Fig. 8

Spatially variable genes identified by spVC in the cerebellum spatial transcriptomics data. A Relative expression levels of Fxyd6, Sparc, and Ttr. The read counts were normalized by library size, log-transformed, and then scaled by the min-max normalization to obtain the relative expression levels. B Estimated residual spatial effects (\(\hat{\gamma }_0(\cdot )\)) of Fxyd6, Sparc, and Ttr. C Number of genes with significant spatially varying effects of each of the six cell types. D Relative expression levels of Aldoc, Calb2, and Snhg11. E Estimated spatially varying effects of cell type proportions for Aldoc (Purkinje cells), Calb2 (granule cells), and Snhg11 (granule cells). F Expected gene expression of Aldoc, Calb2, and Snhg11 estimated by the reduced model which did not consider the spatially varying coefficients of cell type proportions. The shown values were scaled by the min-max normalization. G Expected gene expression of Aldoc, Calb2, and Snhg11 estimated by the full spVC model. The shown values were scaled by the min-max normalization