CAJ | 학술논문

目的：探讨物理思想和数学方法的有机结合在定量描述和研究生命现象中的重要性。方法：以DNA 的形态研究为例，首先构建出其弹性自由能，再运用物理学中的能量极小化原理，并结合数学中的变分学方法和微分几何学方法，研究典型的DNA 平衡形态以及DNA 纳米管的平衡结构。结果：得到了描述DNA 形态的平衡形状方程，求解这些方程，得到了典型的 DNA 以及 DNA纳米管的平衡形态，并分析了具有一般性意义的螺旋结构的特征。结论：以物理规律为指导，以数学为手段，能够精确地描述DNA的平衡形态以及形变程。
목적：탐토물리사상화수학방법적유궤결합재정량묘술화연구생명현상중적중요성。방법：이DNA 적형태연구위례，수선구건출기탄성자유능，재운용물이학중적능량겁소화원리，병결합수학중적변분학방법화미분궤하학방법，연구전형적DNA 평형형태이급DNA 납미관적평형결구。결과：득도료묘술DNA 형태적평형형상방정，구해저사방정，득도료전형적 DNA 이급 DNA납미관적평형형태，병분석료구유일반성의의적라선결구적특정。결론：이물리규률위지도，이수학위수단，능구정학지묘술DNA적평형형태이급형변정。
Objective:Discussing the fundamentality of the physical and mathematic theories in studying the biological phenomena .Methods:Through choosing the DNA model as an example ,the shapes of DNA and DNA nanotube are investigated by using the elastic energy minimum theory in physics and the variational method in mathematics .Results:The equilibrium shape equations for NDA are obtained .Through solving those equations ,the equilibrium shapes of DNA and DNA nanotube are obtained and typical helix shapes are discussed .Conclusion:The shape of DNA can be described precisely by relying on the physic theory and mathematical method .