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Topological sensitivity analysis for systems biology.

Ann C Babtie1, Paul Kirk1, Michael P H Stumpf2

  • 1Centre for Integrative Systems Biology and Bioinformatics, Department of Life Sciences, Imperial College London, London SW7 2AZ, United Kingdom.

Proceedings of the National Academy of Sciences of the United States of America
|December 17, 2014
PubMed
Summary
This summary is machine-generated.

Mathematical models require careful statistical inference. This study introduces a computational framework to evaluate differential equation models in biology, assessing structural uncertainty for more reliable conclusions.

Keywords:
biological networksdynamical systemsnetwork inferencerobustness analysis

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Area of Science:

  • Computational Biology
  • Mathematical Modeling
  • Systems Biology

Background:

  • Mathematical models simplify complex natural systems.
  • Numerous models can fit biological data, leading to structural uncertainty.
  • Ignoring this uncertainty can bias analyses and yield misleading conclusions.

Purpose of the Study:

  • To develop a computational framework for evaluating differential equation models in biological systems.
  • To systematically assess vast sets of candidate models using experimental and prior knowledge.
  • To quantitatively evaluate the impact of model structure on inferences and predictions.

Main Methods:

  • Development of a computational framework for model evaluation.
  • Application of topological sensitivity analysis.
  • Systematic evaluation of differential equation models against experimental data and prior knowledge.

Main Results:

  • A method to quantitatively assess the dependence of model inferences on assumed structures.
  • Identification of biases and misleading conclusions arising from unaddressed structural uncertainty.
  • A systematic approach to navigate large sets of potential biological models.

Conclusions:

  • Structural uncertainty in mathematical models is a critical factor.
  • The developed framework enables robust evaluation of biological models.
  • Considering structural uncertainty is essential for accurate scientific conclusions in systems biology.