Using polynomial modeling for calculation of quality parameters in computer assisted sperm analysis

Öz

Measurement of sperm velocity parameters takes an important place in sperm analysis. Today, computer-assisted sperm analysis (CASA) systems are used to detect motility measurements such as VCL (Curvilinear Velocity), VSL (Linear Velocity) and VAP (Average Path Velocity). The path length of sperm cells is necessary to calculate the motility parameters and it is calculated using video processing. However, this path length is obtained by the discrete-time processing of video frames, which can lead to unrealistic results. In CASA systems, the frame rate of the videos is increased to obtain the natural path length, but in this case, it is necessary to increase the hardware cost as well. Polynomial modeling applied to measure the natural path length in discrete-time structures can solve this problem. In this study, Lagrange interpolation which is an effective polynomial modeling method was used to obtain the natural path length and velocity parameters of the sperm. The results of the study showed that, when applied the polynomial modeling to calculate VCL and VAP parameters, it was found that especially in the low frame rate, more effective data were obtained than the classical method. As a result of this study, it is recommended to use polynomial modeling in the sperm velocity calculations of CASA systems, although there is an increase in calculation time.

Anahtar Kelimeler

• Tracking (time series analysis)
• Polynomial modeling
• Sperm motility
• Lagrange interpolation
• Computer-assisted detection and diagnosis.

Using polynomial modeling for calculation of quality parameters in computer assisted sperm analysis

Öz

Sperm hız parametrelerinin ölçümü sperm analizinde önemli bir yer tutar. Günümüzde VCL (Eğrisel Hız), VSL (Doğrusal Hız) ve VAP (Ortalama Yol Hızı) gibi motilite ölçümlerini tespit etmek için bilgisayar destekli sperm analizi (CASA) sistemleri kullanılmaktadır. Motilite parametrelerini hesaplamak için sperm hücrelerinin yol uzunluğu gereklidir ve video işleme kullanılarak hesaplanır. Ancak bu yol uzunluğu, video karelerinin ayrık zamanlı işlenmesiyle elde edilir ve bu da gerçekçi olmayan sonuçlara yol açabilir. CASA sistemlerinde doğal yol uzunluğunu elde etmek için videoların kare hızı artırılır ancak bu durumda donanım maliyetini de artırmak gerekir. Ayrık zamanlı yapılarda doğal yol uzunluğunu ölçmek için uygulanan polinom modelleme bu sorunu çözebilir. Bu çalışmada, spermin doğal yol uzunluğu ve hız parametrelerini elde etmek için etkili bir polinom modelleme yöntemi olan Lagrange interpolasyonu kullanılmıştır. Çalışmanın sonuçları, VCL ve VAP parametrelerini hesaplamak için polinom modellemesi uygulandığında, özellikle düşük kare hızında klasik yönteme göre daha etkili veriler elde edildiğini göstermiştir. Bu çalışma sonucunda hesaplama süresinde artış olmasına rağmen, CASA sistemlerinin sperm hızı hesaplamalarında polinom modellemesinin kullanılması önerilmektedir.

Anahtar Kelimeler

• Zaman serisi analizi
• Polinom modelleme
• Sperm hareketliliği
• Lagrange enterpolasyonu
• Bilgisayar destekli tespit ve teşhis.

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