Circadian Rhythms. 안용열 (물리학과). Index. Intro - What is the circadian rhythm? Mechanism in reality How can we understand it? Nonlinear dynamics Limit cycle Linearization and stability Stochastic resonance Coupled nonlinear oscillators Summary - What have we learned?.
‘About-a-day-period behavioral rhythm’
A trap!-Two short period oscillator model
long period is extremely sensitive to changes in the short period.
aging, female endocrine cycle, replacement of membrane phospholipids
Negative elementMechanism in a diagram
Find “Geometry” of phase space
Stable limit cycleLimit cycle “clock”
reduction of number of variables
There exist limit cycles
AThe clock’s state
pick up two slowest variable : R, C
stability analysis of fixed point and application of poincare-bendixon theorem
With noiseStochastic resonance in “the clock”
- pendulum clock
2nd edition published in 2001