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IOSR Journal of Computer Engineering (IOSR-JCE)
e-ISSN: 2278-0661,p-ISSN: 2278-8727, Volume 17, Issue 5, Ver. IV (Sep. – Oct. 2015), PP 01-06
www.iosrjournals.org
DOI: 10.9790/0661-17540106 www.iosrjournals.org 1 | Page
Development of a Force Acquisition Instrument for Orthodontics
John Carlo Valdez1
1
(Department of Computer Engineering, University of the East, Philippines)
Abstract : In the field of Orthodontics, various appliances and components are being utilized to facilitate tooth
movement. Tissue responses range from physiologic tooth movement to irreversible damage such as pulling a
tooth out of a socket. The aim of the study is to develop a force acquisition instrument which can accurately
measure forces applied by orthodontic components to the tooth. Furthermore, in this paper it test and present
the linearity, bias, and significant difference on the measured and true values when exposed to varying room
temperature of the developed force acquisition instrument for orthodontics.
Keywords: force acquisition instrument, orthodontics, force measurement, ortho-components
I. Introduction
Edward Angle, the father of Modern Orthodontics, is credited with the emergence of orthodontics as a
specialty. Orthodontic treatment involves movement of malpositioned teeth. Brackets are connected to the
surface of the patient’s teeth and an arch wire is placed in a slot of each bracket to move the teeth [1].
Adjustments are made with the replacement of arch wires and use of elastics and coil springs.
A dynamometer is a general instrument that evaluates an applied force. In the practice of orthodontics,
it measures the forces specifically applied on the tooth by orthodontic components. Current clinical
dynamometer is constructed for measuring tensile and compression forces exerted by the springs and elastics for
a range of 1oz-16 oz. It is calibrated with 1 oz. single line and 4 oz. double line increment. The double-ended
calibrated shaft makes it possible to evaluate pull and push forces.
An Australian research that focused on the effect of a static magnetic field on orthodontic movement in
the rat [2], measured the residual forces in each appliance from the induction of tooth movement and verified at
the end of each experimental period using a dynamometer. In [3], it demonstrated the use of the dynamometer in
their application in ensuring that the magnitude of load was always 85g from the force applied by the Ni-Ti
closed-coil springs in the effects of orthodontic load on the periodontium of autogenously transplanted teeth in
beagle dogs.
In general, the clinical dynamometer’s capability varies on the specific application in orthodontics,
ranging from simply assessing the applied force by the orthodontic appliances to estimate the tooth movement
output to standardizing the thickness of adhesive material [4], among others.
The researcher had carefully studied the clinical dynamometer being used in the dental profession.
From the testaments provided to the researcher by the dental faculty members and dental practitioners, no
dynamometer in the market has been manufactured with precise measurement and with sufficient amount of
significant numbers to accurately measure the force applied on the tooth. Dental practitioners and students use
the aid of mechanical dynamometer in measuring gram-force acting on the tooth. Though inaccurate, they
accept the truncated gram-force reading of the device with insufficient number of significant values in the
device scale.
In this study, it aims to develop a force acquisition instrument to measure these forced for orthodontics.
Specifically, it determines the acceptability of the proposed instrument, during the testing, it must satisfy the
hypothesis set to test the linearity, that no offset exist between true and measured value at the specific target
both for the minimum and maximum range, (Ho: a = 0) and bias, that slope between the true and measured
values is equal to one, (Ho: b = 1) at the accuracy of the measurements over the full range. Likewise, no
significant difference must be observed in the measurement once the instrument is exposed to varying
temperature during orthodontic procedures (Ho: c = 0).
II. Related Literature
Certain situations still pose challenges in the practice of orthodontics, even with the great advancement
in technology. The researcher is inspired by how engineering should be applied to a different field of study and
practice. With his specialty in computer engineering, the researcher is initiated to be engaged in an
interdisciplinary application between engineering and orthodontics. Thus, applying the field of biomedical
engineering to enhance and improve the efficiency of orthodontic practice.
The dental profession has to address the following challenges: properly determine the nominal force
applied during orthodontic tooth movement and how this will affect the efficiency of orthodontic tooth
movement.
Development of a Force Acquisition Instrument for Orthodontics
DOI: 10.9790/0661-17540106 www.iosrjournals.org 2 | Page
Orthodontic tooth movement is defined as “result of a biologic response to interference in the
physiologic equilibrium of the dentofacial complex by an externally applied force [5]. Only small amounts of
force might be required to effect this outcome, which is accompanied by remodeling changes in the periodontal
ligament and alveolar bone [6].
A typical mechanical dynamometer is used to measure the force enacted by elastics, arch wires and coil
springs as shown in [7]. The researcher asked Orthodontic postgraduate students in the University of the East
Graduate School to use this device. The current device used is unable to provide an exact numerical value of the
measured force. The students are unable to assume nor estimate the exact value due to the limitation of the
device. They only consider the most significant value from the scale, i.e. if there is a scale point between
20grams-force and 40 grams-force, the user cannot include the values in between.
III. Design Methodology
In this study, a system design was created to gather and measure the force applied by the orthodontic
appliances. As suggested by several research studies, a typical magnitude of force to be applied to achieved
orthodontic tooth movement ranges from 25 grams-force to 1515 grams-force [8][9][10]. However, for this
experimental set-up, forces from 5 to 550 grams-force were utilized.
A. Block Diagram
The development of the instrument was guided with the following crucial components as illustrated at
Fig. 1. The full-bridge force sensor configuration was used to acquire the force applied in the sensor in an
analog signal. In which it is necessary to convert the analog signal taken to a digital signal by means of an
analog-to-digital converter (ADC). This is to ensure that the communication of the signal is processed in
accordance to the compability of the microcontroller unit to process the gathered data. Furthermore, the ADC
increases the numerical resolution of the output signal to provide the microcontroller unit to process and display
a higher resolution in the display panel. And lastly, the switch acts a force voltage reference reset switch to
ensure that the reference reading before any measurement is set to zero.
Fig. 1. Force Measurement Instrument Block Diagram
B. Hardware Components and Circuits
In this section, it further elaborates the circuit design of each hardware components.
1) Full-Bridge Force Sensor Configuration:
The force sensor is configured to have four active elements namely the: E+, S+, S-, and E-. Where, E+
and E- are the active elements measuring compressive forces while S+ and S- are the active elements measuring
tensile forces. These pins (E+ and E-) are then connected to be fed with a voltage source, at a nominal 5V, from
the ADC circuit and pins (S+ and S-) are analog signals that holds the corresponding values of the applied force
which are then to be process by the ADC with a 10.15mV/V output rating.
Fig. 2. Full-Bridge Configuration of the Force Sensor
Development of a Force Acquisition Instrument for Orthodontics
DOI: 10.9790/0661-17540106 www.iosrjournals.org 3 | Page
2) 24-bit Analog-to-Digital Converter Circuit:
It is a 24-bit analog-to-digital converter for industrial control applications to interface with a bridge
sensor. The circuit is powered with a 5V AVDD analog power supply. An SOP-16L package integrated chip
was used to minimize the space it consumes during the design. The X1 pin (Pin 14) is set to ground to activate
the on-chip oscillator where the output data rate when it uses the internal oscillator is 10. The PD_SCK (Pin 11)
and DOUT (Pin 12) are used for data retrieval, input selection, and gain selection for the microcontroller unit.
Fig. 3. 24-bit Analog-to-Digital Converter Circuit
3) Power Supply:
The normal voltage operability of the circuits generally falls within the 5V source. This circuit ensures
that a stable source of 5V is fed to the entire circuitry system and prevent fluctuation of the voltage signal and
regulate an external battery (V1) to an output voltage with a stable 5V analog voltage.
Fig. 4. 5V Power Supply Circuit
4) PIC16F876A, Force Voltage Reference Reset Switch, and Display:
The PIC16F876A an 28-pin Shrink Small Outline Package (SSOP) which is optimal to achieve
compact design of the circuit and with reasonable operating clock speed, with the 4MHz crystal (X1) which is
ideal for real-time data acquisition processing. The processed digital output by the ADC are then fed to the RA1
(Pin 3) and RA2 (Pin 4) to numerically program the values and display the output at the three 7-segment
display. The displays are multiplex with the microcontroller unit from RB7 (Pin 28) to RB1 (Pin 22) and RC4
(Pin 15) to RC6 (Pin 17) where used to activate the particular 7-segment display and show its corresponding
reading. The VDD (Pin 20) is supplied with a +5V supply while VSS (Pin 8 and Pin 9) were set to ground. In
addition, the SW1 (Pin 6 and Pin 7) is introduced such that any measurement reading, before the actual
measurement, is always set to zero. This is to ensure that no offset will be observed once the device attempts to
conduct the measuring.
Development of a Force Acquisition Instrument for Orthodontics
DOI: 10.9790/0661-17540106 www.iosrjournals.org 4 | Page
Fig. 5. PIC16F876A and 3 7-Segment Display
C. System Flow Chart
As shown in Fig. 6, it presents the flow of the operation of the force measuring instrument from how it
gathers the force data, processing, and displaying the expected real-time values.
Fig. 6. Force Measurement Instrument Flow Chart
D. Test Procedures
The instrument underwent numerous testing to ensure that the measurement reading is stable. The
measured and true values are linear or at most nearly close to each other. And the measurement will not be
affected by the given range of room temperature. The instrument were tested using the Universal Testing
Machine (UTM) where it applied forces ranging from 40 grams-force to 550 grams-force. These force ranges
are divided into two: the minimum and maximum range of measurement, with 40-80 grams-force and 300-550
grams-force, respectively. Under each force increment in the testing, each was given with 10 test sample. The
applied force by the UTM is considered the true value in which it will then be compared with the reading taken
by the instrument which is the measured value.
Development of a Force Acquisition Instrument for Orthodontics
DOI: 10.9790/0661-17540106 www.iosrjournals.org 5 | Page
IV. Results
In this study, it was tested that the hypothesis set in the research satisfies the followings: (1) no offset
exist between the true and measured values; (2) the slope between the true and measured values is equal to one;
and (3) the measured values with respect to the true values were not affected when exposed to various levels of
room temperature.
Using the SPSS, a statistical software, the gathered data are transformed which supports to validate the
hypothesis set in this study. The followings are the results taken after the testing procedure.
Table 1. t-Test on the Significance Between the True Value and Measured Value from 40 grams-force to
80 grams-force for the Minimum Force Measurement
Measured Value
TrueValue
g-f Mean SD t-value P-value
40 39.8 0.422 -1.500 0.168
45 44.8 0.422 -1.500 0.168
50 49.8 0.422 -1.500 0.168
55 54.8 0.422 -1.500 0.168
60 59.7 0.483 -1.964 0.081
65 64.9 0.316 -1.000 0.343
70 69.7 0.675 -1.406 0.193
75 74.8 0.422 -1.500 0.168
80 79.9 0.316 -1.500 0.343
Table 2. t-Test on the Significance Between the True Value and Measured Value from 300 grams-force to
550 grams-force for the Minimum Force Measurement
Measured Value
TrueValue
g-f Mean SD t-value P-value
300 299.5 0.707 -2.236 0.052
325 324.4 0.843 -2.25 0.051
350 349.3 1.16 -1.909 0.089
375 374.7 0.483 -1.964 0.081
400 399.5 0.707 -2.236 0.052
425 424.5 0.707 -2.236 0.052
450 449.9 0.732 -0.429 0.678
475 474.5 0.972 -1.67 0.138
500 498.8 3.521 -1.078 0.309
525 524.4 0.843 -2.25 0.051
550 549.5 0.972 -1.627 0.138
Table 3. Model Summary for the Linearity of forces from 40 gram-force to 550 gram-force
Model R R2 Adjusted R2 Std. Error of the Estimate
1 1.000 1.000 1.000 2.05523
Table 4. One-Way ANOVA on the Significant Difference in the Measurement on the 50 grams-force
When Exposed to Varying Temperature
Source SS df MS F-value P-value
Columns 0.787 7 0.112 0.612 0.744
Error 13.228 72 0.184
Total 14.015 79
Table 5. One-Way ANOVA on the Significant Difference in the Measurement on the 500 grams-force
When Exposed to Varying Temperature
Source SS df MS F-value P-value
Columns 15.350 7 2.193 0.716 0.659
Error 220.599 72 3.064
Total 235.949 79
Development of a Force Acquisition Instrument for Orthodontics
DOI: 10.9790/0661-17540106 www.iosrjournals.org 6 | Page
V. Discussions
Referring to Table 1 and 2, the P-value calculated shows values which are greater than the 0.05 level of
confidence. This also suggests that the hypothesis set (Ho: a=0) is accepted. The test range is true from the
minimum measurement range of 40-80 grams-force and for the maximum measurement range of 300-550
grams-force.
A model summary, in Table 3, was generated to determine if the true and measured values produce a
slope equal to one. Using the test values taken from 40 grams-force to 550 grams-force, with 10 test samples
for each incremented forces, the R2
value is equal to one (Ha: b=1). Statistically, it suggests that there is a
perfect correlation between the values of the true and the measured force.
Lastly, under the exposure of varying temperature during testing, it determines if there is a significance
in the measured values and the true values. Using one-way ANOVA, under Table 4, the test sample at 50 grams-
force when exposed from 18C to 32C shows a P-value of 0.744. While in Table 5, at a 500 grams-force
sample, it exhibit a P-value of 0.659. Comparing the computed P-value, the instrument’s reading were
comparable with the true values when exposed to various level of room temperature.
VI. Conclusion
In this study, it was tested that the hypothesis set in the research satisfies the followings: (1) no offset
exist between the true and measured values; (2) the slope between the true and measured values is equal to one;
and (3) the measured values with respect to the true values were not affected when exposed to various levels of
room temperature.
References
[1] Parker, L., Setting It Straight – Advanced Orthodontics. Retrieved from http://www.dentalcare.com/en-US/dental-
education/continuing-education/ce326/ce326.aspx?ModuleName=coursecontent&PartID=1&SectionID=-
[2] Tengku, B., Joseph, B., Harbrow, D., Taverne, A., & Symons, A. (2010). Effect of a static magnetic field on orthodontic tooth
movement in the rat. The European Journal of Orthodontics, 22(5), 475-487.
[3] Lu, L., Sun, H.S., Xue, H., Guo, J., and Chen, Y. (2013). Effects of orthodontic load on the periodontium of autogenously
transplanted teeth in beagle dogs. Journal of Zhejiang University SCIENCE B.
[4] Invernic, S., Maruo, I., Camargo, E., Hirata, T., Maruo, H., Filho, O., and Tanaka, O. (2012). Influence of Ortho Primer Morelli
adhesion booster on orthodontic brackets shear bond strength. Dental Press J Orthod, 17(3), 31-39.
[5] Proffit, W. (2007). Biological basis of orthodontic therapy. In Contemporary Orthodontics (4th ed., pp. 331-358). Mosby, St.
Louise.
[6] Vinod, K., and Davidovitch, Z. (2006). Cellular, molecular, and tissue-level reactions to orthodontic force. American Journal of
Orthodontics and Dentofacial Orthopedics.
[7] White Oak Orthodontic Products. (2013). Force gauge dynamometer. Retrieved from
http://www.whiteoakorthodontics.com/instruments/in-ha-force-guage-dynamometer.html
[8] Ren, Y., Maltha, J., Van’t Hof, M., and Kuijpers-Jagtman, A. (2004). Optimum force magnitude for orthodontic tooth movement: a
mathematical model. Am J Orthod Dentofacial Orthop. 125(1):71-7.
[9] Krishnan, V., and Davidovitch, Z. (2015). Biological Mechanisms of Tooth Movement. 2nd
ed., Wiley Blackwell.
[10] Ren, Y., Maltha, J., Van’t Hof, M., and Kuijpers-Jagtman, A. (2003). Optimum force magnitude for orthodontic tooth movement: a
systematic literature review. Angle Orthod. (1):86-92.

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A017540106

  • 1. IOSR Journal of Computer Engineering (IOSR-JCE) e-ISSN: 2278-0661,p-ISSN: 2278-8727, Volume 17, Issue 5, Ver. IV (Sep. – Oct. 2015), PP 01-06 www.iosrjournals.org DOI: 10.9790/0661-17540106 www.iosrjournals.org 1 | Page Development of a Force Acquisition Instrument for Orthodontics John Carlo Valdez1 1 (Department of Computer Engineering, University of the East, Philippines) Abstract : In the field of Orthodontics, various appliances and components are being utilized to facilitate tooth movement. Tissue responses range from physiologic tooth movement to irreversible damage such as pulling a tooth out of a socket. The aim of the study is to develop a force acquisition instrument which can accurately measure forces applied by orthodontic components to the tooth. Furthermore, in this paper it test and present the linearity, bias, and significant difference on the measured and true values when exposed to varying room temperature of the developed force acquisition instrument for orthodontics. Keywords: force acquisition instrument, orthodontics, force measurement, ortho-components I. Introduction Edward Angle, the father of Modern Orthodontics, is credited with the emergence of orthodontics as a specialty. Orthodontic treatment involves movement of malpositioned teeth. Brackets are connected to the surface of the patient’s teeth and an arch wire is placed in a slot of each bracket to move the teeth [1]. Adjustments are made with the replacement of arch wires and use of elastics and coil springs. A dynamometer is a general instrument that evaluates an applied force. In the practice of orthodontics, it measures the forces specifically applied on the tooth by orthodontic components. Current clinical dynamometer is constructed for measuring tensile and compression forces exerted by the springs and elastics for a range of 1oz-16 oz. It is calibrated with 1 oz. single line and 4 oz. double line increment. The double-ended calibrated shaft makes it possible to evaluate pull and push forces. An Australian research that focused on the effect of a static magnetic field on orthodontic movement in the rat [2], measured the residual forces in each appliance from the induction of tooth movement and verified at the end of each experimental period using a dynamometer. In [3], it demonstrated the use of the dynamometer in their application in ensuring that the magnitude of load was always 85g from the force applied by the Ni-Ti closed-coil springs in the effects of orthodontic load on the periodontium of autogenously transplanted teeth in beagle dogs. In general, the clinical dynamometer’s capability varies on the specific application in orthodontics, ranging from simply assessing the applied force by the orthodontic appliances to estimate the tooth movement output to standardizing the thickness of adhesive material [4], among others. The researcher had carefully studied the clinical dynamometer being used in the dental profession. From the testaments provided to the researcher by the dental faculty members and dental practitioners, no dynamometer in the market has been manufactured with precise measurement and with sufficient amount of significant numbers to accurately measure the force applied on the tooth. Dental practitioners and students use the aid of mechanical dynamometer in measuring gram-force acting on the tooth. Though inaccurate, they accept the truncated gram-force reading of the device with insufficient number of significant values in the device scale. In this study, it aims to develop a force acquisition instrument to measure these forced for orthodontics. Specifically, it determines the acceptability of the proposed instrument, during the testing, it must satisfy the hypothesis set to test the linearity, that no offset exist between true and measured value at the specific target both for the minimum and maximum range, (Ho: a = 0) and bias, that slope between the true and measured values is equal to one, (Ho: b = 1) at the accuracy of the measurements over the full range. Likewise, no significant difference must be observed in the measurement once the instrument is exposed to varying temperature during orthodontic procedures (Ho: c = 0). II. Related Literature Certain situations still pose challenges in the practice of orthodontics, even with the great advancement in technology. The researcher is inspired by how engineering should be applied to a different field of study and practice. With his specialty in computer engineering, the researcher is initiated to be engaged in an interdisciplinary application between engineering and orthodontics. Thus, applying the field of biomedical engineering to enhance and improve the efficiency of orthodontic practice. The dental profession has to address the following challenges: properly determine the nominal force applied during orthodontic tooth movement and how this will affect the efficiency of orthodontic tooth movement.
  • 2. Development of a Force Acquisition Instrument for Orthodontics DOI: 10.9790/0661-17540106 www.iosrjournals.org 2 | Page Orthodontic tooth movement is defined as “result of a biologic response to interference in the physiologic equilibrium of the dentofacial complex by an externally applied force [5]. Only small amounts of force might be required to effect this outcome, which is accompanied by remodeling changes in the periodontal ligament and alveolar bone [6]. A typical mechanical dynamometer is used to measure the force enacted by elastics, arch wires and coil springs as shown in [7]. The researcher asked Orthodontic postgraduate students in the University of the East Graduate School to use this device. The current device used is unable to provide an exact numerical value of the measured force. The students are unable to assume nor estimate the exact value due to the limitation of the device. They only consider the most significant value from the scale, i.e. if there is a scale point between 20grams-force and 40 grams-force, the user cannot include the values in between. III. Design Methodology In this study, a system design was created to gather and measure the force applied by the orthodontic appliances. As suggested by several research studies, a typical magnitude of force to be applied to achieved orthodontic tooth movement ranges from 25 grams-force to 1515 grams-force [8][9][10]. However, for this experimental set-up, forces from 5 to 550 grams-force were utilized. A. Block Diagram The development of the instrument was guided with the following crucial components as illustrated at Fig. 1. The full-bridge force sensor configuration was used to acquire the force applied in the sensor in an analog signal. In which it is necessary to convert the analog signal taken to a digital signal by means of an analog-to-digital converter (ADC). This is to ensure that the communication of the signal is processed in accordance to the compability of the microcontroller unit to process the gathered data. Furthermore, the ADC increases the numerical resolution of the output signal to provide the microcontroller unit to process and display a higher resolution in the display panel. And lastly, the switch acts a force voltage reference reset switch to ensure that the reference reading before any measurement is set to zero. Fig. 1. Force Measurement Instrument Block Diagram B. Hardware Components and Circuits In this section, it further elaborates the circuit design of each hardware components. 1) Full-Bridge Force Sensor Configuration: The force sensor is configured to have four active elements namely the: E+, S+, S-, and E-. Where, E+ and E- are the active elements measuring compressive forces while S+ and S- are the active elements measuring tensile forces. These pins (E+ and E-) are then connected to be fed with a voltage source, at a nominal 5V, from the ADC circuit and pins (S+ and S-) are analog signals that holds the corresponding values of the applied force which are then to be process by the ADC with a 10.15mV/V output rating. Fig. 2. Full-Bridge Configuration of the Force Sensor
  • 3. Development of a Force Acquisition Instrument for Orthodontics DOI: 10.9790/0661-17540106 www.iosrjournals.org 3 | Page 2) 24-bit Analog-to-Digital Converter Circuit: It is a 24-bit analog-to-digital converter for industrial control applications to interface with a bridge sensor. The circuit is powered with a 5V AVDD analog power supply. An SOP-16L package integrated chip was used to minimize the space it consumes during the design. The X1 pin (Pin 14) is set to ground to activate the on-chip oscillator where the output data rate when it uses the internal oscillator is 10. The PD_SCK (Pin 11) and DOUT (Pin 12) are used for data retrieval, input selection, and gain selection for the microcontroller unit. Fig. 3. 24-bit Analog-to-Digital Converter Circuit 3) Power Supply: The normal voltage operability of the circuits generally falls within the 5V source. This circuit ensures that a stable source of 5V is fed to the entire circuitry system and prevent fluctuation of the voltage signal and regulate an external battery (V1) to an output voltage with a stable 5V analog voltage. Fig. 4. 5V Power Supply Circuit 4) PIC16F876A, Force Voltage Reference Reset Switch, and Display: The PIC16F876A an 28-pin Shrink Small Outline Package (SSOP) which is optimal to achieve compact design of the circuit and with reasonable operating clock speed, with the 4MHz crystal (X1) which is ideal for real-time data acquisition processing. The processed digital output by the ADC are then fed to the RA1 (Pin 3) and RA2 (Pin 4) to numerically program the values and display the output at the three 7-segment display. The displays are multiplex with the microcontroller unit from RB7 (Pin 28) to RB1 (Pin 22) and RC4 (Pin 15) to RC6 (Pin 17) where used to activate the particular 7-segment display and show its corresponding reading. The VDD (Pin 20) is supplied with a +5V supply while VSS (Pin 8 and Pin 9) were set to ground. In addition, the SW1 (Pin 6 and Pin 7) is introduced such that any measurement reading, before the actual measurement, is always set to zero. This is to ensure that no offset will be observed once the device attempts to conduct the measuring.
  • 4. Development of a Force Acquisition Instrument for Orthodontics DOI: 10.9790/0661-17540106 www.iosrjournals.org 4 | Page Fig. 5. PIC16F876A and 3 7-Segment Display C. System Flow Chart As shown in Fig. 6, it presents the flow of the operation of the force measuring instrument from how it gathers the force data, processing, and displaying the expected real-time values. Fig. 6. Force Measurement Instrument Flow Chart D. Test Procedures The instrument underwent numerous testing to ensure that the measurement reading is stable. The measured and true values are linear or at most nearly close to each other. And the measurement will not be affected by the given range of room temperature. The instrument were tested using the Universal Testing Machine (UTM) where it applied forces ranging from 40 grams-force to 550 grams-force. These force ranges are divided into two: the minimum and maximum range of measurement, with 40-80 grams-force and 300-550 grams-force, respectively. Under each force increment in the testing, each was given with 10 test sample. The applied force by the UTM is considered the true value in which it will then be compared with the reading taken by the instrument which is the measured value.
  • 5. Development of a Force Acquisition Instrument for Orthodontics DOI: 10.9790/0661-17540106 www.iosrjournals.org 5 | Page IV. Results In this study, it was tested that the hypothesis set in the research satisfies the followings: (1) no offset exist between the true and measured values; (2) the slope between the true and measured values is equal to one; and (3) the measured values with respect to the true values were not affected when exposed to various levels of room temperature. Using the SPSS, a statistical software, the gathered data are transformed which supports to validate the hypothesis set in this study. The followings are the results taken after the testing procedure. Table 1. t-Test on the Significance Between the True Value and Measured Value from 40 grams-force to 80 grams-force for the Minimum Force Measurement Measured Value TrueValue g-f Mean SD t-value P-value 40 39.8 0.422 -1.500 0.168 45 44.8 0.422 -1.500 0.168 50 49.8 0.422 -1.500 0.168 55 54.8 0.422 -1.500 0.168 60 59.7 0.483 -1.964 0.081 65 64.9 0.316 -1.000 0.343 70 69.7 0.675 -1.406 0.193 75 74.8 0.422 -1.500 0.168 80 79.9 0.316 -1.500 0.343 Table 2. t-Test on the Significance Between the True Value and Measured Value from 300 grams-force to 550 grams-force for the Minimum Force Measurement Measured Value TrueValue g-f Mean SD t-value P-value 300 299.5 0.707 -2.236 0.052 325 324.4 0.843 -2.25 0.051 350 349.3 1.16 -1.909 0.089 375 374.7 0.483 -1.964 0.081 400 399.5 0.707 -2.236 0.052 425 424.5 0.707 -2.236 0.052 450 449.9 0.732 -0.429 0.678 475 474.5 0.972 -1.67 0.138 500 498.8 3.521 -1.078 0.309 525 524.4 0.843 -2.25 0.051 550 549.5 0.972 -1.627 0.138 Table 3. Model Summary for the Linearity of forces from 40 gram-force to 550 gram-force Model R R2 Adjusted R2 Std. Error of the Estimate 1 1.000 1.000 1.000 2.05523 Table 4. One-Way ANOVA on the Significant Difference in the Measurement on the 50 grams-force When Exposed to Varying Temperature Source SS df MS F-value P-value Columns 0.787 7 0.112 0.612 0.744 Error 13.228 72 0.184 Total 14.015 79 Table 5. One-Way ANOVA on the Significant Difference in the Measurement on the 500 grams-force When Exposed to Varying Temperature Source SS df MS F-value P-value Columns 15.350 7 2.193 0.716 0.659 Error 220.599 72 3.064 Total 235.949 79
  • 6. Development of a Force Acquisition Instrument for Orthodontics DOI: 10.9790/0661-17540106 www.iosrjournals.org 6 | Page V. Discussions Referring to Table 1 and 2, the P-value calculated shows values which are greater than the 0.05 level of confidence. This also suggests that the hypothesis set (Ho: a=0) is accepted. The test range is true from the minimum measurement range of 40-80 grams-force and for the maximum measurement range of 300-550 grams-force. A model summary, in Table 3, was generated to determine if the true and measured values produce a slope equal to one. Using the test values taken from 40 grams-force to 550 grams-force, with 10 test samples for each incremented forces, the R2 value is equal to one (Ha: b=1). Statistically, it suggests that there is a perfect correlation between the values of the true and the measured force. Lastly, under the exposure of varying temperature during testing, it determines if there is a significance in the measured values and the true values. Using one-way ANOVA, under Table 4, the test sample at 50 grams- force when exposed from 18C to 32C shows a P-value of 0.744. While in Table 5, at a 500 grams-force sample, it exhibit a P-value of 0.659. Comparing the computed P-value, the instrument’s reading were comparable with the true values when exposed to various level of room temperature. VI. Conclusion In this study, it was tested that the hypothesis set in the research satisfies the followings: (1) no offset exist between the true and measured values; (2) the slope between the true and measured values is equal to one; and (3) the measured values with respect to the true values were not affected when exposed to various levels of room temperature. References [1] Parker, L., Setting It Straight – Advanced Orthodontics. Retrieved from http://www.dentalcare.com/en-US/dental- education/continuing-education/ce326/ce326.aspx?ModuleName=coursecontent&PartID=1&SectionID=- [2] Tengku, B., Joseph, B., Harbrow, D., Taverne, A., & Symons, A. (2010). Effect of a static magnetic field on orthodontic tooth movement in the rat. The European Journal of Orthodontics, 22(5), 475-487. [3] Lu, L., Sun, H.S., Xue, H., Guo, J., and Chen, Y. (2013). Effects of orthodontic load on the periodontium of autogenously transplanted teeth in beagle dogs. Journal of Zhejiang University SCIENCE B. [4] Invernic, S., Maruo, I., Camargo, E., Hirata, T., Maruo, H., Filho, O., and Tanaka, O. (2012). Influence of Ortho Primer Morelli adhesion booster on orthodontic brackets shear bond strength. Dental Press J Orthod, 17(3), 31-39. [5] Proffit, W. (2007). Biological basis of orthodontic therapy. In Contemporary Orthodontics (4th ed., pp. 331-358). Mosby, St. Louise. [6] Vinod, K., and Davidovitch, Z. (2006). Cellular, molecular, and tissue-level reactions to orthodontic force. American Journal of Orthodontics and Dentofacial Orthopedics. [7] White Oak Orthodontic Products. (2013). Force gauge dynamometer. Retrieved from http://www.whiteoakorthodontics.com/instruments/in-ha-force-guage-dynamometer.html [8] Ren, Y., Maltha, J., Van’t Hof, M., and Kuijpers-Jagtman, A. (2004). Optimum force magnitude for orthodontic tooth movement: a mathematical model. Am J Orthod Dentofacial Orthop. 125(1):71-7. [9] Krishnan, V., and Davidovitch, Z. (2015). Biological Mechanisms of Tooth Movement. 2nd ed., Wiley Blackwell. [10] Ren, Y., Maltha, J., Van’t Hof, M., and Kuijpers-Jagtman, A. (2003). Optimum force magnitude for orthodontic tooth movement: a systematic literature review. Angle Orthod. (1):86-92.