摘要翻译:
我们通过用4adic{\it信息空间中的点来表示遗传信息来实现遗传学的几何化。}根据著名的数论定理,这个空间也可以表示为2-adic空间。DNA复制的过程是用一个4-ADIC(或等效2-ADIC)动力系统的作用来描述的。正如我们所知,这些基因含有蛋白质产生的信息。遗传密码是密码子到蛋白质的退化图谱。我们把这个映射模型化为多项式动力系统的功能。考虑的纯数学问题是寻找一个再现遗传密码退化结构的动力系统。我们提出了这个问题的一个可能的解决方案。
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英文标题:
《Gene expression from polynomial dynamics in the 2-adic information space》
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作者:
Andrei Khrennikov
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最新提交年份:
2006
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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:
We perform geometrization of genetics by representing genetic information by points of the 4-adic {\it information space.} By well known theorem of number theory this space can also be represented as the 2-adic space. The process of DNA-reproduction is described by the action of a 4-adic (or equivalently 2-adic) dynamical system. As we know, the genes contain information for production of proteins. The genetic code is a degenerate map of codons to proteins. We model this map as functioning of a polynomial dynamical system. The purely mathematical problem under consideration is to find a dynamical system reproducing the degenerate structure of the genetic code. We present one of possible solutions of this problem.
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PDF链接:
https://arxiv.org/pdf/q-bio/0611068


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