Dynamical response of nanomechanical oscillators in immiscible viscous fluid for in vitro biomolecular recognition
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Citation (published version)Jerome Dorignac, Agnieszka Kalinowski, Shyamsunder Erramilli, Pritiraj Mohanty. 2006. "Dynamical response of nanomechanical oscillators in immiscible viscous fluid for in vitro biomolecular recognition.." Phys Rev Lett, Volume 96, Issue 18: 186105.
Dynamical response of nanomechanical cantilever structures immersed in a viscous fluid is important to in vitro single-molecule force spectroscopy, biomolecular recognition of disease-specific proteins, and the study of microscopic protein dynamics. Here we study the stochastic response of biofunctionalized nanomechanical cantilever beams in a viscous fluid. Using the fluctuation-dissipation theorem we derive an exact expression for the spectral density of displacement and a linear approximation for resonance frequency shift. We find that in a viscous solution the frequency shift of the nanoscale cantilever is determined by surface stress generated by biomolecular interaction with negligible contributions from mass loading due to the biomolecules.
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