Finite Element Analysis
()(234
Overdenture combing with dental implant is the most common
technique
nowadays, such as implant-retained overdenture, but the influences
of biomechanics
in parameters of implant number, implant distribution, and cortical
thickness are
unclear. Moreover, two-implant-retained overdenture, which was
mainly inserted at
anterior region of dentition was widely used in edentulous patient.
The reasons why
less implants were chosen and where the implants were inserted at
the anterior area
should be further investigated. The purpose of this study is to
investigate
biomechanical effects of parameters in implant number, implant
distribution and
cortical thickness using complete anatomical structure of the
implant-retained
overdenture model by three-dimensional finite element (FE)
analysis.
FE model, which was consisted of maxilla, food, overdenture,
mucosa,
attachments, implants and mandible, was constructed combining with
three types of
implant distributions, implant numbers (insertion of two, three,
and four implants),
and cortical bone thicknesses, total 19 models for investigating.
The FE models of
this study were used to investigate biomechanical effect of
implant-retained
overdenture comparing with three major parameters (such as implant
number,
implant distribution and cortical thickness). The relationship
between mechanical
index of FE models, such as stress, strain and stability, and
fracture of
implant-retained overdenture were further investigated.
The results showed that the type of two-implant insertion at the
anterior
dentation could provide a lower stress magnitude and better
stability for all
components of implant-retained overdenture model, moreover, the
type of multiple
implants retained overdenture was also demonstrated the tendency of
more and
IV
more stress reduction of the overdenture components while the
implant placements
more shifted to posterior region of the dentition. Periimplant
bones of the FE
models were significantly evidenced the bone resorption effects due
to 4000 micro
strain exceeding, but on the contrary the stress magnitudes of the
overdenture,
attachments, and implants were too less to induce the failure. In
addition, the effects
of cortical thickness to implants retained overdenture were less
important than
implant distribution in this study.
Obviously the biomechanical benefit in the type of two implants
retained
overdenture was better than the type of multiple implants retained
overdenture. This
evidence is consistent with clinical outcomes which indicate the
two implants
retained overdenture reconstruction can provide a better success
rate.
Keywords: Implant-retained overdenture; Finite element analysis;
Implant number;
Implant distribution; Cortical thickness
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!
1.1 Classification of Jawbone
.................................................................................
2
1.2 Treatment of Edentulism
..................................................................................
6
1.2.1 Conventional denture
.........................................................................
6
1.2.2 Implant Overdenture
..........................................................................
8
1.3.1 Implant-supported overdenture
........................................................
11
1.3.2 Implant-retained overdenture
...........................................................
11
1.4 Literature
Review............................................................................................
15
1.4.3 Mechanical Adaptation in Bone
......................................................
17
1.4.4 Experimental Study
..........................................................................
18
VIII
2.1 Research Procedures
.......................................................................................
22
2.2.2 Reconstruction of Overdenture
........................................................
28
2.2.3 Integrated Model of Implant-Retained Overdenture
....................... 29
2.3 Element Type and Material Properties
...........................................................
31
2.4 Interface Connection, Loading and Boundary Condition
............................... 33
2.4.1 Definition of Interface Connection
.................................................. 33
2.4.2 Loading Condition
...........................................................................
33
2.4.3 Boundary Condition
.........................................................................
35
2.5 Model Parameters of Implant Number, Distribution and Cortical
Thickness 36
Chapter 3 Results
....................................................................................................
38
3.1.1 The Implant Distribution Based on Inserted 22 Position
................ 38
3.1.2 The Implant Distribution Based on Inserted 44 Position
................ 40
3.1.3 The Implant Distribution Based on Inserted 66 Position
................ 45
66 vs. 606 vs. 6226 vs. 6446
.....................................................................
45
3.2 Stability
...........................................................................................................
52
3.3 Difference in Anterior and Posterior Implant Placement
............................... 59
3.4 Failure
.............................................................................................................
62
Chapter 4 Discussion
..............................................................................................
68
4.1.1 Implant Number and Distribution
.................................................... 68
4.1.2 Effect of Implant Placement between Anterior and Posterior
Region
...................................................................................................................
70
Table 1.1-1 Classification of bone density on jaw bone
............................................. 3
Table 1.4.1-1 Most common implant complications
................................................ 16
Table 2.3-1 Material properties
................................................................................
32
Table 2.4.2-1 The X ,Y ,Z component of muscular force during jaw
closing (Left
side)
...........................................................................................................................
34
Table 2.5-1 The scheme and name of different implant number and
distribution ... 37
Table 3.5-1 convergent test
.......................................................................................
67
XI
Figure 1.1-1 Bone density distribution [6]
..................................................................
4
Figure 1.1-2 (A) Remodeling changes the shape in the mandible in
relation to
edentulism (B) Classification of anterior mandible (base on the
mental foramina) (C)
Classification of posterior mandible (base on the mental foramina)
[8] .................... 5
Figure 1.2.1-1 Conventional denture
..........................................................................
7
Figure 1.3-1 The Difference between implant-retained
overdenture(left) and
implant-supported overdenture(right)
.......................................................................
10
Figure 1.3.2-1 The structure of implant-retained overdenture
................................. 12
Figure 1.3.3-1 Attachment type (A) magnet attachment (B) bar and
clip attachment
and (C) ball attachment
.............................................................................................
14
Figure 1.4.2-1 Distribution of contact area between the denture and
mucosa under a
vertical incisor load. (The cold tone- close and tight, the warm
tone - tilted and
separated from the mucosa) [14]
..............................................................................
17
Figure 1.4.3-1 The relationships between average peak strain and
adaptive responses
[31]
............................................................................................................................
18
Figure 1.4.4-1 Schematic diagram of the implant locations and
different test
condition
...................................................................................................................
19
Figure 1.4.4-2 Mean bending moments on all implants for the
different test
conditions.
.................................................................................................................
19
Figure 2.2.1-1 Segmentation of mandibular contours by Avizo 7.0
........................ 25
Figure 2.2.1-2 The muscular attached region of mandible
....................................... 25
Figure 2.2.1-3 Surface model convert to solid model
.............................................. 26
XII
Figure 2.2.1-4 The three types of cortical bone thicknesses to
reflect three of
edentulous mandible, the average thickness (A) 1.04mm (decreased
thickness) (B)
2.04 mm (patient from CT construction) (C) 3.04 mm (increased
thickness) .......... 27
Figure 2.2.2-1 Nextengine scanner and turntable
.....................................................
28
Figure 2.2.2-2 To coat an unreflective layer on the denture
surface. ....................... 29
Figure 2.2.3-1 A complete model of implant-retained overdenture for
investigating in
the finite element analysis.
........................................................................................
30
Figure 2.3-1 SOLID187 element is a higher order 3-D, 10-node
element. .............. 31
Figure 2.4.2-1 The orientation of muscular force during closing jaw
(A)
Front View (B) Back View
.......................................................................................
34
Figure2.4.3-1 The boundary condition
.....................................................................
35
Figure 2.5-1 The serial number of tooth position
.....................................................
36
Figure 3.1.1-1 Maximum von Mises stress on components with
different number and
distribution based on 22 position
..............................................................................
39
Figure 3.1.2-1 Maximun von Mises stress in (A) denture, (B)
attachment, (C)
abutment on 4224model
............................................................................................
41
Figure 3.1.2-2 Maximum von Mises stress on denture with different
number and
distribution based on 44 position
..............................................................................
42
Figure 3.1.2-3 Maximum von Mises stress on attachment with
different number and
distribution based on 44 position
..............................................................................
42
Figure 3.1.2-4 Maximum von Mises stress on abutment with different
number and
distribution based on 44 position
..............................................................................
43
Figure 3.1.2-5 Maximum microstrain on cortical bone with different
number and
distribution based on 44 position
..............................................................................
43
XIII
Figure 3.1.2-6 Minimum principal stress on cortical bone with
different number and
distribution based on 44 position
..............................................................................
44
Figure 3.1.3-1 Maximum von Mises stress on denture with different
number and
distribution
................................................................................................................
46
Figure 3.1.3-2 Maximum von Mises stress on attachment with
different number and
distribution
................................................................................................................
46
Figure 3.1.3-3 Maximum von Mises stress on abutment with different
number and
distribution
................................................................................................................
47
Figure 3.1.3-4 Maximum von Mises strain on cortical bone with
different number and
distribution
................................................................................................................
47
Figure 3.1.3-5 Minimum principal stress on cortical bone with
different number and
distribution
................................................................................................................
48
Figure 3.1.3-6 Maximum von Mises tress and minimum principal stress
on
components with different implant number of anterior mandible
............................ 48
Figure 3.1.3-7 The distribution of minimum principal stress at the
each model (Blue
arrow refers to the position of minimum value)
.......................................................
49
Figure 3.1.3-8 The distribution of maximum von Mises stress on
attachment (red
arrow indicated the position of maxmum value) (A) 6226 (B) 6446
....................... 50
Figure 3.1.3-9 The distribution of maximum von Mises stress at the
dentur (A)
6226 (B) 6446
...........................................................................................................
51
Figure 3.2.1-1 Deformation in type of 2-implants model at the 1mm
cortical thickness
...................................................................................................................................
53
Figure 3.2.1-2 Deformation in type of 3-implants model at the 1 mm
cortical
thickness
....................................................................................................................
53
XIV
Figure 3.2.1-3 Deformation in type of 4-implants model at the 1mm
cortical thickness
...................................................................................................................................
54
Figure 3.2.1-4 Deformation of 1mm cortical thickness comparing with
different
implant number
.........................................................................................................
54
Figure 3.2.1-5 The maximum deformation in the denture at the 1 mm
cortical
thickness (A) 22 (B) 606 (C) 6446
...........................................................................
55
Figure 3.2.2-1 Deformation in type of 3-implants model at the 3mm
cortical thickness.
...................................................................................................................................
56
Figure 3.2.2-2 Deformation in type of 4-implants model at the 3mm
cortical thickness.
...................................................................................................................................
57
Figure 3.2.2-3 Deformation of 3mm cortical thickness
............................................ 57
Figure 3.2.2-4 Comparison of the best stability in two types of 3-
and 4-implants
retained overdenture with 1 and 3mm cortical thickness
......................................... 58
Figure 3.3-1 Comparison with model 22and 66 in the maximum von
Mises stress. 60
Figure 3.3-2 Comparison with model 202, 404 and 606in the maximum
von Mises
stress.
.........................................................................................................................
60
Figure 3.3-3 Comparison with model 4224, 6226 and 6446in the
maximum von
Mises stress.
..............................................................................................................
61
Figure 3.4.1-1 Maximum von Mises strain of two implants at the 1mm
cortical
thickness
....................................................................................................................
63
Figure 3.4.1-2 Maximum von Mises strain of three implants at the
1mm cortical
thickness
....................................................................................................................
63
Figure 3.4.1-3 Maximum von Mises strain of four implants at the 1mm
cortical
thickness
....................................................................................................................
64
XV
Figure 3.4.2-1 Maximum von Mises stress on the denture, attachment
and abutment
in each implanted types.
............................................................................................
65
Figure 3.5-1 The curve of convergent test in the denture
......................................... 66
Figure 4.1.1-1 Comparison with one- and two-implants model in the
maximum von
Mise stress
.................................................................................................................
69
Figure 4.1.1-2 The deformation in comparing with one- and
two-implants ............ 69
Figure 4.1.2-1 Influence of bolus position in the type of 6446
insertion ................. 70
Figure 4.1.3-1 Schematic diagram of two-implants-retained
overdenture in the
reaction force.
...........................................................................................................
72
reaction force.
...........................................................................................................
72
Figure 4.1.3-3 The enclosing area of implant-retained overdenture
with different
implant number and distribution (Blue region).
.......................................................
73
Figure 4.1.5-1 Cantilever arm accompanied with different implant
distributions ... 75
Tooth loss is a multifactorial and complex interaction of multiple
comorbidities.
If the problem left continued, it may progress to complete
edentulism. According to
American college of prosthodontists, edentulism is defined as the
absence and
complete loss of all natural dentition [1]. However, edentulism is
a common oral
disease in elderly in Taiwan. According to the statistics of
National Health
Insurance Bureau from 2003 to 2005 [2], the remaining teeth number
was 14.35 for
over 65-years-old people in Taiwan, while the prevalence of
edentulous individuals
was 13.3%, and females (29.2%) were higher than males (23.1%).
Furthermore, the
prevalence of edentulous for over 75-years-old people was reached
17.4%. In June
2012, the newest statistics of DGBAS indicated that the population
whose aged
over 65 years had exceeded 2.5 million in Taiwan and the proportion
of the
edentulism up to 26.1% [3]. According to the Department of
Statistics in Ministry
of Interior shown in April 2013 that over 65-years-old population
had reached
2,628,881 people in Taiwan , it was 11.27% of the total population
[4]. According
to the prediction of government, the older population will be 14.4%
of the total
population in the 110 years of the Republic of China; as a result
of the increase in
edentulism, the demand for treatment will increase.
Edentulism do not only affect facial appearance but also the
occlusal stability
and pronunciation. However, the weakened chewing ability will
change the choices
of daily diet and nutrient absorption, and cause an evasive frame
mind in patients.
Therefore, oral problems in the elderly need treat urgently.
Currently implant
2
overdenture is the first choice treatment for edentulous patients.
However, there are
many factors to affect the success rate of dental implants, such as
bone anatomy,
quality and quantity, implant number, implant placement, implant
length and
diameter, occlusal habits, etc. In order to understand the
influences of factors, this
study will investigate the biomechanical effects in parametric
analysis of
implant-retained overdenture in the edentulous subject.
1.1 Classification of Jawbone
The alveolar bone is the thickened ridge of bone that contains the
tooth sockets
on bones that bear teeth, therefore the amount and bone mineral
density of alveolar
bone is one of the important factors for primary implant
stability.
According to the Wolff’s law [5].- “Every change in the form and
function of
bone or of its function alone is followed by certain definite
changes in the internal
architecture, and equally definition alternation in its external
conformation, in
accordance with mathematical laws.” Therefore, extending the two
kinds of
phenomena:
(1) Bone modeling is the process by which osteoclasts break down
bone and
release the minerals, resulting in the change of the shape or size
of bone. It can also
be the result of disuse and the lack of stimulus for bone
maintenance.
(2) Bone remodeling is a process of resorption and formation at the
same site that
replaces the previously existing bone. .
Ba
Therefo
classifi
classifi
Fine trabecular
bone respo
Zarb prop
aw morph
, D2, D3,
bone dens
ior la, sity n
1.2 Treatment of Edentulism
As the world population aging, the edentulous population has
continued to
grow. It’s an important issue that how to effectively treat the
edentulous symptoms.
There are two kinds of treatment type for edentulous patient: (1)
Conventional
denture (2) Implant overdenture.
1.2.1 Conventional denture
In the past 100 years, conventional complete denture (Figure
1.2.1-1) was the
only treatment to heal the edentulous patients [10, 11]. The
traditional treatment
modality of edentulism has been the fabrication of removable,
tissue-supported
complete dentures. The treatment does not need to perform an
operation, so the
elderly patients are more acceptable to this treatment type. In
functional, it provides
the requirement of simple chewing, but it has lack of tissue
between dentures and
mandible to stable and support the denture. Although the denture
has used denture
adhesive at the interface, but it still can’t replace the retention
of natural teeth.
Therefore, the denture will have the risk to move or fall out when
speaking or
chewing.
However, the periodontal ligament plays an intermediate cushion
role to
buffer the occlusal loads in natural teeth. Once the teeth have
been lost, the bone
will no longer be stimulated by the tooth roots and begin to
resorb. Therefore, when
the teeth were extracted or wore traditional dentures through
long-term, the
phenomenon of alveolar absorption was unavoidable. Residual
alveolar bone will
continue to produce resorption and be damaged, and the retained
force and
7
supported force of denture will become worse. Patients who wear
conventional
denture can only restore about 10% to 20% of chewing forces.
In 1972, Tallgren et al. in a 25 years long- term follow-up showed
that the
absorption of alveolar volume was about 0.4 mm/year for
conventional denture
wearer especially on mandible denture case [12, 13]. And absorption
rate on
alveolar bone ridge was about four times greater in mandible than
in maxilla, this
phenomenon have a great impact for denture retention and stability
and also
increase the difficulty of the treatment in the future.
In addition, the alveolar bone has continuous reduction of the
residual
alveolar ridges and the soft tissue structures have constantly
changed by bearing
excessive load in the long-term [12]. In order to keep the facial
features and
compensate for the bone loss, the denture base must be continually
increased in size
to fit the shape of alveolar bone. This treatment type just can be
short-term
improvement for patients but it’s unable to obtain complete
treatment.
Figure 1.2.1-1 Conventional denture
1.2.2 Implant Overdenture
In recent years, the treatment of a fully edentulous mandible by
implant
overdenture has become a common technique [14, 15]. Edentulous
patients who
used the conventional prostheses can be benefit from implant
overdentures [14,
16].
Currently, the endosseous implant of root form is most commonly
used in
dental implant. Endosseous implant can be traced to the 1960s in
Sweden, Dr.
Brånemark, an anatomy and experimental biologists who demonstrated
the
phenomenon “osseointegration”, whereby a biocompatible metal which
was
titanium could be structurally integrated into living bone without
inflammation [17,
18]. In the early 1980s, Zarb introduced the concept of
osseointegration to North
America in Canada conference. In 1985, the American Dental
Association also
approved that dental implant used in clinics in the Americas [19].
The earliest
studies about implant overdenture was traced back to 1985 in
Swedish, Stalblad et
al. proposed that implants could apply to edentulous patients [19].
In 1987, Van
Steenberghe et al. reported on the possibility of using
overdentures supported by
two Brånemark implants to treat 43 mandibular denture patients.
After the 52
months clinical follow-up, the result showed that the success rate
was up to 98%
[20, 21]. “In 2002, the McGill consensus statement suggested that
an overdenture
retained by two implants should be the first choice of treatment
for the edentulous
mandible” [22].
The patient obtains several advantages with implant overdenture,
such as (1)
minimum anterior bone loss, (2) improved esthetics, stability,
occlusion, chewing
efficiency, retention, support, and speech, (3) decrease in soft
tissue abrasions [23].
9
According to the literatures, anterior residual ridge where place
the implants has
minimum bone resorption. An average of 4-mm vertical bone loss
occurs during
the first year after the extraction of mandibular teeth. The bone
under an
overdenture may resorb as little as 0.6mm vertically over 5 years;
After healing of
residual ridge, annual rate of reduction in height is about 0.1-0.2
mm in mandible
[23, 24]. In 2003, Kordatzis reported that the estimated average
reduction of
residual ridge in height was 1.63 mm for conventional denture and
0.69 mm for
implant overdenture, ie, almost 1 mm less in the overdenture [25].
Based on the
several advantages, implant overdenture has become a major
treatment in recent
years. And implant overdenture treatment can divide into the
implant-retained
overdenture and implant-supported overdenture.
Implant-Supported Overdenture
Base on the implant numbers and supported types, the treatment can
be
divided into two categories of implant-retained and
implant-supported overdenture.
According to the terminology of implant prostheses
[26]implant-retained
overdenture was referred to that the number of implants were less
than four and the
biting force will be shared by the implant and mucosa. The
implant-supported
overdenture was referred to that the number of implants was 4 to 6
and the biting
force will be entirely born by the implants (Figure 1.3-1).
Figure 1.3-1 The Difference between implant-retained
overdenture(left) and
implant-supported overdenture(right)
In 2005, Misch proposed standard indications for the patients
[23]
1. Tissue serious defect in posterior areas,
2. Lack of retention and stability
3. Difficult in conversation,
4. Soft tissue inflammation
Implant - supported overdenture suffer the occlusal force entirely
by implant
rather than the tissue, hence it can reduce bone absorption,
increase the bone
volume of posterior, and constrain the lateral movement of denture.
But this
treatment has increased the stability by increasing implant number,
so the cost is
relatively high. If cost don’t mainly consider, the treatment will
be a good choice
for patients.
The implant retained overdenture implant used with less implants
placement,
the cost is cheaper for patients and excellent therapeutic effect
was evidenced after
treatment. The implant-retained overdenture for mandible was
generally consisted
of dental implant, the abutment containing one half of the
attachment system, and
the overdenture prosthesis, which houses the other half of the
attachment system, as
shown Figure 1.3.2-1.
part
the
vide
orm
13
and function (Figure 1.3.3-1). Three designs have different ideas
and theories, but
most authors consider that it’s no difference between the
satisfaction of patients
[27]. The magnet was combined with overdenture by using magnetic
poles attract
abnormal way, so the retention of axial was stronger than lateral.
When the denture
bear lateral force, the attachment would slide and cause the
denture dislocation.
Therefore, it should be avoided producing lateral force in this
system. When
compared with bar attachment and ball attachment, bar attachment
needed more
requirements to repair and derived hygiene problems. Since ball
attachment is
considered a simplified and cost-effective treatment as compared to
bar and clip
type implant overdentures and it has fewer complications and more
retention force.
Therefore, ball attachment type combining with the overdenture was
selected in
this study to investigate the biomechanical effects of the
implant-retained
overdenture.
14
Figure 1.3.3-1 Attachment type (A) magnet attachment (B) bar and
clip attachment
and (C) ball attachment
1.4 Literature Review
1.4.1 Clinical Review
Mericske-Stern, Jemt, Naert, Behneke et al. reported survival rates
of implants
supporting an overdenture ranging from 94.5% to 98.8% up to 5 years
.In 2002,
Meijer et al. reported a prospective study that 30 edentulous
patients were treated
with two endosseous implants in the interforaminal region of the
mandible. The
5-year survival rate of implants in this study was 98.3% to 100%
[28].
Although scholars used different implant system and attachment, but
its studies
had shown high success rates for implant. Therefore,
implant-retained mandibular
overdenture treatment was a high success rate and predictable
treatment for
edentulous patients.
Although the implant-retained overdenture has a high success rate
in clinical,
there are still many complications. In 2003, Charles et al.
Reported many implant
complications such as overdenture attachment fracture, overdenture
fracture, etc [29].
“It was not possible to calculate an overall complications
incidence for prostheses
because there were not multiple clinical studies that
simultaneously evaluated most
of complications. “
1.4.2 Finite Element Analysis
In 1996, Atilla Sertgoz and Sungur Guvener constructed a 3D finite
element
model of simplified fixed complete dentures, and loaded a 25N
horizontal force and a
75 N vertical force on the distal end of dental bridge to analyze
the stress distribution.
The partial results shown that stresses were concentrated at the
most distal
piri-implant bone and increasing cantilever length resulted in
increased stress values
at the bone/implant interface [30].
In 2012, Jinyin Liu et al. constructed four 3D finite element model
of
mandibular overdentures which used 1-4implants.Three loading type
were applied:
100N vertical load on left first molar, 100N inclined load on left
first molar and a
100N inclined load on the lower incisors. The models were
constrained at the nodes
on the mesial and distal bone in all degrees of freedom. The result
was shown that
when functioning with the anterior teeth, three- and four-implant
model were
steadier than two-implant model. Because the implant placed in
anterior zone could
avoid the intrusion of the anterior portion of the denture towards
the tissues [14].
17
Figure 1.4.2-1 Distribution of contact area between the denture and
mucosa under a
vertical incisor load. (The cold tone- close and tight, the warm
tone - tilted and
separated from the mucosa) [14]
1.4.3 Mechanical Adaptation in Bone
Frost reported a model of four zones for compact bone as it related
to
mechanical adaptation to strain before spontaneous fracture (Figure
1.4.3-1) [23,
31]. The microstrain of bone for trivial loading was reported to be
0 to 50
microstrain. The range of strain value would lose mineral density
and occur to
disuse atrophy. The lower limit of the physiological strain might
be around 200
microstrain. Modeling was stimulated at strains above 2,500
microstrain, whereas
remodeling was stimulated when strains fall below about 200
microstrain. The mid
overload zone (1,500-3,000 microstrain), high deformations occurred
in
peri-implant bone. Pathologic overload zone were reached 4,000
microstrain,
which m
1.5 Motivation and Objective
Treatment types for edentulous patients can be considered two types
of
conventional denture and implant-involved overdenture to
reconstruct occlusal
function. Overdenture combing with dental implant is the most
common technique
nowadays, such as implant-retained overdenture, but the influences
of
biomechanics in parameters of implant number, implant placement
distribution,
and cortical thickness are unclear. Moreover, two-implant-retained
overdenture,
placement was mainly located at anterior region of dentition, was
widely used in
edentulous patient. The reason why less implants were chosen and
where the
implants were inserted at the anterior area should be further
investigated.
Based on the concept of biomechanics, we know that numerous
numbers of the implants and dispersed placement of the implants
could provide a
better stability and stress distribution to increase in success
rate. There is a
conflict biomechanical concept and clinical application in
prosthesis of
implant-retained overdenture. Therefore, the purpose of this study
is to investigate
the biomechanical effects of the parameters in implant number,
implant distribution
and cortical thickness to complete anatomical structure of the
implant-retained
overdenture model using three-dimensional finite element
analysis.
Specific aims:
1. To evaluate the fracture sites of the implant-retained
overdenture in the
different parameters of the finite element models..
2. To understand the better stability in combinations of the
parameters for
implant-retained overdenture .
21
3. To investigate the bone resorption around implant holes under
biting force
applied.
4. To explain whether the anterior placement of the implant is good
for clinical
operation.
22
2.1 Research Procedures
In this study, the process could be summarized into reconstruction
of
three-dimensional finite element model and biomechanical analysis
of
implant-retained overdenture model. The process in this study was
shown in
Figure 2.1-1.
Reconstruction of 3D Model
The models of maxillary tooth and mandible were reconstructed from
CT
images of edentulous patient by using Avizo 7.0 software which
could identify the
boundary contour of mandible (including cortical bone and
cancellous bone) and
stratify 2D images to 3D model. Then the data were exported as
surface model of
STL format, and then imported to Geomagic to reconstruct the
cortical bone
thickness.
The surface model was obtained from the shape of the overdenture of
the
patients by using Nextengine 3D scanner. The model was imported to
Geomagic
software to convert into solid model.
Based on the size and shape of implants of the ITI manufactured
company,
solid model of attachment and implant were constructed by CAD
procedure and all
components were merged by Solidworks.
Reconstruction and Analysis of Finite Element Model
These models were imported into Ansys-workbench software to mesh
and
convert to the FE model, which was included with maxilla, food,
overdenture,
mucosa, attachment, implants and mandible.
23
The model of this study was used to investigate biomechanical
effect of
implant-retained overdenture with different parameters (implant
number, implant
distribution and cortical thickness). The indexes focus on the
von-Mises stress in
the distribution on overdenture, attachment and implants, as well
as bone of
von-Mises strain.
Model
2.2.1 Reconstruction of Maxillary and Mandible Bone
To obtain the accurate geometry of mandible, CT images were
selected from
a 68-ages female who was edentulism. The images were utilized to
build the
mandible and maxilla geometry (maxillary tooth, cortical bone and
cancellous
bone of mandible). Detail reconstructed processes are showed as
following:
1. To import the CT images into medical image reconstruction
software-Avizo7.0, and established both the upper and the lower
threshold of
pixel intensity. The contours of mandible and maxilla could be
identified by
segmentation mask (Figure 2.2-1).
2. All contours were reconstructed for 3D surface model.
3. The surface model were exported as “.stl” file and imported to
Geomagic
software. The surface model was smoothed to provide the better
mesh
quality.
4. To create the insertion area of elevator masticatory muscles on
the surface of
the mandible (Figure 2.2-2) [33].
5. The solid model was exported as “IGES” file and further imported
into
Solidworks software to covert and operate (Figure 2.2-3).
Figure 2.2
orks
27
Figure 2.2.1-4 The three types of cortical bone thicknesses to
reflect three of
edentulous mandible, the average thickness (A) 1.04mm (decreased
thickness) (B)
2.04 mm (patient from CT construction) (C) 3.04 mm (increased
thickness)
(A)
(B)
(C)
ner
rate
for
g
olid
her
29
Figure 2.2.2-2 To coat an unreflective layer on the denture
surface.
2.2.3 Integrated Model of Implant-Retained Overdenture
Based on the size and shape of the ITI implant, a solid model was
constructed
by CAD software of Solidworks 2010. The soft tissue of mucosa
between denture
and mandible was also reconstructed to reflect precise anatomy of
the mandible
for the 3D finite element analysis. In this 3D finite element
analysis, the food
bolus, an ellipsoid built 15 mm in major axis and 12 mm in minor
axis, was
simulated as mouth chewing located at the first molar between
maxillary and
mandibular bone. The implants and prosthetic components were merged
with the
mandible, mucosa, and denture in the Solidworks software.. Finally,
the complete
implant-retained overdenture models with different parameters were
imported to
the ANSYS software of the finite element analysis to simulate the
influences of the
parameters of the implant-retained overdenture (Figure
2.2.3-1).
Figure
Cancellous
Tooth 84100 0.33 [36]
Bolus 21.57 0.45 [36]
33
The interface connections, loading conditions and boundary
condition were
defined for pre-processing of finite element analysis. Its settings
were described as
below:
2.4.1 Definition of Interface Connection
According to anatomical condition, the coefficient of friction in
0.334 was
assumed between the overdenture and mucosa [14]; the coefficient of
friction of the
interface between overdenture and bolus was assumed to be 0.2 [36].
Moreover, the
interfaces between attachment (cap) and abutments (ball) were set
to no separation
with sliding between two parts of the models. Total bonding between
bone (cortical
bone and cancellous bone) and implants was assumed to simulate a
complete
implant osseointegration.
2.4.2 Loading Condition
This study was simulated the motion of closing jaw when eating
food, and the
muscles of closing jaw was contained masseter muscle, temporalis
muscle, medial
pterygoid. The muscle forces were identified the coordinates of the
muscles’
insertion and origin site according to human anatomy. The unit
vectors of muscles
could be calculates by the coordinates of insertion and origin
site. The magnitude
of X, Y, Z components of muscular force were selected and applied
by previous
literatures (Table 2.4.2-1) [37-40]. Then the components were
applied on the
surfaces of mandible where the contact area of muscles marked out
by Geomagic
(Figure 2.4.2-1).
34
Table 2.4.2-1 The X ,Y ,Z component of muscular force during jaw
closing
(Left side)
Figure 2.4.2-1 The orientation of muscular force during closing
jaw
(A) Front View (B) Back View
Muscle Position X-Force(N) Y-Force(N) Z-Force(N)
Masster Superficial 64.65 -87.1 250.306
Temporalis Anterior -66.473 66.358 293.33
Posterior -99.873 171 100.33
Cortical Thickness
This study is to investigate the biomechanical effects of the
implant-retained
overdenture using the 3D finite element models which were
constructed combining
with three types of implant distributions (for example position of
22, 202, and
4224), three types of implant numbers (such as two, three, and four
implants), and
three types of cortical bone thicknesses (such as 1mm, 2mm, and 3mm
thicknesses).
Implant-retained overdenture was commonly technique, especially
using two
implants placed at anterior zone in clinical operation. Integrated
the above
parameters the finite element models were total number of 19
models. For total 19
models were denominated according to implant number and implant
position that
the number in front and behind of dash represented implant number
and implant
position respectively (Figure 2.5-1). The schematic diagram of the
implant number
and implant distribution were shown on the Table 2.5-1, and the
implant position
was named A, B, C and D by the sequence from working side (food
block) to
non-working side.
1 2
3 4
The type of two-implant-retained overdenture was mainly located at
anterior
region of dentition was widely used in edentulous patient in
clinic. But some
literatures reported that increased in the implant number and wider
implant
distribution could enhance the stability of structure. This section
will compare the
effect between implant number and distribution.
3.1.1 The Implant Distribution Based on Inserted 22 Position
22 vs. 202 vs. 4224 vs. 6226
Base on the position of lateral incisor, there has investigated the
different in
implant number and position at anterior region. However, the three
kinds of cortical
thickness have the same trend of distribution, so cortical
thickness of 1mm
represents to describe in detail. In four models, the maximum von
Mises stress were
concentrated on the overdenture, attachment and abutment of
peri-implant of
working side. Whether microstrain or minimum principal stress, the
maximum
value were also concentrated on peri-implant bone at loading side
(Figure 3.1.1-1).
The maximum von Mises stress was 681.69 MPa on attachment, 349.98
MPa on
the neck of abutment in 4224 model. The minimum principal stress is
-302.13 MPa
on the peri-implant bone of loading side in 4224 model.
Comparing the implant number of anterior zone and posterior zone
(22 vs. 202
vs. 4224), the result showed that the increase of the implant
numbercould increase
the value of stress in components.
W
3 3 2 2 1 1
1 1 2 2 3 3 4 4 5 5 6 6 7 7
vo n M
P a)
When compa
ult showed
plants but
350 300 250 200 150 100 50 0
50 100 150 200 250 300 350 400 450 500 550 600 650 700 750
C u sp A
C D A B
24 vs. 6226
value on bo
404 vs. 4224 vs.6446
Base on the position of first premolar, there has investigated the
different in
implant number and position on anterior and posterior regions of
mandible. All
value of indexs were the highest on loading side. In total view, 4
implants retained
overdenture which inserted in 4224 model have the higher von Mises
stress value
on denture (45.817 MPa), attachment (349.98MPa), and abutment
(681.69 MPa).
Maximum microstrain is 15797 on the cortical bone of working side
and minimum
pricipal stress is -302.13 MPa (Figure 3.1.2-1).
When compared the implant number of anterior area (404 vs. 4224),
the result
showed that the value of 4-implants was higher than 3-implants in
attachment,
abutment and bone on the loading site.
The result showed that the value of stress or microstrain would
increase when
increased implant number, especially inserted in anterior mandible,
but the value
would decrease when the implant move to posterior area(Figure
3.1.2-2~6).
41
Figure 3.1.2-1 Maximun von Mises stress in (A) denture, (B)
attachment, (C)
abutment on 4224model
vo n M is e s tr e ss (M
P a)
M i
t (M
P a)
P a)
Maximum v
P a)
aximum vo
p ri n ci p al st re ss (M
P a)
M in im
u m p ri n ci p al s tr e ss (M
P a)
Minimum p
and d
66 vs. 606 vs. 6226 vs. 6446
Base on the position of first molar, there has investigated the
different in
implant number and position at anterior region. However, the three
types of cortical
thicknesses have the same trend of distribution, hence, cortical
thickness of 1mm
represents to describe in detail. In four models, the maximum von
Mises stress was
concentrated on the overdenture, attachment and abutment of
peri-implant of
working side. Whether microstrain or minimum principal stress, the
maximum
value are also concentrated on peri-implant bone at loading side
(Figure 3.1.3-1~5).
The maximum von Mises stress was 683.93MPa in neck of abutment, and
the
maximum microstrain is 13585 at the 6226 model. The minimum
principal stress is
-264.58 MPa on the loading side at the 6226 model.
When compared the implant number of anterior area (66 vs. 606 vs.
6226), the
result showed that the increased the implant number in anterior
region, the value of
stress would increase in components and microstrain on bone, but
decreased in the
non-loading side (Figure3.1.3-6~7).
When compared two types of implant inserted on anterior mandible
(6226 vs.
6446), the result showed that more distal placement could reduce
the value on bone
and implants, but increase the value on denture and attachment of
loading side
(Figure3.1.3-8~9). And the von Mises stresses on the loading side
of denture were
22.756 and 25.527 MPa at the distal and mesial region
respectively.
When compared two types of 606 and 6446 models, the resultsshowed
that
there were no difference between two models at the bone and implant
of loading
side even though the model 6446 have more implants than the model
606 (1.592%
in von M
is e s st re ss (M
P a)
is e s st re ss (M
P a)
is e s st re ss (M
P a)
aximum vo
Maximum vo
M in im
u m p ri n ci p al s tr e ss (M
P a)
er
49
Figure 3.1.3-7 The distribution of minimum principal stress at the
each model
(Blue arrow refers to the position of minimum value)
50
Figure 3.1.3-8 The distribution of maximum von Mises stress on
attachment (red
arrow indicated the position of maxmum value) (A) 6226 (B)
6446
(A)
(B)
51
Figure 3.1.3-9 The distribution of maximum von Mises stress at the
dentur
(A) 6226 (B) 6446
3.2 Stability
Cortical bone thickness is one of the most important factor to
influence the
primary stability of implant , so this section is focus to
investigate the maximum
deformation of denture and bone to compare the effect of stability
both the worst
and the best bone thickness.
3.2.1 Thin Cortical Thickness (1 mm)
The result in type of 2-implants model showed that the implants
inserted in
anterior mandible could significantly reduce the deformation on the
denture and
bone, as shown Figure 3.2.1-1.
The result in type of 3-implants model showed that wider implant
distribution
(606) could more reduce deformation almost 50% than closer implant
distribution
(202), as shown Figure 3.2.1-2.
In type of 4-implants model had the same trend as type of
3-implants model,
in other words, the deformation of wider implant distribution
(6446) was lower
than the narrower implant distribution (4224) as shown Figure
3.2.1-3.
According to the foregoing comparisons, we obtained the effect of
implant
distribution in different implant number groups for the stability.
Furthermore, the
smallest deformation values in each group was obtained and compared
again to
obtain the best stability from implant number (Figure 3.2.1-4~5).
And the result
showed that the stability of 2-implants retained overdenture was
better than 3-,
4-implants retained overdenture, but there was no difference
between 3-and
4-implants retained overdenture.
0
1
2
3
4
5
6
7
A
Deformat
Deformati
A
D
B
C
0
0.5
1
1.5
2
2.5
3
3.5
4
Deformat
Deformatio
2A2B
6A0B6C
6A4B4C6D
4A2
6A2
6A4
nt
2B2C4D
2B2C6D
4B4C6D
55
Figure 3.2.1-5 The maximum deformation in the denture at the 1 mm
cortical
thickness (A) 22 (B) 606 (C) 6446
Unit: mm
rtical Thic
0
0.5
1
1.5
2
2.5
3
3.5
4
2 Deformat
gure 3.2.2-3
A B
at io n (m
Model 22 vs. 66 in 1mm
The same cortical thickness was used to investigate the effects of
implant
insertion in the anterior and posterior area. The results indicated
that the stress of
the denture, attachment and abutment in the model 66 was higher
than model 22
(Figure 3.3-1).
Model 202 vs. 404 vs. 606 in 1mm
The result showed that model 202 was the lowest von Mises stress on
the
denture, attachment and abutment of 14.173MPa, 77.422MPa and
165.15MPa
respectively. And furthermore, model 404 was detected the highest
stress on
denture and attachment (Figure 3.3-2).
Model 4224 vs. 6446 vs. 6226 in 1mm
Comparing with three types of inserted distribution of four
implants, the
results displayed that the four-implants retained overdenture with
closer
distribution in the posterior region was the better ability of
dispersed stress (Figure
3.3-3).
Figure
Figure
is e s st re ss (M
P a)
P a)
mparison w
mparison w
Cusp A
P a)
mparison w
Implant-retained overdenture was used with repeated biting force
fora
long-term duration, the overdenture complex would be damaged and
caused bone
resorption, which was an unavoidable phenomenon .This section was
focused on
failure investigation of bone and overdenture complex.
3.4.1 Bone Resorption
This section assessed whether the bone would be produced resorption
by
excessive force for a long term. Bone resorption caused the implant
loosening
and the structure unstable. In the finite element method,
equivalent strain on the
bones is used to determine whether the bone would cause bone
resorption to infer
the probability of occurrence. In this section, cortical thickness
of 1 mm was
selected to evaluate as the worse situation of bone resorpion.
Figure 3.4.1-1 ~
3.4.1-3 showed that the equivalent strain changed with different
implant number
and distribution. Horizontal axis was implant placement and the
vertical axis was
the value of equivalent strain and the maximum equivalent strain
appeared in the
bone around the implant side. It also could be found by Figure
3.4.1-1, overdenture
was inserted 2 implants, implant insertion more anteriorly could
significantly
reduce the equivalent strain. To compared with Figure 3.4.1-2 and
Figure 3.4.1-3,
insertion of multiple implants found that implant inserted more
transferred in the
posterior region could indeed reduce the equivalent strain.
Figur
Figure
is e s st ra in
500
1000
1500
2000
2500
3000
is e s st ra in
Maximum
is e s st ra in
Maximum v
ent study,
he loading
maximum s
ectional ar
is e s st re ss (M
P a)
gure 3.4.2-
3.5 The convergent test
In finite element analysis, the amount of elements numbers will
affect the
results of the model by numbers of meshing elements. More and more
elements
number seemed to increase the accuracy of the FE analysis..
Therefore, the
convergent test can provide a more appropriate number of elements,
to avoid
consuming in calculated time, in addition, this test could increase
the reliability of
the FE model.
All models reached convergent criteria, the error percentage of von
Mises
stress less than 3% (Figure 3.5-1). According to convergent test of
the FE models,
we known that the element number 529,078 in the FE model has been
converged,
whichrepresented the element number by mesing procedure in this FE
model have
enough reliability (Table 3.5-1).
Figure 3.5-1 The curve of convergent test in the denture
15
15.5
16
16.5
17
17.5
18
18.5
19
vo n M
p a)
Nodes number
67
Stress Percentage of convergence
4.1.1 Implant Number and Distribution
In general, we believed that the greater implant number and wider
implant
distribution would be dispersed the stress, but this effect was
only found in
multiple-implants retained overdenture in the present study. Two
implants
supported the overdenture could move backward or forward when the
food
mastication was applied. Patients’ occlusal habits can influence of
above effect,
hence, different patient will reflet varied stress distribution in
the overdenure
model. Actually, the type of the 2-implants-retained overdenture,
especially
inserted more anterior region, could provide a better steady of the
overdenture
structure, the result of two-implants-retained overdenture of the
FE analysis was
evidenced. The implant distribution based on 66 insertion in the
multiple implant
retained overdenture shown that the implants insertion in the first
molar such as
three-implants and four-implants retained overdenture, had the
similar closed area
to disperse the stress, therefore, three-implants retained
overdenture was enough
to sustain under biting force.
This study was also constructed a set of one-implant-retained
overdenture
with different bone thickness, and further compared with
two-implant-retained
overdenture to obtain the biomechanical effects of the implant
number. The result
showed that two-implants retained overdenture still had better
stability and lower
stress value, obviously, 2-implants model can provide a line share
to resist the
biting force. In contrast with two-implants model, one-implant
supported the
overden
is e s tr e ss (M
P a)
at io n (m
at io n (m
4.1.3 Stability
The effect of distribution and the number of the implants had the
same trend
in the stability in two kinds of cortical thickness. The
two-implants retained
overdenture, the food bolus was constrained at the first molar, in
the model 66
was applied closing mouth movement to cause the major deformation
on the
overdenture, at the same time, anterior part of the overdenture
generated tilt. In
the model 22, the occlusal force oppressed the mucosa on the end of
overdenture,
moreover, two implants located at the anterior region to support
dentures and
produce inhibition reaction force to avoid the denture posterior
reclining, hence,
this type of insertion could produce the smaller deformation than
that of model 66
(Figure 4.1.3-1). Furthermore, in order to verify whether the
effect bolus position
caused different results, this study simulated the bolus position
on incisors model as
a control,. Effect of occlusal position was found indeed
influential, but stability of
the model 66 was still poor than the model 22 (Figure
4.1.3-2).
The implant retained overdenture, which used more than 3 implants
was
sufficient to constitute a plane, according to σ = F / A which
constituted the larger
area could more evenly distributed stress and increased the
structural stability. The
influenced factors of number and larger distribution area were
evidenced with
the better stability (Figure 4.1.3-3).
Figur
Figur
at io n (m
Figure 4.1.3-3 The enclosing area of implant-retained overdenture
with different
implant number and distribution (Blue region).
74
4.1.4 Failure
Previous article reported that the equivalent strain of bone was
more than 4000
microstrain might cause micro-fracture, such as bone resorption, at
the
bone-implant interface. moreover, cortical bone fractures occurred
at
10,000-20,000 microstrain. In the present study, all peri-implant
bones at the
loading side were discovered over 4000 microstrain, to reach
pathological overload
zone. This study was applied the maximum biting force during
chewing and
performed a load step of static simulation, hence, the results of
the FE models
could appear a exceed strain magnitude to induce the bone
resorption.
The concept was the same as section 4.1.3, thus the larger area
could more
evenly distributed stress and increased the structural stability
for mutiple
implants-retained overdenture. But particular, two-
implant-retained overdenture
should be suggested to inserte away from biting side to avoid
direct compression
on the implant.
4.2 Overview
The thicknesses of the cortical bone were always considered as an
important
factor to influence the biomechanical effect of implant-retained
overdenture from
previous studies, but this factor was not significantly influence
in this
three-dimensional FEA. In other words, the implant distribution was
more
important than the cortical thickness in this study.
In the two-implants retained overdenture, the implant placement
should be
inserted more forward anterior region to provide better stress
reduced and stability
incresaed. In multiple-implants retained overdenture, the implant
placement should
be dispersed in the posterior region, where closed to the biting
force to obtain a
better biomechanical effect. In the present study, we found that
different food bolus
constraint reflected different stress distribution, this parameter
should be
examined in the further study.
From the present results, the two-implants retained overdenture was
inserted
at the anterior region to maintain a better postoperative result
for short term
observation. And the reason why the implant inserted in the more
anterior
mandible may be due to (1) bone quality of anterior mandible is
better than
posterior mandible, (2) the sapce of opening mouth during surgery
is limited to
insert implant at the posterior area, and (3) the mental foramens
are located under
first premolar in the anterior region of the mandible. Therefore,
in order to avoid
injuring the nerve, implant is often inserted in front of the first
premolar in clinic.
77
4.3 Limitation
1. To simplify the material properties were assumed to be
homogeneous and
isotropic which was not consisted with human body.
2. The loading condition of muscular forces in direction and
attachment area was
simplified.
3. Real implant should be two-piece structures, but this study was
eliminate the
interface between abutment and implant as one-piece
structure.
4. The interface between the cap of attachment and the ball
ofabutment was
simplified without clasp.
5. The bolus was placed at the first molar to simulate grinding the
foodstuff.
78
1. The effects of cortical thickness for investigating the
implant-retained
overdenture models were not more important than implant
distribution in this
preliminary study, strictly speaking, 1mm step size to increase and
decrease
cortical thickness as an average thickness applying to subject’s
cortex seemed
insufficient to reflect the cortical thickness effect of the
mandible in this study.
2. The implant-retained overdenture in two implants type was shown
the better
stability comparing with other finite element models, and
furthermore the
model 22 was evidenced more stable than the model of 66. The reason
could be
explained that the model 22, implants were mainly inserted alveolar
bone
between mental foramens, have conjectured a seesaw effect of
lateral side for
providing a better stability.
3. The bone resorption around implants was significantly evidenced
by micro
strain index in all of the finite element models. On the contrary,
the stress results
of the overdenture, attachments, and implants did not to reflect a
fracture trend
in the finite element analysis.
4. For investigating an oppression of mucosa, increasing implant
number and
more contacted region between overdenture and mucosa in the
79
implants-retained overdenture could be prevented ulcer and should
be more
dispersed stress distribution and better stability.
5. The constraint of food bolus was very sensibility to influence
the results of the
finite element analysis, hence different types of food bolus
constrain should be
further examined for understanding the biomechanical effects of
the
implant-retained overdenture models.
6. The preliminary results of the complete anatomical
implant-retained
overdenture of the 3D finite element analysis was evidenced the
same
tendency with a clinical treatment option, thus why two implant
inserted and
anterior region placement was applied more popular.
80
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