Topology across scales on heterogeneous cell data
Fig 6
Betti curves of red pulp, white pulp, and B cells populations in the murine spleen tissue.
A: Red pulp cell locations in the lupus murine spleen CODEX data. B: Red pulp normalised Betti-1 curves, which count the proportion of loops that are alive at a certain parameter value, relative to the total number of loops detected by PH (alpha). The peaks of the curves are due to a large proportion of cells within dense regions where many small-scale loops form. The location of the peak measures the typical scale of these dense environments. Differences in the location of the peak indicate an increase of density within the dense regions of the red pulp in disease. C: Cell counts of the red pulp cells for each sample. D: PCA plot of the red pulp normalised Betti-1 curves of the alpha filtration, where we observe two separated groups corresponding to healthy and diseased samples. E, F, G, H: same plots for white pulp cells, where the opposite phenomena is detected by the Betti-1 curves: a decrease in density in the dense regions of the white pulp in disease. I, J, K, L: same plots for B cells, where apart from a displacement in the peaks due to a decrease in density within the B follicles, we further identify a decrease in the height of the peak of Betti-1 curves as the disease progresses, signalling a reduction in the size of the B follicles.