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Squeeze-and-breathe evolutionary Monte Carlo optimization with local search acceleration and its application to
Mariano Beguerisse-Díaz1, Baojun Wang, Radhika Desikan
1Department of Mathematics, Imperial College London, London SW7 2AZ, UK. m.beguerisse-diaz08@imperial.ac.uk
This study introduces a novel algorithm for biological model parameter fitting, effectively estimating parameters from sparse, noisy data even without prior knowledge. The method combines evolutionary algorithms, sequential Monte Carlo, and direct search for efficient and robust optimization.
Area of Science:
- Computational Biology
- Systems Biology
- Bioinformatics
Background:
- Parameter estimation is crucial for biological modeling, but often challenged by sparse and noisy datasets.
- Existing heuristic methods have limitations in biological applications, especially when parameter ranges are unknown.
Purpose of the Study:
- To develop a robust and efficient algorithm for model parameter fitting in biological systems.
- To address challenges posed by unknown parameter magnitudes and ranges in complex datasets.
Main Methods:
- A novel algorithm combining evolutionary algorithms, sequential Monte Carlo, and direct search optimization.
- Iterative refinement of parameter distributions using local optimization and partial resampling.
- Utilizes a historical prior defined over all previous iterations for robust estimation.
Main Results:
- The algorithm performs well even with unknown parameter orders of magnitude or ranges.
- Efficient parameter estimation demonstrated on both simulated and real biological experimental data.
- Successfully estimates parameters in the absence of a priori knowledge.
Conclusions:
- The developed algorithm offers an efficient and robust solution for parameter estimation in biological modeling.
- Applicable to diverse biological systems, enhancing the reliability of model-based analyses.
- Provides a valuable tool for researchers dealing with complex, data-limited biological models.
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