Overview
Syllabus
Laws of sensitivity for small systems
At equilibrium, physics provides powerful tools to relate sensitivity (response to a perturbation) to system Structure
Binding to hemoglobin
Hill's explanation • Binding curve shape can be explained by multiple oxygen hemoglobin (Hil 1910)
A simple equilibrium law
Alienagerie of nonequilibrium sensitivity mechanisms...
Chemotaxis in E. coli
Quantifying sensitivity
Counting bound CheY-P...
Two sides of an equation
Kinetic schemes
Equilibrium vs. nonequilibrium
A common picture
Back to the flagellar motor
Tu's motor model
Key tool underlying results • There is an exact, algebraic expression for the nonequilibrium steady state probabilities in terms of transition rates. (Markov chain tree theorem)
Types of perturbations . Parameterize the transition rates like this
Tiuctuations determine sensitivity to vertex perturbations
Revisiting the flagellar motor
Nested hysteresis
Where to next?
Driving forces bound sensitivity to (symmetric) edge perturbations
Unifying the menagerie
Taught by
Santa Fe Institute