| 基因芯片纳米挠度和表面应力的解析预测 |
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| 引用本文： | 李晶晶,谭邹卿,张能辉.基因芯片纳米挠度和表面应力的解析预测[J].上海力学,2010,31(1). |
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| 作者姓名： | 李晶晶 谭邹卿 张能辉 |
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| 作者单位： | 李晶晶,张能辉(上海市应用数学和力学研究所,上海,200072;上海大学理学院力学系,上海,200444);谭邹卿(上海市应用数学和力学研究所,上海,200072) |
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| 基金项目： | 国家自然科学基金，上海市自然科学基金，上海市教育委员会科研创新项目，Multiscale Material Mechanics Fellowship;上海大学系统生物研究基金;国家杰出青年基金，上海市重点学科建设项目 |
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| 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.
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| 关 键 词： | 基因芯片 生物能 纳米力学 解析法 表面应力 |
An Analytical Prediction for Nanomechanical Deflection and Surface Stress of Gene Chip |
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| LI Jing-jing,TAN Zou-qing,ZHANG Neng-hui.An Analytical Prediction for Nanomechanical Deflection and Surface Stress of Gene Chip[J].Chinese Quarterly Mechanics,2010,31(1). |
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| Authors: | LI Jing-jing TAN Zou-qing ZHANG Neng-hui |
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| Institution: | LI Jing-jing~(1,2),TAN Zou-qing~1,ZHANG Neng-hui~(1,2*) (1.Shanghai Institute of Applied Mathematics , Mechanics,Shanghai 200072,China,2.Department of Mechanics,College of Sciences,Shanghai University,Shanghai 200444,China) |
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| Abstract: | 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 approximate 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 ge... |
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| Keywords: | gene chip bio-energy nanomechanics analytical method surface stress |
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