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中文摘要：
本文利用能量法解析分析了无标记生物检测中基因芯片的纳米力学行为。首先，考虑微悬臂梁机械能和基因层静电能、水合能和构型熵，建立了基因芯片能量模型，并采用泰勒级数展开法，获得了能量势的一阶近似式。其次，利用能量最小原理，得到了芯片稳态弯曲的曲率半径、纳米挠度和表面应力的解析表达式，从而克服了求解多极值能量泛函数值解的困难。最后，预测了DNA的链长和种植密度对芯片纳米力学行为的影响，同时将表面应力的解析预测结果与有关实验数据进行了比较，证明了本文方法的可靠性。
英文摘要：
The nanomechanical behavior of gene chip in label-free biodetection was studied analytically by energy method. In consideration of electrostatic energy, hydration energy and configurational fluctuations of DNA layer as well as mechanical energy of chip, an energy formula was set up, and the first order ap- proximate expression for energy potential was obtained by Taylor series expansion method. The analytical expression for the curvature radius of neutral axis, the nanomechanical deflection and surface stress of gene chip were obtained by the minimum principle of energy. The influence of length of DNA chain and immobilization density on nanomechanical behavior of gene chip was predicted. The theoretical predictions for surface stress of gene chip were compared with experimental data to validate the present analytical solutions.
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