Is the golden ratio present in the coxal bone? An anatomical pilot study

Area of Science:

• Anatomy
• Anthropometry
• Biophysics

Background:

• The coxal bone is vital for locomotion, stability, and childbirth.
• Existing morphometric studies focus on age and gender estimation, lacking analysis of golden ratios.
• The golden ratio's presence in biological structures is well-documented, but not yet in the coxal bone.

Purpose of the Study:

• To investigate the presence and significance of the golden ratio within the human coxal bone.
• To identify and quantify new mathematical ratios between anatomical landmarks of the coxal bone.
• To provide a basis for improved surgical accuracy and anatomical understanding.

Main Methods:

• Measurement of 95 adult dry coxal bones using a digital caliper.
• Collection of 18 morphometric parameters, including 12 distance measurements between anatomical points.
• Calculation of new ratios and development of predictive equations based on detected constant coefficients.

Main Results:

• A constant coefficient was identified between specific measurements, including ASIS-PSIS and AIIS-PIIS, and acetabular diameters.
• New equations were formulated to estimate distances, demonstrating accuracy based on detected ratios.
• Significant constant ratios were found between various coxal bone lengths.

Conclusions:

• The study confirms the existence of constant ratios, akin to the golden ratio, within the coxal bone.
• These identified ratios can serve as a guide for surgeons, potentially preventing complications during procedures.
• The findings contribute novel quantitative data to coxal bone morphometry and surgical anatomy.