15Nov 2017

CORRELATION BETWEEN MAXILLARY ARCH PERIMETER OF PRE AND POST ORTHODONTIC STUDY MODELS USING RAMANUJANS EQUATION FOR PERIMETER OF ELLIPSE.

  • Post Graduate student, Department of Orthodontics & Dento-facial Orthopedics, Pandit Deendayal Upadhyay Dental College & Hospital. Kegaon, Solapur- 413255. Maharashtra, India.
  • Professor and HOD, Department of Orthodontics & Dento-facial Orthopedics, Pandit Deendayal Upadhyay Dental College & Hospital. Kegaon, Solapur- 413255. Maharashtra, India.
  • Reader, Department of Orthodontics & Dento-facial Orthopedics, Pandit Deendayal Upadhyay Dental College & Hospital. Kegaon, Solapur- 413255. Maharashtra, India.
  • Senior Lecturer, Department of Orthodontics & Dento-facial Orthopedics, Pandit Deendayal Upadhyay Dental College & Hospital. Kegaon, Solapur- 413255. Maharashtra, India.
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Introduction: The most common problem encountered in borderline case is whether to extract or to expand the dental arch. The prediction of increase or decrease in arch perimeter by expansion or protraction or retroclination of incisors is a very much decisive. Materials and Method: 25 pairs of pre and post orthodontically treated study models were evaluated and correlated for measured arch perimeter with predicted arch length obtained by applying Ramanujan?s equation for perimeter of ellipse. Linear and circumferential measurements were done directly on mid-buccal surfaces. Results: Ramanujan\'s equation had a high level of correlation (0.99) when comparing the measured perimeter of the maxillary arch with the calculated arch perimeter with 1.28% error. Conclusion: The ellipse is an accurate geometric shape that best fits the maxillary arch. The increase and decrease in the arch-length after expansion, proclination or retroclination of teeth can also be very well predicted.

  1. English JD. Mosby?s orthodontic review. St Louis: Mosby; 2009. pg.132.
  2. Bishara SE, Staley RV. Maxillary expansion: clinical implications. Am J Orthod Dentofacial Orthop 1987;91:13-4.
  3. Steiner CC. Cephalometrics for you and me. Am J Orthod 1953;39:729-54.
  4. Bolton WA. Disharmony in tooth size and its relation to the analysis and treatment of malocclusion. Angle Orthod 1958;28:113-30.
  5. Holdaway RA. A soft-tissue cephalometric analysis and its use in orthodontic treatment planning. Part I. Am J Orthod 1983 ;84: 1-28.
  6. Chung DD, Wolfgramm R. Maxillary arch perimeter prediction using Ramanujan\'s equation for the ellipse. Am J Orthod Dentofacial Orthop 2015;147:235-41.
  7. Zou W, Jiang JH, Xu TM, Wu JQ. Relationship between mandibular dental and basal bone arch forms for severe skeletal Class III patients. Am J Orthod Dentofacial Orthop 2015;147:37-44.
  8. Tweed CH. Clinical orthodontics, Volume 1. St Louis: Mosby;1966.
  9. Begg PR. Begg orthodontic theory and technique. Philadelphia:Saunders; 1965.
  10. Germane N, Lindauer SJ, Rubenstein LK, Revere JH Jr, Isaacson RJ. Increase in arch perimeter due to orthodontic expansion. Am J Orthod Dentofacial Orthop 1991;100:421-7.
  11. Hnat WP, Braun S, Chinhara A, Legan HL. The relationship of arch length to alterations in dental arch width. Am J Orthod Dentofacial Orthop 2000;118:184-8.
  12. Jones ML, Richmond S. An assessment of the fit of a parabolic curve to pre- and post-treatment dental arches. Br J Orthod 1989;16:85-93.
  13. Dahlberg G. Statistical methods for medical and biological students. New York: Interscience Publications; 1940.
  14. Prasolov VV, Tikhomirov VM. Geometry. Providence, RI: American Mathematical Society; 2001. pg. 80.
  15. Noroozi H, Djavid GE, Moeinzad H, Teimouri AP. Prediction of arch perimeter changes due to orthodontic treatment. Am J Orthod Dentofacial Orthop 2002;122:601-7.
  16. Ricketts RM, Roth RH, Chaconis SJ, Schulhof RJ, Engel GA. Orthodontic diagnosis and planning. Denver, Colo: Rocky Mountain Orthodontics;1982. pg. 194-200.
  17. Adkins MD, Nanda RS, Currier GF. Arch perimeter changes in rapid palatal expansion. Am J Orthod Dentofacial Orthop 1990;97:194-9.
  18. Akkaya S, Lorenzon S, Ucem TT. Comparison of dental arch and arch perimeter changes between bonded rapid and slow maxillary expansion procedures. Eur J Orthod 1998;20:255-61.

[Sayyed Mohammed Qadri, Sunilkumar P, Chandrashekhargouda Patil, Akash Lavate, Prashant Yaragamblimath and Sneha Hoshing. (2017); CORRELATION BETWEEN MAXILLARY ARCH PERIMETER OF PRE AND POST ORTHODONTIC STUDY MODELS USING RAMANUJANS EQUATION FOR PERIMETER OF ELLIPSE. Int. J. of Adv. Res. 5 (Nov). 391-397] (ISSN 2320-5407). www.journalijar.com

Dr. Sayyed Mohammed Qadri
PG Student, PDU Dental College, Solapur

DOI:

Article DOI: 10.21474/IJAR01/5781      
DOI URL: http://dx.doi.org/10.21474/IJAR01/5781

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