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Parameter estimation with bio-inspired meta-heuristic optimization: modeling the dynamics of endocytosis
Katerina Tashkova1, Peter Korošec, Jurij Silc
1Computer Systems Department, JoŽef Stefan Institute, Jamova cesta 39, SI-1000 Ljubljana, Slovenia. katerina.taskova@ijs.si
Global meta-heuristic methods like differential evolution (DE) significantly outperform local methods for parameter estimation in biological ODE models. DE demonstrated superior performance in reconstructing system output and convergence speed across various data conditions, highlighting its promise for systems biology.
Area of Science:
- Systems Biology
- Computational Biology
- Biophysics
Background:
- Parameter estimation in nonlinear ordinary differential equation (ODE) models of biological dynamics is challenging due to noisy, incomplete data and complex systems.
- Estimating parameters for endocytosis dynamics, specifically the Rab5/Rab7 transition, serves as a representative complex optimization problem.
- Advanced meta-heuristic optimization methods are crucial for tackling these challenging parameter estimation tasks.
Purpose of the Study:
- To evaluate and compare the performance of global-search meta-heuristic algorithms against a local-search derivative-based algorithm for parameter estimation in ODE models.
- To assess the effectiveness of these algorithms on a specific model of endocytosis dynamics using both real and artificial experimental data.
- To determine the best-performing optimization method under varying data completeness, accuracy, and noise levels.
Main Methods:
- Applied three global-search meta-heuristic algorithms: differential ant-stigmergy algorithm (DASA), particle-swarm optimization (PSO), and differential evolution (DE).
- Included a local-search derivative-based algorithm (A717) for comparison.
- Evaluated performance based on output reconstruction quality, complete dynamics reconstruction, and convergence speed using real and artificially generated noisy data across different observation scenarios.
Main Results:
- Global meta-heuristic methods (DASA, PSO, DE) significantly outperformed the local derivative-based method (A717).
- Differential evolution (DE) showed the best performance in objective function value (output reconstruction) and convergence speed.
- These findings were consistent across real and artificial data, all observability scenarios, and varying noise levels.
Conclusions:
- Meta-heuristic methods, particularly DE, are highly suitable for parameter estimation in ODE models of biological systems like endocytosis.
- Bio-inspired meta-heuristic approaches offer a promising solution for parameter estimation challenges in systems biology.
- The study validates the effectiveness of DE for dynamic system modeling parameter estimation under diverse and realistic conditions.
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