Modeling the length dependence of isometric force in human quadriceps muscles

Ramu Perumal, Anthony S. Wexler, Jun Ding, Stuart A. Binder-Macleod

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Functional electrical stimulation is used to restore movement and function of paralyzed muscles by activating skeletal muscle artificially. An accurate and predictive mathematical model can facilitate the design of stimulation patterns that produce the desired force. The present study is a first step in developing a mathematical model for non-isometric muscle contractions. The goals of this study were to: (1) identify how our isometric force model's parameters vary with changes in knee joint angle, (2) identify the best knee flexion angle to parameterize this model, and (3) validate the model by comparing experimental data to predictions in response to a wide range of stimulation frequencies and muscle lengths. Results showed that by parabolically varying one of the free parameters with knee joint angle and fixing the other parameters at the values identified at 40° of knee flexion, the model could predict the force responses to a wide range of stimulation frequencies and patterns at different muscle lengths. This work showed that the current isometric force model is capable of predicting the changes in skeletal muscle force at different muscle lengths.

Original languageEnglish (US)
Pages (from-to)919-930
Number of pages12
JournalJournal of Biomechanics
Volume35
Issue number7
DOIs
StatePublished - 2002

Fingerprint

Quadriceps Muscle
Muscle
Muscles
Theoretical Models
Knee Joint
Knee
Skeletal Muscle
Muscle Contraction
Electric Stimulation
Mathematical models

Keywords

  • Catch-like property
  • Frequency
  • Functional electrical stimulation

ASJC Scopus subject areas

  • Orthopedics and Sports Medicine

Cite this

Modeling the length dependence of isometric force in human quadriceps muscles. / Perumal, Ramu; Wexler, Anthony S.; Ding, Jun; Binder-Macleod, Stuart A.

In: Journal of Biomechanics, Vol. 35, No. 7, 2002, p. 919-930.

Research output: Contribution to journalArticle

Perumal, Ramu ; Wexler, Anthony S. ; Ding, Jun ; Binder-Macleod, Stuart A. / Modeling the length dependence of isometric force in human quadriceps muscles. In: Journal of Biomechanics. 2002 ; Vol. 35, No. 7. pp. 919-930.
@article{50cf83cb196e44a697d2cec05a656a23,
title = "Modeling the length dependence of isometric force in human quadriceps muscles",
abstract = "Functional electrical stimulation is used to restore movement and function of paralyzed muscles by activating skeletal muscle artificially. An accurate and predictive mathematical model can facilitate the design of stimulation patterns that produce the desired force. The present study is a first step in developing a mathematical model for non-isometric muscle contractions. The goals of this study were to: (1) identify how our isometric force model's parameters vary with changes in knee joint angle, (2) identify the best knee flexion angle to parameterize this model, and (3) validate the model by comparing experimental data to predictions in response to a wide range of stimulation frequencies and muscle lengths. Results showed that by parabolically varying one of the free parameters with knee joint angle and fixing the other parameters at the values identified at 40° of knee flexion, the model could predict the force responses to a wide range of stimulation frequencies and patterns at different muscle lengths. This work showed that the current isometric force model is capable of predicting the changes in skeletal muscle force at different muscle lengths.",
keywords = "Catch-like property, Frequency, Functional electrical stimulation",
author = "Ramu Perumal and Wexler, {Anthony S.} and Jun Ding and Binder-Macleod, {Stuart A.}",
year = "2002",
doi = "10.1016/S0021-9290(02)00049-0",
language = "English (US)",
volume = "35",
pages = "919--930",
journal = "Journal of Biomechanics",
issn = "0021-9290",
publisher = "Elsevier Limited",
number = "7",

}

TY - JOUR

T1 - Modeling the length dependence of isometric force in human quadriceps muscles

AU - Perumal, Ramu

AU - Wexler, Anthony S.

AU - Ding, Jun

AU - Binder-Macleod, Stuart A.

PY - 2002

Y1 - 2002

N2 - Functional electrical stimulation is used to restore movement and function of paralyzed muscles by activating skeletal muscle artificially. An accurate and predictive mathematical model can facilitate the design of stimulation patterns that produce the desired force. The present study is a first step in developing a mathematical model for non-isometric muscle contractions. The goals of this study were to: (1) identify how our isometric force model's parameters vary with changes in knee joint angle, (2) identify the best knee flexion angle to parameterize this model, and (3) validate the model by comparing experimental data to predictions in response to a wide range of stimulation frequencies and muscle lengths. Results showed that by parabolically varying one of the free parameters with knee joint angle and fixing the other parameters at the values identified at 40° of knee flexion, the model could predict the force responses to a wide range of stimulation frequencies and patterns at different muscle lengths. This work showed that the current isometric force model is capable of predicting the changes in skeletal muscle force at different muscle lengths.

AB - Functional electrical stimulation is used to restore movement and function of paralyzed muscles by activating skeletal muscle artificially. An accurate and predictive mathematical model can facilitate the design of stimulation patterns that produce the desired force. The present study is a first step in developing a mathematical model for non-isometric muscle contractions. The goals of this study were to: (1) identify how our isometric force model's parameters vary with changes in knee joint angle, (2) identify the best knee flexion angle to parameterize this model, and (3) validate the model by comparing experimental data to predictions in response to a wide range of stimulation frequencies and muscle lengths. Results showed that by parabolically varying one of the free parameters with knee joint angle and fixing the other parameters at the values identified at 40° of knee flexion, the model could predict the force responses to a wide range of stimulation frequencies and patterns at different muscle lengths. This work showed that the current isometric force model is capable of predicting the changes in skeletal muscle force at different muscle lengths.

KW - Catch-like property

KW - Frequency

KW - Functional electrical stimulation

UR - http://www.scopus.com/inward/record.url?scp=0036269416&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036269416&partnerID=8YFLogxK

U2 - 10.1016/S0021-9290(02)00049-0

DO - 10.1016/S0021-9290(02)00049-0

M3 - Article

C2 - 12052394

AN - SCOPUS:0036269416

VL - 35

SP - 919

EP - 930

JO - Journal of Biomechanics

JF - Journal of Biomechanics

SN - 0021-9290

IS - 7

ER -