Atashpazgargari, Esmaeil (2014-08). Biomarker Discovery and Validation for Proteomics and Genomics: Modeling And Systematic Analysis. Doctoral Dissertation.
Thesis
Discovery and validation of protein biomarkers with high specificity is the main challenge of current proteomics studies. Different mass spectrometry models are used as shotgun tools for discovery of biomarkers which is usually done on a small number of samples. In the discovery phase, feature selection plays a key role. The first part of this work focuses on the feature selection problem and proposes a new Branch and Bound algorithm based on U-curve assumption. The U-curve branch-and-bound algorithm (UBB) for optimization was introduced recently by Barrera and collaborators. In this work we introduce an improved algorithm (IUBB) for finding the optimal set of features based on the U-curve assumption. The results for a set of U-curve problems, generated from a cost model, show that the IUBB algorithm makes fewer evaluations and is more robust than the original UBB algorithm. The two algorithms are also compared in finding the optimal features of a real classification problem designed using the data model. The results show that IUBB outperforms UBB in finding the optimal feature sets. On the other hand, the result indicate that the performance of the error estimator is crucial to the success of the feature selection algorithm. To study the effect of error estimation methods, in the next section of the work, we study the effect of the complexity of the decision boundary on the performance of error estimation methods. First, a model is developed which quantifies the complexity of a classification problem purely in terms of the geometry of the decision boundary, without relying on the Bayes error. Then, this model is used in a simulation study to analyze the bias and root-mean-square error (RMS) of a few widely used error estimation methods relative to the complexity of the decision boundary. The results show that all the estimation methods lose accuracy as complexity increases. Validation of a set of selected biomarkers from a list of candidates is an important stage in the biomarker identification pipeline and is the focus of the the next section of this work. This section analyzes the Selected Reaction Monitoring (SRM) pipeline in a systematic fashion, by modelling the main stages of the biomarker validation process. The proposed models for SRM and protein mixture are then used to study the effect of different parameters on the final performance of biomarker validation. We focus on the sensitivity of the SRM pipeline to the working parameters, in order to identify the bottlenecks where time and energy should be spent in designing the experiment.
Discovery and validation of protein biomarkers with high specificity is the main challenge of current proteomics studies. Different mass spectrometry models are used as shotgun tools for discovery of biomarkers which is usually done on a small number of samples.
In the discovery phase, feature selection plays a key role. The first part of this work focuses on the feature selection problem and proposes a new Branch and Bound algorithm based on U-curve assumption. The U-curve branch-and-bound algorithm (UBB) for optimization was introduced recently by Barrera and collaborators. In this work we introduce an improved algorithm (IUBB) for finding the optimal set of features based on the U-curve assumption. The results for a set of U-curve problems, generated from a cost model, show that the IUBB algorithm makes fewer evaluations and is more robust than the original UBB algorithm. The two algorithms are also compared in finding the optimal features of a real classification problem designed using the data model. The results show that IUBB outperforms UBB in finding the optimal feature sets. On the other hand, the result indicate that the performance of the error estimator is crucial to the success of the feature selection algorithm.
To study the effect of error estimation methods, in the next section of the work, we study the effect of the complexity of the decision boundary on the performance of error estimation methods. First, a model is developed which quantifies the complexity of a classification problem purely in terms of the geometry of the decision boundary, without relying on the Bayes error. Then, this model is used in a simulation study to analyze the bias and root-mean-square error (RMS) of a few widely used error estimation methods relative to the complexity of the decision boundary. The results show that all the estimation methods lose accuracy as complexity increases.
Validation of a set of selected biomarkers from a list of candidates is an important stage in the biomarker identification pipeline and is the focus of the the next section of this work. This section analyzes the Selected Reaction Monitoring (SRM) pipeline in a systematic fashion, by modelling the main stages of the biomarker validation process. The proposed models for SRM and protein mixture are then used to study the effect of different parameters on the final performance of biomarker validation. We focus on the sensitivity of the SRM pipeline to the working parameters, in order to identify the bottlenecks where time and energy should be spent in designing the experiment.
