Multi-objective Bayesian inference in an agent-based model of zebrafish patterns via topological data analysis

TL;DR

This paper introduces a multi-objective Bayesian inference method combined with topological data analysis to infer parameters and rules in agent-based models of zebrafish patterns, enhancing model interpretability and predictive power.

Contribution

It presents a novel approach integrating topological data analysis with Bayesian inference for parameter and rule inference in complex agent-based models.

Findings

Achieved practical identifiability of parameters in zebrafish pattern models.

Reframed parameter inference as rule inference to find simpler, consistent models.

Demonstrated the method's effectiveness through multiple case studies.

Abstract

Spatial patterns arising from the collective behavior of individual agents are present across biological systems. While agent-based models offer a natural framework for uncovering unknown agent (e.g., cell) interactions, these stochastic models face significant challenges. For spatial patterns, agent-based modeling often involves manual tuning to attain qualitative consistency with multiple experiments. This process limits predictive power and raises questions about parameter identifiability and model uniqueness. Combining topological techniques and Bayesian computation, we present a multi-objective methodology for parameter inference in detailed models. We illustrate our approach by inferring parameters in an agent-based model of zebrafish patterns, achieving practical identifiability in several case studies. By introducing extended prior distributions, we then reframe parameter inference as rule inference, allowing us to search across over 80 candidate agent-based rules to identify an alternative, simpler model consistent with our data.