DNA分子重组模型中的缠绕方程组

Tangle Equations of the Recombination DNA Molecule

本文研究了下列缠绕方程组解的性质:N(S)=K_0,N(S+M)=K_1,N(S+M+M)=K_2,N(S+M+M+M)=K_3.通过控制变量的方法,将某个K_i(i=0,1,2,3)的向量表示中的元素换成变量,研究变量在满足何条件时,该缠绕方程组系统有唯一解,从而找出其他K_i满足该缠绕方程组系统并使该缠绕方程组只有一个解.此时这个缠绕方程组系统得到了很好的应用,相当于通过对一个DNA分子在酶作用下拓扑结构改变的研究,得到了另外一个DNA分子或多个DNA分子在酶促反应下进行n次连续的特异性位点重组时拓扑结构的变化,这样可以避免逐个研究,大大减少了工作量.

In this paper, deal with properties of solutions of tangle equations as follows:N(S) = K_0, N(S + M) = K_1, N(S + M + M) = K_2 N(S+ M + M + M) = K_3.We present a method of variable control, which change element of vector representative of some K_i(i = 0,1,2,3). And we research what variable meet so that tangle equations have a unique solution. We seek out anther Ki that is satisfied with the condition of tangle equations and make tangle equations have the only solution. This tangle equations system is put into use well. Analogously, we will get the change of topological structure of anther DNA molecule or some DNA molecules by studying original circular DNA molecule's variation in the process of enzymatic reaction when processive site-specific recombination(n iterations) happen. So we can reduce the amount of work time by avoiding research one by one.