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Stress Trajectories of Force
INDIAN DENTAL ACADEMY
Leader in continuing Dental Education
www.indiandentalacademy.com
Stress trajectories
History
 Galileo (1638) & Monro(1776)
 Mechanical implications of bone shape
 Andre (1741)
 Deformation could govern bone shape and that shape
could be changed through the application of mechanical
forces
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Julius Wolff –
 “ Das Gesetz der Transformation der Knochen ”i.e.,
“The law of bone transformation”
 Wolff’s law-
Bony trabeculae – delicate lace in
accordance to stress trajectories
In 1986, Maquet &Furlong
 “The law of bone remodelling”
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Das Gesetz der Transformation der Knochen
 Epoch making book
 Researchers – form & function relation – not accurate
 Inadequate understanding of histology & physiology
Wilhelm Roux
 Uncovered the foundations of form-function interaction
 In 1881, “Der Kampf der Theile im Organismus”
I.e.,(The struggle of the components with in organisms)
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The origin of Wolff’s law
In 1853, Meyer
 Mechanics of the human skeleton
• Drawings
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In 1860, Meyer –
 C.S of long bones
 Trajectories cross at right angles
Cullmann -
 Method of drawing trajectories
Wolf –
 Added a crane type schema
 Form –Trab organisation of bones involved the arrangement
of minm material to withstand maxm load
 Law of orthogonality – definite mechanical mathematical laws
 Interpritation of function was biased
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“Function can influence the overall pattern and
relationship of the structures”.
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Wolff’s biases –
 His theory on interstitial bone growth
 Role of heredity
 Concept of function
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Interstitial bone growth-
 Similar to soft tissue growth
 Wolff’s statement-
• Each and every particle [of a bone]contributes
proportionally to the enlargement
 Wegner & Koelliker –1872
• Remodelling
• Wegner’s statement
 Wolff –1875
• Wegner’s expt – not fundamental
 Baehr -1898
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Interstitial bone growth-
 Hunter & Fluorens
 Wolff –
 Carried the incorrect notion
 Remodeling – absent
 Expts
 His view – Trab architecture was not the result of
dynamic process, but was preexisting in the
compacta
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Heredity –
 Trab –already existed in the compacta
 Predesigned structure
 Statements –1870
 The initial architectonic configuration of bone is not the
result of static influences…but is preformed & inherited
from the parents
 The appropriate architecture under normal conditions will
develop during the intrauterine period and is explained by
heredity
 No dynamic interaction during development
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Function –
 Static requirement/constraints to be met as in
engineering…(metaphors)
 Good design above good repair capabilities
 Roux –
• Loading & Unloading generated information for the
developing bone
 Function –static role of bone .i.e.,support of body
weight
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Function-
Function –static role of bone .i.e.,support of body weight
A year before the book –
 “The form of bone is exclusively determined by the
static load which it has to match, or- what is identical –
by its function”
Form – prerequisite for functioning
Ideal or normal form was defined by nature
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Wolff & Roux
 1885, Roux
 Functional stimulus shaped bone
 Ex ; thickened fibula
 Joint venture faltered
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Conclusion
 Author has won the battle against time
 His law is an accepted phenomenon
 The fact that he was wrong on all the biological
aspects concerning his law appears to be minor
concern
 Roux only remembered in the historical section of a
good library
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Subsequent Research
 Both Tension & Pressure - Loss of bone
tissue
 Trabeculae cross at varying angles
 Irregular & wavy
 Vary from bone to bone
 Function - Density
 Function - Density
 Ex ; Milwaukee Brace
 Tooth c no opp Tooth
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Stress Trajectories of Force
Benninghoff made an exhaustive study of
the architecture of the cranial &facial
skeleton and so called “Stress Trajectories”
or “Lines of force” evolved.
www.indiandentalacademy.com
Benninghof –
 Traj/Lines of Forces-
• Involve both compact & spongy bone
• In response to – local function
-epigenetic influences
• Obeyed no individual bone limits
• But rather demands of functional forces
• Head –2 Bones –Craniofacial skeleton
Mandible
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3 main vertical pillars of stress trajectories
can be seen in the nasomaxillary region.
a.Canine pillar
b. Zygomatic pillar.
c.Pterygoid pillar
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The Mandible
Trabecular
columns
radiate –
terminate in
mand condyle
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The Basic structure is designed to
meet the demands of a lifetime of
varied Functional activity
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Clinical Implications of Growth
& Development
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Importance of knowing Growth & development
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Adolescent Growth Spurt
 Adolescence
 Imp period in dental & orthodontic treatment
 2 years earlier in girls
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Timing of puberty-
 Seasonal & Cultural factors
 Genetic & Environmental influences
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For the 3 planes of space in both maxilla &
mandible – Definite sequence of growth
completion
 WIDTH
 LENGTH
 HEIGHT
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Usually completed at the time of adolescent
growth spurt.
Narrow skeletal width --- Narrow palatal vault
Narrow dental arch
Cross bite
Transverse Growth of Maxilla
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Cross bite
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Expansion across the suture – 2 ways
Rapid
Slow
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.
.
1. Nasomaxillary Suture
2. Frontomaxillary Suture
3. Zygomaticomaxillary Suture
4. Lacrimomaxillary Suture
5. Ethmoidomaxillary Suture
6. Vomeromaxillary Suture
Circummaxillary sutures
www.indiandentalacademy.com
Structure of the suture at different ages:
Infancy
Juvenile
Adulthoodwww.indiandentalacademy.com
R M E
• More skeletal changes
• Less dental changes
• Not used in preschool children
• 0.5-1mm/day
• 10-20 pounds
• Occlusal radiographs
• Clinical examination
• 3-4 months of retention
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Haas expander
Hyrax expander
Minn expander
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Activation of RME.
Upto 15yrs of age 1800
(2 turns daily)
15-20yrs. of age 1800
(4 turns daily)
Over 20yrs. 900
(2 turns daily)
www.indiandentalacademy.com
How much to Expand?
Palatal cusps of upper maxillary teeth
should occlude with the lingual inclines of
the buccal cusps of the lower mandibular
teeth.
www.indiandentalacademy.com
Effects of RME:-
-Midpalatal suture opens anteroinferiorly.
-Midline diastema.
-Buccal flaring of posteriors.
www.indiandentalacademy.com
R M E
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Frontal View
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Ideal patients for RME treatment.
 Full cusp cross bite with a skeletal
component
 Some degree of dental as well as skeletal
constriction initially
 No pre-existing dental expansion.
www.indiandentalacademy.com
Nasal hump & paranasal swelling.
Pain.
Buccal tipping of posteriors.
Root resorption.
Fenestration of roots
Adverse effects of RME:-
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Undesirable changes in the nose due to RME
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Root exposure due to RME
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Slow expansion
 Less force
 1mm/week
 Reduced tissue damage
 Reduced hemorrhage
 2-4 pounds of force
 More physiologic response
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Dental cross bites are corrected by
-Quad helix
-W arch
-Arch wire
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Skeletal & Dental changes in Expansion
Rapid Slow
www.indiandentalacademy.com
Anteroposterior growth of maxilla.
Maxillary excess:-For restriction of
maxillary growth in growing individuals
appliances like
1.Headgear
2.Functional appliances
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Functional Appliances
They are of two types:-
-Removable
-Fixed Appliances.
www.indiandentalacademy.com
Activator Bionator
Twin Block
www.indiandentalacademy.com
Fixed Appliances:-
Herbst Appliance
Jasper Jumper
www.indiandentalacademy.com
Cervical head gear:
used in patients with horizontal growth
pattern with reduced lower facial height.
www.indiandentalacademy.com
Occipital pull Head gear:-
Used in long face patients
with high mandibular
plane angle.
www.indiandentalacademy.com
Dental camouflage can be done for mild to
moderate skeletal problems.
For adult patients where growth is no longer
present surgical correction should be done.
www.indiandentalacademy.com
3 major possibilities for correcting mandibular
defficiency
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Maxillary Deficiency:-Growth
modulation in sagittal plane can be
done by
1.face mask
2.reverse functional appliances.
www.indiandentalacademy.com
Effects of forward traction of maxilla
www.indiandentalacademy.com
Face mask Therapy
Delaire Facemask
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Face mask Therapy
Petit Face mask
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Mandibular excess
www.indiandentalacademy.com
Chin cup therapy
www.indiandentalacademy.com
Twin Block
Reverse Functional appliances:
Functional Regulator
www.indiandentalacademy.com
Vertical excess of maxilla can be controlled
by inhibiting the descent of maxilla and
eruption of posterior teeth.
Vertical growth of maxilla
www.indiandentalacademy.com
Frequent respiratory Nasal Septal Contracted
Swollen Nasal
Mucosa Reduced Nasal Decrease in
Enlarged breathing Nasal width
adenoids
Mouth breathing
Lowered Extended
tongue position head posture
Lowered Mandibular
Posture
infection deviation Maxillary arch
www.indiandentalacademy.com
www.indiandentalacademy.com
-Highpull headgear to a maxillary splint
www.indiandentalacademy.com
Magnetic splints for intrusion of posterior teeth
www.indiandentalacademy.com
Functional appliance with increased
height of the bite blocks
www.indiandentalacademy.com
Highpull headgear to a functional appliance.
www.indiandentalacademy.com
Cleft lip & palate
Infant orthopedics
Late primary & early mixed dentition
treatment
Early permanent dentition treatment
Orthognathic surgery
www.indiandentalacademy.com
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Stress trajectories /prosthodontic courses

  • 1. Stress Trajectories of Force INDIAN DENTAL ACADEMY Leader in continuing Dental Education www.indiandentalacademy.com
  • 2. Stress trajectories History  Galileo (1638) & Monro(1776)  Mechanical implications of bone shape  Andre (1741)  Deformation could govern bone shape and that shape could be changed through the application of mechanical forces www.indiandentalacademy.com
  • 3. Julius Wolff –  “ Das Gesetz der Transformation der Knochen ”i.e., “The law of bone transformation”  Wolff’s law- Bony trabeculae – delicate lace in accordance to stress trajectories In 1986, Maquet &Furlong  “The law of bone remodelling” www.indiandentalacademy.com
  • 4. Das Gesetz der Transformation der Knochen  Epoch making book  Researchers – form & function relation – not accurate  Inadequate understanding of histology & physiology Wilhelm Roux  Uncovered the foundations of form-function interaction  In 1881, “Der Kampf der Theile im Organismus” I.e.,(The struggle of the components with in organisms) www.indiandentalacademy.com
  • 5. The origin of Wolff’s law In 1853, Meyer  Mechanics of the human skeleton • Drawings www.indiandentalacademy.com
  • 7. In 1860, Meyer –  C.S of long bones  Trajectories cross at right angles Cullmann -  Method of drawing trajectories Wolf –  Added a crane type schema  Form –Trab organisation of bones involved the arrangement of minm material to withstand maxm load  Law of orthogonality – definite mechanical mathematical laws  Interpritation of function was biased www.indiandentalacademy.com
  • 9. “Function can influence the overall pattern and relationship of the structures”. www.indiandentalacademy.com
  • 10. Wolff’s biases –  His theory on interstitial bone growth  Role of heredity  Concept of function www.indiandentalacademy.com
  • 11. Interstitial bone growth-  Similar to soft tissue growth  Wolff’s statement- • Each and every particle [of a bone]contributes proportionally to the enlargement  Wegner & Koelliker –1872 • Remodelling • Wegner’s statement  Wolff –1875 • Wegner’s expt – not fundamental  Baehr -1898 www.indiandentalacademy.com
  • 12. Interstitial bone growth-  Hunter & Fluorens  Wolff –  Carried the incorrect notion  Remodeling – absent  Expts  His view – Trab architecture was not the result of dynamic process, but was preexisting in the compacta www.indiandentalacademy.com
  • 13. Heredity –  Trab –already existed in the compacta  Predesigned structure  Statements –1870  The initial architectonic configuration of bone is not the result of static influences…but is preformed & inherited from the parents  The appropriate architecture under normal conditions will develop during the intrauterine period and is explained by heredity  No dynamic interaction during development www.indiandentalacademy.com
  • 14. Function –  Static requirement/constraints to be met as in engineering…(metaphors)  Good design above good repair capabilities  Roux – • Loading & Unloading generated information for the developing bone  Function –static role of bone .i.e.,support of body weight www.indiandentalacademy.com
  • 15. Function- Function –static role of bone .i.e.,support of body weight A year before the book –  “The form of bone is exclusively determined by the static load which it has to match, or- what is identical – by its function” Form – prerequisite for functioning Ideal or normal form was defined by nature www.indiandentalacademy.com
  • 16. Wolff & Roux  1885, Roux  Functional stimulus shaped bone  Ex ; thickened fibula  Joint venture faltered www.indiandentalacademy.com
  • 17. Conclusion  Author has won the battle against time  His law is an accepted phenomenon  The fact that he was wrong on all the biological aspects concerning his law appears to be minor concern  Roux only remembered in the historical section of a good library www.indiandentalacademy.com
  • 18. Subsequent Research  Both Tension & Pressure - Loss of bone tissue  Trabeculae cross at varying angles  Irregular & wavy  Vary from bone to bone  Function - Density  Function - Density  Ex ; Milwaukee Brace  Tooth c no opp Tooth www.indiandentalacademy.com
  • 19. Stress Trajectories of Force Benninghoff made an exhaustive study of the architecture of the cranial &facial skeleton and so called “Stress Trajectories” or “Lines of force” evolved. www.indiandentalacademy.com
  • 20. Benninghof –  Traj/Lines of Forces- • Involve both compact & spongy bone • In response to – local function -epigenetic influences • Obeyed no individual bone limits • But rather demands of functional forces • Head –2 Bones –Craniofacial skeleton Mandible www.indiandentalacademy.com
  • 21. 3 main vertical pillars of stress trajectories can be seen in the nasomaxillary region. a.Canine pillar b. Zygomatic pillar. c.Pterygoid pillar www.indiandentalacademy.com
  • 22. The Mandible Trabecular columns radiate – terminate in mand condyle www.indiandentalacademy.com
  • 23. The Basic structure is designed to meet the demands of a lifetime of varied Functional activity www.indiandentalacademy.com
  • 24. Clinical Implications of Growth & Development www.indiandentalacademy.com
  • 25. Importance of knowing Growth & development www.indiandentalacademy.com
  • 26. Adolescent Growth Spurt  Adolescence  Imp period in dental & orthodontic treatment  2 years earlier in girls www.indiandentalacademy.com
  • 27. Timing of puberty-  Seasonal & Cultural factors  Genetic & Environmental influences www.indiandentalacademy.com
  • 28. For the 3 planes of space in both maxilla & mandible – Definite sequence of growth completion  WIDTH  LENGTH  HEIGHT www.indiandentalacademy.com
  • 29. Usually completed at the time of adolescent growth spurt. Narrow skeletal width --- Narrow palatal vault Narrow dental arch Cross bite Transverse Growth of Maxilla www.indiandentalacademy.com
  • 31. Expansion across the suture – 2 ways Rapid Slow www.indiandentalacademy.com
  • 32. . . 1. Nasomaxillary Suture 2. Frontomaxillary Suture 3. Zygomaticomaxillary Suture 4. Lacrimomaxillary Suture 5. Ethmoidomaxillary Suture 6. Vomeromaxillary Suture Circummaxillary sutures www.indiandentalacademy.com
  • 33. Structure of the suture at different ages: Infancy Juvenile Adulthoodwww.indiandentalacademy.com
  • 34. R M E • More skeletal changes • Less dental changes • Not used in preschool children • 0.5-1mm/day • 10-20 pounds • Occlusal radiographs • Clinical examination • 3-4 months of retention www.indiandentalacademy.com
  • 35. Haas expander Hyrax expander Minn expander www.indiandentalacademy.com
  • 36. Activation of RME. Upto 15yrs of age 1800 (2 turns daily) 15-20yrs. of age 1800 (4 turns daily) Over 20yrs. 900 (2 turns daily) www.indiandentalacademy.com
  • 37. How much to Expand? Palatal cusps of upper maxillary teeth should occlude with the lingual inclines of the buccal cusps of the lower mandibular teeth. www.indiandentalacademy.com
  • 38. Effects of RME:- -Midpalatal suture opens anteroinferiorly. -Midline diastema. -Buccal flaring of posteriors. www.indiandentalacademy.com
  • 41. Ideal patients for RME treatment.  Full cusp cross bite with a skeletal component  Some degree of dental as well as skeletal constriction initially  No pre-existing dental expansion. www.indiandentalacademy.com
  • 42. Nasal hump & paranasal swelling. Pain. Buccal tipping of posteriors. Root resorption. Fenestration of roots Adverse effects of RME:- www.indiandentalacademy.com
  • 43. Undesirable changes in the nose due to RME www.indiandentalacademy.com
  • 44. Root exposure due to RME www.indiandentalacademy.com
  • 45. Slow expansion  Less force  1mm/week  Reduced tissue damage  Reduced hemorrhage  2-4 pounds of force  More physiologic response www.indiandentalacademy.com
  • 47. Dental cross bites are corrected by -Quad helix -W arch -Arch wire www.indiandentalacademy.com
  • 48. Skeletal & Dental changes in Expansion Rapid Slow www.indiandentalacademy.com
  • 49. Anteroposterior growth of maxilla. Maxillary excess:-For restriction of maxillary growth in growing individuals appliances like 1.Headgear 2.Functional appliances www.indiandentalacademy.com
  • 52. Functional Appliances They are of two types:- -Removable -Fixed Appliances. www.indiandentalacademy.com
  • 54. Fixed Appliances:- Herbst Appliance Jasper Jumper www.indiandentalacademy.com
  • 55. Cervical head gear: used in patients with horizontal growth pattern with reduced lower facial height. www.indiandentalacademy.com
  • 56. Occipital pull Head gear:- Used in long face patients with high mandibular plane angle. www.indiandentalacademy.com
  • 57. Dental camouflage can be done for mild to moderate skeletal problems. For adult patients where growth is no longer present surgical correction should be done. www.indiandentalacademy.com
  • 58. 3 major possibilities for correcting mandibular defficiency www.indiandentalacademy.com
  • 60. Maxillary Deficiency:-Growth modulation in sagittal plane can be done by 1.face mask 2.reverse functional appliances. www.indiandentalacademy.com
  • 61. Effects of forward traction of maxilla www.indiandentalacademy.com
  • 62. Face mask Therapy Delaire Facemask www.indiandentalacademy.com
  • 63. Face mask Therapy Petit Face mask www.indiandentalacademy.com
  • 68. Twin Block Reverse Functional appliances: Functional Regulator www.indiandentalacademy.com
  • 69. Vertical excess of maxilla can be controlled by inhibiting the descent of maxilla and eruption of posterior teeth. Vertical growth of maxilla www.indiandentalacademy.com
  • 70. Frequent respiratory Nasal Septal Contracted Swollen Nasal Mucosa Reduced Nasal Decrease in Enlarged breathing Nasal width adenoids Mouth breathing Lowered Extended tongue position head posture Lowered Mandibular Posture infection deviation Maxillary arch www.indiandentalacademy.com
  • 72. -Highpull headgear to a maxillary splint www.indiandentalacademy.com
  • 73. Magnetic splints for intrusion of posterior teeth www.indiandentalacademy.com
  • 74. Functional appliance with increased height of the bite blocks www.indiandentalacademy.com
  • 75. Highpull headgear to a functional appliance. www.indiandentalacademy.com
  • 76. Cleft lip & palate Infant orthopedics Late primary & early mixed dentition treatment Early permanent dentition treatment Orthognathic surgery www.indiandentalacademy.com