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14 - Analysis of Mass Spectrometry Data Using Bayesian Wavelet-Based Functional Mixed Models

Published online by Cambridge University Press:  23 November 2009

Kim-Anh Do
Affiliation:
University of Texas, MD Anderson Cancer Center
Peter Müller
Affiliation:
Swiss Federal Institute of Technology, Zürich
Marina Vannucci
Affiliation:
Rice University, Houston
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Summary

Abstract

In this chapter, we demonstrate how to analyze MALDI-TOF/SELDI-TOF mass spectrometry data using the wavelet-based functional mixed model introduced by J. S. Morris and R. J. Carroll (wavelet-based functional mixed models. Journal of the Royal Statistical Society, Series B, in 2006, which generalizes the linear mixed model to the case of functional data. This approach models each spectrum as a function, and is very general, accommodating a broad class of experimental designs and allowing one to model nonparametric functional effects for various factors, which can be conditions of interest (e.g., cancer/normal) or experimental factors (blocking factors). Inference on these functional effects allows us to identify protein peaks related to various outcomes of interest, including dichotomous outcomes, categorical outcomes, continuous outcomes, and any interactions among factors. Functional random effects make it possible to account for correlation between spectra from the same individual or block in a flexible manner. After fitting this model using Markov chain Monte Carlo, the output can be used to perform peak detection and identify the peaks that are related to factors of interest, while automatically adjusting for nonlinear block effects that are characteristic of these data. We apply this method to mass spectrometry data from a University of Texas M.D. Anderson Cancer Center experiment studying the serum proteome of mice injected with one of two cell lines in one of two organs. This methodology appears promising for the analysis of mass spectrometry proteomics data, and may have application for other types of proteomics data as well.

Introduction

MALDI-TOF is a mass-spectrometry-based proteomics method that yields spiky functional data, with peaks corresponding to proteins present in the biological sample.

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Publisher: Cambridge University Press
Print publication year: 2006

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