What is a Random Knot?

And Why Do We Care?

Clay Shonkwiler

shonkwiler.org

Knots

A knot is a closed loop in space that can’t be turned into a round circle without breaking it.

Knots

Is It Knotted?

Knots in Nature

Knots in Nature

6UX1ACarbonic anhydrase II complexed with salicylic acid

Knots in Nature

Knots in Nature

Guiding Question

Knots in proteins aren’t random; do the deviations from randomness tell us something about biology?

Random, You Say

Random?

\(p\)

\(p\)

\(p\)

\(p\)

\(p\)

\(p\)

Random with Constraints

Random with Constraints

Random with Constraints

Random Knots!

Thank you!