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Actuation of Microcantilever Using Light-Driven DNA Conformational Changes

Nanomechanical Actuation Driven by Light-Induced DNA Fuel

Kilho Eom, Huihun Jung, Gyudo Lee, Jinsung Park, Kihwan Nam, Sang Woo Lee, Dae Sung Yoon, Jaemoon Yang, and Taeyun Kwon

Abstract

Resonance frequency of cantilever

Resonance frequency of a cantilever beam is given by

f=(kn/2pi)*sqrt(EI/mL4)

where, kn=3.52 for cantilever, E is Young's Modulus, I is moment of Inertia, m is mass, L is beam length.

The equation is available in Raymond J. Roark and Warren C. Young, “Formulas for Stress and Strain”, McGraw-Hill, Kogakusha, 5th Edition, (1976).

Can any one help me in deriving this. Or any books or websites which deal with this equation.

resonance (natural) frequency of a cantilever beam

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resonance (natural) frequency of a cantilever beam is given by

f=[kn/2pi][sqrt(EI/wL^4)] where, kn=3.52 for mode 1, E is Young's modulus, I is moment of Inertia, w is beam width, L is beam length. (this is from Formulas for Stress and Strain, 5th edition by Raymond J. Roark and Warren C. Young).

 I would like to derive this formula. Can any one suugest me any book or any link?  

Biomolecular detection by a cantilever functionalized by RNA aptamers as receptor molecules

We have recently reported the label-free detection of HCV (Hepatitis C Virus) helicase by using a resonating microcantilever whose surface is functionalized by RNA aptamers as receptor molecules. This work was accepted for publication at Biosensors & Bioelectronics.

Abstract

Microcantilever operated in liquid environment for in-vitro biomolecular detection

We have recently reported the piezoelectric thick film microcantilever, which enables the in-situ real-time detection of the protein related to disease (e.g. C reactive protein) in liquid environment. This work was published at APL (click here).

"In-situ real-time monitoring of biomolecular interactions based on resonating microcantilevers immersed in a viscous fluid"

Mass sensing by using a resonating microcantilever

We recently reported the mass sensing by using resonating microcantilevers. The characterization of mass-sensing and its related sensitivity was suggested on the basis of elasticity theory.

Microcantilever for biomolecular detections

Microcantilevers have taken much attention as devices for label-free detection of molecules and/or their conformations in solutions and air. Recently, microcantilevers have allowed the nanomechanical mass detection of thin film [1-3], small molecules [4, 5], and biological components such as viruses [6] and vesicles [7] in the order of a pico-gram to a zepto-gram. The great potential of microcantilevers is the sensitive, reliable, fast label-free detection of proteins and/or protein conformations. Specifically, microcantilevers are capable of label-free detection of marker proteins related to diseases, even at a low concentration in solution [8-17]. Microcantilevers, operated in a viscous fluid, have also enabled the real-time monitoring of protein-protein interactions [8, 12-15]. Furthermore, microcantilevers are able to recognize the specific protein conformations [18] and/or reversible conformation changes of proteins/polymers [19, 20].

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