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


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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
25° 60° 80°
ACL 35 10 25 30
PCL 0 0 25 30
MCL 25 10 10 5
LCL 35 20 25 30
eISSN:
2444-8656
Idioma:
Inglés
Calendario de la edición:
Volume Open
Temas de la revista:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics