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Position of Equilibrium in Acid-Base Reactions02:05

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The free energy change for a process may be viewed as a measure of its driving force. A negative value for ΔG represents a driving force for the process in the forward direction, while a positive value represents a driving force for the process in the reverse direction. When ΔGrxn is zero, the forward and reverse driving forces are equal, and the process occurs in both directions at the same rate (the system is at equilibrium).
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    We developed a new method for calibrating parameters in stochastic reaction network models. This approach uses moment matching for efficient inference from high-throughput data, suitable for complex systems.

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    Area of Science:

    • Systems Biology
    • Computational Chemistry
    • Biophysics

    Background:

    • Parameter calibration is essential for quantitative reaction network models.
    • Current stochastic model methods are limited to small systems or require extensive statistical sampling.
    • High-throughput data, such as from flow cytometry, presents new opportunities and challenges for model calibration.

    Purpose of the Study:

    • To present a novel inference procedure for calibrating parameters in stochastic models at equilibrium.
    • To enable the use of high-throughput data for parameter inference in complex reaction networks.
    • To provide a method that avoids approximating the equilibrium probability distribution.

    Main Methods:

    • The study introduces a moment matching scheme with optimal weighting for parameter inference.
    • The procedure is designed to be compatible with high-throughput data acquisition methods like flow cytometry.
    • Parameter estimation involves solving a linear system of equations when reaction rate constants are unknown.

    Main Results:

    • The proposed method effectively calibrates parameters for stochastic models in equilibrium.
    • It demonstrates applicability to systems generating high-throughput data.
    • The approach was validated through three distinct case studies, showing its practical utility.

    Conclusions:

    • The presented inference procedure offers an efficient and scalable solution for parameter calibration in stochastic reaction network models.
    • It overcomes limitations of existing methods, particularly for large and complex systems analyzed with high-throughput data.
    • The method provides a robust framework for advancing quantitative modeling in various scientific domains.