论文标题
DNA分子相互作用系统中的气泡聚结
Bubble coalescence in interacting system of DNA molecules
论文作者
论文摘要
我们考虑了相互作用的DNA分子的两个模型：\ textit {first}是（四个参数）气泡聚合模型在相互作用的DNA中（不久：BCI-DNA）。 \ textIt {second}是（三个参数）气泡聚合模型（在缩合的DNA分子中（不久为BCC-DNA）。为了研究BCI-DNA和BCC-DNA模型的气泡聚合热力学，我们使用统计物理学方法。也就是说，我们定义了每个模型的哈密顿量，并给予其翻译不变的吉布斯度量（Tigms）。对于第一个模型，我们找到参数，使得相应的哈密顿式具有三个状态的生物学意义上的三个tigm（系统的三个阶段）：``````'''对于第二个模型，我们表明，对于任何（可允许的）参数，该模型具有唯一的TIGM。这是``没有气泡结合''阶段占主导地位的状态。
We consider two models of interacting DNA molecules: \textit{First} is (four parametric) bubble coalescence model in interacting DNAs (shortly: BCI-DNA). \textit{Second} is (three parametric) bubble coalescence model in a condensed DNA molecules (shortly BCC-DNA). To study bubble coalescence thermodynamics of BCI-DNA and BCC-DNA models we use methods of statistical physics. Namely, we define Hamiltonian of each model and give their translation-invariant Gibbs measures (TIGMs). For the first model we find parameters such that corresponding Hamiltonian has up to three TIGMs (three phases of system) biologically meaning existence of three states: ``No bubble coalescence'', ``Dominated soft zone'', ``Bubble coalescence''. For the second model we show that for any (admissible) parameters this model has unique TIGM. This is a state where ``No bubble coalescence'' phase dominates.
