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Applied biomechanics |
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| Updated:25/06/2005
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|skeletal
properties|Shoulder|stability1|2|wrist|hip|Knee|ankle|Foot|Spine|
|joint lubrication|
patello-femoral biomechanics|
Skeletal Tissue properties:
Bone: We have seen before that bone is uniquely structured to be lightweight and strong at the same time. This purposeful construction to efficiency is evident the more we look into it. Biomechanically, bone is akin to a biphasic composite structure, of organic and inorganic phases. Organic component gives it flexibility and the inroganic component provides rigidity. The composite structure is far stronger than the original constituents alone.
Microscopically bone is composed of cortical and cancellous bone. Cortical bone is stiffer than cancellous bone. Bone
behaves differently under different loading conditions. It is stronger
in compression than tension than shear. Different types of loading also
produces different types of fracture. Wolff's
Law: Bone is a living structure and adapts itself to its
suroundings and demands placed on it. This was elegantly described by Julian Wolff in 1892. In simple terms, bone grows in response to
mechanical stress. The law helps us understand how to encourage bone
remodelling and avoid bone stock loss. Bone
undergoes regular remodelling to recover from loading, but if the amount
of repeated loading is far above power of remodelling , then this
results in fatigue or stress fracture. Muscle
contraction is important to regulate bone loading. They can neutralise
tensile load and allow bone to carry increased load. Bone
behaviour is also influenced by its geometry. Bone response to bending
and torsion follows the same principle, so distribution of bone mass
away from the neutral axis is helpful. Bending moment is also influenced
by its length. The longer a bone, the more its bending moment and
resultant stress.
Cartilage: We would only consider Hyaline
cartilage which is the articular cartilage of concern. Hyaline
cartilage is present in synovial joint and is a very specialised tissue
well suited to the sustained loads. Its ability to absorb shock and
distribute high joint loads evenly across the joint results from
multiphasic structure of cartilage. The extracellular matrix of
cartilage can be thought of as a tri-phasic structure, composed of a
charged solid phase, a fluid phase and an ionic phase. Mechanical
behaviour of cartilage depends on the interaction between these three
phases. Solid phase consists of collagen fibres and aggrecan molecules-
responsible for tensile and compressive behaviour of cartilage. Fluid is
water, 30% within the intrafibrillar space. Water content is governed by
the fixed charge density (FCD) of proteoglycans (PG). FCD also
determines the collagen fibril diameter. PG is closely packed .Their
negative charge brings together electro-positive ions to maintain
electro-neutrality- the third phase of our multi-phasic structure. This
gives rise to the swelling pressure according to the Donnan osmotic
pressure law. The solid matrix and the fluid are both incompressible.
So, when cartilage is compressed fluid is exuded. But the flow of fluid
out of the tissues and the drag this creates on the solid phase
determines the compressive behaviour of cartilage. Articular
cartilage is also visco-elastic. This can be explained from the multi=phasic
interaction. Creep is due to fluid exudation and it ceases when fluid
loss increases the swelling pressure enough to counter the applied
external pressure. Stress relaxation is caused by fluid redistribution
within the extracellular matrix. Cartilage
also exhibits inhomogenecity and anisotropic behaviour. This is due to
varying collagen and PG concentration. Tendon/Ligament:
these are dense
connective tissue. They contain a lot of collagen fibrils but unlike
cartilage, they also have elastin which gives them different mechanical
properties. They show non-linear load deformation behaviour.
The toe region is due to "uncrimoing" of the
collagen fibrils- a lot of elasticity as they are unfurled. Then it
decreases to the linear region and as the fibrils start to fail we have
the yield region.
They are also visco-elastic and show creep, stress
relaxation and loading rate sensitivity.
As
the glenoid is rather shallow, we need additional supports to
keep the joint together. The role of glenoid labrum and gleno-humeral
ligaments is discussed in the power
point presentation. Glenoid labrum (GL) increases the depth of
glenoid by 50%. Superiorly the long head of Biceps is attached and it
can be disrupted here along with the GL in SLAP lesion. The
gleno-humeral ligaments (GHL) are condensations of the joint capsule but
provide good stability to the joint. Inferior GHL is the most important
and is the primary anterior stabiliser of the abducted shoulder. Movement
in the joint is mainly rotational, with little translation. It is
helpful to remember that movement at the shoulder is not isolated but
accompanied by movements at the scapulo-thoracic joints and the
spine. The clearest example is abduction. This
movement is accompanied from the start by lateral rotation of scapula,
produced by upper and lower fibres of trapezius and lower fibres of
serratus anterior. This places the glenoid cavity superiorly and allows
the humerus to be placed still higher. Shoulder abduction is a function
of supraspinatus and deltoid. There is also synergistic contraction of
teres minor (TM) and infraspinatus (IS). Isolated deltoid pull would
have pulled the humerus right against the acromion. This is prevented by
TM and IS contraction. They do not prevent abduction as they act along
the axis of abduction.
There is misconception that this
is a NON-weight bearing joint. Actually, when an object is held in hand
away from the elbow, significant joint reaction forces can develop at
the elbow joint. Because of poor mechanical leverage, joint forces are
high nearer extension and gets reduced in flexion. A
1 kg weight is held on the palm of the hand at a distance of 40 cm away
from centre of rotation (CoR) of elbow jt. Forearm weight of 20 N acts
15 cm away from CoR.Flexors pull on forearm 5 cm away from CoR. So, for
equilibrium: M=0, F=0 F×5-(40×10)-(20×15)=0
, F=140 N F-J-20N-10N=0,
J=110 N Elbow has a
carrying angle , more prominent in women to accommodate the broader
pelvis. This should taken into account when designing elbow
replacement prosthesis. Joint stability is shared equally
by bony and muscular factors. Anterior band of the medial collateral
ligament (MCL) is the primary stabiliser against valgus force . Radial
head acts as a secondary stabiliser. Ulno-humeral joint and LCL
provide equal stability to varus stress. Damage to LCL results in
posterolateral instability of the elbow.
Wrist joint: as the joint connecting hand to the forearm,
wrist is the key to hand function and its positioning in space. It is a
biaxial synovial joint. The concave distal radial ellipsoid articular
surface articulates with convex proximal carpal row. It has a short
radius for flexion/extension antero-posteriorly and long radius
transversely for ABduction/ADduction. These movements are accompanied by
movement at the intercarpal joints. 60% of wrist flexion and 40% of
extension occurs at the metacarpal joint. Rotation is not allowed
because of two different curvatures at right angles to each other.
Physiologically, isolated movements do not occur. Wrist extension is
accompanied by a degree of ADduction and flexion by ABduction. There
are two basic types of hand grip: power grip and precision grip. Power
grip involves flexion of digits and thumb to grasp object between palm
and digits. Whereas power grip involves the whole digit precision grip
emphasises the involvement of the digital pulp. Digits are flexed and
thumb is opposed and palmarly adducted. the Thumb opposition is an
important requirement of hand function. The saddle shaped CMC joint of
the thumb allows much wider movement than the other CMC joints. Along
with the thumb CMC joint, the CMC joints of the 4th and 5th ray
allow some movement. This is how we can cup our hands. The IP joints are
bicondylar hinge. They are vary stable and only allow movement in one
plane.
Wrist and hand function synergistically to increase mechanical
leverage. Wrist extension allows full finger flexion and flexion tenses
the digital extensor tendons and aids full finger extension. For a
strong grip wrist needs to be stable and slightly extended.
Hip
joint: this is a ball-socket joint. It is a very stable joint- at
the expense of some reduction in mobility. However, we still have
more movement than we need. To perform ADL , we need 1200 of
flexion and 200 of ER and ABduction. The load is transmitted
to the femoral head mainly via superior quadrant of the acetabulum.
Proximal femur has trabeculae oriented to help transmit load to
diaphysis. Normal neck-shaft angle is 1250. Lower and higher
angle gives rise to coxa-vara and valga respectively. Surface
motion is mainly gliding .This is tangential to the articular surface.
If there is any joint incongruity, then this is lost and random gliding
damages the articular cartilage. Hip
joint reaction force depends on the ratio of lever arm of abductor
muscle force and gravity. Because the centre of gravity lies
posterior to the joint axis, body weight also creates a bending moment ,
increased with hip flexion. Lever arm of
muscles are three times less than that of body weight leading to large
joint reaction force. In quiet normal standing the load on each hip is
equal to one-third of body weight . This increases with muscle
activation (eg. non- weight bearing) and reaches ten times the body
weight in running, jumping etc. Body weight lever arm can be reduced by
tilting the trunk over the supporting hip joint. People with weak
abductor and painful hip instinctively use this technique. Use
of a walking stick on the side opposite the painful hip can reduce
muscle activation and JRF.
Ankle joint: it is a hinge joint with
a changing axis of motion between DF and PF. Talus also rotates
during ankle motion. So, it is not a simple hinge. It is a very strong
joint and stability depends on bony and soft tissue factors. Bony
stability is provided by the shape of the ankle, built like a mortice.
This is more important when load bearing as the bony congruency provides
much of the stability. Fibula migrates inferiorly upto 1 mm during
loading to deepen the mortise and increase stability. Lateral ligament
complex resists INversion and IR. Anterior talo-fibular lig prevents
anterior talar displacement (commonest ligament to be injured) and IR of
talus. Posterior talo-fibular ligament limits ER of talus. Deltoid
resists ER and Eversion. It is the strongest of the ligaments and is key
to preventing lateral talar shift.
Ankle
joint has the largest load bearing surface. The joint is also subjected
to substantial shear and very large axial loading, many times the body
weight. Load is mainly carried by the tibia , with fibula transmitting
17% of the total load.
The foot:
powerpoint
presentation
Spine: the isolated spine is an unstable structure. It has a
critical buckling load of around 350N, roughly the weight of head and
upper torso. Yet the spine does not collapse, due to the stabilising
role of the spinal muscles.
Spinal ligaments are viscoelastic and loading rate sensitive. This
allows effortless spinal movement in physiological range but provides a
very rigid structure against high loading. Vertebral bodies
support the weight and gradually increase in bulk as we go down. They
are made of a thick cortical shell filled with cancellous bone. The
cancellous trabeculae are oriented in both vertical as well as
transverse directions to resist multi-directional compression.
Cancellous bone resists compressive load and cortical shell provides
stiffness against torsional and bending load. This composite structure
is best suited to keep weight at the minimum while resisting loads from
different directions. Intervertebral discs are composed of a
nucleus pulposus core enveloped by annulus fibres. Nucleus is mainly
water , with type II collagen. This allows the nucleus to act like a
hydrostatic buffer during loading- redistributing load more uniformly
and storing energy. Annulus has type I collagen. The fibres in annulus
are arranged in bands at alternative 300 orientation to the
end plate. Again the alternating arrangement of fibres allows annulus to
resist loading from all directions.
Denis described the three column concept to
describe stability of spinal injury. The posterior
column consists of the posterior ligamentous complex. The middle column
includes the posterior longitudinal ligament, posterior annulus fibrosus,
and posterior wall of the vertebral body. The anterior column consists
of the anterior vertebral body, anterior annulus fibrosus, and anterior
longitudinal ligament. An injury with two or more column involvement is
unstable.
The facet joints are part of the posterior column. They are load
bearing and could carry 1/3rd of total spinal load. Spinal movement in
each segment is guided by the orientation of the facet joints. Vertebrae
have six degrees of freedom of movement. All types of cervical motions
are allowed, thoracic segment allows flexion/extension, lateral flexion
and rotation ;lumbar motions are flexion/extension, lateral flexion but
hardly any rotation.
During
quiet standing the centre of gravity goes anterior to the vertebral
body, the spine is subject to a forward bending moment so the spinal
muscles are constantly active. Any forward bending would increase the
moment arm and increase load.
The joint is lined by wear
resistant hyaline cartilage and is bathed by synovial fluid. Unlike a
typical newtonian fluid synovial fluid has a viscosity that decreases
with increasing shear rate. The function of a lubricant is to provide an
intermediate layer with low shear resistance in between the two sliding
surfaces to reduce friction. A thixotropic fluid would fit the bill
perfectly. Basic lubrication is of two
types: fluid-film, boundary and mixed. Fluid
film : a thin fluid film separates the bearing surfaces. Of two types:
hydrodynamic and squeeze film. Hydrodynamic lubrication is unlikely to
be feasible in vivo as the sliding velocity of joints are too low to
generate a substantial fluid film. Squeeze film lubrication takes place
by the production of a fluid film under pressure as the two bearing
surfaces move perpendicularly towards each other. Fluid film and
resultant load bearing capacity depends on fluid viscosity. It could
explain lubrication under sudden loading but is not suitable for prolong
loading conditions. Boundary: the bearing
surfaces come to contact with each other, but "lubricin" from
synovial fluid is attached to the cartilage surface and offers an
interposed layer which when rubbed provides less resistance to shear. Mixed:
weeping lubrication: on load application synovial fluid is released or
"wept" from articular cartilage. It separates the two bearing
surfaces and reduces friction due to the hydrostatic pressure. On
unloading the fluid is squeezed back in. This mechanism is not dependent
on sliding speed . Boosted lubrication: is
almost the same as weeping type. As fluid is wept between cartilage
linings, the ultrafiltrate can move freely ioto cartilage , leaving a
concentrated gel of HA complex which reduces friction and helps to carry
the load.
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