# Simulation-based inference of cell migration dynamics in complex spatial environments

## TL;DR

The paper shows how combining experiments with a computational model helps understand how cells move in complex environments.

## Contribution

A novel data-driven framework using neural posterior estimation improves parameter inference in cell migration models.

## Key findings

- Spatial constraints modulate cell motility dynamics like speed and directional changes.
- Classical statistics fail to capture spatiotemporal patterns in cell migration.
- Neural posterior estimation enables robust parameter inference in structured microenvironments.

## Abstract

To assess cell migration in complex spatial environments, microfabricated chips, such as mazes and pillar forests, are routinely used to impose spatial and mechanical constraints, and cell trajectories are followed within these structures by advanced imaging techniques. In systems mechanobiology, computational models serve as essential tools to uncover how physical geometry influences intracellular dynamics; however, decoding such complex behaviors requires advanced inference techniques. Here, we integrated experimental observations of dendritic cell migration in a geometrically constrained microenvironment into a Cellular Potts model. We demonstrated that these spatial constraints modulate the motility dynamics, including speed and directional changes. We show that classical summary statistics, such as mean squared displacement and turning angle distributions, can resolve key mechanistic features but fail to extract richer spatiotemporal patterns, limiting accurate parameter inference. To solve this, we applied neural posterior estimation with in-the-loop learning of summary features. This learned summary representation of the data enables robust and flexible parameter inference, providing a data-driven framework for model calibration and advancing quantitative analysis of cell migration in structured microenvironments.