

ms

time since the beginning of the stimulation

t i

ms

time when the i th pulse is delivered

Ï„ c

ms

time constant controlling the rise and decay of C N

R 0

----

term characterizing the magnitude of enhancement in C N from the following stimuli

F

N

instantaneous force due to stimulation

k s

N/m

spring stiffness

b

Ns/m

damping coefficient

V

m/s

shortening velocity of motor

A 40

N/ms

scaling factor for force at 40° of knee flexion

a

N/ms-deg2

scaling factor to account for force at each knee flexion angle

b

N/ms-deg

scaling factor to account for force at each knee flexion angle

θ

deg

knee flexion angle

H

Nm

resistance moment knee extension

l

m

distance between knee center of rotation and center of mass of leg

L

M

length of lever arm from center of force transducer to center of knee rotation

V 1

N/deg2

scaling factor in the term G(θ)

T STIM

Nm

knee joint torque due to stimulation

mg

N

weight of the tibia and foot

V 2

1/deg

constant that is linearly realted to Ï„2 (see Eqn. 20)

K m

---

sensitivity of strongly bound cross-bridges to C N

Ï„ 1

ms

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

Ï„ 2

ms

time constant of force decline due to the extra friction between actin and myosin resulting from the presence of strongly bound cross-bridges

M

N

resistance to knee extension

F EXT

N

experimental force measured by the KinCom dynamometer