Mechanical resonances of bacteria cells

Abstract

The quality of the natural vibrations of specific bacteria is investigated using a shell model which accounts for the elastic properties of the membrane and the associated viscosities of the cytoplasma and the surrounding fluid. The motion of the membrane is approximated in terms of the distribution of internal forces over the shell thickness, which is assumed to be much less than the size of the cell. Flexural moments and intersecting stresses are neglected. Using experimentally obtained values for the membrane properties, high-quality resonances are predicted for several types of bacteria which have radii greater than 5 microm. Viscous shear waves are the main source of energy dissipation as has been previously reported in other studies on the natural oscillations of red blood cells, drops, and bubbles. Implications for the acoustic mediated destruction of bacteria are discussed.

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“…Biological cell properties (Zinin et al, 2005) (not limited to bacteria) and critical shock properties needed to induce bacterial break-up.…”

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“…ρ ≈ spherical particles [31,32]. The relative change in the area of an algal cell has a maximum at the resonance frequency given by [32] (5), where is the surface area modulus, kg/m 3 is the density of the cell, and is the mean particle radius of cell.…”

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“…Bacterial cells with a lower surface tension and larger diameters require lower Table 4.1 are derived from the turgor pressure [61]. However, the surface tension can vary with deformation generated by fluid flow over the cell membrane.…”

“…Oh is the Ohnesorge number, which is the ratio between the viscous forces and the surface tension force. Table 5.3 are derived from the turgor pressure [61] and contact angle [8].…”