CAVALIERI YÖNTEMİ KULLANILARAK HACİM HESAPLAMASININ KLİNİK ÖNEMİ: DERLEME

Abstract

Hacimsel ölçümler, organların, dokuların ve patolojik yapıların morfolojik özelliklerinin nicel değerlendirmesinde temel bir parametredir. Bununla birlikte, biyolojik yapıların düzensiz geometrisi, klasik geometrik hacim hesaplama yöntemlerinin doğruluğunu sınırlamakta ve geometrik varsayımlardan bağımsız, tarafsız ve tekrarlanabilir yaklaşımlara olan ihtiyacı ortaya çıkarmaktadır. Bu bağlamda, 17. yüzyılda Bonaventura Cavalieri tarafından geliştirilen Cavalieri yöntemi, hacim tahmini için güvenilir bir stereolojik teknik olarak öne çıkmaktadır. Eşit aralıklı kesitlerden elde edilen iki boyutlu alanların toplamının kesit kalınlığı ile çarpılmasına dayanır ve sistematik rastgele örnekleme (SRS) prensibiyle birleştirildiğinde, üç boyutlu yapıların doğru bir temsilini sağlar. Bu inceleme, 1985 ile 2025 yılları arasında PubMed, Scopus ve Web of Science veritabanlarında "Cavalieri yöntemi", "stereoloji", "hacim tahmini", "klinik volümetri" ve "morfometri" anahtar kelimeleri kullanılarak literatür taraması yapılarak gerçekleştirilmiştir. Stereolojik hacim tahminini doğrudan içeren orijinal araştırma makaleleri, klinik çalışmalar ve metodolojik makaleler dahil edildi; konferans özetleri ve stereolojik metodoloji içermeyen çalışmalar ise hariç tutuldu. Bu inceleme, Cavalieri yönteminin metodolojik temellerini ve nöroanatomi, hepatoloji, onkoloji, ortopedi ve solunum sistemi gibi alanlardaki klinik uygulamalarını değerlendirmektedir. Beyin, karaciğer, tümör, kas ve kemik hacimlerinin doğru ölçümü, erken teşhis, tedavi takibi ve cerrahi planlamada önemli klinik öneme sahiptir. Yöntemin en büyük avantajı, geometrik varsayımlardan bağımsız olması ve düzensiz şekilli yapılarda bile tarafsız hacim tahminine olanak sağlamasıdır. Ayrıca, dijital görüntüleme yöntemleriyle (BT, MR) ve bilgisayar destekli analiz yazılımlarıyla entegrasyonu, gözlemci hatalarını en aza indirir ve tekrarlanabilirliği artırır.

Keywords

• Cavalieri yöntemi
• Stereolojik hacim ölçümü
• Klinik volümetri
• sistematik rastgele örnekleme

Supporting Institution

Yazarlar bu çalışmanın herhangi bir finansal destek almadığını beyan etmişlerdir

Ethical Statement

Bu makale, daha önce yayınlanmış literatürün bir incelemesidir. Yazarlar tarafından insan katılımcılar veya hayvanlar üzerinde yürütülen herhangi bir çalışma içermediğinden etik onay gerekmemektedir. Tüm kaynaklara uygun şekilde atıfta bulunulmuştur.

The Clinical Significance of Volume Calculation Using The Cavalieri Method: A Review

Abstract

Volumetric measurements are a fundamental parameter in the quantitative assessment of the morphological characteristics of organs, tissues, and pathological structures. However, the irregular geometry of biological structures limits the accuracy of classical geometric volume calculation methods, creating a need for approaches that are independent of geometric assumptions, unbiased, and reproducible. In this context, the Cavalieri method, developed by Bonaventura Cavalieri in the 17th century, stands out as a reliable stereological technique for volume estimation. It is based on multiplying the sum of two-dimensional areas obtained from equidistant sections by the section thickness and, when combined with the systematic random sampling (SRS) principle, provides an accurate representation of three-dimensional structures. This review was conducted by screening the literature in PubMed, Scopus, and Web of Science databases between 1985 and 2025 using the keywords “Cavalieri method,” “stereology,” “volume estimation,” “clinical volumetry,” and “morphometry.” Original research articles, clinical studies, and methodological papers directly involving stereological volume estimation were included, while conference abstracts, and studies without stereological methodology were excluded. The review evaluates both the methodological foundations of the Cavalieri principle and its clinical applications in fields such as neuroanatomy, hepatology, oncology, orthopedics, and the respiratory system. Accurate measurement of brain, liver, tumor, muscle, and bone volumes has significant clinical importance in early diagnosis, treatment monitoring, and surgical planning. A major advantage of the method is its independence from geometric assumptions, allowing unbiased volume estimation even in irregularly shaped structures. Furthermore, its integration with digital imaging modalities (CT, MRI) and computer-aided analysis software minimizes observer errors and enhances reproducibility.

Keywords

• Cavalieri method
• Stereological volume estimation
• Clinical volumetry
• Systematic random sampling

Supporting Institution

The authors declare that this study received no financial support.

Ethical Statement

This article is a review of previously published literature. As it does not involve any studies conducted by the authors on human participants or animals, ethical approval was not required. All sources have been appropriately cited.

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