Mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies

© 2019 Wiley Periodicals, Inc. Background: Total stability of dental implant can be obtained from resonance frequency analysis (RFA) device, but without primary and secondary stability values. Purpose: To formulate mathematical equations for dental implant stability patterns during the osseointegrat...

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Main Authors: Attakorn Charatchaiwanna, Thaned Rojsiraphisa, Weerapan Aunmeungtong, Peter A. Reichart, Pathawee Khongkhunthian
Format: Journal
Published: 2019
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/66644
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-666442019-09-16T12:51:08Z Mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies Attakorn Charatchaiwanna Thaned Rojsiraphisa Weerapan Aunmeungtong Peter A. Reichart Pathawee Khongkhunthian Dentistry © 2019 Wiley Periodicals, Inc. Background: Total stability of dental implant can be obtained from resonance frequency analysis (RFA) device, but without primary and secondary stability values. Purpose: To formulate mathematical equations for dental implant stability patterns during the osseointegration period. Materials and Methods: An online systematically search of the literature between January 1996 and December 2017 was performed for all prospective clinical trials that measured implant stability using RFA device during the osseointegration period. Initial mathematical function with adjustable parameters were created. Then curve-fitting was performed using a computerized program to formulate mathematical equations stability patterns. Results: Nine publications (24 study groups) were included in the mathematical analysis. Curve fitting with low sum of squared errors could be applied in all studies, except one. The stability has been divided into high, medium, and low stability. The curve fitting showed stability dip areas and intersection point which predict the returning of the stability to reach the primary stability. The study groups with low primary stability showed the poorest results, the high and medium stability group showed the stability pattern following the assumed primary stability pattern according to the mathematic equations. Conclusions: The model of primary and secondary stability could be predicted from the proposed equations. 2019-09-16T12:51:08Z 2019-09-16T12:51:08Z 2019-01-01 Journal 17088208 15230899 2-s2.0-85070087875 10.1111/cid.12828 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85070087875&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/66644
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Dentistry
spellingShingle Dentistry
Attakorn Charatchaiwanna
Thaned Rojsiraphisa
Weerapan Aunmeungtong
Peter A. Reichart
Pathawee Khongkhunthian
Mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies
description © 2019 Wiley Periodicals, Inc. Background: Total stability of dental implant can be obtained from resonance frequency analysis (RFA) device, but without primary and secondary stability values. Purpose: To formulate mathematical equations for dental implant stability patterns during the osseointegration period. Materials and Methods: An online systematically search of the literature between January 1996 and December 2017 was performed for all prospective clinical trials that measured implant stability using RFA device during the osseointegration period. Initial mathematical function with adjustable parameters were created. Then curve-fitting was performed using a computerized program to formulate mathematical equations stability patterns. Results: Nine publications (24 study groups) were included in the mathematical analysis. Curve fitting with low sum of squared errors could be applied in all studies, except one. The stability has been divided into high, medium, and low stability. The curve fitting showed stability dip areas and intersection point which predict the returning of the stability to reach the primary stability. The study groups with low primary stability showed the poorest results, the high and medium stability group showed the stability pattern following the assumed primary stability pattern according to the mathematic equations. Conclusions: The model of primary and secondary stability could be predicted from the proposed equations.
format Journal
author Attakorn Charatchaiwanna
Thaned Rojsiraphisa
Weerapan Aunmeungtong
Peter A. Reichart
Pathawee Khongkhunthian
author_facet Attakorn Charatchaiwanna
Thaned Rojsiraphisa
Weerapan Aunmeungtong
Peter A. Reichart
Pathawee Khongkhunthian
author_sort Attakorn Charatchaiwanna
title Mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies
title_short Mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies
title_full Mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies
title_fullStr Mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies
title_full_unstemmed Mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies
title_sort mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies
publishDate 2019
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85070087875&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/66644
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