An analytical model for nanomechanical behavior of microcantilever-DNA chip

Zou-Qing Tan; Jing-Jing Li; Neng-Hui Zhang

doi:10.1117/12.843130

20 October 2009 An analytical model for nanomechanical behavior of microcantilever-DNA chip

Zou-Qing Tan, Jing-Jing Li, Neng-Hui Zhang

Proceedings Volume 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering; 74933X (2009) https://doi.org/10.1117/12.843130
Event: Second International Conference on Smart Materials and Nanotechnology in Engineering, 2009, Weihai, China

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.

Citation Download Citation

Zou-Qing Tan, Jing-Jing Li, and Neng-Hui Zhang "An analytical model for nanomechanical behavior of microcantilever-DNA chip", Proc. SPIE 7493, Second International Conference on Smart Materials and Nanotechnology in Engineering, 74933X (20 October 2009); https://doi.org/10.1117/12.843130

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