Dynamical response of nanomechanical oscillators in immiscible viscous fluid for in vitro biomolecular recognition
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CitationJerome 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.