Much of the dynamics seen in living beings is stochastic, being driven by or influenced by noise. We've studied many examples, from the stochastic motion of motor proteins such as kinesin or myosin, to the influence of electrical membrane noise in the firing of neural action potentials.
- First passages
- One of the most important problems in stochastic dynamics is the first passage problem: when does a fluctuating quantity first attain a given bound? Due to the difficulty of this problem it has traditionally been studied using master equations for the probability distributions of the first passage time. We have developed a path-centric framework to study individual paths and their first passages, including an extremely efficient algorithm for computing actual first passages.