摘要翻译：
由on和off事件构成的单分子数据无处不在。著名的例子包括通过荧光探测的酶周转，以及通过离子通量探测的离子通道的打开和关闭。数据反映了过程的基本多子态开-关动力学方案(KS)中的动力学，但由于将多维KS映射到二维时丢失了信息，确定基本KS是困难的，有时甚至是不可能的。处理这个问题的一种方法考虑规范（唯一）形式。（唯一的标准形是由无限长的轨迹构造的，但有许多kss。）在这里，我们引入了可以处理任意KS（也就是具有对称性和不可逆跃迁的KSs）的降维标准型。在KSs拓扑的基础上，给出了KSs向降维形式的映射，并给出了从有限数据中提取降维形式的工具。降维标准型是判别KSS的有力工具。
---
英文标题：
《Unique mechanisms from finite two-state trajectories》
---
作者：
Ophir Flomenbom, Robert J. Silbey
---
最新提交年份：
2007
---
分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Quantitative Methods        定量方法
分类描述：All experimental, numerical, statistical and mathematical contributions of value to biology
对生物学价值的所有实验、数值、统计和数学贡献
--
一级分类：Physics        物理学
二级分类：Other Condensed Matter        其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
--
一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
--

---
英文摘要：
  Single molecule data made of on and off events are ubiquitous. Famous examples include enzyme turnover, probed via fluorescence, and opening and closing of ion-channel, probed via the flux of ions. The data reflects the dynamics in the underlying multi-substate on-off kinetic scheme (KS) of the process, but the determination of the underlying KS is difficult, and sometimes even impossible, due to the loss of information in the mapping of the mutli-dimensional KS onto two dimensions. A way to deal with this problem considers canonical (unique) forms. (Unique canonical form is constructed from an infinitely long trajectory, but many KSs.) Here we introduce canonical forms of reduced dimensions that can handle any KS (i.e. also KSs with symmetry and irreversible transitions). We give the mapping of KSs into reduced dimensions forms, which is based on topology of KSs, and the tools for extracting the reduced dimensions form from finite data. The canonical forms of reduced dimensions constitute a powerful tool in discriminating between KSs.
---
PDF链接：
https://arxiv.org/pdf/0706.2328