dorsal/arxiv
View SchemaGene expression from polynomial dynamics in the 2-adic information space
| Authors | Andrei Khrennikov |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0611068 |
| URL | https://arxiv.org/abs/q-bio/0611068 |
Abstract
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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"abstract": "We perform geometrization of genetics by representing genetic information by\npoints of the 4-adic {\\it information space.} By well known theorem of number\ntheory this space can also be represented as the 2-adic space. The process of\nDNA-reproduction is described by the action of a 4-adic (or equivalently\n2-adic) dynamical system. As we know, the genes contain information for\nproduction of proteins. The genetic code is a degenerate map of codons to\nproteins. We model this map as functioning of a polynomial dynamical system.\nThe purely mathematical problem under consideration is to find a dynamical\nsystem reproducing the degenerate structure of the genetic code. We present one\nof possible solutions of this problem.",
"arxiv_id": "q-bio/0611068",
"authors": [
"Andrei Khrennikov"
],
"categories": [
"q-bio.OT"
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"title": "Gene expression from polynomial dynamics in the 2-adic information space",
"url": "https://arxiv.org/abs/q-bio/0611068"
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