Single cell size estimation from backscattered spectrum by using some weak acoustic scattering approximations

Authors

  • Ratan K. Saha Department of Physics, Ryerson University, 350 Victoria Street, Toronto, ON, M5B2K3, Canada
  • Subodh K. Sharma Department of Theoretical sciences, S. N. Bose National Centre For Basic Sciences, Salt Lake, Kolkata 700098, India
  • Michael C. Kolios Department of Physics, Ryerson University, 350 Victoria Street, Toronto, ON, M5B2K3, Canada

Keywords:

Backscattering, Born approximation, Cells, Estimation, Frequency estimation, High energy physics, Mammals, Ultrasonic applications, Acoustic Scattering, Back-scattered, Backscatter intensity, Cell size, High frequency HF, Incident waves, Mean diameter, Microscopic measurement, Modified born approximations, Scatterer size, Sea urchin, SIMPLE method, Single cells, Ultrasonic backscatter, Wave numbers

Abstract

A method for the sizing of a cell in suspension by ultrasonic means is discussed. The technique uses frequency minima of the backscatter intensity pattern for an acoustically weak scatterer and provides a simple formula for scatterer size estimation in the framework of the Born approximation. The technique has been implemented here to examine performance of the Born approximation and a modified Born approximation in predicting size of a cell in a suspension. This was done by comparing the mean diameter of a cell obtained from optical microscopic measurements over many cells and that determined by employing these approximations only using the minima of measured high-frequency (10-65 MHz) ultrasonic backscatter spectra. Both approximations in estimating size of a scatterer worked with high accuracy (error < 3%) for scatterers like PC-3 cells (ka &asyum; 0.55-3.58) and sea urchin oocytes (ka &asyum; 1.54-10.03) where, k and a are the wave number of the incident wave and scatterer size respectively. This study suggests that this simple method can be used to estimate cell size.

Additional Files

Published

2010-06-01

How to Cite

1.
Saha RK, Sharma SK, Kolios MC. Single cell size estimation from backscattered spectrum by using some weak acoustic scattering approximations. Canadian Acoustics [Internet]. 2010 Jun. 1 [cited 2025 Feb. 15];38(2):31-4. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/2220

Issue

Vol. 38 No. 2 (2010)

Section

Technical Articles

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