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Reverse engineering morphogenesis through Bayesian optimization of physics-based models.

Nilay Kumar1, Mayesha Sahir Mim1,2, Alexander Dowling1

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We developed a Bayesian optimization framework to predict organ shape by calibrating physics-based models. This method successfully infers cellular force distributions, aiding in understanding developmental processes and diseases.

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Area of Science:

  • Developmental Biology
  • Systems Biology
  • Biophysics
  • Computational Biology

Background:

  • Organ shape is determined by complex morphogenetic programs involving cell signaling and mechanical forces.
  • Predicting organ shape requires accurate physics-based models of subcellular force distribution, but parameter calibration from data is challenging.
  • Understanding these mechanisms is crucial for fields ranging from developmental biology to cancer research.

Purpose of the Study:

  • To develop a Bayesian optimization framework to solve the inverse problem of calibrating physics-based models for organ morphogenesis.
  • To determine optimal cellular force distributions that predict experimentally observed organ shapes.
  • To apply this framework to study epithelial processes in Drosophila wing imaginal discs.

Main Methods:

  • Utilized a Bayesian optimization framework integrated with Gaussian Process Regression (GPR) for machine learning.
  • Employed GPR to learn mapping functions between morphogenetic programs and final organ shape.
  • Calibrated and tested the framework on Drosophila wing imaginal disc data, including perturbations with collagenase.

Main Results:

  • The framework successfully inferred underlying parameter changes to match simulation and experimental imaging data.
  • Identified distinct parameter sets that mimic wild-type shapes and enable global sensitivity analysis.
  • Discovered that Piezo, a mechanosensitive ion channel, influences fold formation by regulating actomyosin contractility and extracellular matrix (ECM) elasticity.

Conclusions:

  • The developed computational pipeline effectively reverse-engineers morphogenetic mechanisms by inferring cellular force distributions.
  • Actomyosin contractility and basal ECM stiffness are key regulators of the curved shape in Drosophila wing imaginal discs.
  • This workflow is extensible for studying organ systems and for real-time control of multicellular systems.