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