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. 2021 Feb 25;11:4530. doi: 10.1038/s41598-021-83858-x

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© The Author(s) 2021

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Individual nearest neighbor distance G function and theoretical Poisson curves graphics for the identification of different cellular patterns of distance distribution from malignant cells (panCK +) to T-cells CD3 + phenotypes. (A to E) showing the scoring scale that the image represent across the cases and the threshold to be considered mixed or unmixed pattern (left side) , graphic distribution representation of the T-cell phenotypes and panCK cells (middle side) and the nearest neighbor distance G function and theoretical Poisson curves area (right side). (A) Mixed pattern distribution between T-cells CD3 + and panCK + cells, (B) unmixed pattern distribution between T-cells CD3 + and panCK + cells, (C) unmixed pattern distribution between cytotoxic T-cells (CD3 + CD8 +) and panCK + cells, (D) mixed pattern distribution between antigen experienced T-cells (CD3 + PD + 1) and panCK + cells, (E) mixed pattern distribution between regulatory T-cells (CD3 + Foxp3 + CD8-) and panCK + cells, and (F) graphical model showing the spatial distribution interaction between cytotoxic T-cells, antigen experienced T-cells and regulatory T-cells related to malignant cells showing the different curves of distribution according the T-cell phenotypes analysed. The images were generated using R studio software version 3.6.1.