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CPS1972 Livio Corain et al.
                Each identified cell was described by a set of morphometric descriptors
            characterizing  its  shape  and  its  local  relationship  with  surrounding  cells
            (Table 1). These measures can be broadly assigned to three domains: size,
            regularity and density. Size and regularity address cell morphology and are
            composed  of  classic  measures  on  shapes,  while  density  attempts  to
            characterize the context around each cell by counting the number of cells
            present within a radius of 50 μm or within 100 μm around it.

















              Table 1: morphological domains and morphometric descriptors, along with
             their description and/or mathematical formula. Actual data were obtained by
            using corresponding Matlab functions. Convex circularity was used instead of
             traditional circularity in order to avoid meaningless values that can result in
                                       case of very small cells

                It is worth noting that for all size-related morphometric measures the rule
            "the larger they are, the larger is the neuron dimension" applies. Seemingly,
            for  all  regularity-based  descriptors  the  rule  "the  larger  they  are,  the  more
            regular is the neuron" takes place; note that all regularity-based descriptors
            are measured as dimensionless ratios  bounded in the closed interval [0;1].
            Finally, both density-related descriptors refer to the less or large amount of
            neighbour cells that are placed all around a given cell.
                We applied the proposed multi-aspect permutation testing and ranking
            method for cytomorphometric data either jointly across all three cortical layers
            or separately for each layer (external molecular, Purkinje and granular layer).
            As in Table 2, we analysed morphometric data by describing the location and
            scatter  results  separately  for  each  one  morphological  domain,  i.e.  size,
            regularity and density respectively. Results of multi-aspect permutation-based
            testing and ranking, are presented in Table 2.

            Table 2: Testing and ranking results by layer, domain and aspects. Pairwise
            between-populations location and scatter one-sided adjusted permutation p-
            values  are  presented  in  squared  matrices.  In  each  cell  the  alternative
            hypothesis is “population-in-row is larger than population-in-column”. The 5%
            significant p-values are highlighted in bold. Location and scatter rankings are


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