数理思想在生物医学教学和科研中的应用

Mathematic and Physical Theories Applied in Research of Biology and Medicine

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。

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.