Document details for 'Bayesian analysis of non-linear differential equation models with application to a gut microbial ecosystem'

Authors Lawson, D.J., Holtrop, G. and Flint, H.J.
Publication details Biometrical Journal 53, 543-556.
Keywords Bacteria; Convergence; Ecology; Hierarchical model; Process model
Abstract Process models specified by non-linear dynamic differential equations contain many parameters, which often must be inferred from a limited amount of data. We discuss a hierarchical Bayesian approach combining data from multiple related experiments in a meaningful way, which permits more powerful inference than treating each experiment as independent. The approach is illustrated with a simulation study and example data from experiments replicating the aspects of the human gut microbial ecosystem. A predictive model is obtained that contains prediction uncertainty caused by uncertainty in the parameters, and we extend the model to capture situations of interest that cannot easily be studied experimentally. Keywords
Last updated 2015-04-17

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