2 lines (1 with data), 190.7 kB

{"cells":[{"metadata":{},"cell_type":"markdown","source":"# ** DIscBIO: a user-friendly pipeline for biomarker discovery in single-cell transcriptomics**"},{"metadata":{},"cell_type":"markdown","source":"The pipeline consists of four successive steps: data pre-processing, cellular clustering and pseudo-temporal ordering, determining differential expressed genes and identifying biomarkers."},{"metadata":{},"cell_type":"markdown","source":"![DIsccBIO](DiscBIO.png)"},{"metadata":{},"cell_type":"markdown","source":"#                      CTC Notebook  [PART 2]\n\n#  Defining outlier cells  and evaluating clusters' stability and consistancy  "},{"metadata":{},"cell_type":"markdown","source":"## Required Packages"},{"metadata":{"trusted":false},"cell_type":"code","source":"library(DIscBIO)","execution_count":1,"outputs":[{"output_type":"stream","text":"Loading required package: SingleCellExperiment\n\nLoading required package: SummarizedExperiment\n\nLoading required package: MatrixGenerics\n\nLoading required package: matrixStats\n\n\nAttaching package: ‘MatrixGenerics’\n\n\nThe following objects are masked from ‘package:matrixStats’:\n\n    colAlls, colAnyNAs, colAnys, colAvgsPerRowSet, colCollapse,\n    colCounts, colCummaxs, colCummins, colCumprods, colCumsums,\n    colDiffs, colIQRDiffs, colIQRs, colLogSumExps, colMadDiffs,\n    colMads, colMaxs, colMeans2, colMedians, colMins, colOrderStats,\n    colProds, colQuantiles, colRanges, colRanks, colSdDiffs, colSds,\n    colSums2, colTabulates, colVarDiffs, colVars, colWeightedMads,\n    colWeightedMeans, colWeightedMedians, colWeightedSds,\n    colWeightedVars, rowAlls, rowAnyNAs, rowAnys, rowAvgsPerColSet,\n    rowCollapse, rowCounts, rowCummaxs, rowCummins, rowCumprods,\n    rowCumsums, rowDiffs, rowIQRDiffs, rowIQRs, rowLogSumExps,\n    rowMadDiffs, rowMads, rowMaxs, rowMeans2, rowMedians, rowMins,\n    rowOrderStats, rowProds, rowQuantiles, rowRanges, rowRanks,\n    rowSdDiffs, rowSds, rowSums2, rowTabulates, rowVarDiffs, rowVars,\n    rowWeightedMads, rowWeightedMeans, rowWeightedMedians,\n    rowWeightedSds, rowWeightedVars\n\n\nLoading required package: GenomicRanges\n\nLoading required package: stats4\n\nLoading required package: BiocGenerics\n\nLoading required package: parallel\n\n\nAttaching package: ‘BiocGenerics’\n\n\nThe following objects are masked from ‘package:parallel’:\n\n    clusterApply, clusterApplyLB, clusterCall, clusterEvalQ,\n    clusterExport, clusterMap, parApply, parCapply, parLapply,\n    parLapplyLB, parRapply, parSapply, parSapplyLB\n\n\nThe following objects are masked from ‘package:stats’:\n\n    IQR, mad, sd, var, xtabs\n\n\nThe following objects are masked from ‘package:base’:\n\n    anyDuplicated, append, as.data.frame, basename, cbind, colnames,\n    dirname, do.call, duplicated, eval, evalq, Filter, Find, get, grep,\n    grepl, intersect, is.unsorted, lapply, Map, mapply, match, mget,\n    order, paste, pmax, pmax.int, pmin, pmin.int, Position, rank,\n    rbind, Reduce, rownames, sapply, setdiff, sort, table, tapply,\n    union, unique, unsplit, which.max, which.min\n\n\nLoading required package: S4Vectors\n\n\nAttaching package: ‘S4Vectors’\n\n\nThe following object is masked from ‘package:base’:\n\n    expand.grid\n\n\nLoading required package: IRanges\n\nLoading required package: GenomeInfoDb\n\nLoading required package: Biobase\n\nWelcome to Bioconductor\n\n    Vignettes contain introductory material; view with\n    'browseVignettes()'. To cite Bioconductor, see\n    'citation(\"Biobase\")', and for packages 'citation(\"pkgname\")'.\n\n\n\nAttaching package: ‘Biobase’\n\n\nThe following object is masked from ‘package:MatrixGenerics’:\n\n    rowMedians\n\n\nThe following objects are masked from ‘package:matrixStats’:\n\n    anyMissing, rowMedians\n\n\n\n\n","name":"stderr"}]},{"metadata":{},"cell_type":"markdown","source":"## Loading dataset"},{"metadata":{},"cell_type":"markdown","source":"The \"CTCdataset\" dataset consisting of single migratory circulating tumor cells (CTCs) collected from patients with breast cancer. Data are available in the GEO database with accession numbers GSE51827, GSE55807, GSE67939, GSE75367, GSE109761, GSE111065 and GSE86978. The dataset should be formatted in a data frame where columns refer to samples and rows refer to genes. We provide here the possibility to load the dataset either as \".csv\" or \".rda\" extensions."},{"metadata":{"trusted":false},"cell_type":"code","source":"load(\"SC.RData\")           # Loading the \"SC\" object that has include the data of the k-means clustering \nload(\"Ndata.RData\")        # Loading the \"Ndata\" object and stored in the @ndata will be used to plot the expression of genes \nload(\"expdata.RData\")      # Loading the \"expdata\" object and stored in the @expdata will be used to plot the expression of genes \nsc<-SC                     # Storing the data of SC in the sc \nsc@ndata<-Ndata\nsc@expdata<-expdata\n\n########## Removing the unneeded objects\nrm(Ndata)\nrm(expdata)\nrm(SC)","execution_count":2,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"## 2. Cellular Clustering and Pseudo Time ordering"},{"metadata":{},"cell_type":"markdown","source":"#### Defining outlier cells based on K-means Clustering"},{"metadata":{},"cell_type":"markdown","source":"Outlier identification is implemented using a background model based on distribution of transcript counts within a cluster. The background model is computed using the mean and the variance of the expression of each gene in a cluster. Outliers are defined as cells with a minimum of “outlg” outlier genes. Here we are setting the minimum number of outlier genes (the “outlg” parameter) to 5% of the number of filtered genes, this is based on the recommendation of De Vienne et al. (De Vienne et al., 2012). "},{"metadata":{"scrolled":false,"trusted":false},"cell_type":"code","source":"outlg<-round(length(sc@fdata[,1]) * 0.05)     # The cell will be considered as an outlier if it has a minimum of 5% of the number of filtered genes as outlier genes.\nOutliers<- FindOutliers(sc, K=4, outminc=5,outlg=outlg,plot = TRUE, quiet = FALSE)","execution_count":3,"outputs":[{"output_type":"stream","text":"The following cells are considered outliers: \n\n\n","name":"stderr"},{"output_type":"stream","text":"named integer(0)\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"plot without 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RBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABA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\nsfcAAAAASUVORK5CYII="},"metadata":{"image/png":{"width":420,"height":420}}}]},{"metadata":{},"cell_type":"markdown","source":"#### Evaluating the stability and consistancy of the clusters"},{"metadata":{},"cell_type":"markdown","source":"DIscBIO enables the robustness assessment of the detected clusters in terms of stability and consistency using Jaccard’s similarity statistics and silhouette coefficients. Jaccard’s similarity index provides a comparison of members among clusters to evaluate the stability of the clusters with a range from 0% to 100%. The higher the percentage, the more stable the cluster is. Silhouette coefficients estimate how close each sample in one cluster is to samples in the neighboring clusters, reflecting the consistency of each cluster with a range of [-1, 1]. The higher the cluster mean coefficient, the more consistent the cluster is."},{"metadata":{},"cell_type":"markdown","source":"### Silhouette plot"},{"metadata":{"trusted":false},"cell_type":"code","source":"# Silhouette plot\nwithr::with_options(repr.plot.width=12, repr.plot.height=25)\nplotSilhouette(sc,K=4)       # K is the number of clusters","execution_count":4,"outputs":[{"output_type":"display_data","data":{"text/plain":"Plot with title “Silhouette plot of (x = kpart, dist = distances)”","image/png":"iVBORw0KGgoAAAANSUhEUgAABaAAAAu4CAIAAACYeIg0AAAACXBIWXMAABJ0AAASdAHeZh94\nAAAgAElEQVR4nOzdeUBVdf7/8XMXVgHZBEUUc6kxN7TcUnO3MUWZVFxJrQxNnEqtaUyTZsyp\nUHM0t7RxGb+miWYuCVrgJOUyLpiZFJELloK4gsnlAvf3x/3NOcfLdlk/HHg+/rqc+znnvO7h\neOW+7/t8js5isUgAAAAAAABaphcdAAAAAAAAoKIocAAAAAAAAM2jwAEAAAAAADSPAgcAAAAA\nANA8ChwAAAAAAEDzKHAAAAAAAADNo8ABAAAAAAA0jwIHAAAAAADQPAocAAAAAABA8yhwAAAA\nAAAAzaPAAQAAAAAANI8CBwAAAAAA0DwKHAAAAAAAQPMocAAAAAAAAM2jwAEAAAAAADSPAgcA\nAAAAANA8ChwAAAAAAEDzKHAAAAAAAADNo8ABAAAAAAA0jwIHAAAAAADQPAocAAAAAABA8yhw\nAAAAAAAAzaPAAQAAAAAANI8CBwAAAAAA0DwKHAAAAAAAQPMocAAAAAAAAM2jwAEAAAAAADSP\nAgcAAAAAANA8ChwAAAAAAEDzKHAAAAAAAADNo8ABAAAAAAA0jwIHAAAAAADQPAocAAAAAABA\n8yhwAAAAAAAAzaPAAQAAAAAANI8CBwAAAAAA0DwKHAAAAAAAQPMocAAAAAAAAM2jwFG1jEaj\n7n+OHj1a7uWoNlr8FeTl5f3zn//s1q2bp6enXq+3hh8zZow96w4dOtQ6Pjg4uKpzVgot/oKq\nWXZ2tk7l+++/l5+qI0ePI1DVLBZL69atrYdx1KhRouMAAAD8f0bRAbQnPj5+/fr1x44du3r1\nam5uro+Pj6+vb1BQUJcuXbp06dKjRw83NzfRGQXbu3fviRMnrI8ff/zxoUOHlnVALVCdr3HM\nmDE7duwox4qJiYn79u2zPn7ttdcqNRQeUGvO+VrzQsqNIyBJkk6nmzVr1pQpUyRJ2rFjx4kT\nJx5//HHRoQAAAChwlEVeXt7kyZM3b96sXnj16tWrV6+ePXt27969kiStX79+0qRJYvLVGHv3\n7l2zZo31cURERJEFjpIH1ALV9hpPnjyprm44Ozv7+fnpdLoGDRqUuu5f//pX64OmTZuOHj26\nihJCqkXnfK15IeXGEbAKDw+fN2/etWvXLBbLnDlzDhw4IDoRAAAABY6ymDt3rk11o1Qvv/xy\nfn6+9XGjRo2qIBTqOvnLZEmSmjRp8sMPP9jZQ3T8+PHExETr4/DwcKORd4Paj3ckjkBlcXJy\nGjdu3JIlSyRJOnjw4NmzZ9u1ayc6FAAAqOv4SGOvnJyc5cuXyz82btx45MiRQUFBkiSlp6ef\nOXPm8OHD9+7ds1lr8eLF1ZoSdU92drb8+OGHH7b/Cql169bJj7mKvo7gHYkjUIlGjRplLXBI\nkrRu3bp//vOfYvMAAABIFtjn+PHj8kFzdXXNyMiwGWAymXbs2HHkyBH1QoPBIK+lfsrO5Xfu\n3PnLX/7SokULJyenhg0bhoeHX7x4sch4p06dioiIePTRRz08PBwcHPz9/QcNGvThhx/+/vvv\n6mEXLlxQ//avXr1a3FPXr1+32cXZs2cjIyPbtm1bv359R0fHRo0aDRs2bPv27QUFBfKY4cOH\nl3Cy+fj4lDqgrHssmc3xvHr16ksvvRQUFOTk5BQYGDh16lT1ESj5V2P/cS7TayyOPTuaNWtW\nCTvavn17Cdv//fff3d3drSNbtmypfurSpUv169eXt7Np0yb1Wq1atZKfeu211+x5LZWruF+Q\nuv4oSdLy5cuLHG/PObB79+7Zs2f379+/VatWPj4+RqPR3d29VatWY8aM2b17d6mRrl+/PmPG\njGbNmhmNxj59+lTK+VCce/fuzZs37+GHH3ZycmrUqFF4ePhPP/2UlZWl3sXZs2dLPXomk2n1\n6tUDBw4MCAhwcnJydnYODAx8/PHHX3jhhdWrV9+4ccNSSSd2pauBR6CC58+NGzdmz57dvHnz\nUt/2f/nllzfeeKNr164+Pj4ODg4NGjQIDg5++eWXjx8/bjPS/vdSe46DWpMmTazJvb29TSaT\nXb8zAACAKkOBw15fffWV/DdoYGCgnZ+xK1Lg2Lp160MPPWTzN3TDhg3T0tLUuzCbzZGRkcX9\nzd20adMTJ07Ig22qGNbLp4t8Sl3gyM/Pf/3113U6XZG76Nevn/xXb2UVOOzfo/3H/6OPPvLx\n8bHZVIMGDb7//nt7fmX2H+cKfg60f0cVKXB8+eWX8shJkybZPLtx40Z1YLmcN3v2bHl5u3bt\ncnJySn4t69ata2G3BQsWlLw1qyJ/QRs3blSfLXJ1w1Kuc6BDhw4lHNjQ0NDc3NziIn366afy\nRz5Jknr37l11dYHr168XvijAzc1tz5496iWlfry/f/9+t27dSgh58OBBS4VP7Ko4GWrmEajI\n+fPxxx8XvnCm8Nt+QUHB3//+d/WKahMnTpRHlum91M7joKaeu+ebb76x57cGAABQdShw2Csl\nJUX9d97IkSMTEhLu379f8loVKXAUd63Bs88+q97FtGnTSvh7VJIkb2/vn3/+2TrYpoqRnp4u\nb6eEAofNB2m9Xm+TrVevXmaz2VJ5BQ7792j/8Xd0dCxypy1btlS3RRT3q7H/OFfwc6D9O6pI\ngSMqKkoe+eGHHxYeMGLECHnAmDFjLBbLsWPH5IPj6Oh45syZUo9/dHR0ya9F7eWXXy51g5ai\nfkE7d+5UL1RXNyzlOgfUH1A9PDzq1atnMz4qKqq4XdjM7frkk09WXYFjyJAhRW7T5h9LqR/v\n5asMrJydna19B/KSSilwVMXJUDOPQEXOHwcHhyI3bvO2P2fOnBKSqAscZXovtfM4FPdrfe+9\n9+z5rQEAAFQdChxl8Nhjj9n8Heng4NChQ4cpU6Z88sknWVlZhVepSIFDkqTHHnts/fr1K1eu\nVH+nV69evby8POt49YUzkiR17tx5//79p0+ffvfdd9V/lQ4fPtw63qaKob7QprgCx+nTp+Vv\n/3Q6XXR0tLWsc+zYsaZNm8rjP/roI4vFkp6efuHChXHjxsnLx40bd+F/Ll++XOqAsu6xZDbH\nMzQ0NDY2NjY2dtiwYerly5YtK/lXU6bjbM9rLE6ZdnTz5s0LFy6oP+r06NFD3tG9e/dK2NHg\nwYPltb7++uvCAzIzMxs2bCiP2bFjR5s2beQf33///VIPvqVaChwHDx50cnKSl9hUNyzlOgcm\nTZq0aNGi5ORk+Rimp6fPnDlTHuzj46Pu4bLZhcFgCA0Nfe2118LDw0NDQytyPpTgP//5j3qn\njz322Gefffaf//xnxowZNge21I/36kOxc+dO60vLy8s7d+7cihUr+vTp89VXX1kqdmJbquBk\nqLFHoILnT6lv+2fOnNHr9fJTvr6+S5cuPXPmzPnz53ft2jV69OjnnnvOOrKs76V2Hgc19c1T\nnnnmmVJ/awAAAFWKAkcZnDt3zt/fv7i/yN3c3KKiomzaCipS4AgMDMzOzrYuj4+PV+8rJSXF\nunzKlCnyQm9vb3WR5Z133pGf0ul01maNEto0insqIiJCXhgeHq5+dep7ynTp0kVerl4lIiKi\n8JEseUA59lgc9fHs2rWr/KEiPz9fXa7q1q1bkavIv5qyHmd7DkKRyrEj9efG/v3727mj4OBg\nea3z588XOWbfvn3yGHV55cknn8zPz7dzR5VO/QtasmSJ+uvxwtUNS7nOgSKZzWYXFxd5/A8/\n/FDkLgwGQ5EFo/KdDyVQb9DLy+vu3bvyU5MnT5ZUSv14/9RTT1mX6PX64qZ7qLoXUm7aOgJ2\nnj/2vO2rm7wMBsOpU6ds9nX79u3CUe15Ly3TcbA6deqUvJ3u3bvbeTQAAACqiPItEEr16KOP\nnjlz5qWXXpJnZ1TLzs6OioqaOHFiZe1u2rRp8oc3m+aR27dvWx/It/mUJCksLEzde/z888/L\njy0WyzfffFO+GIcPH5YfJyUlDVVZtWqV/NTJkyfNZnP5dlE9e3zuuefkLzP1er36I9CpU6fk\nO0cWqRqOczXvKDMzU37s7e1d5Jinn35a/oCUl5dnfeDh4bFp0yb1F8gCzZ49W7510fLly0uY\nu8TKznOgoKDg008/DQsLe+SRR9zd3Q0Gg06nc3BwuH//vjz+t99+K3IX48aN69WrV7lfkf3+\n+9//yo9HjRqlflNSnyr2kHtzCgoKHnnkkV69ek2ZMmXJkiUJCQk5OTmVkrYq1NgjUJHzx563\n/a+//lpeOGLEiI4dO9psRJ4kuKzvpeU4Dup3D/W7CgAAgBDcJrZs/P39V6xYsWTJkm+//fbw\n4cNHjhz55ptv1DP2b9myZebMmYUvZikH9eR5Nldxy582r127Ji+0mZHU39/f1dX1999/t/54\n9erVkndnsViKXK5e8ezZs2fPni1yWH5+fmZmZuHp8cqhivZoc3yaN28uP87Nzb19+3bh6Sdl\nlXicS1ZtO1LXhtTdGTYWL14cGxt76dIlecmiRYusd0euCQoKCqwP+vXrV2p1Q7LvHLh3796Q\nIUNsLn8oTH13XrVBgwaVGqNSZGRkyI+bNWumfkr9uuwxffr0jz/++M6dO5IkmUymxMREudDm\n7u4eERGxYMEC9XVANUTNPAIVPH/sedtXF0fat29fwl7K+l5ajuOgfvfIzc0tIQwAAEA1qBFf\nw2qOk5NT375933rrrf3792dmZi5evFj97KFDhyplL+rZCoubLV9dlSg8T37Jz0qqv5glSbp+\n/XqpuyiZyWSyc2TJqmiPNpuVPxuXdd1yHOcauCNfX1/58a1bt4obdvHixfT0dPUSdY9Jqdas\nWRNoN/W8p2UVHx+/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0SkA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\nf/31zp07b+s4y8jIOHsLgwcPDiH079//7LPPHj58+G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l122efPmc889N71Hac6c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\n8f4/whpfPd+l0WsAAAAASUVORK5CYII="},"metadata":{"image/png":{"width":720,"height":1500}}}]},{"metadata":{},"cell_type":"markdown","source":"### Jaccard Plot"},{"metadata":{},"cell_type":"markdown","source":"#### This function takes time"},{"metadata":{"trusted":false},"cell_type":"code","source":"withr::with_options(repr.plot.width=10, repr.plot.height=12)\nJaccard(sc,Clustering=\"K-means\", K=4, plot = TRUE)     # Jaccard ","execution_count":5,"outputs":[{"output_type":"display_data","data":{"text/html":"<style>\n.list-inline {list-style: none; margin:0; padding: 0}\n.list-inline>li {display: inline-block}\n.list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n</style>\n<ol class=list-inline><li>0.426</li><li>0.648</li><li>0.325</li><li>0.602</li></ol>\n","text/markdown":"1. 0.426\n2. 0.648\n3. 0.325\n4. 0.602\n\n\n","text/latex":"\\begin{enumerate*}\n\\item 0.426\n\\item 0.648\n\\item 0.325\n\\item 0.602\n\\end{enumerate*}\n","text/plain":"[1] 0.426 0.648 0.325 0.602"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"plot without title","image/png":"iVBORw0KGgoAAAANSUhEUgAABLAAAAWgCAIAAADB4i23AAAACXBIWXMAABJ0AAASdAHeZh94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\n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iUIAQAAAiUIAQAAAiUIAQAAAiUIAQA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\nv3n88cdTU1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