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Biomechanics of the knee joint
Table of contents
• Biomechanical roles of the knee joint
complex
• Arthrokinematics of the knee
• Knee joint loading
• Soft tissue mechanics
Knee joint complex
Main biomechanical roles of the
knee joint complex
• To allow locomotion with
(a) minimum energy requirements from the
muscles
(b) stability, accommodating for different terrains.
• To transmit, absorb and redistribute forces
caused during the activities of daily life
Arthrokinematics of the knee
Knee joint• Ginglymus (hinge)
• Arthodial (pivot, gliding)
• 6 degrees of freedom
– 3 rotations
– 3 translations
Frontal axis
(varus-valgus
rotation)
Sagittal axis
(flexion-
Extension)
Transverse axis (interna-external rtation)
Rotation and translation in knee joint
• Rotation:
– flexion-extension: up to 160 deg of flexion
(up to -5 deg flexion – hyperextension)
– varus-valgus: 6-8 deg in extension
– internal-external rotation: 25-30 deg in flexion
• Translation:
– anterior-posterior: 5–10 mm
– compression: 2–5 mm
– medio-lateral: 1-2 mm
Centre of rotation for femur motion during
flexion-extension
(sagittal view)
Rolling Sliding Pure rotation
femur
tibia IC
Femoral condyles in flexion
Knee joint kinematics in the sagittal plane during gait.
a Extension: contact is located centrally. b Early flexion: posterior rolling; contact
continuously moves posteriorly. c Deep flexion: femoral sliding;
contact is located posteriorly; the unlocking of the ACL prevents further femoral roll back.
(
The irreducible mechanism of the knee (bones cut away to show
cruciate ligaments).
ACL
PCL
Screw-home during knee extension
During the last 20 degrees of knee extension
anterior tibial glide persists on the tibia's medial
condyle because its articular surface is longer in that
dimension than the lateral condyle's.
Prolonged anterior glide on the medial side produces
external tibial rotation, the "screw-home" mechanism.
LATERAL
Functional range of motion (ROM) at the knee
• Activities
◆Normal gait/level surfaces
◆Stair climbing
◆Sitting/rising from most
chairs
◆Sitting/rising from toilet seat
◆Advanced function
Knee flexion
60°
80°
90°
115º
> 115°
Diagrams showing the mean movement (mm) in each meniscus during flexion
(shaded) and extension (hashed). ANT, anterior; POST, posterior; mme, mean
meniscal excursion; P/A, ratio of posterior to anterior meniscal translation during
flexion.
Extension
Flexion
Knee joint loading
Tibiofemoral joint activities:
Flexion & compressive load
BW = body weight
Front
• Cycling 60-100 deg 1.2BW
• Walking 15 3.0
• Stairs 60 3.8
• Stairs 45 4.3
• Squat-rise 140 5.0
• Squat-down 140 5.6
VARUS NEUTRAL VALGUS
Function of the patella
• Largest sesamoid bone in the body
• Location: embedded in quadriceps tendon
• Function: to increase mechanical leverage of
the quadriceps
Laterally- lateral retinaculum, vastus lateralis m, iliotibial tract.
Medially- medial retinaculum and vastus medialis m.
Superior- Quadriceps via quadriceps
tendon.
Inferior- Patellar ligamentum
Forces acting on the patella:
Rising up from a chair. Assuming that 0.5 BW is transferred through each leg applied at the
foot, then its line of action is approximately 200 mm posterior to the joint centre; also, the PT
line of action is approximately 35 mm off the joint centre. Moment equilibrium requires PT ×
35 mm = 0.5 BW × 200 mm, which results in PT ≈ 3.0 BW. At 90° flexion it has been shown
that PT ≈ 70% Q, therefore Q ≈ 4.5 BW. Force equilibrium requires the triangle of forces
acting at each joint to be closed; this results in joint forces of PF ≈ 5.5 BW and TF ≈ 3.5 BW
(BW: body weight, PT: patellar tendon, Q: quadriceps muscle, PF: patellofemoral, TF:
Patellofemoral joint reaction forces
Patellar compression force
Activity
Walking
Force
850 N
% Body weight
1/2 x BW
Bike
Stair ascend
Stair descend
Jogging
850 N
1500 N
4000 N
5000 N
1/2 x BW
3.3 x BW 5 x
BW 7 x BW
Squatting 5000 N 7 x BW
 Squat exercise stressful to the knee complex, produces a
patellofemoral joint reaction force 7.6 times body weight.
 It one-half of body weight during normal walking,
increasing up to over three times body weight during
stair climbing.
Menisci
• Two functions:
– load bearing
– stability
• also, joint lubrication
• prevent capsule, synovial impingement
• shock absorbers
Menisci
Diagram demonstrates the importance of intact meniscal entheses
for the load distribution function of the meniscus. (A) With intact
enthesis the load (thick arrows) is transmitted via the menisci and articular
cartilage through a large contact area (left hand picture, small arrows).
Part of the load is transformed to hoop stresses (right hand picture, long
arrows). (B) When the insertional ligaments are transected, the menisci
will extrude from the knee joint during loading, and the load is mainly
transmitted via articular cartilage through a reduced contact area (small
Load-bearing function of the menisci
The load-bearing mode of the menisci. a Sagittal section: as the femur
compresses through the meniscus onto the tibia, it pushes the meniscus out
of the joint cavity; the meniscus deforms to conform with the femoral condyle
and allows for the contact to be distributed over a larger area. b Top view:
the meniscus increases its circumference and moves radially outwards and
posteriorly with knee flexion, following the rolling and sliding of the femoral
condyle with flexion.
Knee adduction moment and Compressive
loads during gait
The knee adduction moment is a result of the magnitude of
the ground reaction force (GRF) times the distance (i.e.
moment arm) from the center of rotation (GRF*LA). The
graph of the knee adduction moment during a gait cycle in a
patient with knee OA is characterized by an increase in the peak
and impulse (the area under the curve) of the moment.
Soft tissue mechanics
Schematic representation of the biomechanical
musculoskeletal knee model used to calculate knee joint
loads and muscle forces
(A) Knee compressive, and (B) Hamstring, (C) Quadriceps, and (D)
Gastrocnemius muscle forces of a complete stance phase of a typical
participant. Note: 1 body weight = 923.1 N (94.1 kg).
Force-length diagramm of ligaments and
tendons
Patellar Ligament
Figure 1 Schematic diagram illustrating the six degrees of motion of the human knee joint
Patellofemoral joint reaction forces
A biomechanical model for estimating moments of force at hip and knee joints in
the barbell squat
Ascending stairs
•The actual degree of knee flexion required to ascend stairs is
determined not only by the height of the step, but also by
the height of the patient.
•For the standard 7" step approximately
65° of flexion will be required.
•In climbing stair , lever arm can be reduced
by leaning forward. Also, in stair climbing the
tibia is maintained relatively vertical, which
diminishes the anterior
subluxation potential of the femur on the tibia.
Descending stairs
•In standard step 85° of flexion is required.
•The tibia is steeply inclined toward the
horizontal, bringing the tibial plateaus into
an oblique orientation.
•The force of body weight will now
tend to sublux the femur anteriorly.
This anterior subluxation potential will be
resisted by the patellofemoral joint reaction
force, and the tension which develops in the
posterior cruciate ligament.
Knee joint
• Knee provides mobility and support
during dynamic and static activities
• Support during weight bearing
• Mobility during non-weight bearing
• Involved with almost any functional
activity of the lower extremity
The knee joint in the frontal plane. a The Q-angle is defined as the angle between the line of action of the
patellar tendon, PT and the line of action of the resultant quadriceps muscles, Q. The Q-angle effect
results in a lateral force on the patella, L. b The quadriceps muscle force results from summing direction
and magnitude of the quadriceps components acting on the patella. The lines of action of each
component lie on the frontal plane, except for the obliquus muscles, which describe an angle with the
sagittal plane as well8 (RF: rectus femoris, VI: vastus intermedius, VML: vastus medialis longus, VMO:
vastus medialis obliquus, VLL: vastus lateralis longus, VLO: vastus lateralis obliquus).
Patellofemoral Joint Activities:
Flexion & Load
BW = body weight
• walking 10 deg 0.5BW
• leg raise 0 0.5
• stairs 60 3.3
• isometric 90 6.5
• squat 120 7.6
• jumping --- 20
• tendon rupture 90 25
Compressive force is additional force at
patellofemoral joint.
PF Compressive Force Function:
Stabilizes patella in trochlea groove.
Patella assures “some” compression in full
extension.
Patellofemoral compression with knee flexion during
weight bearing, because of as flexion increases, a
large amount of quadriceps tension is required to
prevent the knee from buckling against gravity.
Q-angle
The mean movement (mm) in each meniscus during flexion on a weight-bearing
knee.
The mean movement (mm) in each meniscus during flexion on a sitting non weight-
bearing knee.
Figure 2. Definition of axes used in the study. The transepicondylar line, as defined in
this study, is the line formed by the insertions of the lateral (LCL) and medial collateral
ligaments (MCL), respectively.
Patellofemoral joint reaction forces
Figure 8.8b
Synovial Joints: Knee –
Other Supporting Structures
Knee Injury
Patella as a
pulley
• a pulley changes the
direction of an applied
force
• the patella helps to
support the work of the
quadricep muscles
during the contraction of
the quadricep that allows
for extension of the knee
Muscles of the Leg
Questions

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Biomechanics of knee

  • 1. Biomechanics of the knee joint
  • 2. Table of contents • Biomechanical roles of the knee joint complex • Arthrokinematics of the knee • Knee joint loading • Soft tissue mechanics
  • 4. Main biomechanical roles of the knee joint complex • To allow locomotion with (a) minimum energy requirements from the muscles (b) stability, accommodating for different terrains. • To transmit, absorb and redistribute forces caused during the activities of daily life
  • 6. Knee joint• Ginglymus (hinge) • Arthodial (pivot, gliding) • 6 degrees of freedom – 3 rotations – 3 translations Frontal axis (varus-valgus rotation) Sagittal axis (flexion- Extension) Transverse axis (interna-external rtation)
  • 7. Rotation and translation in knee joint • Rotation: – flexion-extension: up to 160 deg of flexion (up to -5 deg flexion – hyperextension) – varus-valgus: 6-8 deg in extension – internal-external rotation: 25-30 deg in flexion • Translation: – anterior-posterior: 5–10 mm – compression: 2–5 mm – medio-lateral: 1-2 mm
  • 8. Centre of rotation for femur motion during flexion-extension (sagittal view) Rolling Sliding Pure rotation femur tibia IC
  • 10. Knee joint kinematics in the sagittal plane during gait. a Extension: contact is located centrally. b Early flexion: posterior rolling; contact continuously moves posteriorly. c Deep flexion: femoral sliding; contact is located posteriorly; the unlocking of the ACL prevents further femoral roll back. (
  • 11. The irreducible mechanism of the knee (bones cut away to show cruciate ligaments). ACL PCL
  • 12.
  • 13. Screw-home during knee extension During the last 20 degrees of knee extension anterior tibial glide persists on the tibia's medial condyle because its articular surface is longer in that dimension than the lateral condyle's. Prolonged anterior glide on the medial side produces external tibial rotation, the "screw-home" mechanism. LATERAL
  • 14. Functional range of motion (ROM) at the knee • Activities ◆Normal gait/level surfaces ◆Stair climbing ◆Sitting/rising from most chairs ◆Sitting/rising from toilet seat ◆Advanced function Knee flexion 60° 80° 90° 115º > 115°
  • 15. Diagrams showing the mean movement (mm) in each meniscus during flexion (shaded) and extension (hashed). ANT, anterior; POST, posterior; mme, mean meniscal excursion; P/A, ratio of posterior to anterior meniscal translation during flexion. Extension Flexion
  • 17. Tibiofemoral joint activities: Flexion & compressive load BW = body weight Front • Cycling 60-100 deg 1.2BW • Walking 15 3.0 • Stairs 60 3.8 • Stairs 45 4.3 • Squat-rise 140 5.0 • Squat-down 140 5.6
  • 19. Function of the patella • Largest sesamoid bone in the body • Location: embedded in quadriceps tendon • Function: to increase mechanical leverage of the quadriceps
  • 20. Laterally- lateral retinaculum, vastus lateralis m, iliotibial tract. Medially- medial retinaculum and vastus medialis m. Superior- Quadriceps via quadriceps tendon. Inferior- Patellar ligamentum Forces acting on the patella:
  • 21. Rising up from a chair. Assuming that 0.5 BW is transferred through each leg applied at the foot, then its line of action is approximately 200 mm posterior to the joint centre; also, the PT line of action is approximately 35 mm off the joint centre. Moment equilibrium requires PT × 35 mm = 0.5 BW × 200 mm, which results in PT ≈ 3.0 BW. At 90° flexion it has been shown that PT ≈ 70% Q, therefore Q ≈ 4.5 BW. Force equilibrium requires the triangle of forces acting at each joint to be closed; this results in joint forces of PF ≈ 5.5 BW and TF ≈ 3.5 BW (BW: body weight, PT: patellar tendon, Q: quadriceps muscle, PF: patellofemoral, TF:
  • 23. Patellar compression force Activity Walking Force 850 N % Body weight 1/2 x BW Bike Stair ascend Stair descend Jogging 850 N 1500 N 4000 N 5000 N 1/2 x BW 3.3 x BW 5 x BW 7 x BW Squatting 5000 N 7 x BW
  • 24.  Squat exercise stressful to the knee complex, produces a patellofemoral joint reaction force 7.6 times body weight.  It one-half of body weight during normal walking, increasing up to over three times body weight during stair climbing.
  • 25. Menisci • Two functions: – load bearing – stability • also, joint lubrication • prevent capsule, synovial impingement • shock absorbers
  • 27. Diagram demonstrates the importance of intact meniscal entheses for the load distribution function of the meniscus. (A) With intact enthesis the load (thick arrows) is transmitted via the menisci and articular cartilage through a large contact area (left hand picture, small arrows). Part of the load is transformed to hoop stresses (right hand picture, long arrows). (B) When the insertional ligaments are transected, the menisci will extrude from the knee joint during loading, and the load is mainly transmitted via articular cartilage through a reduced contact area (small
  • 29. The load-bearing mode of the menisci. a Sagittal section: as the femur compresses through the meniscus onto the tibia, it pushes the meniscus out of the joint cavity; the meniscus deforms to conform with the femoral condyle and allows for the contact to be distributed over a larger area. b Top view: the meniscus increases its circumference and moves radially outwards and posteriorly with knee flexion, following the rolling and sliding of the femoral condyle with flexion.
  • 30. Knee adduction moment and Compressive loads during gait
  • 31. The knee adduction moment is a result of the magnitude of the ground reaction force (GRF) times the distance (i.e. moment arm) from the center of rotation (GRF*LA). The graph of the knee adduction moment during a gait cycle in a patient with knee OA is characterized by an increase in the peak and impulse (the area under the curve) of the moment.
  • 32.
  • 34.
  • 35. Schematic representation of the biomechanical musculoskeletal knee model used to calculate knee joint loads and muscle forces
  • 36.
  • 37. (A) Knee compressive, and (B) Hamstring, (C) Quadriceps, and (D) Gastrocnemius muscle forces of a complete stance phase of a typical participant. Note: 1 body weight = 923.1 N (94.1 kg).
  • 38. Force-length diagramm of ligaments and tendons Patellar Ligament
  • 39. Figure 1 Schematic diagram illustrating the six degrees of motion of the human knee joint
  • 41. A biomechanical model for estimating moments of force at hip and knee joints in the barbell squat
  • 42.
  • 43. Ascending stairs •The actual degree of knee flexion required to ascend stairs is determined not only by the height of the step, but also by the height of the patient. •For the standard 7" step approximately 65° of flexion will be required. •In climbing stair , lever arm can be reduced by leaning forward. Also, in stair climbing the tibia is maintained relatively vertical, which diminishes the anterior subluxation potential of the femur on the tibia.
  • 44. Descending stairs •In standard step 85° of flexion is required. •The tibia is steeply inclined toward the horizontal, bringing the tibial plateaus into an oblique orientation. •The force of body weight will now tend to sublux the femur anteriorly. This anterior subluxation potential will be resisted by the patellofemoral joint reaction force, and the tension which develops in the posterior cruciate ligament.
  • 45. Knee joint • Knee provides mobility and support during dynamic and static activities • Support during weight bearing • Mobility during non-weight bearing • Involved with almost any functional activity of the lower extremity
  • 46. The knee joint in the frontal plane. a The Q-angle is defined as the angle between the line of action of the patellar tendon, PT and the line of action of the resultant quadriceps muscles, Q. The Q-angle effect results in a lateral force on the patella, L. b The quadriceps muscle force results from summing direction and magnitude of the quadriceps components acting on the patella. The lines of action of each component lie on the frontal plane, except for the obliquus muscles, which describe an angle with the sagittal plane as well8 (RF: rectus femoris, VI: vastus intermedius, VML: vastus medialis longus, VMO: vastus medialis obliquus, VLL: vastus lateralis longus, VLO: vastus lateralis obliquus).
  • 47. Patellofemoral Joint Activities: Flexion & Load BW = body weight • walking 10 deg 0.5BW • leg raise 0 0.5 • stairs 60 3.3 • isometric 90 6.5 • squat 120 7.6 • jumping --- 20 • tendon rupture 90 25
  • 48.
  • 49. Compressive force is additional force at patellofemoral joint. PF Compressive Force Function: Stabilizes patella in trochlea groove. Patella assures “some” compression in full extension. Patellofemoral compression with knee flexion during weight bearing, because of as flexion increases, a large amount of quadriceps tension is required to prevent the knee from buckling against gravity.
  • 51. The mean movement (mm) in each meniscus during flexion on a weight-bearing knee. The mean movement (mm) in each meniscus during flexion on a sitting non weight- bearing knee.
  • 52. Figure 2. Definition of axes used in the study. The transepicondylar line, as defined in this study, is the line formed by the insertions of the lateral (LCL) and medial collateral ligaments (MCL), respectively.
  • 54.
  • 55.
  • 56.
  • 57.
  • 58. Figure 8.8b Synovial Joints: Knee – Other Supporting Structures
  • 60. Patella as a pulley • a pulley changes the direction of an applied force • the patella helps to support the work of the quadricep muscles during the contraction of the quadricep that allows for extension of the knee