Two-state dynamics for replicating two-strand systems

Diederik Aerts; Marek Czachor

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Two-state dynamics for replicating two-strand systems

Diederik Aerts·Marek Czachor

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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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BibTeX RIS

Diederik Aerts, Marek Czachor. 2005-12-30. Two-state dynamics for replicating two-strand systems. https://arxiv.org/abs/q-bio/0512048

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