Figure 1 | Scientific Reports

Figure 1

From: Automated estimation of cancer cell deformability with machine learning and acoustic trapping

Figure 1

Schematic of the mathematical cell deformation model. (a) The initial cell shape is spherical and gradually flattens under SBATs. (b) Two circles drawn within the deformed cell represent the height of the cell after deformation \(h = 2g\), the radius of the two circles g, the diameter of the deformed cell \(d = 2G + b\) (\(G = b/2\)), and the distance of the centers of two circles b. (c) Young’s modulus E is inversely proportional to changes in h, which is measured in the vertical direction of the pressure P (\(E \propto \frac{1}{\Delta h}\)). However, the existing method assumes that changes in cell areas (\(A \simeq \pi R^2\), where \(2R=d\)) are directly proportional to pressure, and the average ratios of the changes are inversely proportional to the Young’s modulus (\(E \propto \frac{1}{\Delta A}\)). Lim et al.41 created reference points using \(E \propto \frac{1}{\Delta h}\), while they estimated the Young’s modulus using the reference points and \(E \propto \frac{1}{\Delta A}\).

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