dorsal/arxiv
View SchemaTwo-state dynamics for replicating two-strand systems
| Authors | Diederik Aerts, Marek Czachor |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0512048 |
| URL | https://arxiv.org/abs/q-bio/0512048 |
| Journal | Open Systems & Inf. Dynamics 14, 397-410 (2007) |
Abstract
We propose a formalism for describing two-strand systems of a DNA type by means of soliton von Neumann equations, and illustrate how it works on a simple example exactly solvably by a Darboux transformation. The main idea behind the construction is the link between solutions of von Neumann equations and entangled states of systems consisting of two subsystems evolving in time in opposite directions. Such a time evolution has analogies in realistic DNA where the polymerazes move on leading and lagging strands in opposite directions.
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"abstract": "We propose a formalism for describing two-strand systems of a DNA type by\nmeans of soliton von Neumann equations, and illustrate how it works on a simple\nexample exactly solvably by a Darboux transformation. The main idea behind the\nconstruction is the link between solutions of von Neumann equations and\nentangled states of systems consisting of two subsystems evolving in time in\nopposite directions. Such a time evolution has analogies in realistic DNA where\nthe polymerazes move on leading and lagging strands in opposite directions.",
"arxiv_id": "q-bio/0512048",
"authors": [
"Diederik Aerts",
"Marek Czachor"
],
"categories": [
"q-bio.PE",
"nlin.PS",
"quant-ph"
],
"journal_ref": "Open Systems \u0026 Inf. Dynamics 14, 397-410 (2007)",
"title": "Two-state dynamics for replicating two-strand systems",
"url": "https://arxiv.org/abs/q-bio/0512048"
},
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