  Over 15 million epilepsy patients worldwide do not respond to drugs and
require surgical treatment. Successful surgical treatment requires complete
removal, or disconnection of the epileptogenic zone (EZ), but without a
prospective biomarker of the EZ, surgical success rates vary between 30%-70%.
Neural fragility is a model recently proposed to localize the EZ. Neural
fragility is computed as the l2 norm of a structured rank-one perturbation of
an estimated linear dynamical system. However, an analysis of its numerical
properties have not been explored. We show that neural fragility is a
well-defined model given a good estimator of the linear dynamical system from
data. Specifically, we provide bounds on neural fragility as a function of the
underlying linear system and noise.
