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Parameter estimation with a novel gradient-based optimization method for biological lattice-gas cellular automaton
Carsten Mente1, Ina Prade, Lutz Brusch
1Department for Innovative Methods of Computing, Center for Information Services and High Performance Computing, Technische Universität Dresden, Nöthnitzer Strasse 46, 01062 Dresden, Germany. carsten.mente@tu-dresden.de
This study introduces a two-phase optimization algorithm for parameter estimation in lattice-gas cellular automata (LGCAs) models. The method effectively estimates parameters for collective cell behavior, demonstrated using angiogenic pattern formation.
Area of Science:
- Computational Biology
- Mathematical Modeling
- Systems Biology
Background:
- Lattice-gas cellular automata (LGCAs) are stochastic models simulating collective cell behavior and pattern formation.
- Accurate parameter estimation is crucial for the predictive power of LGCA models.
- Existing methods may struggle with global parameter optimization in complex LGCA systems.
Purpose of the Study:
- To present a novel two-phase optimization algorithm for global parameter estimation in LGCA models.
- To enhance the accuracy and reliability of LGCA simulations for biological systems.
- To apply the algorithm to a specific biological phenomenon: early in vitro angiogenic pattern formation.
Main Methods:
- A two-phase optimization approach combining gradient-based local optimization with global optimization.
- Utilizing algorithmic differentiation to compute gradient information efficiently.
- Employing a multi-level single-linkage method for robust global parameter set optimization.
Main Results:
- Successfully implemented and validated the two-phase optimization algorithm for LGCA parameter estimation.
- Demonstrated the algorithm's efficacy on an LGCA model of in vitro angiogenic pattern formation.
- The algorithm effectively identifies optimal parameter sets, improving model fidelity.
Conclusions:
- The presented two-phase optimization algorithm provides an effective strategy for global parameter estimation in LGCA models.
- This approach enhances the utility of LGCAs for studying complex biological pattern formation.
- The method is applicable to various biological systems requiring accurate parameterization of stochastic models.
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