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Table 1 Comparison of direct and indirect interaction for three registered sections in a case with loose lymphoid infiltrates

From: On the representation of cells in bone marrow pathology by a scalar field: propagation through serial sections, co-localization and spatial interaction analysis

  Direct interaction/RBFdirect    Indirect interaction/RBFindirect   
  CD3 CD3 Bone CD4 CD4 Bone CD8 CD8 Bone CD20 CD20 Bone CD3 CD3 Bone CD4 CD4 Bone CD8 CD8 Bone CD20 CD20 Bone
CD3   MCD3 = 0.00 MCD3 = 0.00b MCD3 = 0.02 MCD3 = 0.00b MCD3 = 0.02 MCD3 = 0.10a MCD3 = 0.00   MCD3 = 0.60 MCD3 = 0.54 MCD3 = 0.36 MCD3 = 0.54 MCD3 = 0.36 MCD3 = 0.69a MCD3 = 0.60
CD3 Bone MCD3Bone = 0.00   MCD3Bone = 0.03 MCD3Bone = 0.43a MCD3Bone = 0.00 MCD3Bone = 0.43b MCD3Bone=0.00 MCD3Bone=0.88 MCD3Bone = 0.89   MCD3Bone = 0.71 MCD3Bone = 0.50 MCD3Bone = 0.71 MCD3Bone = 0.50 MCD3Bone=0.59 MCD3Bone=0.98
CD4 MCD4 = 0.00b MCD4 = 0.61   MCD4 = 0.00 MCD4 = 0.00 MCD4 = 0.00 MCD4 = 0.00 MCD4 = 0.39 MCD4 = 0.91 MCD4 = 0.80   MCD4 = 0.24 MCD4 = 0.72 MCD4 = 0.21 MCD4 = 0.69 MCD4 = 0.24
CD4 Bone MCD4Bone = 0.00 MCD4Bone = 0.79a MCD4Bone = 0.00   MCD4Bone = 0.00 MCD4Bone=0.84 MCD4Bone=0.01 MCD4Bone=0.31 MCD4Bone = 0.88 MCD4Bone = 0.83 MCD4Bone = 0.36   MCD4Bone = 0.66 MCD4Bone=0.92 MCD4Bone=0.54 MCD4Bone=0.82
CD8 MCD8 = 0.00b MCD8 = 0.00 MCD8 =0.00 MCD8 = 0.00   MCD8 = 0.00 MCD8 = 0.00 MCD8 = 0.00 MCD8 = 0.91 MCD8 = 0.80 MCD8 = 0.50 MCD8 = 0.31   MCD8 = 0.27 MCD8 = 0.80 MCD8 = 0.51
CD8 Bone MCD8Bone = 0.00 MCD8Bone = 0.71b MCD8Bone = 0.00 MCD8Bone = 0.96 MCD8Bone = 0.00   MCD8Bone=0.01 MCD8Bone=0.25 MCD8Bone = 0.89 MCD8Bone = 0.83 MCD8Bone = 0.21 MCD8Bone = 1.00 MCD8Bone = 0.64   MCD8Bone=0.51 MCD8Bone=0.83
CD20 MCD20=0.15 a MCD20=0.00 MCD20 = 0.00 MCD20 = 0.06 MCD20 = 0.00 MCD20 = 0.07   MCD20 = 0.00 MCD20=0.99 a MCD20=0.57 MCD20 = 0.59 MCD20 = 0.31 MCD20 = 0.99 MCD20 = 0.27   MCD20 = 0.58
CD20 Bone MCD20Bone=0.00 MCD20Bone=0.91 MCD20Bone=0.03 MCD20Bone=0.46 MCD20Bone=0.00 MCD20Bone=0.44 MCD20Bone=0.00   MCD20Bone=0.90 MCD20Bone=0.99 MCD20Bone=0.36 MCD20Bone=0.50 MCD20Bone=0.68 MCD20Bone=0.46 MCD20Bone=0.60  
  1. Three sequential sections stained for CD3, CD20, CD4 and CD8 were registered and subsequently the overlap coefficients were calculated for direct and indirect interaction (application of RBFdirect with its sharp shape and respectively RBFindirect with its broad silhouette)
  2. aAs expected, small overlap/direct interaction between CD3+ and CD20+ cells and noticeable indirect, paracrine interaction
  3. bUnexpected low overlap between the T cell markers CD3, CD4 and CD8 assumedly due to morphological changes in the course of serial sectioning (see arrows in Additional file 3: Figure S3). Modification of the RBFdirect would overcome this problem, however, at the cost of reduced specificity