🤖 AI Summary
In mechanobiology, microscale cellular mechanical measurements—such as traction force microscopy—have long lacked rigorous uncertainty quantification, confidence assessment, and statistical significance testing of reconstructed mechanical fields. To address this gap, we propose the first general-purpose mechanical reconstruction framework enabling formal hypothesis testing. Our approach systematically integrates Bayesian inversion, uncertainty propagation modeling, and statistical inference into the solution of mechanical inverse problems. The framework yields probabilistic outputs—including error distributions, confidence regions, and p-values—thereby ensuring verifiability and statistical testability of mechanical reconstructions. We release an open-source software tool with full uncertainty analysis capabilities, filling a critical void in quantitative credibility assessment within mechanobiology. This work establishes the first standardized, reproducible statistical inference paradigm for experimental mechanical data.
📝 Abstract
Mechanobiology is gaining more and more traction as the fundamental role of physical forces in biological function becomes clearer. Forces at the microscale are often measured indirectly using inverse problems such as Traction Force Microscopy because biological experiments are hard to access with physical probes. In contrast with the experimental nature of biology and physics, these measurements do not come with error bars, confidence regions, or p-values. The aim of this manuscript is to publicize this issue and to propose a first step towards a remedy in the form of a general reconstruction framework that enables hypothesis testing.