TIGHTNESS OF POLYMER KNOTS

Paul Dommersnes, Ralf Metzler, Andreas Hanke

Peter Virnau

Yacov Kantor, Oded Farago

Outline

• Introduction: Knots in physics, biology, and mathematics
• Energy considerations: Charged knots
• Entropic considerations: Slip-links & Paraknots
• Flat knots: Swollen & Dense configurations
• Pulling knotted polymers: DNA & simulations
• Open polymers: Model polyethylene & Biopolymers