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A Sensitivity Analysis Methodology for Rule-Based Stochastic Chemical Systems.

Erika M Herrera Machado1,2, Jakob L Andersen1, Rolf Fagerberg1

  • 1Department of Mathematics and Computer Science, University of Southern Denmark, Odense 5230, Denmark.

Journal of Chemical Information and Modeling
|January 19, 2026
PubMed
Summary
This summary is machine-generated.

This study presents a new sensitivity analysis method for stochastic chemical systems. It efficiently identifies sensitive parameters and regions by adaptively guiding simulations and visualizing results for broader applicability.

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Area of Science:

  • Computational Chemistry
  • Chemical Kinetics
  • Systems Biology

Background:

  • Stochastic systems in chemistry are common, but analyzing their parameter sensitivity is challenging.
  • Traditional methods may not fully capture the impact of intrinsic noise on system dynamics.
  • A robust and flexible sensitivity analysis is needed for complex chemical and biochemical models.

Purpose of the Study:

  • To develop a novel sensitivity analysis methodology for stochastic chemical systems.
  • To provide an intuitive and computationally efficient approach for identifying sensitive parameters and regions.
  • To enable the analysis of diverse, problem-specific output observables.

Main Methods:

  • Gradient estimation using finite differences and averaging simulation outcomes.
  • Characterization of gradient uncertainty as an angular range.
  • Adaptive guidance of simulation numbers based on uncertainty.
  • Vector field plots for visualizing local sensitivity and computation of global sensitivity coefficients.
  • Application to Michaelis-Menten kinetics and the formose reaction using MØD software.

Main Results:

  • The methodology adaptively optimizes computational cost while maintaining robustness.
  • Identification of sensitive parameters and distinct regions of sensitivity within the parameter space.
  • Demonstrated broad applicability through successful application to diverse chemical systems.
  • Intuitive visualization of local sensitivity across parameter space.

Conclusions:

  • The proposed sensitivity analysis method offers a robust, efficient, and flexible framework for stochastic chemical systems.
  • It enhances understanding of parameter importance and system behavior across different regions of the parameter space.
  • The approach is broadly applicable to various chemical and biochemical modeling scenarios, facilitating deeper insights into complex reaction dynamics.