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Muscle Forces & Indices in Dogs: Studying Locomotion & Limb Injuries, Lecture notes of Anatomy

Details of a study aimed at determining muscle forces and architectural indices in dogs. The researchers identified and weighed various muscles in the right hind limb, calculated their PCSA (Physiological Cross-Sectional Area) and Architectural Indices (AI), and compared the results with humans and cats. The study served as a database for further research on hip joint reaction forces and muscle forces during the entire gait cycle. Understanding the physiology of locomotion in dogs and the mechanisms leading to hind limb injury was the ultimate goal.

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928 AJVR, Vol 62, No. 6, June 2001
Three-dimensional biomechanical analysis of the
hind limb requires knowledge of the magnitudes
and directions of all forces acting on the limb.1-13 These
forces include the joint reaction forces and moments
and the forces in all the muscles that surround the
joints of the limb. Forces transmitted by joints and
associated periarticular structures and muscle forces
are difficult to determine directly through in vivo mea-
surements.3-6,8,13 Therefore, an indirect approach is typ-
ically used to determine these forces and moments.
Such an approach is based on modeling the hind limb
as a system of rigid bodies connected at the joints.
Forces and moments acting on these bodies are then
determined by solving the equations governing their
equilibrium.
Formulating and solving these equations requires
some basic morphometric and anatomic data concern-
ing the physiologic cross-sectional area (PCSA),
architectural index (AI), and angle of pennation of
each muscle and the location of each muscle’s origin
and insertion. The PCSA of a muscle represents the
ratio of muscle volume to effective muscle fiber
length.14 It reflects the number of sarcomeres in paral-
lel in that muscle and is, therefore, proportional to the
amount of force the muscle can generate. The AI of a
muscle, on the other hand, reflects the number of sar-
comeres in series in that muscle and is, therefore, pro-
portional to the potential velocity of muscle contrac-
tion. Values for the PCSA of the muscles of the lower
limb in humans,6,14 the hind limb in cats,15 and the fore-
limb in chimpanzees16 have been published. To our
knowledge, however, information regarding the PCSA
of the muscles of the hind limb in dogs has not been.
Formulation of these equations of equilibrium also
requires knowledge of the direction of force in each
muscle and its moment arm around the joint on which
it has an effect. A common method of determining the
direction of force in a muscle is the straight line
model.5,7,9,17,18 This model assumes that the force gener-
ated by a muscle acts along the straight line that con-
nects the origin and insertion of that muscle. The
moment arm of a muscle about a joint is the vector
connecting the muscle’s point of insertion to the joint
center.1-5,7,9,10,13,18 Therefore, biomechanical analysis of
the hind limb requires information on the locations of
the origins and insertions of all muscles that affect the
joints of the hind limb, as well as the locations of all
joint centers.
The purpose of the study reported here was to
obtain the anatomic and morphometric data required
for biomechanical analysis of the hind limb in dogs.
This included determining the PCSA, AI, and angle of
pennation for all muscles of the hind limb, the coordi-
nates of the origins and insertions of those muscles,
and the coordinates of bony landmarks that would
allow determination of the locations of the centers of
the joints of the hind limb.
Materials and Methods
Morphometric variables—An adult mixed-breed 23-kg
male dog was used. The dog had been euthanatized at a local
pound because of dog population control regulations; it had
been healthy at the time of euthanasia. Immediately after the
dog was euthanatized, the skin and subcutaneous tissues of
the hindquarters were carefully removed. All muscles of the
right hind limb were identified and meticulously removed,
taking care to preserve all muscle tissue. Muscles that had
both their origin and insertion in the tibial-tarsal-metatarsal
unit were discarded, because the model used in this study
considered this unit to be rigidly connected, eliminating the
effect of these muscles. All tendinous tissue was discarded,
and muscles were weighed. The following muscles were eval-
uated: gluteus superficialis muscle, gluteus medius muscle,
gluteus profundus muscle, piriformis muscle, cranial portion
of the tensor fasciae latae muscle, caudal portion of the ten-
sor fasciae latae muscle, cranial portion of the sartorius mus-
cle, caudal portion of the sartorius muscle, rectus femoris
muscle, biceps femoris muscle, abductor cruris caudalis mus-
cle, semimembranosus muscle, semitendinosus muscle, gra-
cilis muscle, adductor longus muscle, adductor magnus et
brevis muscle, pectineus muscle, obturatorius internus mus-
cle, obturatorius externus muscle, gemelli muscle, quadratus
femoris muscle, articularis coxae muscle, iliopsoas muscle,
vastus lateralis muscle, vastus intermedius muscle, vastus
medialis muscle, popliteus muscle, extensor digitorum
longus muscle, medial head of the gastrocnemius muscle,
Received Apr 18, 2000.
Accepted Jun 26, 2000.
From the Section of Surgery, Koret School of Veterinary Medicine,
Hebrew University of Jerusalem, Jerusalem, Israel.
Morphometric and anatomic study
of the hind limb of a dog
Ron Shahar, DVM, and Joshua Milgram, DVM
Objective—To obtain the anatomic and morphomet-
ric data required for biomechanical analysis of the
hind limb in dogs.
Animals—A healthy adult mixed-breed 23-kg male
dog.
Procedure—Following euthanasia of the dog, all
muscles of the right hind limb were identified and
meticulously removed. Physiologic cross-sectional
areas (PCSA) and architectural indices (AI) were cal-
culated. The coordinates for the origin and insertion
of each muscle were determined, using orthogonal
right-handed coordinate systems embedded in the
pelvis, femur, and tibia.
Results—PCSA and AI were calculated for 29 mus-
cles, and coordinates for the origins and insertions of
these muscles were determined.
Conclusions—Results provide the morphometric
and anatomic data necessary for 3-dimensional bio-
mechanical studies of the hind limb in dogs. (
Am J
Vet Res
2001;62:928–933)
928-933.qxd 5/8/01 12:53 PM Page 928
pf3
pf4
pf5

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T

hree-dimensional biomechanical analysis of the

hind limb requires knowledge of the magnitudes

and directions of all forces acting on the limb.

1-

These

forces include the joint reaction forces and moments

and the forces in all the muscles that surround the

joints of the limb. Forces transmitted by joints and

associated periarticular structures and muscle forces

are difficult to determine directly through in vivo mea-

surements.

3-6,8,

Therefore, an indirect approach is typ-

ically used to determine these forces and moments.

Such an approach is based on modeling the hind limb

as a system of rigid bodies connected at the joints.

Forces and moments acting on these bodies are then

determined by solving the equations governing their

equilibrium.

Formulating and solving these equations requires

some basic morphometric and anatomic data concern-

ing the physiologic cross-sectional area (PCSA) ,

architectural index (AI) , and angle of pennation of

each muscle and the location of each muscle’s origin

and insertion. The PCSA of a muscle represents the

ratio of muscle volume to effective muscle fiber

length.

14

It reflects the number of sarcomeres in paral-

lel in that muscle and is, therefore, proportional to the

amount of force the muscle can generate. The AI of a

muscle, on the other hand, reflects the number of sar-

comeres in series in that muscle and is, therefore, pro-

portional to the potential velocity of muscle contrac-

tion. Values for the PCSA of the muscles of the lower

limb in humans,

6,

the hind limb in cats,

15

and the fore-

limb in chimpanzees

16

have been published. To our

knowledge, however, information regarding the PCSA

of the muscles of the hind limb in dogs has not been.

Formulation of these equations of equilibrium also

requires knowledge of the direction of force in each

muscle and its moment arm around the joint on which

it has an effect. A common method of determining the

direction of force in a muscle is the straight line

model.

5,7,9,17,

This model assumes that the force gener-

ated by a muscle acts along the straight line that con-

nects the origin and insertion of that muscle. The

moment arm of a muscle about a joint is the vector

connecting the muscle’s point of insertion to the joint

center.

1-5,7,9,10,13,

Therefore, biomechanical analysis of

the hind limb requires information on the locations of

the origins and insertions of all muscles that affect the

joints of the hind limb, as well as the locations of all

joint centers.

The purpose of the study reported here was to

obtain the anatomic and morphometric data required

for biomechanical analysis of the hind limb in dogs.

This included determining the PCSA, AI, and angle of

pennation for all muscles of the hind limb, the coordi-

nates of the origins and insertions of those muscles,

and the coordinates of bony landmarks that would

allow determination of the locations of the centers of

the joints of the hind limb.

Materials and Methods

Morphometric variables —An adult mixed-breed 23-kg

male dog was used. The dog had been euthanatized at a local

pound because of dog population control regulations; it had

been healthy at the time of euthanasia. Immediately after the

dog was euthanatized, the skin and subcutaneous tissues of

the hindquarters were carefully removed. All muscles of the

right hind limb were identified and meticulously removed,

taking care to preserve all muscle tissue. Muscles that had

both their origin and insertion in the tibial-tarsal-metatarsal

unit were discarded, because the model used in this study

considered this unit to be rigidly connected, eliminating the

effect of these muscles. All tendinous tissue was discarded,

and muscles were weighed. The following muscles were eval-

uated: gluteus superficialis muscle, gluteus medius muscle,

gluteus profundus muscle, piriformis muscle, cranial portion

of the tensor fasciae latae muscle, caudal portion of the ten-

sor fasciae latae muscle, cranial portion of the sartorius mus-

cle, caudal portion of the sartorius muscle, rectus femoris

muscle, biceps femoris muscle, abductor cruris caudalis mus-

cle, semimembranosus muscle, semitendinosus muscle, gra-

cilis muscle, adductor longus muscle, adductor magnus et

brevis muscle, pectineus muscle, obturatorius internus mus-

cle, obturatorius externus muscle, gemelli muscle, quadratus

femoris muscle, articularis coxae muscle, iliopsoas muscle,

vastus lateralis muscle, vastus intermedius muscle, vastus

medialis muscle, popliteus muscle, extensor digitorum

longus muscle, medial head of the gastrocnemius muscle,

Received Apr 18, 2000.

Accepted Jun 26, 2000.

From the Section of Surgery, Koret School of Veterinary Medicine,

Hebrew University of Jerusalem, Jerusalem, Israel.

Morphometric and anatomic study

of the hind limb of a dog

Ron Shahar, DVM, and Joshua Milgram, DVM

Objective —To obtain the anatomic and morphomet-

ric data required for biomechanical analysis of the

hind limb in dogs.

Animals —A healthy adult mixed-breed 23-kg male

dog.

Procedure —Following euthanasia of the dog, all

muscles of the right hind limb were identified and

meticulously removed. Physiologic cross-sectional

areas (PCSA) and architectural indices (AI) were cal-

culated. The coordinates for the origin and insertion

of each muscle were determined, using orthogonal

right-handed coordinate systems embedded in the

pelvis, femur, and tibia.

Results —PCSA and AI were calculated for 29 mus-

cles, and coordinates for the origins and insertions of

these muscles were determined.

Conclusions —Results provide the morphometric

and anatomic data necessary for 3-dimensional bio-

mechanical studies of the hind limb in dogs. (Am J

Vet Res 2001;62:928–933)

and lateral head of the gastrocnemius muscle. Because the

vastus lateralis and vastus intermedius muscles could not be

easily and consistently separated, they were considered a sin-

gle unit. The tensor fasciae latae and sartorius muscles were

separated into cranial and caudal parts. The gastrocnemius

muscle was considered as 2 separate muscles, because its 2

heads have distinct origins, although they have a common

insertion. Distal separation of the 2 heads was assisted by the

distinct fiber orientation of each head. Each muscle was

weighed with an electronic digital scale. Measurement preci-

sion was ± 0.01 g.

Total length of each muscle and its angle of pennation

were measured immediately after weighing. Each muscle was

placed on a flat dissection surface, and its length was mea-

sured with a flexible tape measure. Measurement precision

was ± 0.05 cm. Total length of the muscle was subjectively

defined as the overall distance between its tendinous attach-

ments.

19,

The angle of pennation for each muscle was evalu-

ated with a protractor. It varied between 0 and 18 o^ and was <

o

for most muscles. Because the angle of pennation becomes

a significant factor in the calculation of PCSA only for angles

o

16

these data were considered to be of minor importance

and were discarded.

Fiber length was determined as described.

15

Briefly, each

muscle was placed in neutral-buffered 10% formalin for 48 to

72 hours. It was then soaked in 0.4 M phosphate-buffered

saline solution, pH 7.2, for 24 to 48 hours and then placed in

20% sulfuric acid solution for 3 to 7 days until bundles of

fibers could be teased apart easily. A small bundle of fibers

was dissected from the muscle, using surgical forceps, and

the length of the bundle was measured with a flexible tape

measure. If fiber length appeared to be nonuniform, several

representative bundles were measured, and mean length was

calculated. Measurement precision was ± 0.05 cm.

The PCSA was calculated as (m • cos α)/(l • ρ), where

m is the muscle mass (g), α is the average angle of pennation

for the muscle fibers, l is the muscle fiber length (cm), and ρ

is the muscle tissue density. For this study, muscle tissue den-

Figure 1—Dorsal (top) and lateral (bottom) views of the pelvis of

a dog illustrating the right-handed orthogonal coordinate sys-

tem.

Figure 2—Cranial (top) and lateral (bottom) views of the right

femur of a dog illustrating the right-handed orthogonal coordi-

nate system.

coinciding with clinical directions (cranial-caudal, medial-

lateral, and ventral-dorsal).

25

These bony landmarks were

selected on the basis of ease of identification on radiographs

and were chosen so that the coordinates of muscle origins

and insertions in other dogs could be determined by means

of anthropometric scaling of data from radiographs.

26,

The origin of the pelvic coordinate system was set at the

center of the right acetabulum ( Fig 1 ). The Y p axis was par-

allel to a line connecting the pubic tubercle and the midpoint

between the right and left caudal ventral iliac spines and was

directed, therefore, in an approximately cranial direction.

The Zp axis was set perpendicular to the plane defined by the

left and right caudal ventral iliac spines and the pubic tuber-

cle and was directed in an approximately dorsal direction.

The X p axis was defined as the vector cross product of the Yp

and Z p axis and was directed in an approximately lateral

direction.

The origin of the femoral coordinate system was set at

the midpoint between the medial and lateral epicondyles of

the right femur ( Fig 2 ). The Z f axis was defined as the line

connecting the origin with the center of the femoral head and

approximated the direction of the femoral diaphysis. The

Yf axis was defined as the vector cross product of the Zf axis

and the line connecting the origin and the lateral epicondyle

and approximated the cranial direction. The X f axis was

defined as the vector cross product of the Yf and Zf axes and

approximated a lateral direction.

The origin of the tibial coordinate system was set at the

midpoint between the medial and lateral malleoli of the right

tibia ( Fig 3 ). The Z t axis was defined as the line connecting

the origin with the proximal end of the tibial tuberosity and

approximated the direction of the tibial diaphysis. The Y t axis

was defined as the vector cross product of the Zt axis and the

line connecting the origin and the lateral malleolus and

approximated the cranial direction. The X t axis was defined

as the vector cross product of the Yt and Zt axes and approx-

imated the lateral direction.

Results

Morphometric data were obtained for 29 muscles

( Table 1 ). For most muscles, fiber length was found to

Architectural index

Muscle Dog Humans 14 Cats^15

Gluteus superficialis 0.55 NR NR Gluteus medius 0.38 NR NR Gluteus profundus 0.14 NR NR Piriformis 0.35 NR NR Tensor fasciae latae, cranial part 0.22 NR NR Tensor fasciae latae, caudal part 0.83 NR NR Sartorius, cranial part 0.71 0.91 0. Sartorius, caudal part 0.75 0.91 0. Rectus femoris 0.18 0.21 0. Biceps femoris 0.36 0.50 0. Abductor cruris caudalis 0.74 NR NR Semimembranosus 0.81 0.23 0. Semitendinosus 0.68 0.50 0. Gracilis 0.66 0.83 0. Adductor longus 0.55 0.38 0. Adductor magnus et brevis 0.67 0.66 0. Pectineus 0.23 0.85 0. Obturatorius internus 0.31 NR NR Obturatorius externus 0.42 NR NR Gemelli 0.28 NR NR Quadratus femoris 0.63 NR NR Articularis coxae 0.76 NR NR Iliopsoas 0.39 NR NR Vastus lateralis and intermedius 0.37 0.21 0. Vastus medialis 0.22 0.21 0. Extensor digitorum longus 0.20 0.23 0. Gastrocnemius, medial head 0.12 0.15 0. Gastrocnemius, lateral head 0.09 0.23 0. Popliteus 0.21 0.26 NR

NR  Not reported.

Table 2—Architectural indices of the muscles of the right hind

limb in a dog and in humans and cats

Muscle Xp Yp Zp Xf Yf Zf Xt Yt Z (^) t

Gluteus superficialis 21.86 54.60 25.64 30.62 2.10 155.60 NA NA NA Gluteus medius 6.34 81.44 6.31 23.36 9.42 174.67 NA NA NA Gluteus profundus 6.35 50.40 5.41 29.32 2.37 167.30 NA NA NA Piriformis 8.98 29.06 13.36 23.36 9.42 174.67 NA NA NA Tensor fasciae latae, cranial part 3.87 70.83 14.24 11.50 18.39 10.65 NA NA NA Tensor fasciae latae, caudal part 3.87 70.83 14.24 19.04 4.010 136.87 NA NA NA Sartorius, cranial part 6.98 91.94 13.25 0.74 20.56 5.50 NA NA NA Sartorius, caudal part 9.20 84.14 19.09 NA NA NA 7.29 5.53 165. Rectus femoris 3.42 20.22 2.74 NA NA NA 0.51 4.25 183. Biceps femoris 11.92 29.97 37.81 NA NA NA 7.32 8.52 187. Abductor cruris caudalis 0.72 20.95 29.49 NA NA NA 0.21 3.87 72. Semimembranosus 4.51 44.80 32.71 9.00 3.69 15.16 NA NA NA Semitendinosus 15.19 33.64 34.02 NA NA NA 8.91 5.53 150. Gracilis 35.89 22.93 12.00 NA NA NA 8.32 5.41 158. Adductor longus 35.97 28.10 4.20 9.07 8.20 127.70 NA NA NA Adductor magnus et brevis 35.90 28.10 4.20 5.67 0.12 84.33 NA NA NA Pectineus 16.93 1.33 20.20 2.32 3.05 70.94 NA NA NA Obturatorius internus 6.49 8.33 26.01 13.85 10.40 155.92 NA NA NA Obturatorius externus 1.88 21.52 23.12 13.85 10.40 155.92 NA NA NA Gemelli 1.88 21.52 23.12 13.85 10.40 155.92 NA NA NA Quadratus femoris 2.60 38.30 26.61 8.71 11.77 138.75 NA NA NA Articularis coxae 1.39 17.89 7.81 2.42 0.73 156.31 NA NA NA Iliopsoas 1.53 33.18 4.77 2.34 12.94 146.06 NA NA NA Vastus lateralis and intermedius NA NA NA 17.59 3.56 152.49 0.39 1.05 179. Vastus medialis NA NA NA 0.48 3.29 145.11 0.51 4.25 183. Extensor digitorum longus NA NA NA 6.20 3.74 16.79 19.52 62.74 90. Gastrocnemius, medial head NA NA NA 17.70 0.08 0.18 11.86 27.72 5. Gastrocnemius, lateral head NA NA NA 17.48 1.10 1.79 11.86 27.72 5. Popliteus NA NA NA 13.71 6.42 12.64 1.99 30.46 166.

All measurements are given in millimeters. Xp, Y (^) p, and Zp  Pelvic bone coordinates. X (^) f, Y (^) f, and Zf  Femoral bone coordinates. X (^) t, Y (^) t, and Zt  Tibial bone coordinates. NA  Not applicable.

Table 3—Coordinates of the origins and insertions of the muscles of the right hind limb in a dog

be uniform. The AI for muscles of this dog were com-

pared with AI reported for humans and cats ( Table 2 ).

Coordinates of the origins and insertions of these 29

muscles were also determined ( Table 3 ), along with

coordinates of landmarks on the pelvis ( Table 4 ),

femur ( Table 5 ), and tibia ( Table 6 ).

Discussion

In 1981, Dostal and Andrews published a

3-dimensional geometric model of the human hip

musculature.

7

These results served as a database for

studies that determined hip joint reaction forces and

forces in the muscles surrounding the hip during the

entire gait cycle.

5,

They have also been used in a vari-

ety of biomechanical investigations of the human

lower limb, including calculation of stresses in the

femur during 1-legged stance, calculation of the inter-

nal forces and moments in the femur during walking,

evaluation of the muscle forces involved in the trans-

fer of spinal load to the pelvis and legs, and evaluation

of loads transferred across the pelvic bone.

28-

It is

hoped that results of the present study will serve as a

similar database for biomechanical studies of the hind

limb in dogs.

To our knowledge, only 1 biomechanical analysis

of the forces acting around the hip joint in dogs has

been published.

34

Authors of that study, however, ana-

lyzed a simple 2-dimensional model that considered

only 1 muscle, and results, therefore, are relatively

inaccurate. The present study was intended to provide

a comprehensive database of information required for

3-dimensional biomechanical analyses of the hind limb

in dogs. Results of such analyses will help us better

understand the physiology of locomotion in dogs and

the mechanisms leading to hind limb injury.

The first part of this study involved collection of

morphometric data for the muscles of the hind limb. It

is difficult to measure muscle forces in vivo because of

technical, biological, and ethical problems. Therefore,

methods have been developed to estimate them. Most

methods used to estimate muscle forces are based on

the assumption that a muscle’s ability to generate force

is in some way related to its size. The exact nature of

this relationship is not known; however, the concept of

PCSA represents a widely accepted first approximation

of this relationship.

6,10,13,

The accepted method for calculating PCSA uses

the ratio of muscle volume to mean muscle fiber

length. This is a very tedious method and is not practi-

cal for collection of data from a large number of cadav-

ers.

35

For this reason, most published biomechanical

models of the human lower leg used PCSA obtained

from the dissection of only 2 or 3 cadavers.

6,

In the

present study, calculations were performed with data

from only a single cadaver. However, we believe that

these values still provide useful information about the

hind limbs of dogs.

For most muscles, the AI (ie, the ratio between

muscle fiber length and total muscle length) in this dog

was similar to the AI reported for cats and humans.

14,

Notable exceptions were the semimembranosus mus-

cle, for which the AI in humans was much less than the

AI in the dog and in cats, and the pectineus muscle, for

which the AI in the dog was much less than the AI in

cats and humans. No obvious reasons could be found

for these differences, and they were attributed to indi-

vidual variations in the specimens used.

The physiologic relationship between muscle size

and muscle force is poorly understood at this time. For

instance, PCSA is used as an estimate of a muscle’s abil-

ity to generate force, but calculation of the PCSA does

not take into account the presence of different fiber

types in the muscle. Similarly, angle of pennation is

only partly taken into account. The angle of pennation

is defined as the angle formed between individual mus-

cle fibers and the line of force exerted by the muscle.

The PCSA of a muscle is dependent on this angle; how-

ever, the angle of pennation has a significant effect on

PCSA only for muscles with angles of pennation > 20

o

because the cosine of angles < 20

o

is > 0.94, and mul-

tiplication by this factor does not substantially alter the

result.

16

Because all muscles examined in the present

study were found to have angles of pennation < 20

o

and most had angles < 5

o

, angles of pennation were

ignored in the calculation of PCSA in this study.

Bony landmark X (^) p Yp Zp

Pubic tubercle 40.55 14.08 23. Right cranial dorsal iliac spine 7.27 91.59 21. Left cranial dorsal iliac spine 74.13 90.25 22. Right cranial ventral iliac spine 7.663 84.17 23. Left cranial ventral iliac spine 88.98 86.00 23. Right caudal dorsal iliac spine 14.63 55.16 19. Left caudal dorsal iliac spine 68.97 56.66 19. Left ischiatic tuberosity 92.30 30.83 37. Center of left acetabulum 79.93 0.50 0. Center of right acetabulum 0 0 0 Center of sacrum 39.97 73.38 0.

See Table 3 for key.

Table 4—Coordinates of prominent bony landmarks on the pelvis

of a dog

Bony landmark X (^) f Yf Zf

Origin of cranial cruciate ligament 0.23 7.37 9. Origin of caudal cruciate ligament 7.20 8.03 9. Center of patella 1.99 10.35 14. Center of femoral head 0.02 0.66 167. Center of knee joint 3.71 6.90 16. Midpoint between medial and lateral epicondyles 0 0 0

See Table 3 for key.

Table 5—Coordinates of prominent bony landmarks on the right

femur of a dog

Bony landmark X (^) t Yt Zt

Insertion of cranial cruciate ligament 4.18 18.99 187. Insertion of caudal cruciate ligament 5.25 35.89 180. Lateral malleolus 15.90 0.78 1. Medial malleolus 15.90 0.78 1. Lateral condyle 24.77 29.93 178. Medial condyle 15.09 36.37 184. Center of knee joint 4.71 27.44 184. Center of metatarsal pad 17.14 93.53 66. Midpoint between medial and lateral malleoli 0 0 0

See Table 3 for key.

Table 6—Coordinates of prominent bony landmarks on the right

tibia of a dog