摘要翻译：
作者先前报告的遗传密码的四元数表示被更新，以便结合核苷酸碱基和氨基酸的手性。最初的表示法为每个核苷酸碱基分配一个标准7的素数整数四元数，并涉及一个与每个密码子相关联的函数，由其中三个四元数和另一个整数四元数（氨基酸型四元数）表示，以这样的方式保留标准遗传密码的基本要素（特别是其退化）。为了证明这种四元数表示的优点，我们又给出了一个给定蛋白质的每一个氨基酸，除了类型四元数外，还有另一个按其在蛋白质中的顺序（顺序四元数）的实际氨基酸，并设计了一个利用类型四元数和顺序四元数从蛋白质的一级结构到三级结构的算法。在此背景下，我们通过观察八个范数为7的整数四元数的集合可以划分为一对基数的子集，每个子集的元素相互共轭，并将它们分别与四个核苷酸碱基腺嘌呤、胞嘧啶、鸟嘌呤和尿嘧啶的两组对映体（D和L）一一对应，从而将手性纳入我们的表示中。因此，在两个代码演化图的指导下，我们定义了函数，在每种情况下都将一个L-（D-）氨基酸型整数四元数分配给D-（L-）碱基的三元数。对于给定的D-氨基酸，相关联的整数四元数是对应于对映体L的整数四元数的共轭体。为氨基酸得到的手性型四元数与一组常见的序四元数一起用来描述同手性蛋白质的L和D两类折叠。
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英文标题：
《Chirality in a quaternionic representation of the genetic code》
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作者：
C. Manuel Carlevaro, Ramiro M. Irastorza and Fernando Vericat
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最新提交年份：
2015
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分类信息：

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
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英文摘要：
  A quaternionic representation of the genetic code, previously reported by the authors, is updated in order to incorporate chirality of nucleotide bases and amino acids. The original representation assigns to each nucleotide base a prime integer quaternion of norm 7 and involves a function that associates with each codon, represented by three of these quaternions, another integer quaternion (amino acid type quaternion) in such a way that the essentials of the standard genetic code (particulaty its degeneration) are preserved. To show the advantages of such a quaternionic representation we have, in turn, associated with each amino acid of a given protein, besides of the type quaternion, another real one according to its order along the protein (order quaternion) and have designed an algorithm to go from the primary to the tertiary structure of the protein by using type and order quaternions. In this context, we incorporate chirality in our representation by observing that the set of eight integer quaternions of norm 7 can be partitioned into a pair of subsets of cardinality four each with their elements mutually conjugates and by putting they in correspondence one to one with the two sets of enantiomers (D and L) of the four nucleotide bases adenine, cytosine, guanine and uracil, respectively. Thus, guided by two diagrams proposed for the codes evolution, we define functions that in each case assign a L- (D-) amino acid type integer quaternion to the triplets of D- (L-) bases. The assignation is such that for a given D-amino acid, the associated integer quaternion is the conjugate of that one corresponding to the enantiomer L. The chiral type quaternions obtained for the amino acids are used, together with a common set of order quaternions, to describe the folding of the two classes, L and D, of homochiral proteins.
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PDF链接：
https://arxiv.org/pdf/1602.05847