Tom Chou University of California, Los Angeles (UCLA) Mathematics A Bayesian interpretation is given for regularization terms for parameter functions in inverse problems. Fluctuations about the extremal solution depend on the regularization terms - which encode prior knowledge - provide quantification of uncertainty. After reviewing a general path-integral framework, we set up a number of applications that arise in biophysics. The inference of bond energies and bond coordinate mobilities from dynamic force spectroscopy experiments are worked out in detail.