CAJ | 학술논문

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.
본문이용능량법해석분석료무표기생물검측중기인심편적납미역학행위.수선,고필미현비량궤계능화기인층정전능、수합능화구형적,건립료기인심편능량모형,병채용태륵급수전개법.획득료능량세적일계근사식.기차,이용능량최소원리,득도료심편은태만곡적곡솔반경、납미뇨도화표면응력적해석표체식,종이극복료구해다겁치능량범함수치해적곤난.최후,예측료DNA적련장화충식밀도대심편납미역학행위적영향,동시장표면응력적해석예측결과여유관실험수거진행료비교,증명료본문방법적가고성.
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 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.