Abstract

BackgroundModelling of time series data should not be an approximation of input data profiles, but rather be able to detect and evaluate dynamical changes in the time series data. Objective criteria that can be used to evaluate dynamical changes in data are therefore important to filter experimental noise and to enable extraction of unexpected, biologically important information.ResultsHere we demonstrate the effectiveness of a Markov model, named the Linear Dynamical System, to simulate the dynamics of a transcript or metabolite time series, and propose a probabilistic index that enables detection of time-sensitive changes. This method was applied to time series datasets from Bacillus subtilis and Arabidopsis thaliana grown under stress conditions; in the former, only gene expression was studied, whereas in the latter, both gene expression and metabolite accumulation. Our method not only identified well-known changes in gene expression and metabolite accumulation, but also detected novel changes that are likely to be responsible for each stress response condition.ConclusionThis general approach can be applied to any time-series data profile from which one wishes to identify elements responsible for state transitions, such as rapid environmental adaptation by an organism.

Highlights

  • Modelling of time series data should not be an approximation of input data profiles, but rather be able to detect and evaluate dynamical changes in the time series data

  • The transition point is detected by the logarithm of the likelihood values

  • Relevant factors such as genes and/or metabolites related to the transitions are extracted by Batch-Learning Self Organizing Mapping (BL-SOM) using changes in expression levels [7]

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Summary

Introduction

Modelling of time series data should not be an approximation of input data profiles, but rather be able to detect and evaluate dynamical changes in the time series data. Objective criteria that can be used to evaluate dynamical changes in data are important to filter experimental noise and to enable extraction of unexpected, biologically important information. Investigating the responses of cells (and organisms) to environmental changes typically requires a system-level analysis of the interactions between the various molecular elements (genes, enzymes, and metabolites) that comprise the system. A key step to analyze system responses to environmental changes is identifying large state changes or "transitions". A statistical method that could detect such transitions would be a powerful analytical tool for finding important factors in large-scale profiles, such as variations in gene expression.

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