Life science
DNA topology
The strongest scientific use of closed-curve knot theory — and it is not rope.
Does not pick a knot
This page does not pick a knot for you. DNA, molecules, quantum braids and vortices stay off Decide.
What it means
Circular DNA knots and links during replication. Topoisomerases and recombinases change topology by cutting, passing and resealing. Vazquez and others show cells take short unlinking paths. The math tracks crossings and handedness. It does not describe the enzyme, and it does not speak to a terminal-eye job.
What it predicts
- ·Linked circular DNA can be classified by knot and link type.
- ·Reconnection can shorten the path to the unknot.
- ·Handedness (writhe) is a real observable in the molecule.
What it does not predict
- ·It does not tell you which fishing knot to tie.
- ·It does not describe wet fluoro or a glazed seat.
- ·It does not hand a constraint to Decide.
Not for
- ·Any fishing or boat knot we cover
- ·A Decide or Diagnose input
This essay is not about a fishing or boat knot we cover.
Sources
- Vazquez — Untangling DNA with knot theory (SIAM News, 2018) — Topology tracks crossings and unlinking paths. It does not describe the enzyme chemistry.
- DNA supercoil / topoisomerase (Wikipedia) — Cellular enzymes change topology by cut-and-reseal. Not a rope procedure.