Cell state determination is the outcome of intrinsically stochastic
biochemical reactions. Tran- sitions between such states are studied as
noise-driven escape problems in the chemical species space. Escape can occur
via multiple possible multidimensional paths, with probabilities depending
non-locally on the noise. Here we characterize the escape from an oscillatory
biochemical state by minimizing the Freidlin-Wentzell action, deriving from it
the stochastic spiral exit path from the limit cycle. We also use the minimized
action to infer the escape time probability density function