Identifying Biological Network Structure, Predicting Network Behavior, and Classifying Network State With High Dimensional Model Representation (HDMR)

This work presents an adapted Random Sampling - High Dimensional Model Representation (RS-HDMR) algorithm for synergistically addressing three key problems in network biology: (1) identifying the structure of biological networks from multivariate data, (2) predicting network response under previousl...

Full description

Bibliographic Details
Main Authors: Miller, Miles Aaron, Feng, Xiao-Jiang, Li, Genyuan, Rabitz, Herschel A.
Other Authors: Massachusetts Institute of Technology. Department of Biological Engineering
Format: Article
Language:en_US
Published: Public Library of Science 2012
Online Access:http://hdl.handle.net/1721.1/72347
_version_ 1811074766937784320
author Miller, Miles Aaron
Feng, Xiao-Jiang
Li, Genyuan
Rabitz, Herschel A.
author2 Massachusetts Institute of Technology. Department of Biological Engineering
author_facet Massachusetts Institute of Technology. Department of Biological Engineering
Miller, Miles Aaron
Feng, Xiao-Jiang
Li, Genyuan
Rabitz, Herschel A.
author_sort Miller, Miles Aaron
collection MIT
description This work presents an adapted Random Sampling - High Dimensional Model Representation (RS-HDMR) algorithm for synergistically addressing three key problems in network biology: (1) identifying the structure of biological networks from multivariate data, (2) predicting network response under previously unsampled conditions, and (3) inferring experimental perturbations based on the observed network state. RS-HDMR is a multivariate regression method that decomposes network interactions into a hierarchy of non-linear component functions. Sensitivity analysis based on these functions provides a clear physical and statistical interpretation of the underlying network structure. The advantages of RS-HDMR include efficient extraction of nonlinear and cooperative network relationships without resorting to discretization, prediction of network behavior without mechanistic modeling, robustness to data noise, and favorable scalability of the sampling requirement with respect to network size. As a proof-of-principle study, RS-HDMR was applied to experimental data measuring the single-cell response of a protein-protein signaling network to various experimental perturbations. A comparison to network structure identified in the literature and through other inference methods, including Bayesian and mutual-information based algorithms, suggests that RS-HDMR can successfully reveal a network structure with a low false positive rate while still capturing non-linear and cooperative interactions. RS-HDMR identified several higher-order network interactions that correspond to known feedback regulations among multiple network species and that were unidentified by other network inference methods. Furthermore, RS-HDMR has a better ability to predict network response under unsampled conditions in this application than the best statistical inference algorithm presented in the recent DREAM3 signaling-prediction competition. RS-HDMR can discern and predict differences in network state that arise from sources ranging from intrinsic cell-cell variability to altered experimental conditions, such as when drug perturbations are introduced. This ability ultimately allows RS-HDMR to accurately classify the experimental conditions of a given sample based on its observed network state.
first_indexed 2024-09-23T09:55:02Z
format Article
id mit-1721.1/72347
institution Massachusetts Institute of Technology
language en_US
last_indexed 2024-09-23T09:55:02Z
publishDate 2012
publisher Public Library of Science
record_format dspace
spelling mit-1721.1/723472022-09-26T14:33:43Z Identifying Biological Network Structure, Predicting Network Behavior, and Classifying Network State With High Dimensional Model Representation (HDMR) Miller, Miles Aaron Feng, Xiao-Jiang Li, Genyuan Rabitz, Herschel A. Massachusetts Institute of Technology. Department of Biological Engineering Miller, Miles Aaron Miller, Miles Aaron This work presents an adapted Random Sampling - High Dimensional Model Representation (RS-HDMR) algorithm for synergistically addressing three key problems in network biology: (1) identifying the structure of biological networks from multivariate data, (2) predicting network response under previously unsampled conditions, and (3) inferring experimental perturbations based on the observed network state. RS-HDMR is a multivariate regression method that decomposes network interactions into a hierarchy of non-linear component functions. Sensitivity analysis based on these functions provides a clear physical and statistical interpretation of the underlying network structure. The advantages of RS-HDMR include efficient extraction of nonlinear and cooperative network relationships without resorting to discretization, prediction of network behavior without mechanistic modeling, robustness to data noise, and favorable scalability of the sampling requirement with respect to network size. As a proof-of-principle study, RS-HDMR was applied to experimental data measuring the single-cell response of a protein-protein signaling network to various experimental perturbations. A comparison to network structure identified in the literature and through other inference methods, including Bayesian and mutual-information based algorithms, suggests that RS-HDMR can successfully reveal a network structure with a low false positive rate while still capturing non-linear and cooperative interactions. RS-HDMR identified several higher-order network interactions that correspond to known feedback regulations among multiple network species and that were unidentified by other network inference methods. Furthermore, RS-HDMR has a better ability to predict network response under unsampled conditions in this application than the best statistical inference algorithm presented in the recent DREAM3 signaling-prediction competition. RS-HDMR can discern and predict differences in network state that arise from sources ranging from intrinsic cell-cell variability to altered experimental conditions, such as when drug perturbations are introduced. This ability ultimately allows RS-HDMR to accurately classify the experimental conditions of a given sample based on its observed network state. 2012-08-27T17:34:18Z 2012-08-27T17:34:18Z 2012-06 2011-11 Article http://purl.org/eprint/type/JournalArticle 1932-6203 http://hdl.handle.net/1721.1/72347 Miller, Miles A. et al. “Identifying Biological Network Structure, Predicting Network Behavior, and Classifying Network State With High Dimensional Model Representation (HDMR).” Ed. Christina Chan. PLoS ONE 7.6 (2012): e37664. en_US http://dx.doi.org/10.1371/journal.pone.0037664 PLoS ONE Creative Commons Attribution http://creativecommons.org/licenses/by/2.5/ application/pdf Public Library of Science PLoS
spellingShingle Miller, Miles Aaron
Feng, Xiao-Jiang
Li, Genyuan
Rabitz, Herschel A.
Identifying Biological Network Structure, Predicting Network Behavior, and Classifying Network State With High Dimensional Model Representation (HDMR)
title Identifying Biological Network Structure, Predicting Network Behavior, and Classifying Network State With High Dimensional Model Representation (HDMR)
title_full Identifying Biological Network Structure, Predicting Network Behavior, and Classifying Network State With High Dimensional Model Representation (HDMR)
title_fullStr Identifying Biological Network Structure, Predicting Network Behavior, and Classifying Network State With High Dimensional Model Representation (HDMR)
title_full_unstemmed Identifying Biological Network Structure, Predicting Network Behavior, and Classifying Network State With High Dimensional Model Representation (HDMR)
title_short Identifying Biological Network Structure, Predicting Network Behavior, and Classifying Network State With High Dimensional Model Representation (HDMR)
title_sort identifying biological network structure predicting network behavior and classifying network state with high dimensional model representation hdmr
url http://hdl.handle.net/1721.1/72347
work_keys_str_mv AT millermilesaaron identifyingbiologicalnetworkstructurepredictingnetworkbehaviorandclassifyingnetworkstatewithhighdimensionalmodelrepresentationhdmr
AT fengxiaojiang identifyingbiologicalnetworkstructurepredictingnetworkbehaviorandclassifyingnetworkstatewithhighdimensionalmodelrepresentationhdmr
AT ligenyuan identifyingbiologicalnetworkstructurepredictingnetworkbehaviorandclassifyingnetworkstatewithhighdimensionalmodelrepresentationhdmr
AT rabitzherschela identifyingbiologicalnetworkstructurepredictingnetworkbehaviorandclassifyingnetworkstatewithhighdimensionalmodelrepresentationhdmr