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Numerical calculation and study of differential equations of muscle movement velocity based on martial articulation body ligament tension

Zan Liu

Zan Liu

Department of Industrial Technology Application, Yantai Engineering and Technology CollegeYantai, China
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Liu, Zan
, 
Huiying Shao

Huiying Shao

Department of Economic Management, Yantai Engineering and Technology CollegeYantai, China
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Shao, Huiying
 et 
Dimah Alahmadi

Dimah Alahmadi

Department of Information Systems, Faculty of Computing and Information Technology, King Abdulaziz UniversityJeddah, Saudi Arabia
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Alahmadi, Dimah
  
15 déc. 2021
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Publié en ligne: 15 déc. 2021
Pages: 315 - 326
Reçu: 16 juin 2021
Accepté: 24 sept. 2021
DOI: https://doi.org/10.2478/amns.2021.1.00051
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© 2021 Zan Liu et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Numerical solution based on the Euler method.
Numerical solution based on the Euler method.

Fig. 2

Numerical solution based on the improved Euler method.
Numerical solution based on the improved Euler method.

Fig. 3

Comparison of the Euler method and modified Euler method.
Comparison of the Euler method and modified Euler method.

Fig. 4

Maximum tensile stress on PCL surface.
Maximum tensile stress on PCL surface.

Fig. 5

Intensity of each ligament at 60° flexion angle.
Intensity of each ligament at 60° flexion angle.

Fig. 6

Maximum equivalent stress of the femur.
Maximum equivalent stress of the femur.

Material properties of each ligament (/MPa)

Ligament Parameter
C3 C4 C5 C6 λ*
MCL/LCL 0.57 48.0 467.1 −485.37 1.063
ACL 0.0139 116.22 535.039 −556.75 1.046
PCL 0.1196 87.178 431.063 −443.74 1.035

Average change percentage of maximum deformation of each ligament

Meniscus transplantation fixation ACL/(%) PCL/(%) MCL/(%)
Pronation External rotation Pronation External rotation Pronation
Medial meniscus resection −6.1 −3 26.9 25.3 20.4
Double tunnel fixing 1.5 1.1 2.4 −3.9 1.8
Three tunnels fixing 7.2 8 −0.1 −4.3 −4.2

Selection results

Ligament Buckling angle
0° 25° 60° 80°
ACL 35 10 25 30
PCL 0 0 25 30
MCL 25 10 10 5
LCL 35 20 25 30
Langue:
Anglais
Périodicité:
1 fois par an
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Sciences de la vie, Sciences de la vie, autres, Mathématiques, Mathématiques appliquées, Mathématiques générales, Physique, Physique, autres
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