Perez et al introduce a novel visualisation method—persistence weighted death simplices (PWDS)—which maps topological features detected by persistent homology back to their locations in the original tissue data, enhancing interpretability

Vectorisation weightings for persistence diagrams were shown to be a computationally efficient alternative to multiparameter persistent homology. The methodology was validated on two annotated, multiplexed tissue datasets—lupus murine spleen and COVID-19-affected human lungs.

And it was shown that cell localisation patterns occurring at multiple spatial scales are relevant for disease progression.