### Abstract

Although variability of anthropometric measures within a population is a well established phenomenon, most biomechanical models are based on average parameter values. For example, optimisation models for predicting muscle forces from net joint reaction moments typically use average muscle moment arms. However, understanding the distribution of musculoskeletal morbidity within a population requires information about the variation of tissue loads within the population. This study investigated the use of Monte Carlo simulation techniques to predict the statistical distribution of deltoid and rotator cuff muscle forces during static arm elevation. Muscle moment arms were modelled either as independent random variables or jointly distributed random variables. Moment arm data was collected on 22 cadaver specimens. The results demonstrated the use of Monte Carlo techniques to describe the statistical distribution of muscle forces. Although assuming statistically independent moment arms did affect the statistical distribution shape, that assumption did not affect the median predicted forces. The standard deviations of muscle forces predicted using Monte Carlo techniques were similar to the standard deviation of muscle force predictions using the whole sample of specimens. It is concluded that Monte Carlo simulation techniques are a useful tool to analyse the interindividual variability of rotator cuff muscle forces.

Original language | English (US) |
---|---|

Pages (from-to) | 544-548 |

Number of pages | 5 |

Journal | Medical & Biological Engineering & Computing |

Volume | 35 |

Issue number | 5 |

DOIs | |

State | Published - Sep 1997 |

### Fingerprint

### Keywords

- Biomechanics
- Computer simulation
- Modelling
- Monte Carlo
- Muscle force
- Rotator cuff
- Shoulder
- Variability

### ASJC Scopus subject areas

- Health Information Management
- Health Informatics
- Biomedical Engineering
- Computer Science Applications
- Computational Theory and Mathematics

### Cite this

*Medical & Biological Engineering & Computing*,

*35*(5), 544-548. https://doi.org/10.1007/BF02525538

**Monte Carlo simulation of a planar shoulder model.** / Hughes, R. E.; An, K. N.

Research output: Contribution to journal › Article

*Medical & Biological Engineering & Computing*, vol. 35, no. 5, pp. 544-548. https://doi.org/10.1007/BF02525538

}

TY - JOUR

T1 - Monte Carlo simulation of a planar shoulder model

AU - Hughes, R. E.

AU - An, K. N.

PY - 1997/9

Y1 - 1997/9

N2 - Although variability of anthropometric measures within a population is a well established phenomenon, most biomechanical models are based on average parameter values. For example, optimisation models for predicting muscle forces from net joint reaction moments typically use average muscle moment arms. However, understanding the distribution of musculoskeletal morbidity within a population requires information about the variation of tissue loads within the population. This study investigated the use of Monte Carlo simulation techniques to predict the statistical distribution of deltoid and rotator cuff muscle forces during static arm elevation. Muscle moment arms were modelled either as independent random variables or jointly distributed random variables. Moment arm data was collected on 22 cadaver specimens. The results demonstrated the use of Monte Carlo techniques to describe the statistical distribution of muscle forces. Although assuming statistically independent moment arms did affect the statistical distribution shape, that assumption did not affect the median predicted forces. The standard deviations of muscle forces predicted using Monte Carlo techniques were similar to the standard deviation of muscle force predictions using the whole sample of specimens. It is concluded that Monte Carlo simulation techniques are a useful tool to analyse the interindividual variability of rotator cuff muscle forces.

AB - Although variability of anthropometric measures within a population is a well established phenomenon, most biomechanical models are based on average parameter values. For example, optimisation models for predicting muscle forces from net joint reaction moments typically use average muscle moment arms. However, understanding the distribution of musculoskeletal morbidity within a population requires information about the variation of tissue loads within the population. This study investigated the use of Monte Carlo simulation techniques to predict the statistical distribution of deltoid and rotator cuff muscle forces during static arm elevation. Muscle moment arms were modelled either as independent random variables or jointly distributed random variables. Moment arm data was collected on 22 cadaver specimens. The results demonstrated the use of Monte Carlo techniques to describe the statistical distribution of muscle forces. Although assuming statistically independent moment arms did affect the statistical distribution shape, that assumption did not affect the median predicted forces. The standard deviations of muscle forces predicted using Monte Carlo techniques were similar to the standard deviation of muscle force predictions using the whole sample of specimens. It is concluded that Monte Carlo simulation techniques are a useful tool to analyse the interindividual variability of rotator cuff muscle forces.

KW - Biomechanics

KW - Computer simulation

KW - Modelling

KW - Monte Carlo

KW - Muscle force

KW - Rotator cuff

KW - Shoulder

KW - Variability

UR - http://www.scopus.com/inward/record.url?scp=0031237857&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031237857&partnerID=8YFLogxK

U2 - 10.1007/BF02525538

DO - 10.1007/BF02525538

M3 - Article

C2 - 9374062

AN - SCOPUS:0031237857

VL - 35

SP - 544

EP - 548

JO - Medical and Biological Engineering and Computing

JF - Medical and Biological Engineering and Computing

SN - 0140-0118

IS - 5

ER -