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Development of predictive equations for estimating regional cross-sectional areas of the quadriceps femoris in untrained young women using anthropometric measurements

Igor Henrique de Aguiar Leite, Igor José Soares Rodrigues, Giovanna Pernetti, Kailany da Costa Pires, Frank Douglas Tourino, Rodrigo César Ribeiro Diniz et al. · Muscles Ligaments and Tendons Journal · 2026

Researchers developed simple measurement formulas to estimate the size of quadriceps muscles in young women using just thigh circumference and skinfold thickness, with ultrasound as the gold standard for verification. Several of the resulting equations showed prediction errors between 7.2% and 19.9%, which are comparable to existing methods used in clinical and performance settings.
Takeaway: Use thigh circumference and skinfold measurements at mid-thigh and lower-thigh positions as a low-cost alternative to estimate your quadriceps muscle size if imaging isn't accessible.
Abstract (source)

Background: The assessment of muscle cross-sectional area (CSA) is widely used in both clinical and performance contexts, as it reflects morphological changes associated with strength training-induced hypertrophy and muscle atrophy in conditions such as sarcopenia. Although imaging techniques such as computed tomography, magnetic resonance imaging, and ultrasonography provide accurate analyses of CSA, their high cost and the need for specialized professionals limit their routine application. In this context, low-cost indirect

Methods: , such as anthropometric measurements, emerge as viable alternatives.

Aim: This study aimed to develop predictive equations to estimate the CSA of the quadriceps femoris (QF) muscle and its respective portions, rectus femoris (RF), vastus lateralis (VL), vastus intermedius (VI), and vastus medialis (VM), using thigh circumference and skinfold measurements taken at 50% and 70% of femur length, with ultrasonography as the reference

Method: .

Materials and methods: Thirty-six untrained young women participated (body mass: 56.08 ± 17.79 kg; height: 1.60 ± 0.05 m; age: 21.00 ± 2.16 years). Circumference and skinfold thickness measurements were taken at both 50% and 70% of femur length (FL) for each muscle. Muscle CSA was assessed using panoramic-view ultrasonography.

Results: Ten multiple linear regression equations were developed, six of which showed relative errors ranging from 7.2% to 19.9%, which are comparable to or lower than values reported in existing models, given the equations 50% of CF for VL r 2 = 0.351; SEEr = 12.4%, VI r 2 = 0.5046; SEEr = 13.5%, VM r 2 = 0.190; SEEr = 12.9% and QF r 2 = 0.356; SEEr = 12.4% and at 70% of CF for VI r 2 = 0.200; SEEr = 17.8% and QF r 2 = 0.356; SEEr = 12.4%.

Conclusions: The

results presented indicate that, although some equations have moderate coefficients of determination, the error levels found demonstrate potential for application, as they approach the precision of already established equations.

Primary studyOpen accessResistance Training & Hypertrophy
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