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Entropy 2014, 16(9), 4923-4936; doi:10.3390/e16094923

Effect of Conformational Entropy on the Nanomechanics of Microcantilever-Based Single-Stranded DNA Sensors

1
Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
2
Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, China
3
College of Mechanical Engineering, Changzhou University, Changzhou 213016, China
*
Author to whom correspondence should be addressed.
Received: 26 May 2014 / Revised: 21 July 2014 / Accepted: 25 August 2014 / Published: 15 September 2014
(This article belongs to the Special Issue Entropy in Experimental Design, Sensor Placement, Inquiry and Search)
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Abstract

An entropy-controlled bending mechanism is presented to study the nanomechanics of microcantilever-based single-stranded DNA (ssDNA) sensors. First; the conformational free energy of the ssDNA layer is given with an improved scaling theory of thermal blobs considering the curvature effect; and the mechanical energy of the non-biological layer is described by Zhang’s two-variable method for laminated beams. Then; an analytical model for static deflections of ssDNA microcantilevers is formulated by the principle of minimum energy. The comparisons of deflections predicted by the proposed model; Utz–Begley’s model and Hagan’s model are also examined. Numerical results show that the conformational entropy effect on microcantilever deflections cannot be ignored; especially at the conditions of high packing density or long chain systems; and the variation of deflection predicted by the proposed analytical model not only accords with that observed in the related experiments qualitatively; but also appears quantitatively closer to the experimental values than that by the preexisting models. In order to improve the sensitivity of static-mode biosensors; it should be as small as possible to reduce the substrate stiffness. View Full-Text
Keywords: biosensor; conformational entropy; principle of minimum energy; two-variable method biosensor; conformational entropy; principle of minimum energy; two-variable method
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Tan, Z.-Q.; Zhang, N.-H. Effect of Conformational Entropy on the Nanomechanics of Microcantilever-Based Single-Stranded DNA Sensors. Entropy 2014, 16, 4923-4936.

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