Data · dataset · 2020
Ramanujan's equation for calculation of Maxillary Arch perimeter
Listed in Teesside University Research Data Repository
The data consists of calculated Maxillary Arch perimetre based on Ramanujan's equation of ellipsoid.
Description
The equation gives us the perimeter of the elliptical model that is fitted to the Maxillary arch. It requires measurement semi Major axis 'a' and semiminor axis 'b'.
The equation is a complex mathematical expression. This mathematical expression is converted into a formula for automated data entry in excel sheet. The calculated arch perimetre(CP) derived mathematically is compared with the measured arch perimetre(MP) on the models manually.
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The Intermolar molar width(IMW), Inter Canine Width(ICW) , and Inter Molar width perpendicular were also measured. All these measurements can have an effect on the maxillary arch perimeter. The relationship between CP, MP and other parameters was assessed in three different classes of malocclusion.
These models class I, Class II, Class III were selected based on certain cephalometric criteria. The distobuccal cusp of the second molar was marked. The midpoint between the central incisors is also marked.
The horizontal distance between the left and right second molars at the cuspal points provides the IMW. The perpendicular distance from the midpoint of IMW line to the central point of incisors ( IMW Per) provides us the arch length. It also indicates the arch length that can be increased or decreased with the proclination or retroclination of the Central Incisors.
The arch perimeter can be increased for gaining space during the correction of malocclusion by non-extraction means. The perimeter can be either increased by Increase in IMW or IMW per. The amount of space that can be gained is accurately derived by this mathematical expression.
Links
Where it is published
- DOI doi.org/10.17632/ryc5y6c7k7.2 ↗
DOI / persistent id · from researchdata tees ac uk
Catalogue records · 1
- OAI-PMH record data.mendeley.com/oai?verb=GetRecord&metadataPrefix=oai_dc&identifier=oai%3Adata… ↗
metadata API · from researchdata tees ac uk
Topics
- From keywords
- Earth & Environmental Science
Provenance · 1 source records, 6 field assertions
| Source | Key | Last seen | Raw |
|---|---|---|---|
| Teesside University Research Data Repository | oai:data.mendeley.com/ryc5y6c7k7.2 | 14 h ago | JSON v1 |
| Field | Assertion | Extractor | Evidence |
|---|---|---|---|
| access_level | source · researchdata tees ac uk | connector:researchdata_tees_ac_uk@1.0.0 | |
| concepts[field].local:field:earth-environmental | mapping · researchdata tees ac uk | connector:researchdata_tees_ac_uk@1.0.0 | |
| description | source · researchdata tees ac uk | connector:researchdata_tees_ac_uk@1.0.0 | /metadata/dc/description |
| license | source · researchdata tees ac uk | connector:researchdata_tees_ac_uk@1.0.0 | /metadata/dc/rights |
| publication_date | source · researchdata tees ac uk | connector:researchdata_tees_ac_uk@1.0.0 | |
| title | source · researchdata tees ac uk | connector:researchdata_tees_ac_uk@1.0.0 | /metadata/dc/title |