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Proceedings Paper

An analytical model for nanomechanical behavior of microcantilever-DNA chip
Author(s): Zou-Qing Tan; Jing-Jing Li; Neng-Hui Zhang
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Paper Abstract

The paper is devoted to formulating an analytical relation between various biomolecular interactions during the process of label-free DNA-detection and changes in surface stress, which is widely accepted as the origin of nanomechanical motion of a microcantilever-DNA chip. First, considering electrostatic interactions between neighboring strands, hydration forces between DNA molecules and hydrogen bonding networks in water, conformational entropy of DNA chains, and mechanical energy of non-biolayers, the energy potential of a DNA chip and its first-order approximate expression are formulated. Second, the analytical expression for surface stress of a DNA chip is given by the minimum principle of energy. Third, the effects of grafting density and salt concentration on surface stress are investigated. Numerical results show that surface stress is a strong function of grafting density, which is in agreement with Stachowiak's experimental results. And, comparison of first-order and two-order predictions for surface stress is discussed.

Paper Details

Date Published: 21 October 2009
PDF: 6 pages
Proc. SPIE 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering, 74933X (21 October 2009); doi: 10.1117/12.843130
Show Author Affiliations
Zou-Qing Tan, Shanghai Institute of Applied Mathematics and Mechanics (China)
Jing-Jing Li, Shanghai Institute of Applied Mathematics and Mechanics (China)
Shanghai Univ. (China)
Neng-Hui Zhang, Shanghai Institute of Applied Mathematics and Mechanics (China)
Shanghai Univ. (China)


Published in SPIE Proceedings Vol. 7493:
Second International Conference on Smart Materials and Nanotechnology in Engineering

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