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Bayesian Multiobjective Optimisation With Mixed Analytical and Black-Box Functions: Application to Tissue

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    This study introduces a novel Bayesian multiobjective optimization method to balance neotissue growth and operating costs in bone tissue engineering. The approach enhances data efficiency compared to genetic algorithms for complex optimization problems.

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    Area of Science:

    • Biomedical Engineering
    • Regenerative Medicine
    • Computational Biology

    Background:

    • Tissue engineering aims to restore biological function using scaffolds and bioreactors.
    • Optimizing neotissue growth in bone tissue engineering faces conflicting goals: maximizing growth and minimizing cost.
    • Current methods often rely on less data-efficient algorithms like genetic algorithms.

    Purpose of the Study:

    • To develop and evaluate a novel Bayesian multiobjective optimization method.
    • To optimize design variables for maximizing neotissue growth while minimizing operating costs in bone tissue engineering.
    • To address optimization problems combining analytical and black-box (simulation-based) objective functions.

    Main Methods:

    • Extended Bayesian multiobjective optimization for mixed analytical and black-box objectives.
    • Simulation of a partial differential equation system to model neotissue growth.
    • Comparison of the proposed method's data efficiency against genetic algorithms.

    Main Results:

    • The developed method effectively determines the trade-off between neotissue growth and operating cost.
    • Demonstrated superior data efficiency compared to genetic algorithms on a bone tissue engineering case study.
    • Validated performance on standard test functions, showing improved data efficiency.

    Conclusions:

    • The novel Bayesian multiobjective optimization approach offers a more data-efficient solution for complex engineering problems.
    • This method is applicable to real-world scenarios involving simulation-based models and quantifiable objectives like cost.
    • Provides a robust framework for balancing competing objectives in regenerative medicine and tissue engineering.