4 years ago

The Stochastic Quasi-chemical Model for Bacterial Growth: Variational Bayesian Parameter Update

Paul K. Newton, Roger G. Ghanem, William J. Browning, Panagiotis Tsilifis, Thomas E. Wood


We develop Bayesian methodologies for constructing and estimating a stochastic quasi-chemical model (QCM) for bacterial growth. The deterministic QCM, described as a nonlinear system of ODEs, is treated as a dynamical system with random parameters, and a variational approach is used to approximate their probability distributions and explore the propagation of uncertainty through the model. The approach consists of approximating the parameters’ posterior distribution by a probability measure chosen from a parametric family, through minimization of their Kullback–Leibler divergence.

Publisher URL: https://link.springer.com/article/10.1007/s00332-017-9411-4

DOI: 10.1007/s00332-017-9411-4

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