181013_01 JDAS_Research_Journal_Vol-II Issue 1

Objectives: In recent years, substantial effort has been evident in the field of mathematical analysis of the dental arch curve, particularly of children from varied age groups and diverse ethnic and national origins. Many eminent authors have put forth mathematical models to describe the teeth arch curve in humans. Each such model had advantages and disadvantages, but none could exactly define the shape of the human dental arch curvature and factor in its features like shape, spacing and symmetry/asymmetry. Recent advances in imaging techniques and computer-aided simulation have added to the attempts to determine dental arch form in children in normal occlusion. This paper presents key mathematical models & compares them through some secondary research study. Methods: Various studies and mathematical models were compared and analyzed particularly in prediction, correction and alignment of dental arch. Results: Commonly used plaster model analysis is cumbersome, whereas many scanning tools, like laser, computer tomography scans, structured light, magnetic resonance imaging, and ultrasound techniques, do exist now for accurate 3-D reconstruction of the human anatomy. The plaster orthodontic methods can verily be replaced successfully by 3-D models using computer images for arriving at better accurate results of study. Conclusion: Mathematical analysis, though now quite old, can be applied satisfactorily in various issues relating to dentistry and the advances in computer imaging, digitalization and computer analysis through state-ofthe-art software programs. This could in turn usher in an ideal dental care and treatment environment so necessary for countering lack of dental awareness and prevalence of dental diseases and inconsistencies in children across the world.