Evaluation of the Golden Ratio in Nasal Conchae for Surgical Anatomy
Purpose: The golden ratio is reached by the fractal model of the number sequence which is known as the “Fibonacci series” and has a convergent ratio of approximately 1.618 between 2 consecutive Fibonacci numbers. Golden ratio relationships have been shown in several plants in the nature and several...
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Veröffentlicht in: | Ear, nose, & throat journal nose, & throat journal, 2021-01, Vol.100 (1), p.NP57-NP61 |
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creator | Petekkaya, Emine Ulusoy, Mahinur Bagheri, Hassan Şanlı, Şükrü Ceylan, Mehmet Seyit Dokur, Mehmet Karadağ, Mehmet |
description | Purpose:
The golden ratio is reached by the fractal model of the number sequence which is known as the “Fibonacci series” and has a convergent ratio of approximately 1.618 between 2 consecutive Fibonacci numbers. Golden ratio relationships have been shown in several plants in the nature and several organs and structures in the human body. The conchae, which form an important part of the nasal valve, have a special geometric significant in terms of providing turbulence to the laminar airflow that passes to the nasal cavity.
Methods:
This study made golden ratio calculations on 34 adults aged 20 to 45 years over computed tomography (CT) images. Totally, 34 volunteers (male, n = 18 and female, n = 16) with no nasal pathologies participated in the study. Using Adobe Photoshop, golden ratio calculations were made by applying the Fibonacci spiral on the images that best showed the conchae and meatuses on the CT images.
Results:
The intersection points of the spiral that was projected on the inferior and middle nasal concha were determined as S0, S1, S2, S3, and S4. The distances of S0-S1, S1-S2, S2-S3, and S3-S4 were measured. The concha measurements of the women showed significantly similar values to the golden ratio constant of ∼1.618 in the RS3/S4 and LS3/S4 measurements.
Conclusion:
We found that the S3/S4 region that captured the golden ratio in our study corresponds to the base part of the inferior nasal concha, and its place of spiraling in the nasal cavity is observed to have an important role in creating vortices. |
doi_str_mv | 10.1177/0145561319862786 |
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The golden ratio is reached by the fractal model of the number sequence which is known as the “Fibonacci series” and has a convergent ratio of approximately 1.618 between 2 consecutive Fibonacci numbers. Golden ratio relationships have been shown in several plants in the nature and several organs and structures in the human body. The conchae, which form an important part of the nasal valve, have a special geometric significant in terms of providing turbulence to the laminar airflow that passes to the nasal cavity.
Methods:
This study made golden ratio calculations on 34 adults aged 20 to 45 years over computed tomography (CT) images. Totally, 34 volunteers (male, n = 18 and female, n = 16) with no nasal pathologies participated in the study. Using Adobe Photoshop, golden ratio calculations were made by applying the Fibonacci spiral on the images that best showed the conchae and meatuses on the CT images.
Results:
The intersection points of the spiral that was projected on the inferior and middle nasal concha were determined as S0, S1, S2, S3, and S4. The distances of S0-S1, S1-S2, S2-S3, and S3-S4 were measured. The concha measurements of the women showed significantly similar values to the golden ratio constant of ∼1.618 in the RS3/S4 and LS3/S4 measurements.
Conclusion:
We found that the S3/S4 region that captured the golden ratio in our study corresponds to the base part of the inferior nasal concha, and its place of spiraling in the nasal cavity is observed to have an important role in creating vortices.</description><identifier>ISSN: 0145-5613</identifier><identifier>EISSN: 1942-7522</identifier><identifier>DOI: 10.1177/0145561319862786</identifier><identifier>PMID: 31364404</identifier><language>eng</language><publisher>Los Angeles, CA: SAGE Publications</publisher><subject>Adult ; Adults ; Anatomy & physiology ; Biometry - methods ; Female ; Healthy Volunteers ; Humans ; Male ; Middle Aged ; Nasal Cavity - anatomy & histology ; Nasal Cavity - diagnostic imaging ; Nose ; Otolaryngology ; Tomography ; Tomography, X-Ray Computed ; Turbinates - anatomy & histology ; Turbinates - diagnostic imaging ; Young Adult</subject><ispartof>Ear, nose, & throat journal, 2021-01, Vol.100 (1), p.NP57-NP61</ispartof><rights>The Author(s) 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c407t-26c4a2f9ae9ae1ff83bf376f8798e5277bd4cc11f3c86eaab012c3be2b1d268e3</citedby><cites>FETCH-LOGICAL-c407t-26c4a2f9ae9ae1ff83bf376f8798e5277bd4cc11f3c86eaab012c3be2b1d268e3</cites><orcidid>0000-0002-5366-2425</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1177/0145561319862786$$EPDF$$P50$$Gsage$$H</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1177/0145561319862786$$EHTML$$P50$$Gsage$$H</linktohtml><link.rule.ids>314,780,784,864,21966,27853,27924,27925,44945,45333</link.rule.ids><linktorsrc>$$Uhttps://journals.sagepub.com/doi/full/10.1177/0145561319862786?utm_source=summon&utm_medium=discovery-provider$$EView_record_in_SAGE_Publications$$FView_record_in_$$GSAGE_Publications</linktorsrc><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/31364404$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Petekkaya, Emine</creatorcontrib><creatorcontrib>Ulusoy, Mahinur</creatorcontrib><creatorcontrib>Bagheri, Hassan</creatorcontrib><creatorcontrib>Şanlı, Şükrü</creatorcontrib><creatorcontrib>Ceylan, Mehmet Seyit</creatorcontrib><creatorcontrib>Dokur, Mehmet</creatorcontrib><creatorcontrib>Karadağ, Mehmet</creatorcontrib><title>Evaluation of the Golden Ratio in Nasal Conchae for Surgical Anatomy</title><title>Ear, nose, & throat journal</title><addtitle>Ear Nose Throat J</addtitle><description>Purpose:
The golden ratio is reached by the fractal model of the number sequence which is known as the “Fibonacci series” and has a convergent ratio of approximately 1.618 between 2 consecutive Fibonacci numbers. Golden ratio relationships have been shown in several plants in the nature and several organs and structures in the human body. The conchae, which form an important part of the nasal valve, have a special geometric significant in terms of providing turbulence to the laminar airflow that passes to the nasal cavity.
Methods:
This study made golden ratio calculations on 34 adults aged 20 to 45 years over computed tomography (CT) images. Totally, 34 volunteers (male, n = 18 and female, n = 16) with no nasal pathologies participated in the study. Using Adobe Photoshop, golden ratio calculations were made by applying the Fibonacci spiral on the images that best showed the conchae and meatuses on the CT images.
Results:
The intersection points of the spiral that was projected on the inferior and middle nasal concha were determined as S0, S1, S2, S3, and S4. The distances of S0-S1, S1-S2, S2-S3, and S3-S4 were measured. The concha measurements of the women showed significantly similar values to the golden ratio constant of ∼1.618 in the RS3/S4 and LS3/S4 measurements.
Conclusion:
We found that the S3/S4 region that captured the golden ratio in our study corresponds to the base part of the inferior nasal concha, and its place of spiraling in the nasal cavity is observed to have an important role in creating vortices.</description><subject>Adult</subject><subject>Adults</subject><subject>Anatomy & physiology</subject><subject>Biometry - methods</subject><subject>Female</subject><subject>Healthy Volunteers</subject><subject>Humans</subject><subject>Male</subject><subject>Middle Aged</subject><subject>Nasal Cavity - anatomy & histology</subject><subject>Nasal Cavity - diagnostic imaging</subject><subject>Nose</subject><subject>Otolaryngology</subject><subject>Tomography</subject><subject>Tomography, X-Ray Computed</subject><subject>Turbinates - anatomy & histology</subject><subject>Turbinates - diagnostic imaging</subject><subject>Young Adult</subject><issn>0145-5613</issn><issn>1942-7522</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp1kNtLwzAUxoMobk7ffZKAL75Uc2suj2POKQwFL88lTZOto2tm0wr7703ZVBgIBw5853e-k3wAXGJ0i7EQdwizNOWYYiU5EZIfgSFWjCQiJeQYDPtx0s8H4CyEFUJR4PgUDCimnDHEhuB--qWrTrelr6F3sF1aOPNVYWv42ouwrOGzDrqCE1-bpbbQ-Qa-dc2iNFEc17r16-05OHG6CvZi30fg42H6PnlM5i-zp8l4nhiGRJsQbpgmTmkbCzsnae6o4E4KJW1KhMgLZgzGjhrJrdY5wsTQ3JIcF4RLS0fgZue7afxnZ0ObrctgbFXp2vouZIRwEX-lkIzo9QG68l1Tx9dlhHGlJMVMRQrtKNP4EBrrsk1TrnWzzTDK-oSzw4TjytXeuMvXtvhd-Ik0AskOCHph_67-a_gNiYqBNg</recordid><startdate>202101</startdate><enddate>202101</enddate><creator>Petekkaya, Emine</creator><creator>Ulusoy, Mahinur</creator><creator>Bagheri, Hassan</creator><creator>Şanlı, Şükrü</creator><creator>Ceylan, Mehmet Seyit</creator><creator>Dokur, Mehmet</creator><creator>Karadağ, Mehmet</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>4T-</scope><scope>K9.</scope><scope>NAPCQ</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0002-5366-2425</orcidid></search><sort><creationdate>202101</creationdate><title>Evaluation of the Golden Ratio in Nasal Conchae for Surgical Anatomy</title><author>Petekkaya, Emine ; Ulusoy, Mahinur ; Bagheri, Hassan ; Şanlı, Şükrü ; Ceylan, Mehmet Seyit ; Dokur, Mehmet ; Karadağ, Mehmet</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c407t-26c4a2f9ae9ae1ff83bf376f8798e5277bd4cc11f3c86eaab012c3be2b1d268e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Adult</topic><topic>Adults</topic><topic>Anatomy & physiology</topic><topic>Biometry - methods</topic><topic>Female</topic><topic>Healthy Volunteers</topic><topic>Humans</topic><topic>Male</topic><topic>Middle Aged</topic><topic>Nasal Cavity - anatomy & histology</topic><topic>Nasal Cavity - diagnostic imaging</topic><topic>Nose</topic><topic>Otolaryngology</topic><topic>Tomography</topic><topic>Tomography, X-Ray Computed</topic><topic>Turbinates - anatomy & histology</topic><topic>Turbinates - diagnostic imaging</topic><topic>Young Adult</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Petekkaya, Emine</creatorcontrib><creatorcontrib>Ulusoy, Mahinur</creatorcontrib><creatorcontrib>Bagheri, Hassan</creatorcontrib><creatorcontrib>Şanlı, Şükrü</creatorcontrib><creatorcontrib>Ceylan, Mehmet Seyit</creatorcontrib><creatorcontrib>Dokur, Mehmet</creatorcontrib><creatorcontrib>Karadağ, Mehmet</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Docstoc</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>Nursing & Allied Health Premium</collection><collection>MEDLINE - Academic</collection><jtitle>Ear, nose, & throat journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Petekkaya, Emine</au><au>Ulusoy, Mahinur</au><au>Bagheri, Hassan</au><au>Şanlı, Şükrü</au><au>Ceylan, Mehmet Seyit</au><au>Dokur, Mehmet</au><au>Karadağ, Mehmet</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Evaluation of the Golden Ratio in Nasal Conchae for Surgical Anatomy</atitle><jtitle>Ear, nose, & throat journal</jtitle><addtitle>Ear Nose Throat J</addtitle><date>2021-01</date><risdate>2021</risdate><volume>100</volume><issue>1</issue><spage>NP57</spage><epage>NP61</epage><pages>NP57-NP61</pages><issn>0145-5613</issn><eissn>1942-7522</eissn><abstract>Purpose:
The golden ratio is reached by the fractal model of the number sequence which is known as the “Fibonacci series” and has a convergent ratio of approximately 1.618 between 2 consecutive Fibonacci numbers. Golden ratio relationships have been shown in several plants in the nature and several organs and structures in the human body. The conchae, which form an important part of the nasal valve, have a special geometric significant in terms of providing turbulence to the laminar airflow that passes to the nasal cavity.
Methods:
This study made golden ratio calculations on 34 adults aged 20 to 45 years over computed tomography (CT) images. Totally, 34 volunteers (male, n = 18 and female, n = 16) with no nasal pathologies participated in the study. Using Adobe Photoshop, golden ratio calculations were made by applying the Fibonacci spiral on the images that best showed the conchae and meatuses on the CT images.
Results:
The intersection points of the spiral that was projected on the inferior and middle nasal concha were determined as S0, S1, S2, S3, and S4. The distances of S0-S1, S1-S2, S2-S3, and S3-S4 were measured. The concha measurements of the women showed significantly similar values to the golden ratio constant of ∼1.618 in the RS3/S4 and LS3/S4 measurements.
Conclusion:
We found that the S3/S4 region that captured the golden ratio in our study corresponds to the base part of the inferior nasal concha, and its place of spiraling in the nasal cavity is observed to have an important role in creating vortices.</abstract><cop>Los Angeles, CA</cop><pub>SAGE Publications</pub><pmid>31364404</pmid><doi>10.1177/0145561319862786</doi><orcidid>https://orcid.org/0000-0002-5366-2425</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Adult Adults Anatomy & physiology Biometry - methods Female Healthy Volunteers Humans Male Middle Aged Nasal Cavity - anatomy & histology Nasal Cavity - diagnostic imaging Nose Otolaryngology Tomography Tomography, X-Ray Computed Turbinates - anatomy & histology Turbinates - diagnostic imaging Young Adult |
title | Evaluation of the Golden Ratio in Nasal Conchae for Surgical Anatomy |
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