论文标题
中心对称矩阵的嵌入性捕获自然和合成DNA中的双螺旋结构
Embeddability of centrosymmetric matrices capturing the double-helix structure in natural and synthetic DNA
论文作者
论文摘要
在本文中，我们讨论了中心对称矩阵的嵌入问题，这是链对称模型中发生的矩阵的高阶概括。这些模型捕获了由DNA的双螺旋结构引起的替代对称性。确定过渡矩阵是否可以嵌入，使我们能够知道观察到的替代概率是否与均匀的连续替代模型（例如Kimura模型，Jukes-Cantor模型或一般的时间可逆模型）一致。另一方面，对高阶矩阵的概括是由合成生物学的设置激发的，该合成生物学与不同尺寸的遗传字母合作。
In this paper, we discuss the embedding problem for centrosymmetric matrices, which are higher order generalizations of the matrices occurring in Strand Symmetric Models. These models capture the substitution symmetries arising from the double helix structure of the DNA. Deciding whether a transition matrix is embeddable or not enables us to know if the observed substitution probabilities are consistent with a homogeneous continuous time substitution model, such as the Kimura models, the Jukes-Cantor model or the general time-reversible model. On the other hand, the generalization to higher order matrices is motivated by the setting of synthetic biology, which works with different sizes of genetic alphabets.
