Title: Terminating Stochastic Dynamics
Author: Nicolas Lenner
Recent biological developments have drastically increased both the precision and amount of generated data. This allows for a switching from pure mean value characterization of the processes under consideration to an analysis of the entire statistical ensemble. In our work we focus on the general class of non-equilibrium processes with distinguished terminal points, which can be found, for example, in cell fate decision, check points or cognitive neuroscience. We present a new strategy to analyze the behavior of these systems by aligning the measured noisy time traces to these specic points. For the resulting time-reversed ensemble we derive a rigorous mathematical description and provide analytic expressions for its mean, variance and covariance.