Stochastic methods for parameter estimation and design of experiments in systems biology / / vorgelegt von Andrei Kramer

• Autore: Kramer Andrei
• Pubblicazione: Berlin, Germany : , : Logos Verlag, , [2016]; ©2016
• Descrizione fisica: 1 online resource (xii,137 pages) : illustrations
• Disciplina: 570.113
• Soggetto topico: Stochastic analysis - Mathematical models; Systems biology - Statistical mehods; Biological systems - Data processing
• Note generali: "Von der Fakultät Konstruktions-, Produktions- und Fahrzeugtechnik der Universität Stuttgart zur Erlangung der Würde eines Doktor- Ingenieurs (Dr.-Ing.) genehmigte Abhandlung."
• Nota di bibliografia: Includes bibliographical references (pages 127-137).
• Sommario/riassunto: Long description: Markov Chain Monte Carlo (MCMC) methods are sampling based techniques, which use random numbers to approximate deterministic but unknown values. They can be used to obtain expected values, estimate parameters or to simply inspect the properties of a non-standard, high dimensional probability distribution. Bayesian analysis of model parameters provides the mathematical foundation for parameter estimation using such probabilistic sampling. The strengths of these stochastic methods are their robustness and relative simplicity even for nonlinear problems with dozens of parameters as well as a built-in uncertainty analysis. Because Bayesian model analysis necessarily involves the notion of prior knowledge, the estimation of unidentifiable parameters can be regularised (by priors) in a straight forward way. This work draws the focus on typical cases in systems biology: relative data, nonlinear ordinary differential equation models and few data points. It also investigates the consequences of parameter estimation from steady state data; consequences such as performance benefits. In biology the data is almost exclusively relative, the raw measurements (e.g. western blot intensities) are normalised by control experiments or a reference value within a series and require the model to do the same when comparing its output to the data. Several sampling algorithms are compared in terms of effective sampling speed and necessary adaptations to relative and steady state data are explained.
• Titolo autorizzato: Stochastic methods for parameter estimation and design of experiments in systems biology
• ISBN: 3-8325-8795-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910793927303321
• Lo trovi qui: Univ. Federico II