ArticleBulletin of mathematical biology2017
Methods of Model Reduction for Large-Scale Biological Systems: A Survey of Current Methods and Trends.
Article in Bulletin of mathematical biology, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 39 papers.
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39 citing papers in PubMed.
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- Tackling High Dimensionality in QSP: Guiding Model Order Reduction With Index Analysis.CPT: pharmacometrics & systems pharmacology · 2026Article
- Quantifying and comparing causal patterns in stochastic chemical reaction networks.NPJ systems biology and applications · 2026Article
- From images to physics-based computational models to digital twins: a framework for personalized cancer therapies.Frontiers in radiology · 2026Article
- Building dynamical models of multi-step state transitions from single cell gene expression trajectories.bioRxiv : the preprint server for biology · 2025Article
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- A Hybrid Approach to Model Reduction of Generalized Langevin Dynamics.Journal of statistical physics · 2025Article
- Bridging systems biology and tissue engineering: Unleashing the full potential of complex 3DBiophysics reviews · 2024Review
- Incorporating Intracellular Processes in Virus Dynamics Models.Microorganisms · 2024Review
- First-order ultrasensitivity in phosphorylation cycles.Interface focus · 2024Article
- Parameter Estimation for Kinetic Models of Chemical Reaction Networks from Partial Experimental Data of Species' Concentrations.Bioengineering (Basel, Switzerland) · 2023Article
- Sensitivity analysis of biochemical systems using bond graphs.Journal of the Royal Society, Interface · 2023Article
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- On the parameter combinations that matter and on those that do not: data-driven studies of parameter (non)identifiability.PNAS nexus · 2022Article
- Algorithmic multiscale analysis for the FcRn mediated regulation of antibody PK in human.Scientific reports · 2022Article
- A Quantitative Systems Pharmacology Perspective on the Importance of Parameter Identifiability.Bulletin of mathematical biology · 2022Article
- HillTau: A fast, compact abstraction for model reduction in biochemical signaling networks.PLoS computational biology · 2021Article
- Balanced truncation for model reduction of biological oscillators.Biological cybernetics · 2021Article
- Implementation and acceleration of optimal control for systems biology.Journal of the Royal Society, Interface · 2021Review
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Abstract
Complex models of biochemical reaction systems have become increasingly common in the systems biology literature. The complexity of such models can present a number of obstacles for their practical use, often making problems difficult to intuit or computationally intractable. Methods of model reduction can be employed to alleviate the issue of complexity by seeking to eliminate those portions of a reaction network that have little or no effect upon the outcomes of interest, hence yielding simplified systems that retain an accurate predictive capacity. This review paper seeks to provide a brief overview of a range of such methods and their application in the context of biochemical reaction network models. To achieve this, we provide a brief mathematical account of the main methods including timescale exploitation approaches, reduction via sensitivity analysis, optimisation methods, lumping, and singular value decomposition-based approaches. Methods are reviewed in the context of large-scale systems biology type models, and future areas of research are briefly discussed.
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